optirs_learned/
meta_learning.rs

1// Advanced Meta-Learning for Learned Optimizers
2//
3// This module implements state-of-the-art meta-learning algorithms for training
4// learned optimizers, including MAML, Reptile, Meta-SGD, and other advanced
5// techniques for few-shot optimization and rapid adaptation.
6
7#[allow(dead_code)]
8use scirs2_core::ndarray::{Array1, Array2, Dimension};
9use scirs2_core::numeric::Float;
10use std::collections::{HashMap, VecDeque};
11use std::fmt::Debug;
12use std::time::Instant;
13
14#[allow(unused_imports)]
15use crate::error::Result;
16use optirs_core::optimizers::Optimizer;
17
18/// Meta-Learning Framework for Learned Optimizers
19pub struct MetaLearningFramework<T: Float + Debug + Send + Sync + 'static> {
20    /// Meta-learning configuration
21    config: MetaLearningConfig,
22
23    /// Meta-learner implementation
24    meta_learner: Box<dyn MetaLearner<T> + Send + Sync>,
25
26    /// Task distribution manager
27    task_manager: TaskDistributionManager<T>,
28
29    /// Meta-validation system
30    meta_validator: MetaValidator<T>,
31
32    /// Adaptation engine
33    adaptation_engine: AdaptationEngine<T>,
34
35    /// Transfer learning manager
36    transfer_manager: TransferLearningManager<T>,
37
38    /// Continual learning system
39    continual_learner: ContinualLearningSystem<T>,
40
41    /// Multi-task coordinator
42    multitask_coordinator: MultiTaskCoordinator<T>,
43
44    /// Meta-optimization tracker
45    meta_tracker: MetaOptimizationTracker<T>,
46
47    /// Few-shot learning specialist
48    few_shot_learner: FewShotLearner<T>,
49}
50
51/// Meta-learning configuration
52#[derive(Debug, Clone)]
53pub struct MetaLearningConfig {
54    /// Meta-learning algorithm
55    pub algorithm: MetaLearningAlgorithm,
56
57    /// Number of inner loop steps
58    pub inner_steps: usize,
59
60    /// Number of outer loop steps
61    pub outer_steps: usize,
62
63    /// Meta-learning rate
64    pub meta_learning_rate: f64,
65
66    /// Inner learning rate
67    pub inner_learning_rate: f64,
68
69    /// Task batch size
70    pub task_batch_size: usize,
71
72    /// Support set size per task
73    pub support_set_size: usize,
74
75    /// Query set size per task
76    pub query_set_size: usize,
77
78    /// Enable second-order gradients
79    pub second_order: bool,
80
81    /// Gradient clipping threshold
82    pub gradient_clip: f64,
83
84    /// Adaptation strategies
85    pub adaptation_strategies: Vec<AdaptationStrategy>,
86
87    /// Transfer learning settings
88    pub transfer_settings: TransferLearningSettings,
89
90    /// Continual learning settings
91    pub continual_settings: ContinualLearningSettings,
92
93    /// Multi-task settings
94    pub multitask_settings: MultiTaskSettings,
95
96    /// Few-shot learning settings
97    pub few_shot_settings: FewShotSettings,
98
99    /// Enable meta-regularization
100    pub enable_meta_regularization: bool,
101
102    /// Meta-regularization strength
103    pub meta_regularization_strength: f64,
104
105    /// Task sampling strategy
106    pub task_sampling_strategy: TaskSamplingStrategy,
107}
108
109/// Meta-learning algorithms
110#[derive(Debug, Clone, Copy)]
111pub enum MetaLearningAlgorithm {
112    /// Model-Agnostic Meta-Learning
113    MAML,
114
115    /// First-Order MAML (FOMAML)
116    FOMAML,
117
118    /// Reptile algorithm
119    Reptile,
120
121    /// Meta-SGD
122    MetaSGD,
123
124    /// Learning to Learn by Gradient Descent
125    L2L,
126
127    /// Gradient-Based Meta-Learning
128    GBML,
129
130    /// Meta-Learning with Implicit Gradients
131    IMaml,
132
133    /// Prototypical Networks
134    ProtoNet,
135
136    /// Matching Networks
137    MatchingNet,
138
139    /// Relation Networks
140    RelationNet,
141
142    /// Memory-Augmented Neural Networks
143    MANN,
144
145    /// Meta-Learning with Warped Gradient Descent
146    WarpGrad,
147
148    /// Learned Gradient Descent
149    LearnedGD,
150}
151
152/// Adaptation strategies
153#[derive(Debug, Clone, Copy)]
154pub enum AdaptationStrategy {
155    /// Fine-tuning all parameters
156    FullFineTuning,
157
158    /// Fine-tuning only specific layers
159    LayerWiseFineTuning,
160
161    /// Parameter-efficient adaptation
162    ParameterEfficient,
163
164    /// Adaptation via learned learning rates
165    LearnedLearningRates,
166
167    /// Gradient-based adaptation
168    GradientBased,
169
170    /// Memory-based adaptation
171    MemoryBased,
172
173    /// Attention-based adaptation
174    AttentionBased,
175
176    /// Modular adaptation
177    ModularAdaptation,
178}
179
180/// Transfer learning settings
181#[derive(Debug, Clone)]
182pub struct TransferLearningSettings {
183    /// Enable domain adaptation
184    pub domain_adaptation: bool,
185
186    /// Source domain weights
187    pub source_domain_weights: Vec<f64>,
188
189    /// Transfer learning strategies
190    pub strategies: Vec<TransferStrategy>,
191
192    /// Domain similarity measures
193    pub similarity_measures: Vec<SimilarityMeasure>,
194
195    /// Enable progressive transfer
196    pub progressive_transfer: bool,
197}
198
199/// Transfer strategies
200#[derive(Debug, Clone, Copy)]
201pub enum TransferStrategy {
202    FeatureExtraction,
203    FineTuning,
204    DomainAdaptation,
205    MultiTask,
206    MetaTransfer,
207    Progressive,
208}
209
210/// Domain similarity measures
211#[derive(Debug, Clone, Copy)]
212pub enum SimilarityMeasure {
213    CosineDistance,
214    KLDivergence,
215    WassersteinDistance,
216    CentralMomentDiscrepancy,
217    MaximumMeanDiscrepancy,
218}
219
220/// Continual learning settings
221#[derive(Debug, Clone)]
222pub struct ContinualLearningSettings {
223    /// Catastrophic forgetting mitigation
224    pub anti_forgetting_strategies: Vec<AntiForgettingStrategy>,
225
226    /// Memory replay settings
227    pub memory_replay: MemoryReplaySettings,
228
229    /// Task identification method
230    pub task_identification: TaskIdentificationMethod,
231
232    /// Plasticity-stability trade-off
233    pub plasticity_stability_balance: f64,
234}
235
236/// Anti-forgetting strategies
237#[derive(Debug, Clone, Copy)]
238pub enum AntiForgettingStrategy {
239    ElasticWeightConsolidation,
240    SynapticIntelligence,
241    MemoryReplay,
242    ProgressiveNetworks,
243    PackNet,
244    Piggyback,
245    HAT,
246}
247
248/// Memory replay settings
249#[derive(Debug, Clone)]
250pub struct MemoryReplaySettings {
251    /// Memory buffer size
252    pub buffer_size: usize,
253
254    /// Replay strategy
255    pub replay_strategy: ReplayStrategy,
256
257    /// Replay frequency
258    pub replay_frequency: usize,
259
260    /// Memory selection criteria
261    pub selection_criteria: MemorySelectionCriteria,
262}
263
264/// Replay strategies
265#[derive(Debug, Clone, Copy)]
266pub enum ReplayStrategy {
267    Random,
268    GradientBased,
269    UncertaintyBased,
270    DiversityBased,
271    Temporal,
272}
273
274/// Memory selection criteria
275#[derive(Debug, Clone, Copy)]
276pub enum MemorySelectionCriteria {
277    Random,
278    GradientMagnitude,
279    LossBased,
280    Uncertainty,
281    Diversity,
282    TemporalProximity,
283}
284
285/// Task identification methods
286#[derive(Debug, Clone, Copy)]
287pub enum TaskIdentificationMethod {
288    Oracle,
289    Learned,
290    Clustering,
291    EntropyBased,
292    GradientBased,
293}
294
295/// Multi-task settings
296#[derive(Debug, Clone)]
297pub struct MultiTaskSettings {
298    /// Task weighting strategy
299    pub task_weighting: TaskWeightingStrategy,
300
301    /// Gradient balancing method
302    pub gradient_balancing: GradientBalancingMethod,
303
304    /// Task interference mitigation
305    pub interference_mitigation: InterferenceMitigationStrategy,
306
307    /// Shared representation learning
308    pub shared_representation: SharedRepresentationStrategy,
309}
310
311/// Task weighting strategies
312#[derive(Debug, Clone, Copy)]
313pub enum TaskWeightingStrategy {
314    Uniform,
315    UncertaintyBased,
316    GradientMagnitude,
317    PerformanceBased,
318    Adaptive,
319    Learned,
320}
321
322/// Gradient balancing methods
323#[derive(Debug, Clone, Copy)]
324pub enum GradientBalancingMethod {
325    Uniform,
326    GradNorm,
327    PCGrad,
328    CAGrad,
329    NashMTL,
330}
331
332/// Interference mitigation strategies
