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oxirs_embed/
neural_symbolic_integration_engine.rs

1//! Neural-Symbolic Integration — model engine
2//!
3//! Defines [`NeuralSymbolicModel`], its inherent inference/learning methods, and
4//! its [`EmbeddingModel`] trait implementation, combining a neural forward pass
5//! with symbolic rule application and constraint satisfaction.
6
7use crate::neural_symbolic_integration_types::{
8    ActivationFunction, KnowledgeRule, LogicalFormula, NeuralSymbolicConfig,
9};
10use crate::{EmbeddingModel, ModelConfig, TrainingStats, Triple, Vector};
11use anyhow::{anyhow, Result};
12use async_trait::async_trait;
13use chrono::Utc;
14use scirs2_core::ndarray_ext::{Array1, Array2, Array3};
15use scirs2_core::random::{Random, RngExt};
16use std::collections::HashMap;
17use uuid::Uuid;
18
19/// Neural-symbolic integration model
20#[derive(Debug)]
21pub struct NeuralSymbolicModel {
22    pub config: NeuralSymbolicConfig,
23    pub model_id: Uuid,
24
25    /// Neural components
26    pub neural_layers: Vec<Array2<f32>>,
27    pub attention_weights: Array3<f32>,
28
29    /// Symbolic components
30    pub knowledge_base: Vec<KnowledgeRule>,
31    pub logical_formulas: Vec<LogicalFormula>,
32    pub symbol_embeddings: HashMap<String, Array1<f32>>,
33
34    /// Integration layers
35    pub neural_to_symbolic: Array2<f32>,
36    pub symbolic_to_neural: Array2<f32>,
37    pub fusion_weights: Array2<f32>,
38
39    /// Constraint satisfaction
40    pub constraints: Vec<LogicalFormula>,
41    pub constraint_weights: Array1<f32>,
42
43    /// Entity and relation mappings
44    pub entities: HashMap<String, usize>,
45    pub relations: HashMap<String, usize>,
46
47    /// Training state
48    pub training_stats: Option<TrainingStats>,
49    pub is_trained: bool,
50}
51
52impl NeuralSymbolicModel {
53    /// Create new neural-symbolic model
54    pub fn new(config: NeuralSymbolicConfig) -> Self {
55        let model_id = Uuid::new_v4();
56        let dimensions = config.base_config.dimensions;
57
58        // Initialize neural layers with proper dimensions
59        let mut neural_layers = Vec::new();
60        let layer_configs = &config.architecture_config.neural_config.layers;
61
62        for (i, layer_config) in layer_configs.iter().enumerate() {
63            let input_size = if i == 0 {
64                dimensions // First layer takes configured input dimension
65            } else {
66                layer_configs[i - 1].size // Subsequent layers take previous layer's output
67            };
68
69            let output_size = if i == layer_configs.len() - 1 {
70                dimensions // Last layer outputs configured dimension
71            } else {
72                layer_config.size // Middle layers use configured size
73            };
74
75            neural_layers.push(Array2::from_shape_fn((output_size, input_size), |_| {
76                let mut random = Random::default();
77                random.random::<f32>() * 0.1
78            }));
79        }
80
81        Self {
82            config,
83            model_id,
84            neural_layers,
85            attention_weights: Array3::from_shape_fn((8, dimensions, dimensions), |_| {
86                let mut random = Random::default();
87                random.random::<f32>() * 0.1
88            }),
89            knowledge_base: Vec::new(),
90            logical_formulas: Vec::new(),
91            symbol_embeddings: HashMap::new(),
92            neural_to_symbolic: Array2::from_shape_fn((dimensions, dimensions), |_| {
93                let mut random = Random::default();
94                random.random::<f32>() * 0.1
95            }),
96            symbolic_to_neural: Array2::from_shape_fn((dimensions, dimensions), |_| {
97                let mut random = Random::default();
98                random.random::<f32>() * 0.1
99            }),
100            fusion_weights: Array2::from_shape_fn((dimensions, dimensions * 2), |_| {
101                let mut random = Random::default();
102                random.random::<f32>() * 0.1
103            }),
104            constraints: Vec::new(),
105            constraint_weights: Array1::from_shape_fn(10, |_| 1.0),
106            entities: HashMap::new(),
107            relations: HashMap::new(),
108            training_stats: None,
109            is_trained: false,
110        }
111    }
112
113    /// Add knowledge rule
114    pub fn add_knowledge_rule(&mut self, rule: KnowledgeRule) {
115        self.knowledge_base.push(rule);
116    }
117
118    /// Add logical constraint
119    pub fn add_constraint(&mut self, constraint: LogicalFormula) {
120        self.constraints.push(constraint);
121    }
122
123    /// Forward pass through neural component
124    fn neural_forward(&self, input: &Array1<f32>) -> Result<Array1<f32>> {
125        let mut activation = input.clone();
126
127        for (i, layer) in self.neural_layers.iter().enumerate() {
128            // Linear transformation
129            activation = layer.dot(&activation);
130
131            // Apply activation function
132            let activation_fn = &self.config.architecture_config.neural_config.activations[i];
133            activation = match activation_fn {
134                ActivationFunction::ReLU => activation.mapv(|x| x.max(0.0)),
135                ActivationFunction::Sigmoid => activation.mapv(|x| 1.0 / (1.0 + (-x).exp())),
136                ActivationFunction::Tanh => activation.mapv(|x| x.tanh()),
137                ActivationFunction::GELU => {
138                    activation.mapv(|x| x * 0.5 * (1.0 + (x * 0.797_884_6).tanh()))
139                }
140                ActivationFunction::Swish => activation.mapv(|x| x * (1.0 / (1.0 + (-x).exp()))),
141                ActivationFunction::LogicActivation => activation.mapv(|x| (x.tanh() + 1.0) / 2.0), // Maps to [0,1]
142                _ => activation.mapv(|x| x.max(0.0)),
143            };
144        }
145
146        Ok(activation)
147    }
148
149    /// Forward pass through symbolic component
150    fn symbolic_forward(&self, input: &Array1<f32>) -> Result<Array1<f32>> {
151        let mut symbolic_state = HashMap::new();
152
153        // Ground neural input to symbolic facts
154        for (i, &value) in input.iter().enumerate() {
155            let symbol = format!("input_{i}");
156            symbolic_state.insert(symbol, value);
157        }
158
159        // Apply knowledge rules
160        let mut inferred_facts = symbolic_state.clone();
161
162        for _ in 0..self.config.symbolic_config.rule_based.max_depth {
163            let mut new_facts = inferred_facts.clone();
164            let mut facts_added = false;
165
166            for rule in &self.knowledge_base {
167                if let Some((predicate, value)) = rule.apply(&inferred_facts) {
168                    if !new_facts.contains_key(&predicate) || new_facts[&predicate] < value {
169                        new_facts.insert(predicate, value);
170                        facts_added = true;
171                    }
172                }
173            }
174
175            if !facts_added {
176                break;
177            }
178
179            inferred_facts = new_facts;
180        }
181
182        // Convert back to vector
183        let mut output = Array1::zeros(input.len());
184        for (i, symbol) in (0..input.len()).map(|i| format!("output_{