333#[derive(Debug, Clone, Copy)]
334pub enum InterferenceMitigationStrategy {
335    OrthogonalGradients,
336    TaskSpecificLayers,
337    AttentionMechanisms,
338    MetaGradients,
339}
340
341/// Shared representation strategies
342#[derive(Debug, Clone, Copy)]
343pub enum SharedRepresentationStrategy {
344    HardSharing,
345    SoftSharing,
346    HierarchicalSharing,
347    AttentionBased,
348    Modular,
349}
350
351/// Few-shot learning settings
352#[derive(Debug, Clone)]
353pub struct FewShotSettings {
354    /// Number of shots (examples per class)
355    pub num_shots: usize,
356
357    /// Number of ways (classes)
358    pub num_ways: usize,
359
360    /// Few-shot algorithm
361    pub algorithm: FewShotAlgorithm,
362
363    /// Metric learning settings
364    pub metric_learning: MetricLearningSettings,
365
366    /// Augmentation strategies
367    pub augmentation_strategies: Vec<AugmentationStrategy>,
368}
369
370/// Few-shot learning algorithms
371#[derive(Debug, Clone, Copy)]
372pub enum FewShotAlgorithm {
373    Prototypical,
374    Matching,
375    Relation,
376    MAML,
377    Reptile,
378    MetaOptNet,
379}
380
381/// Metric learning settings
382#[derive(Debug, Clone)]
383pub struct MetricLearningSettings {
384    /// Distance metric
385    pub distance_metric: DistanceMetric,
386
387    /// Embedding dimension
388    pub embedding_dim: usize,
389
390    /// Learned metric parameters
391    pub learned_metric: bool,
392}
393
394/// Distance metrics
395#[derive(Debug, Clone, Copy)]
396pub enum DistanceMetric {
397    Euclidean,
398    Cosine,
399    Mahalanobis,
400    Learned,
401}
402
403/// Augmentation strategies
404#[derive(Debug, Clone, Copy)]
405pub enum AugmentationStrategy {
406    Geometric,
407    Color,
408    Noise,
409    Mixup,
410    CutMix,
411    Learned,
412}
413
414/// Task sampling strategies
415#[derive(Debug, Clone, Copy)]
416pub enum TaskSamplingStrategy {
417    Uniform,
418    Curriculum,
419    DifficultyBased,
420    DiversityBased,
421    ActiveLearning,
422    Adversarial,
423}
424
425/// Meta-learner trait
426pub trait MetaLearner<T: Float + Debug + Send + Sync + 'static>: Send + Sync {
427    /// Perform meta-training step
428    fn meta_train_step(
429        &mut self,
430        task_batch: &[MetaTask<T>],
431        meta_parameters: &mut HashMap<String, Array1<T>>,
432    ) -> Result<MetaTrainingResult<T>>;
433
434    /// Adapt to new task
435    fn adapt_to_task(
436        &mut self,
437        task: &MetaTask<T>,
438        meta_parameters: &HashMap<String, Array1<T>>,
439        adaptation_steps: usize,
440    ) -> Result<TaskAdaptationResult<T>>;
441
442    /// Evaluate on query set
443    fn evaluate_query_set(
444        &self,
445        task: &MetaTask<T>,
446        adapted_parameters: &HashMap<String, Array1<T>>,
447    ) -> Result<QueryEvaluationResult<T>>;
448
449    /// Get meta-learner type
450    fn get_algorithm(&self) -> MetaLearningAlgorithm;
451}
452
453/// Meta-task representation
454#[derive(Debug, Clone)]
455pub struct MetaTask<T: Float + Debug + Send + Sync + 'static> {
456    /// Task identifier
457    pub id: String,
458
459    /// Support set (training data for adaptation)
460    pub support_set: TaskDataset<T>,
461
462    /// Query set (test data for evaluation)
463    pub query_set: TaskDataset<T>,
464
465    /// Task metadata
466    pub metadata: TaskMetadata,
467
468    /// Task difficulty
469    pub difficulty: T,
470
471    /// Task domain
472    pub domain: String,
473
474    /// Task type
475    pub task_type: TaskType,
476}
477
478/// Task dataset
479#[derive(Debug, Clone)]
480pub struct TaskDataset<T: Float + Debug + Send + Sync + 'static> {
481    /// Input features
482    pub features: Vec<Array1<T>>,
483
484    /// Target values
485    pub targets: Vec<T>,
486
487    /// Sample weights
488    pub weights: Vec<T>,
489
490    /// Dataset metadata
491    pub metadata: DatasetMetadata,
492}
493
494/// Task metadata
495#[derive(Debug, Clone)]
496pub struct TaskMetadata {
497    /// Task name
498    pub name: String,
499
500    /// Task description
501    pub description: String,
502
503    /// Task properties
504    pub properties: HashMap<String, String>,
505
506    /// Creation timestamp
507    pub created_at: Instant,
508
509    /// Task source
510    pub source: String,
511}
512
513/// Dataset metadata
514#[derive(Debug, Clone)]
515pub struct DatasetMetadata {
516    /// Number of samples
517    pub num_samples: usize,
518
519    /// Feature dimension
520    pub feature_dim: usize,
521
522    /// Data distribution type
523    pub distribution_type: String,
524
525    /// Noise level
526    pub noise_level: f64,
527}
528
529/// Task types
530#[derive(Debug, Clone, Copy)]
531pub enum TaskType {
532    Regression,
533    Classification,
534    Optimization,
535    ReinforcementLearning,
536    StructuredPrediction,
537    Generative,
538}
539
540/// Meta-training result
541#[derive(Debug, Clone)]
542pub struct MetaTrainingResult<T: Float + Debug + Send + Sync + 'static> {
543    /// Meta-loss
544    pub meta_loss: T,
545
546    /// Per-task losses
547    pub task_losses: Vec<T>,
548
549    /// Meta-gradients
550    pub meta_gradients: HashMap<String, Array1<T>>,
551
552    /// Training metrics
553    pub metrics: MetaTrainingMetrics<T>,
554
555    /// Adaptation statistics
556    pub adaptation_stats: AdaptationStatistics<T>,
557}
558
559/// Meta-training metrics
560#[derive(Debug, Clone)]
561pub struct MetaTrainingMetrics<T: Float + Debug + Send + Sync + 'static> {
562    /// Average adaptation speed
563    pub avg_adaptation_speed: T,
564
565    /// Generalization performance
566    pub generalization_performance: T,
567
568    /// Task diversity handled
569    pub task_diversity: T,
570
571    /// Gradient alignment score
572    pub gradient_alignment: T,
573}
574
575/// Adaptation statistics
576#[derive(Debug, Clone)]
577pub struct AdaptationStatistics<T: Float + Debug + Send + Sync + 'static> {
578    /// Convergence steps per task
579    pub convergence_steps: Vec<usize>,
580
581    /// Final losses per task
582    pub final_losses: Vec<T>,
583
584    /// Adaptation efficiency
585    pub adaptation_efficiency: T,
586
587    /// Stability metrics
588    pub stability_metrics: StabilityMetrics<T>,
589}
590
591/// Stability metrics
592#[derive(Debug, Clone)]
593pub struct StabilityMetrics<T: Float + Debug + Send + Sync + 'static> {
594    /// Parameter stability
595    pub parameter_stability: T,
596
597    /// Performance stability
598    pub performance_stability: T,
599
600    /// Gradient stability
601    pub gradient_stability: T,
602
603    /// Catastrophic forgetting measure
604    pub forgetting_measure: T,
605}
606
607/// Validation result for meta-learning
608#[derive(Debug, Clone)]
609pub struct ValidationResult {
610    /// Whether validation passed
611    pub is_valid: bool,
612    /// Validation loss
613    pub validation_loss: f64,
614    /// Additional validation metrics
615    pub metrics: HashMap<String, f64>,
616}
617
618/// Training result for meta-learning
619#[derive(Debug, Clone)]
620pub struct TrainingResult {
621    /// Training loss
622    pub training_loss: f64,
623    /// Training metrics
624    pub metrics: HashMap<String, f64>,
625    /// Number of training steps
626    pub steps: usize,
627}
628
629/// Meta-parameters for meta-learning
630#[derive(Debug, Clone)]
631pub struct MetaParameters<T: Float + Debug + Send + Sync + 'static> {
632    /// Parameter values
633    pub parameters: HashMap<String, Array1<T>>,
634    /// Parameter metadata
635    pub metadata: HashMap<String, String>,
636}
637
638impl<T: Float + Debug + Send + Sync + 'static> Default for MetaParameters<T> {
639    fn default() -> Self {
640        Self {
641            parameters: HashMap::new(),
642            metadata: HashMap::new(),
643        }
644    }
645}
646
647impl<T: Float + Debug + Send + Sync + 'static> Default for MetaTask<T> {
648    fn default() -> Self {
649        Self {
650            id: "default".to_string(),
651            support_set: TaskDataset::default(),
652            query_set: TaskDataset::default(),
653            metadata: TaskMetadata::default(),
654            difficulty: scirs2_core::numeric::NumCast::from(1.0).unwrap_or_else(|| T::zero()),
655            domain: "default".to_string(),
656            task_type: TaskType::Classification,
657        }
658    }
659}
660
661impl<T: Float + Debug + Send + Sync + 'static> Default for TaskDataset<T> {
662    fn default() -> Self {
663        Self {
664            features: Vec::new(),
665            targets: Vec::new(),
666            weights: Vec::new(),
667            metadata: DatasetMetadata::default(),
668        }
669    }
670}
671
672impl Default for TaskMetadata {
673    fn default() -> Self {
674        Self {
675            name: "default".to_string(),
676            description: "default task".to_string(),
677            properties: HashMap::new(),
678            created_at: Instant::now(),
679            source: "default".to_string(),
680        }
681    }
682}
683
684impl Default for DatasetMetadata {
685    fn default() -> Self {
686        Self {
687            num_samples: 0,
688            feature_dim: 0,
689            distribution_type: "unknown".to_string(),
690            noise_level: 0.0,
691        }
692    }
693}
694
695/// Task adaptation result
696#[derive(Debug, Clone)]
697pub struct TaskAdaptationResult<T: Float + Debug + Send + Sync + 'static> {
698    /// Adapted parameters
699    pub adapted_parameters: HashMap<String, Array1<T>>,
700
701    /// Adaptation trajectory
702    pub adaptation_trajectory: Vec<AdaptationStep<T>>,
703
704    /// Final adaptation loss
705    pub final_loss: T,
706
707    /// Adaptation metrics
708    pub metrics: TaskAdaptationMetrics<T>,
709}
710
711/// Adaptation step
712#[derive(Debug, Clone)]
713pub struct AdaptationStep<T: Float + Debug + Send + Sync + 'static> {
714    /// Step number
715    pub step: usize,
716
717    /// Loss at this step
718    pub loss: T,
719
720    /// Gradient norm
721    pub gradient_norm: T,
722
723    /// Parameter change norm
724    pub parameter_change_norm: T,
725
726    /// Learning rate used
727    pub learning_rate: T,
728}
729
730/// Task adaptation metrics
731#[derive(Debug, Clone)]
732pub struct TaskAdaptationMetrics<T: Float + Debug + Send + Sync + 'static> {
733    /// Convergence speed
734    pub convergence_speed: T,
735
736    /// Final performance
737    pub final_performance: T,
738
739    /// Adaptation efficiency
740    pub efficiency: T,
741
742    /// Robustness to noise
743    pub robustness: T,
744}
745
746/// Query evaluation result
747#[derive(Debug, Clone)]
748pub struct QueryEvaluationResult<T: Float + Debug + Send + Sync + 'static> {
749    /// Query set loss
750    pub query_loss: T,
751
752    /// Prediction accuracy
753    pub accuracy: T,
754
755    /// Per-sample predictions
756    pub predictions: Vec<T>,
757
758    /// Confidence scores
759    pub confidence_scores: Vec<T>,
760
761    /// Evaluation metrics
762    pub metrics: QueryEvaluationMetrics<T>,
763}
764
765/// Query evaluation metrics
766#[derive(Debug, Clone)]
767pub struct QueryEvaluationMetrics<T: Float + Debug + Send + Sync + 'static> {
768    /// Mean squared error (for regression)
769    pub mse: Option<T>,
770
771    /// Classification accuracy (for classification)
772    pub classification_accuracy: Option<T>,
773
774    /// AUC score
775    pub auc: Option<T>,
776
777    /// Uncertainty estimation quality
778    pub uncertainty_quality: T,
779}
780
781/// MAML implementation
782pub struct MAMLLearner<T: Float + Debug + Send + Sync + 'static, D: Dimension> {
783    /// MAML configuration
784    config: MAMLConfig<T>,
785
786    /// Inner loop optimizer
787    inner_optimizer: Box<dyn Optimizer<T, D> + Send + Sync>,
788
789    /// Outer loop optimizer
790    outer_optimizer: Box<dyn Optimizer<T, D> + Send + Sync>,
791
792    /// Gradient computation engine
793    gradient_engine: GradientComputationEngine<T>,
794
795    /// Second-order gradient computation
796    second_order_engine: Option<SecondOrderGradientEngine<T>>,
797
798    /// Task adaptation history
799    adaptation_history: VecDeque<TaskAdaptationResult<T>>,
800}
801
802/// MAML configuration
803#[derive(Debug, Clone)]
804pub struct MAMLConfig<T: Float + Debug + Send + Sync + 'static> {
805    /// Enable second-order gradients
806    pub second_order: bool,
807
808    /// Inner learning rate
809    pub inner_lr: T,
810
811    /// Outer learning rate
812    pub outer_lr: T,
813
814    /// Number of inner steps
815    pub inner_steps: usize,
816
817    /// Allow unused parameters
818    pub allow_unused: bool,
819
820    /// Gradient clipping
821    pub gradient_clip: Option<f64>,
822}
823
824/// Gradient computation engine
825#[derive(Debug)]
826pub struct GradientComputationEngine<T: Float + Debug + Send + Sync + 'static> {
827    /// Gradient computation method
828    method: GradientComputationMethod,
829
830    /// Computational graph
831    computation_graph: ComputationGraph<T>,
832
833    /// Gradient cache
834    gradient_cache: HashMap<String, Array1<T>>,
835
836    /// Automatic differentiation engine
837    autodiff_engine: AutoDiffEngine<T>,
838}
839
840impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> GradientComputationEngine<T> {
841    /// Create a new gradient computation engine
842    pub fn new() -> Result<Self> {
843        Ok(Self {
844            method: GradientComputationMethod::AutomaticDifferentiation,
845            computation_graph: ComputationGraph::new()?,
846            gradient_cache: HashMap::new(),
847            autodiff_engine: AutoDiffEngine::new()?,
848        })
849    }
850}
851
852/// Gradient computation methods
853#[derive(Debug, Clone, Copy)]
854pub enum GradientComputationMethod {
855    FiniteDifference,
856    AutomaticDifferentiation,
857    SymbolicDifferentiation,
858    Hybrid,
859}
860
861/// Computation graph for gradient computation
862#[derive(Debug)]
863pub struct ComputationGraph<T: Float + Debug + Send + Sync + 'static> {
864    /// Graph nodes
865    nodes: Vec<ComputationNode<T>>,
866
867    /// Node dependencies
868    dependencies: HashMap<usize, Vec<usize>>,
869
870    /// Topological order
871    topological_order: Vec<usize>,
872
873    /// Input nodes
874    input_nodes: Vec<usize>,
875
876    /// Output nodes
877    output_nodes: Vec<usize>,
878}
879
880impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> ComputationGraph<T> {
881    /// Create a new computation graph
882    pub fn new() -> Result<Self> {
883        Ok(Self {
884            nodes: Vec::new(),
885            dependencies: HashMap::new(),
886            topological_order: Vec::new(),
887            input_nodes: Vec::new(),
888            output_nodes: Vec::new(),
889        })
890    }
891}
892
893/// Computation graph node
894#[derive(Debug, Clone)]
895pub struct ComputationNode<T: Float + Debug + Send + Sync + 'static> {
896    /// Node ID
897    pub id: usize,
898
899    /// Operation type
900    pub operation: ComputationOperation<T>,
901
902    /// Input connections
903    pub inputs: Vec<usize>,
904
905    /// Output value
906    pub output: Option<Array1<T>>,
907
908    /// Gradient w.r.t. this node
909    pub gradient: Option<Array1<T>>,
910}
911
912/// Computation operations
913#[derive(Debug, Clone)]
914pub enum ComputationOperation<T: Float + Debug + Send + Sync + 'static> {
915    Add,
916    Multiply,
917    MatMul(Array2<T>),
918    Activation(ActivationFunction),
919    Loss(LossFunction),
920    Parameter(Array1<T>),
921    Input,
922}
923
924/// Activation functions
925#[derive(Debug, Clone, Copy)]
926pub enum ActivationFunction {
927    ReLU,
928    Sigmoid,
929    Tanh,
930    Softmax,
931    GELU,
932}
933
934/// Loss functions
935#[derive(Debug, Clone, Copy)]
936pub enum LossFunction {
937    MeanSquaredError,
938    CrossEntropy,
939    Hinge,
940    Huber,
941}
942
943/// Automatic differentiation engine
944#[derive(Debug)]
945pub struct AutoDiffEngine<T: Float + Debug + Send + Sync + 'static> {
946    /// Forward mode AD
947    forward_mode: ForwardModeAD<T>,
948
949    /// Reverse mode AD
950    reverse_mode: ReverseModeAD<T>,
951
952    /// Mixed mode AD
953    mixed_mode: MixedModeAD<T>,
954}
955
956impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> AutoDiffEngine<T> {
957    /// Create a new autodiff engine
958    pub fn new() -> Result<Self> {
959        Ok(Self {
960            forward_mode: ForwardModeAD::new()?,
961            reverse_mode: ReverseModeAD::new()?,
962            mixed_mode: MixedModeAD::new()?,
963        })
964    }
965}
966
967/// Forward mode automatic differentiation
968#[derive(Debug)]
969pub struct ForwardModeAD<T: Float + Debug + Send + Sync + 'static> {
970    /// Dual numbers
971    dual_numbers: Vec<DualNumber<T>>,
972
973    /// Jacobian matrix
974    jacobian: Array2<T>,
975}
976
977impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> ForwardModeAD<T> {
978    /// Create a new forward mode AD engine
979    pub fn new() -> Result<Self> {
980        Ok(Self {
981            dual_numbers: Vec::new(),
982            jacobian: Array2::zeros((1, 1)),
983        })
984    }
985}
986
987/// Dual number for forward mode AD
988#[derive(Debug, Clone)]
989pub struct DualNumber<T: Float + Debug + Send + Sync + 'static> {
990    /// Real part
991    pub real: T,
992
993    /// Infinitesimal part
994    pub dual: T,
995}
996
997/// Reverse mode automatic differentiation
998#[derive(Debug)]
999pub struct ReverseModeAD<T: Float + Debug + Send + Sync + 'static> {
1000    /// Computational tape
1001    tape: Vec<TapeEntry<T>>,
1002
1003    /// Adjoint values
1004    adjoints: HashMap<usize, T>,
1005
1006    /// Gradient accumulator
1007    gradient_accumulator: Array1<T>,
1008}
1009
1010impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> ReverseModeAD<T> {
1011    /// Create a new reverse mode AD engine
1012    pub fn new() -> Result<Self> {
1013        Ok(Self {
1014            tape: Vec::new(),
1015            adjoints: HashMap::new(),
1016            gradient_accumulator: Array1::zeros(1),
1017        })
1018    }
1019}
1020
1021/// Tape entry for reverse mode AD
1022#[derive(Debug, Clone)]
1023pub struct TapeEntry<T: Float + Debug + Send + Sync + 'static> {
1024    /// Operation ID
1025    pub op_id: usize,
1026
1027    /// Input IDs
1028    pub inputs: Vec<usize>,
1029
1030    /// Output ID
1031    pub output: usize,
1032
1033    /// Local gradients
1034    pub local_gradients: Vec<T>,
1035}
1036
1037/// Mixed mode automatic differentiation
1038#[derive(Debug)]
1039pub struct MixedModeAD<T: Float + Debug + Send + Sync + 'static> {
1040    /// Forward mode component
1041    forward_component: ForwardModeAD<T>,
1042
1043    /// Reverse mode component
1044    reverse_component: ReverseModeAD<T>,
1045
1046    /// Mode selection strategy
1047    mode_selection: ModeSelectionStrategy,
1048}
1049
1050impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> MixedModeAD<T> {
1051    /// Create a new mixed mode AD engine
1052    pub fn new() -> Result<Self> {
1053        Ok(Self {
1054            forward_component: ForwardModeAD::new()?,
1055            reverse_component: ReverseModeAD::new()?,
1056            mode_selection: ModeSelectionStrategy::Adaptive,
1057        })
1058    }
1059}
1060
1061/// Mode selection strategies
1062#[derive(Debug, Clone, Copy)]
1063pub enum ModeSelectionStrategy {
1064    ForwardOnly,
1065    ReverseOnly,
1066    Adaptive,
1067    Hybrid,
1068}
1069
1070/// Second-order gradient engine
1071#[derive(Debug)]
1072pub struct SecondOrderGradientEngine<T: Float + Debug + Send + Sync + 'static> {
1073    /// Hessian computation method
1074    hessian_method: HessianComputationMethod,
1075
1076    /// Hessian matrix
1077    hessian: Array2<T>,
1078
1079    /// Hessian-vector product engine
1080    hvp_engine: HessianVectorProductEngine<T>,
1081
1082    /// Curvature estimation
1083    curvature_estimator: CurvatureEstimator<T>,
1084}
1085
1086impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> SecondOrderGradientEngine<T> {
1087    /// Create a new second-order gradient engine
1088    pub fn new() -> Result<Self> {
1089        Ok(Self {
1090            hessian_method: HessianComputationMethod::BFGS,
1091            hessian: Array2::zeros((1, 1)), // Placeholder size
1092            hvp_engine: HessianVectorProductEngine::new()?,
1093            curvature_estimator: CurvatureEstimator::new()?,
1094        })
1095    }
1096}
1097
1098/// Hessian computation methods
1099#[derive(Debug, Clone, Copy)]
1100pub enum HessianComputationMethod {
1101    Exact,
1102    FiniteDifference,
1103    GaussNewton,
1104    BFGS,
1105    LBfgs,
1106}
1107
1108/// Hessian-vector product engine
1109#[derive(Debug)]
1110pub struct HessianVectorProductEngine<T: Float + Debug + Send + Sync + 'static> {
1111    /// HVP computation method
1112    method: HVPComputationMethod,
1113
1114    /// Vector cache
1115    vector_cache: Vec<Array1<T>>,
1116
1117    /// Product cache
1118    product_cache: Vec<Array1<T>>,
1119}
1120
1121impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> HessianVectorProductEngine<T> {
1122    /// Create a new HVP engine
1123    pub fn new() -> Result<Self> {
1124        Ok(Self {
1125            method: HVPComputationMethod::FiniteDifference,
1126            vector_cache: Vec::new(),
1127            product_cache: Vec::new(),
1128        })
1129    }
1130}
1131
1132/// HVP computation methods
1133#[derive(Debug, Clone, Copy)]
1134pub enum HVPComputationMethod {
1135    FiniteDifference,
1136    AutomaticDifferentiation,
1137    ConjugateGradient,
1138}
1139
1140/// Curvature estimator
1141#[derive(Debug)]
1142pub struct CurvatureEstimator<T: Float + Debug + Send + Sync + 'static> {
1143    /// Curvature estimation method
1144    method: CurvatureEstimationMethod,
1145
1146    /// Curvature history
1147    curvature_history: VecDeque<T>,
1148
1149    /// Local curvature estimates
1150    local_curvature: HashMap<String, T>,
1151}
1152
1153impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> CurvatureEstimator<T> {
1154    /// Create a new curvature estimator
1155    pub fn new() -> Result<Self> {
1156        Ok(Self {
1157            method: CurvatureEstimationMethod::DiagonalHessian,
1158            curvature_history: VecDeque::new(),
1159            local_curvature: HashMap::new(),
1160        })
1161    }
1162}
1163
1164/// Curvature estimation methods
1165#[derive(Debug, Clone, Copy)]
1166pub enum CurvatureEstimationMethod {
1167    DiagonalHessian,
1168    BlockDiagonalHessian,
1169    KroneckerFactored,
1170    NaturalGradient,
1171}
1172
1173impl<
1174        T: Float
1175            + Default
1176            + Clone
1177            + Send
1178            + Sync
1179            + std::iter::Sum
1180            + for<'a> std::iter::Sum<&'a T>
1181            + scirs2_core::ndarray::ScalarOperand
1182            + std::fmt::Debug,
1183    > MetaLearningFramework<T>
1184{
1185    /// Create a new meta-learning framework
1186    pub fn new(config: MetaLearningConfig) -> Result<Self> {
1187        let meta_learner = Self::create_meta_learner(&config)?;
1188        let task_manager = TaskDistributionManager::new(&config)?;
1189        let meta_validator = MetaValidator::new(&config)?;
1190        let adaptation_engine = AdaptationEngine::new(&config)?;
1191        let transfer_manager = TransferLearningManager::new(&config.transfer_settings)?;
1192        let continual_learner = ContinualLearningSystem::new(&config.continual_settings)?;
1193        let multitask_coordinator = MultiTaskCoordinator::new(&config.multitask_settings)?;
1194        let meta_tracker = MetaOptimizationTracker::new();
1195        let few_shot_learner = FewShotLearner::new(&config.few_shot_settings)?;
1196
1197        Ok(Self {
1198            config,
1199            meta_learner,
1200            task_manager,
1201            meta_validator,
1202            adaptation_engine,
1203            transfer_manager,
1204            continual_learner,
1205            multitask_coordinator,
1206            meta_tracker,
1207            few_shot_learner,
1208        })
1209    }
1210
1211    fn create_meta_learner(
1212        config: &MetaLearningConfig,
1213    ) -> Result<Box<dyn MetaLearner<T> + Send + Sync>> {
1214        match config.algorithm {
1215            MetaLearningAlgorithm::MAML => {
1216                let maml_config = MAMLConfig {
1217                    second_order: config.second_order,
1218                    inner_lr: scirs2_core::numeric::NumCast::from(config.inner_learning_rate)
1219                        .unwrap_or_else(|| T::zero()),
1220                    outer_lr: scirs2_core::numeric::NumCast::from(config.meta_learning_rate)
1221                        .unwrap_or_else(|| T::zero()),
1222                    inner_steps: config.inner_steps,
1223                    allow_unused: true,
1224                    gradient_clip: Some(config.gradient_clip),
1225                };
1226                Ok(Box::new(MAMLLearner::<T, scirs2_core::ndarray::Ix1>::new(
1227                    maml_config,
1228                )?))
1229            }
1230            _ => {
1231                // For other algorithms, create appropriate learners
1232                // Simplified for now
1233                let maml_config = MAMLConfig {
1234                    second_order: false,
1235                    inner_lr: scirs2_core::numeric::NumCast::from(config.inner_learning_rate)
1236                        .unwrap_or_else(|| T::zero()),
1237                    outer_lr: scirs2_core::numeric::NumCast::from(config.meta_learning_rate)
1238                        .unwrap_or_else(|| T::zero()),
1239                    inner_steps: config.inner_steps,
1240                    allow_unused: true,
1241                    gradient_clip: Some(config.gradient_clip),
1242                };
1243                Ok(Box::new(MAMLLearner::<T, scirs2_core::ndarray::Ix1>::new(
1244                    maml_config,
1245                )?))
1246            }
1247        }
1248    }
1249
1250    /// Perform meta-training
1251    pub async fn meta_train(
1252        &mut self,
1253        tasks: Vec<MetaTask<T>>,
1254        num_epochs: usize,
1255    ) -> Result<MetaTrainingResults<T>> {
1256        let meta_params_raw = self.initialize_meta_parameters()?;
1257        let mut meta_parameters = MetaParameters {
1258            parameters: meta_params_raw,
1259            metadata: HashMap::new(),
1260        };
1261        let mut training_history = Vec::new();
1262        let mut best_performance = T::neg_infinity();
1263
1264        for epoch in 0..num_epochs {
1265            // Sample task batch
1266            let task_batch = self
1267                .task_manager
1268                .sample_task_batch(&tasks, self.config.task_batch_size)?;
1269
1270            // Perform meta-training step
1271            let training_result = self
1272                .meta_learner
1273                .meta_train_step(&task_batch, &mut meta_parameters.parameters)?;
1274
1275            // Update meta-parameters
1276            self.update_meta_parameters(
1277                &mut meta_parameters.parameters,
1278                &training_result.meta_gradients,
1279            )?;
1280
1281            // Validate on meta-validation set
1282            let validation_result = self.meta_validator.validate(&meta_parameters, &tasks)?;
1283
1284            // Track progress
1285            let training_result_simple = TrainingResult {
1286                training_loss: training_result.meta_loss.to_f64().unwrap_or(0.0),
1287                metrics: HashMap::new(),
1288                steps: epoch,
1289            };
1290            self.meta_tracker
1291                .record_epoch(epoch, &training_result_simple, &validation_result)?;
1292
1293            // Check for improvement (lower validation loss is better)
1294            let current_performance =
1295                T::from(-validation_result.validation_loss).unwrap_or_default();
1296            if current_performance > best_performance {
1297                best_performance = current_performance;
1298                self.meta_tracker.update_best_parameters(&meta_parameters)?;
1299            }
1300
1301            // Convert ValidationResult to MetaValidationResult
1302            let meta_validation_result = MetaValidationResult {
1303                performance: current_performance,
1304                adaptation_speed: T::from(0.0).unwrap_or_default(),
1305                generalization_gap: T::from(validation_result.validation_loss).unwrap_or_default(),
1306                task_specific_metrics: HashMap::new(),
1307            };
1308
1309            training_history.push(MetaTrainingEpoch {
1310                epoch,
1311                training_result,
1312                validation_result: meta_validation_result,
1313                meta_parameters: meta_parameters.parameters.clone(),
1314            });
1315
1316            // Early stopping check
1317            if self.should_early_stop(&training_history) {
1318                break;
1319            }
1320        }
1321
1322        let total_epochs = training_history.len();
1323        Ok(MetaTrainingResults {
1324            final_parameters: meta_parameters.parameters,
1325            training_history,
1326            best_performance,
1327            total_epochs,
1328        })
1329    }
1330
1331    /// Adapt to new task
1332    pub fn adapt_to_task(
1333        &mut self,
1334        task: &MetaTask<T>,
1335        meta_parameters: &HashMap<String, Array1<T>>,
1336    ) -> Result<TaskAdaptationResult<T>> {
1337        self.adaptation_engine.adapt(
1338            task,
1339            meta_parameters,
1340            &mut *self.meta_learner,
1341            self.config.inner_steps,
1342        )
1343    }
1344
1345    /// Perform few-shot learning
1346    pub fn few_shot_learning(
1347        &mut self,
1348        support_set: &TaskDataset<T>,
1349        query_set: &TaskDataset<T>,
1350        meta_parameters: &HashMap<String, Array1<T>>,
1351    ) -> Result<FewShotResult<T>> {
1352        self.few_shot_learner
1353            .learn(support_set, query_set, meta_parameters)
1354    }
1355
1356    /// Transfer learning to new domain
1357    pub fn transfer_to_domain(
1358        &mut self,
1359        source_tasks: &[MetaTask<T>],
1360        target_tasks: &[MetaTask<T>],
1361        meta_parameters: &HashMap<String, Array1<T>>,
1362    ) -> Result<TransferLearningResult<T>> {
1363        self.transfer_manager
1364            .transfer(source_tasks, target_tasks, meta_parameters)
1365    }
1366
1367    /// Continual learning across task sequence
1368    pub fn continual_learning(
1369        &mut self,
1370        task_sequence: &[MetaTask<T>],
1371        meta_parameters: &mut HashMap<String, Array1<T>>,
1372    ) -> Result<ContinualLearningResult<T>> {
1373        self.continual_learner
1374            .learn_sequence(task_sequence, meta_parameters)
1375    }
1376
1377    /// Multi-task learning
1378    pub fn multi_task_learning(
1379        &mut self,
1380        tasks: &[MetaTask<T>],
1381        meta_parameters: &mut HashMap<String, Array1<T>>,
1382    ) -> Result<MultiTaskResult<T>> {
1383        self.multitask_coordinator
1384            .learn_simultaneously(tasks, meta_parameters)
1385    }
1386
1387    fn initialize_meta_parameters(&self) -> Result<HashMap<String, Array1<T>>> {
1388        // Initialize meta-parameters with proper initialization scheme
1389        let mut parameters = HashMap::new();
1390
1391        // Initialize optimizer parameters (simplified)
1392        parameters.insert(
1393            "lstm_weights".to_string(),
1394            Array1::zeros(256 * 4), // LSTM weights
1395        );
1396        parameters.insert(
1397            "output_weights".to_string(),
1398            Array1::zeros(256), // Output layer weights
1399        );
1400
1401        Ok(parameters)
1402    }
1403
1404    fn update_meta_parameters(
1405        &self,
1406        meta_parameters: &mut HashMap<String, Array1<T>>,
1407        meta_gradients: &HashMap<String, Array1<T>>,
1408    ) -> Result<()> {
1409        let meta_lr = scirs2_core::numeric::NumCast::from(self.config.meta_learning_rate)
1410            .unwrap_or_else(|| T::zero());
1411
1412        for (name, gradient) in meta_gradients {
1413            if let Some(parameter) = meta_parameters.get_mut(name) {
1414                // Gradient descent update
1415                for i in 0..parameter.len() {
1416                    parameter[i] = parameter[i] - meta_lr * gradient[i];
1417                }
1418            }
1419        }
1420
1421        Ok(())
1422    }
1423
1424    fn should_early_stop(&self, history: &[MetaTrainingEpoch<T>]) -> bool {
1425        if history.len() < 10 {
1426            return false;
1427        }
1428
1429        // Check if validation performance has plateaued
1430        let recent_performances: Vec<_> = history
1431            .iter()
1432            .rev()
1433            .take(5)
1434            .map(|epoch| epoch.validation_result.performance)
1435            .collect();
1436
1437        let max_recent = recent_performances
1438            .iter()
1439            .fold(T::neg_infinity(), |a, &b| a.max(b));
1440        let min_recent = recent_performances
1441            .iter()
1442            .fold(T::infinity(), |a, &b| a.min(b));
1443
1444        let performance_range = max_recent - min_recent;
1445        let threshold = scirs2_core::numeric::NumCast::from(1e-4).unwrap_or_else(|| T::zero());
1446
1447        performance_range < threshold
1448    }
1449
1450    /// Get meta-learning statistics
1451    pub fn get_meta_learning_statistics(&self) -> MetaLearningStatistics<T> {
1452        MetaLearningStatistics {
1453            algorithm: self.config.algorithm,
1454            total_tasks_seen: self.meta_tracker.total_tasks_seen(),
1455            adaptation_efficiency: self.meta_tracker.adaptation_efficiency(),
1456            transfer_success_rate: self.transfer_manager.success_rate(),
1457            forgetting_measure: self.continual_learner.forgetting_measure(),
1458            multitask_interference: self.multitask_coordinator.interference_measure(),
1459            few_shot_performance: self.few_shot_learner.average_performance(),
1460        }
1461    }
1462}
1463
1464/// Meta-training results
1465#[derive(Debug, Clone)]
1466pub struct MetaTrainingResults<T: Float + Debug + Send + Sync + 'static> {
1467    pub final_parameters: HashMap<String, Array1<T>>,
1468    pub training_history: Vec<MetaTrainingEpoch<T>>,
1469    pub best_performance: T,
1470    pub total_epochs: usize,
1471}
1472
1473/// Meta-training epoch
1474#[derive(Debug, Clone)]
1475pub struct MetaTrainingEpoch<T: Float + Debug + Send + Sync + 'static> {
1476    pub epoch: usize,
1477    pub training_result: MetaTrainingResult<T>,
1478    pub validation_result: MetaValidationResult<T>,
1479    pub meta_parameters: HashMap<String, Array1<T>>,
1480}
1481
1482/// Meta-validation result
1483#[derive(Debug, Clone)]
1484pub struct MetaValidationResult<T: Float + Debug + Send + Sync + 'static> {
1485    pub performance: T,
1486    pub adaptation_speed: T,
1487    pub generalization_gap: T,
1488    pub task_specific_metrics: HashMap<String, T>,
1489}
1490
1491/// Few-shot learning result
1492#[derive(Debug, Clone)]
1493pub struct FewShotResult<T: Float + Debug + Send + Sync + 'static> {
1494    pub accuracy: T,
1495    pub confidence: T,
1496    pub adaptation_steps: usize,
1497    pub uncertainty_estimates: Vec<T>,
1498}
1499
1500/// Transfer learning result
1501#[derive(Debug, Clone)]
1502pub struct TransferLearningResult<T: Float + Debug + Send + Sync + 'static> {
1503    pub transfer_efficiency: T,
1504    pub domain_adaptation_score: T,
1505    pub source_task_retention: T,
1506    pub target_task_performance: T,
1507}
1508
1509/// Task result for meta-learning
1510#[derive(Debug, Clone)]
1511pub struct TaskResult<T: Float + Debug + Send + Sync + 'static> {
1512    pub task_id: String,
1513    pub loss: T,
1514    pub metrics: HashMap<String, T>,
1515}
1516
1517/// Continual learning result
1518#[derive(Debug, Clone)]
1519pub struct ContinualLearningResult<T: Float + Debug + Send + Sync + 'static> {
1520    pub sequence_results: Vec<TaskResult<T>>,
1521    pub forgetting_measure: T,
1522    pub adaptation_efficiency: T,
1523}
1524
1525/// Multi-task learning result
1526#[derive(Debug, Clone)]
1527pub struct MultiTaskResult<T: Float + Debug + Send + Sync + 'static> {
1528    pub task_results: Vec<TaskResult<T>>,
1529    pub coordination_overhead: T,
1530    pub convergence_status: String,
1531}
1532
1533/// Meta-learning statistics
1534#[derive(Debug, Clone)]
1535pub struct MetaLearningStatistics<T: Float + Debug + Send + Sync + 'static> {
1536    pub algorithm: MetaLearningAlgorithm,
1537    pub total_tasks_seen: usize,
1538    pub adaptation_efficiency: T,
1539    pub transfer_success_rate: T,
1540    pub forgetting_measure: T,
1541    pub multitask_interference: T,
1542    pub few_shot_performance: T,
1543}
1544
1545// MAML implementation
1546impl<
1547        T: Float
1548            + Default
1549            + Clone
1550            + Send
1551            + Sync
1552            + scirs2_core::ndarray::ScalarOperand
1553            + std::fmt::Debug,
1554        D: Dimension,
1555    > MAMLLearner<T, D>
1556{
1557    pub fn new(config: MAMLConfig<T>) -> Result<Self> {
1558        let inner_optimizer: Box<dyn Optimizer<T, D> + Send + Sync> =
1559            Box::new(optirs_core::optimizers::SGD::new(config.inner_lr));
1560        let outer_optimizer: Box<dyn Optimizer<T, D> + Send + Sync> =
1561            Box::new(optirs_core::optimizers::SGD::new(config.outer_lr));
1562        let gradient_engine = GradientComputationEngine::new()?;
1563        let second_order_engine = if config.second_order {
1564            Some(SecondOrderGradientEngine::new()?)
1565        } else {
1566            None
1567        };
1568        let adaptation_history = VecDeque::with_capacity(1000);
1569
1570        Ok(Self {
1571            config,
1572            inner_optimizer,
1573            outer_optimizer,
1574            gradient_engine,
1575            second_order_engine,
1576            adaptation_history,
1577        })
1578    }
1579}
1580
1581impl<
1582        T: Float
1583            + Debug
1584            + 'static
1585            + Default
1586            + Clone
1587            + Send
1588            + Sync
1589            + std::iter::Sum
1590            + scirs2_core::ndarray::ScalarOperand,
1591        D: Dimension,
1592    > MetaLearner<T> for MAMLLearner<T, D>
1593{
1594    fn meta_train_step(
1595        &mut self,
1596        task_batch: &[MetaTask<T>],
1597        meta_parameters: &mut HashMap<String, Array1<T>>,
1598    ) -> Result<MetaTrainingResult<T>> {
1599        let mut total_meta_loss = T::zero();
1600        let mut task_losses = Vec::new();
1601        let mut meta_gradients = HashMap::new();
1602
1603        for task in task_batch {
1604            // Inner loop: adapt to task
1605            let adaptation_result =
1606                self.adapt_to_task(task, meta_parameters, self.config.inner_steps)?;
1607
1608            // Evaluate on query set
1609            let query_result =
1610                self.evaluate_query_set(task, &adaptation_result.adapted_parameters)?;
1611
1612            task_losses.push(query_result.query_loss);
1613            total_meta_loss = total_meta_loss + query_result.query_loss;
1614
1615            // Compute meta-gradients (simplified)
1616            for (name, param) in meta_parameters.iter() {
1617                let grad = Array1::zeros(param.len()); // Placeholder
1618                meta_gradients
1619                    .entry(name.clone())
1620                    .and_modify(|g: &mut Array1<T>| *g = g.clone() + &grad)
1621                    .or_insert(grad);
1622            }
1623        }
1624
1625        let batch_size = T::from(task_batch.len()).unwrap();
1626        let meta_loss = total_meta_loss / batch_size;
1627
1628        // Average meta-gradients
1629        for gradient in meta_gradients.values_mut() {
1630            *gradient = gradient.clone() / batch_size;
1631        }
1632
1633        Ok(MetaTrainingResult {
1634            meta_loss,
1635            task_losses: task_losses.clone(),
1636            meta_gradients,
1637            metrics: MetaTrainingMetrics {
1638                avg_adaptation_speed: scirs2_core::numeric::NumCast::from(2.0)
1639                    .unwrap_or_else(|| T::zero()),
1640                generalization_performance: scirs2_core::numeric::NumCast::from(0.85)
1641                    .unwrap_or_else(|| T::zero()),
1642                task_diversity: scirs2_core::numeric::NumCast::from(0.7)
1643                    .unwrap_or_else(|| T::zero()),
1644                gradient_alignment: scirs2_core::numeric::NumCast::from(0.9)
1645                    .unwrap_or_else(|| T::zero()),
1646            },
1647            adaptation_stats: AdaptationStatistics {
1648                convergence_steps: vec![self.config.inner_steps; task_batch.len()],
1649                final_losses: task_losses.clone(),
1650                adaptation_efficiency: scirs2_core::numeric::NumCast::from(0.8)
1651                    .unwrap_or_else(|| T::zero()),
1652                stability_metrics: StabilityMetrics {
1653                    parameter_stability: scirs2_core::numeric::NumCast::from(0.9)
1654                        .unwrap_or_else(|| T::zero()),
1655                    performance_stability: scirs2_core::numeric::NumCast::from(0.85)
1656                        .unwrap_or_else(|| T::zero()),
1657                    gradient_stability: scirs2_core::numeric::NumCast::from(0.92)
1658                        .unwrap_or_else(|| T::zero()),
1659                    forgetting_measure: scirs2_core::numeric::NumCast::from(0.1)
1660                        .unwrap_or_else(|| T::zero()),
1661                },
1662            },
1663        })
1664    }
1665
1666    fn adapt_to_task(
1667        &mut self,
1668        task: &MetaTask<T>,
1669        meta_parameters: &HashMap<String, Array1<T>>,
1670        adaptation_steps: usize,
1671    ) -> Result<TaskAdaptationResult<T>> {
1672        let mut adapted_parameters = meta_parameters.clone();
1673        let mut adaptation_trajectory = Vec::new();
1674
1675        for step in 0..adaptation_steps {
1676            // Compute loss on support set
1677            let loss = self.compute_support_loss(task, &adapted_parameters)?;
1678
1679            // Compute gradients
1680            let gradients = self.compute_gradients(&adapted_parameters, loss)?;
1681
1682            // Update _parameters
1683            let learning_rate = scirs2_core::numeric::NumCast::from(self.config.inner_lr)
1684                .unwrap_or_else(|| T::zero());
1685            for (name, param) in adapted_parameters.iter_mut() {
1686                if let Some(grad) = gradients.get(name) {
1687                    for i in 0..param.len() {
1688                        param[i] = param[i] - learning_rate * grad[i];
1689                    }
1690                }
1691            }
1692
1693            // Record adaptation step
1694            adaptation_trajectory.push(AdaptationStep {
1695                step,
1696                loss,
1697                gradient_norm: scirs2_core::numeric::NumCast::from(1.0)
1698                    .unwrap_or_else(|| T::zero()), // Placeholder
1699                parameter_change_norm: scirs2_core::numeric::NumCast::from(0.1)
1700                    .unwrap_or_else(|| T::zero()), // Placeholder
1701                learning_rate,
1702            });
1703        }
1704
1705        let final_loss = adaptation_trajectory
1706            .last()
1707            .map(|s| s.loss)
1708            .unwrap_or(T::zero());
1709
1710        Ok(TaskAdaptationResult {
1711            adapted_parameters,
1712            adaptation_trajectory,
1713            final_loss,
1714            metrics: TaskAdaptationMetrics {
1715                convergence_speed: scirs2_core::numeric::NumCast::from(1.5)
1716                    .unwrap_or_else(|| T::zero()),
1717                final_performance: scirs2_core::numeric::NumCast::from(0.9)
1718                    .unwrap_or_else(|| T::zero()),
1719                efficiency: scirs2_core::numeric::NumCast::from(0.85).unwrap_or_else(|| T::zero()),
1720                robustness: scirs2_core::numeric::NumCast::from(0.8).unwrap_or_else(|| T::zero()),
1721            },
1722        })
1723    }
1724
1725    fn evaluate_query_set(
1726        &self,
1727        task: &MetaTask<T>,
1728        _adapted_parameters: &HashMap<String, Array1<T>>,
1729    ) -> Result<QueryEvaluationResult<T>> {
1730        // Compute predictions on query set
1731        let mut predictions = Vec::new();
1732        let mut confidence_scores = Vec::new();
1733        let mut total_loss = T::zero();
1734
1735        for (features, target) in task.query_set.features.iter().zip(&task.query_set.targets) {
1736            // Simplified prediction computation
1737            let prediction = features.iter().copied().sum::<T>() / T::from(features.len()).unwrap();
1738            let loss = (prediction - *target) * (prediction - *target);
1739
1740            predictions.push(prediction);
1741            confidence_scores
1742                .push(scirs2_core::numeric::NumCast::from(0.9).unwrap_or_else(|| T::zero())); // Placeholder
1743            total_loss = total_loss + loss;
1744        }
1745
1746        let query_loss = total_loss / T::from(task.query_set.features.len()).unwrap();
1747        let accuracy = scirs2_core::numeric::NumCast::from(0.85).unwrap_or_else(|| T::zero()); // Placeholder
1748
1749        Ok(QueryEvaluationResult {
1750            query_loss,
1751            accuracy,
1752            predictions,
1753            confidence_scores,
1754            metrics: QueryEvaluationMetrics {
1755                mse: Some(query_loss),
1756                classification_accuracy: Some(accuracy),
1757                auc: Some(scirs2_core::numeric::NumCast::from(0.9).unwrap_or_else(|| T::zero())),
1758                uncertainty_quality: scirs2_core::numeric::NumCast::from(0.8)
1759                    .unwrap_or_else(|| T::zero()),
1760            },
1761        })
1762    }
1763
1764    fn get_algorithm(&self) -> MetaLearningAlgorithm {
1765        MetaLearningAlgorithm::MAML
1766    }
1767}
1768
1769impl<T: Float + Debug + Send + Sync + 'static + Default + Clone + std::iter::Sum, D: Dimension>
1770    MAMLLearner<T, D>
1771{
1772    fn compute_support_loss(
1773        &self,
1774        task: &MetaTask<T>,
1775        _parameters: &HashMap<String, Array1<T>>,
1776    ) -> Result<T> {
1777        let mut total_loss = T::zero();
1778
1779        for (features, target) in task
1780            .support_set
1781            .features
1782            .iter()
1783            .zip(&task.support_set.targets)
1784        {
1785            // Simplified loss computation
1786            let prediction = features.iter().copied().sum::<T>() / T::from(features.len()).unwrap();
1787            let loss = (prediction - *target) * (prediction - *target);
1788            total_loss = total_loss + loss;
1789        }
1790
1791        Ok(total_loss / T::from(task.support_set.features.len()).unwrap())
1792    }
1793
1794    fn compute_gradients(
1795        &self,
1796        parameters: &HashMap<String, Array1<T>>,
1797        _loss: T,
1798    ) -> Result<HashMap<String, Array1<T>>> {
1799        let mut gradients = HashMap::new();
1800
1801        // Simplified gradient computation
1802        for (name, param) in parameters {
1803            let grad = Array1::zeros(param.len()); // Placeholder
1804            gradients.insert(name.clone(), grad);
1805        }
1806
1807        Ok(gradients)
1808    }
1809}
1810
1811// Supporting structure implementations
1812// Stub implementations for missing types to enable compilation
1813
1814/// Meta-validation system for meta-learning
1815pub struct MetaValidator<T: Float + Debug + Send + Sync + 'static> {
1816    config: MetaLearningConfig,
1817    _phantom: std::marker::PhantomData<T>,
1818}
1819
1820impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> MetaValidator<T> {
1821    pub fn new(config: &MetaLearningConfig) -> Result<Self> {
1822        Ok(Self {
1823            config: config.clone(),
1824            _phantom: std::marker::PhantomData,
1825        })
1826    }
1827
1828    pub fn validate(
1829        &self,
1830        _meta_parameters: &MetaParameters<T>,
1831        _tasks: &[MetaTask<T>],
1832    ) -> Result<ValidationResult> {
1833        // Placeholder validation implementation
1834        Ok(ValidationResult {
1835            is_valid: true,
1836            validation_loss: 0.5,
1837            metrics: std::collections::HashMap::new(),
1838        })
1839    }
1840}
1841
1842/// Adaptation engine for meta-learning
1843pub struct AdaptationEngine<T: Float + Debug + Send + Sync + 'static> {
1844    config: MetaLearningConfig,
1845    _phantom: std::marker::PhantomData<T>,
1846}
1847
1848impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> AdaptationEngine<T> {
1849    pub fn new(config: &MetaLearningConfig) -> Result<Self> {
1850        Ok(Self {
1851            config: config.clone(),
1852            _phantom: std::marker::PhantomData,
1853        })
1854    }
1855
1856    pub fn adapt(
1857        &mut self,
1858        task: &MetaTask<T>,
1859        _meta_parameters: &HashMap<String, Array1<T>>,
1860        _meta_learner: &mut dyn MetaLearner<T>,
1861        _inner_steps: usize,
1862    ) -> Result<TaskAdaptationResult<T>> {
1863        // Placeholder adaptation implementation
1864        Ok(TaskAdaptationResult {
1865            adapted_parameters: _meta_parameters.clone(),
1866            adaptation_trajectory: Vec::new(),
1867            final_loss: T::from(0.1).unwrap_or_default(),
1868            metrics: TaskAdaptationMetrics {
1869                convergence_speed: T::from(1.0).unwrap_or_default(),
1870                final_performance: T::from(0.9).unwrap_or_default(),
1871                efficiency: T::from(0.8).unwrap_or_default(),
1872                robustness: T::from(0.85).unwrap_or_default(),
1873            },
1874        })
1875    }
1876}
1877
1878/// Transfer learning manager
1879pub struct TransferLearningManager<T: Float + Debug + Send + Sync + 'static> {
1880    settings: TransferLearningSettings,
1881    _phantom: std::marker::PhantomData<T>,
1882}
1883
1884impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> TransferLearningManager<T> {
1885    pub fn new(settings: &TransferLearningSettings) -> Result<Self> {
1886        Ok(Self {
1887            settings: settings.clone(),
1888            _phantom: std::marker::PhantomData,
1889        })
1890    }
1891
1892    pub fn transfer(
1893        &mut self,
1894        _source_tasks: &[MetaTask<T>],
1895        _target_tasks: &[MetaTask<T>],
1896        _meta_parameters: &HashMap<String, Array1<T>>,
1897    ) -> Result<TransferLearningResult<T>> {
1898        // Placeholder implementation
1899        Ok(TransferLearningResult {
1900            transfer_efficiency: T::from(0.85).unwrap_or_default(),
1901            domain_adaptation_score: T::from(0.8).unwrap_or_default(),
1902            source_task_retention: T::from(0.9).unwrap_or_default(),
1903            target_task_performance: T::from(0.8).unwrap_or_default(),
1904        })
1905    }
1906
1907    pub fn success_rate(&self) -> T {
1908        T::from(0.85).unwrap_or_default()
1909    }
1910}
1911
1912/// Continual learning system
1913pub struct ContinualLearningSystem<T: Float + Debug + Send + Sync + 'static> {
1914    settings: ContinualLearningSettings,
1915    _phantom: std::marker::PhantomData<T>,
1916}
1917
1918impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> ContinualLearningSystem<T> {
1919    pub fn new(settings: &ContinualLearningSettings) -> Result<Self> {
1920        Ok(Self {
1921            settings: settings.clone(),
1922            _phantom: std::marker::PhantomData,
1923        })
1924    }
1925
1926    pub fn learn_sequence(
1927        &mut self,
1928        sequence: &[MetaTask<T>],
1929        _meta_parameters: &mut HashMap<String, Array1<T>>,
1930    ) -> Result<ContinualLearningResult<T>> {
1931        // Placeholder implementation for continual learning
1932        let mut sequence_results = Vec::new();
1933
1934        for task in sequence {
1935            // Simple sequential task processing - in a real implementation, this would
1936            // handle continual learning with catastrophic forgetting prevention
1937            let task_result = TaskResult {
1938                task_id: task.id.clone(),
1939                loss: scirs2_core::numeric::NumCast::from(0.1).unwrap_or_else(|| T::zero()), // Placeholder loss
1940                metrics: HashMap::new(),
1941            };
1942            sequence_results.push(task_result);
1943        }
1944
1945        Ok(ContinualLearningResult {
1946            sequence_results,
1947            forgetting_measure: scirs2_core::numeric::NumCast::from(0.05)
1948                .unwrap_or_else(|| T::zero()),
1949            adaptation_efficiency: scirs2_core::numeric::NumCast::from(0.95)
1950                .unwrap_or_else(|| T::zero()),
1951        })
1952    }
1953
1954    pub fn forgetting_measure(&self) -> T {
1955        T::from(0.05).unwrap_or_default()
1956    }
1957}
1958
1959/// Multi-task coordinator
1960pub struct MultiTaskCoordinator<T: Float + Debug + Send + Sync + 'static> {
1961    settings: MultiTaskSettings,
1962    _phantom: std::marker::PhantomData<T>,
1963}
1964
1965impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> MultiTaskCoordinator<T> {
1966    pub fn new(settings: &MultiTaskSettings) -> Result<Self> {
1967        Ok(Self {
1968            settings: settings.clone(),
1969            _phantom: std::marker::PhantomData,
1970        })
1971    }
1972
1973    pub fn learn_simultaneously(
1974        &mut self,
1975        tasks: &[MetaTask<T>],
1976        _meta_parameters: &mut HashMap<String, Array1<T>>,
1977    ) -> Result<MultiTaskResult<T>> {
1978        // Placeholder implementation for multi-task learning
1979        let mut task_results = Vec::new();
1980
1981        for task in tasks {
1982            // Simple task processing - in a real implementation, this would
1983            // coordinate learning across multiple tasks simultaneously
1984            let task_result = TaskResult {
1985                task_id: task.id.clone(),
1986                loss: scirs2_core::numeric::NumCast::from(0.1).unwrap_or_else(|| T::zero()), // Placeholder loss
1987                metrics: HashMap::new(),
1988            };
1989            task_results.push(task_result);
1990        }
1991
1992        Ok(MultiTaskResult {
1993            task_results,
1994            coordination_overhead: scirs2_core::numeric::NumCast::from(0.01)
1995                .unwrap_or_else(|| T::zero()),
1996            convergence_status: "converged".to_string(),
1997        })
1998    }
1999
2000    pub fn interference_measure(&self) -> T {
2001        T::from(0.1).unwrap_or_default()
2002    }
2003}
2004
2005/// Meta-optimization tracker
2006pub struct MetaOptimizationTracker<T: Float + Debug + Send + Sync + 'static> {
2007    step_count: usize,
2008    _phantom: std::marker::PhantomData<T>,
2009}
2010
2011impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> Default
2012    for MetaOptimizationTracker<T>
2013{
2014    fn default() -> Self {
2015        Self::new()
2016    }
2017}
2018
2019impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> MetaOptimizationTracker<T> {
2020    pub fn new() -> Self {
2021        Self {
2022            step_count: 0,
2023            _phantom: std::marker::PhantomData,
2024        }
2025    }
2026
2027    pub fn record_epoch(
2028        &mut self,
2029        _epoch: usize,
2030        _training_result: &TrainingResult,
2031        _validation_result: &ValidationResult,
2032    ) -> Result<()> {
2033        self.step_count += 1;
2034        // Placeholder implementation
2035        Ok(())
2036    }
2037
2038    pub fn update_best_parameters(&mut self, _metaparameters: &MetaParameters<T>) -> Result<()> {
2039        // Placeholder implementation
2040        Ok(())
2041    }
2042
2043    pub fn total_tasks_seen(&self) -> usize {
2044        self.step_count * 10
2045    }
2046
2047    pub fn adaptation_efficiency(&self) -> T {
2048        T::from(0.9).unwrap_or_default()
2049    }
2050}
2051
2052/// Task distribution manager
2053pub struct TaskDistributionManager<T: Float + Debug + Send + Sync + 'static> {
2054    config: MetaLearningConfig,
2055    _phantom: std::marker::PhantomData<T>,
2056}
2057
2058impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> TaskDistributionManager<T> {
2059    pub fn new(config: &MetaLearningConfig) -> Result<Self> {
2060        Ok(Self {
2061            config: config.clone(),
2062            _phantom: std::marker::PhantomData,
2063        })
2064    }
2065
2066    pub fn sample_task_batch(
2067        &self,
2068        _tasks: &[MetaTask<T>],
2069        batch_size: usize,
2070    ) -> Result<Vec<MetaTask<T>>> {
2071        // Placeholder implementation - sample random _tasks
2072        Ok(vec![MetaTask::default(); batch_size.min(10)])
2073    }
2074}
2075
2076/// Few-shot learner
2077pub struct FewShotLearner<T: Float + Debug + Send + Sync + 'static> {
2078    settings: FewShotSettings,
2079    _phantom: std::marker::PhantomData<T>,
2080}
2081
2082impl<T: Float + Debug + Send + Sync + 'static + Default + Clone> FewShotLearner<T> {
2083    pub fn new(settings: &FewShotSettings) -> Result<Self> {
2084        Ok(Self {
2085            settings: settings.clone(),
2086            _phantom: std::marker::PhantomData,
2087        })
2088    }
2089
2090    pub fn learn(
2091        &mut self,
2092        _support_set: &TaskDataset<T>,
2093        _query_set: &TaskDataset<T>,
2094        _meta_parameters: &HashMap<String, Array1<T>>,
2095    ) -> Result<FewShotResult<T>> {
2096        // Placeholder implementation
2097        Ok(FewShotResult {
2098            accuracy: T::from(0.8).unwrap_or_default(),
2099            confidence: T::from(0.9).unwrap_or_default(),
2100            adaptation_steps: 5,
2101            uncertainty_estimates: vec![T::from(0.1).unwrap_or_default(); 10],
2102        })
2103    }
2104
2105    pub fn average_performance(&self) -> T {
2106        T::from(0.8).unwrap_or_default()
2107    }
2108}
2109
2110#[cfg(test)]
2111mod tests {
2112    use super::*;
2113
2114    #[test]
2115    fn test_meta_learning_config() {
2116        let config = MetaLearningConfig {
2117            algorithm: MetaLearningAlgorithm::MAML,
2118            inner_steps: 5,
2119            outer_steps: 100,
2120            meta_learning_rate: 0.001,
2121            inner_learning_rate: 0.01,
2122            task_batch_size: 16,
2123            support_set_size: 10,
2124            query_set_size: 15,
2125            second_order: true,
2126            gradient_clip: 1.0,
2127            adaptation_strategies: vec![AdaptationStrategy::FullFineTuning],
2128            transfer_settings: TransferLearningSettings {
2129                domain_adaptation: true,
2130                source_domain_weights: vec![1.0],
2131                strategies: vec![TransferStrategy::FineTuning],
2132                similarity_measures: vec![SimilarityMeasure::CosineDistance],
2133                progressive_transfer: false,
2134            },
2135            continual_settings: ContinualLearningSettings {
2136                anti_forgetting_strategies: vec![
2137                    AntiForgettingStrategy::ElasticWeightConsolidation,
2138                ],
2139                memory_replay: MemoryReplaySettings {
2140                    buffer_size: 1000,
2141                    replay_strategy: ReplayStrategy::Random,
2142                    replay_frequency: 10,
2143                    selection_criteria: MemorySelectionCriteria::Random,
2144                },
2145                task_identification: TaskIdentificationMethod::Oracle,
2146                plasticity_stability_balance: 0.5,
2147            },
2148            multitask_settings: MultiTaskSettings {
2149                task_weighting: TaskWeightingStrategy::Uniform,
2150                gradient_balancing: GradientBalancingMethod::Uniform,
2151                interference_mitigation: InterferenceMitigationStrategy::OrthogonalGradients,
2152                shared_representation: SharedRepresentationStrategy::HardSharing,
2153            },
2154            few_shot_settings: FewShotSettings {
2155                num_shots: 5,
2156                num_ways: 5,
2157                algorithm: FewShotAlgorithm::MAML,
2158                metric_learning: MetricLearningSettings {
2159                    distance_metric: DistanceMetric::Euclidean,
2160                    embedding_dim: 64,
2161                    learned_metric: false,
2162                },
2163                augmentation_strategies: vec![AugmentationStrategy::Geometric],
2164            },
2165            enable_meta_regularization: true,
2166            meta_regularization_strength: 0.01,
2167            task_sampling_strategy: TaskSamplingStrategy::Uniform,
2168        };
2169
2170        assert_eq!(config.inner_steps, 5);
2171        assert_eq!(config.task_batch_size, 16);
2172        assert!(config.second_order);
2173        assert!(matches!(config.algorithm, MetaLearningAlgorithm::MAML));
2174    }
2175
2176    #[test]
2177    fn test_maml_config() {
2178        let config = MAMLConfig {
2179            second_order: true,
2180            inner_lr: 0.01f64,
2181            outer_lr: 0.001f64,
2182            inner_steps: 5,
2183            allow_unused: true,
2184            gradient_clip: Some(1.0),
2185        };
2186
2187        assert!(config.second_order);
2188        assert_eq!(config.inner_steps, 5);
2189        assert_eq!(config.inner_lr, 0.01);
2190    }
2191}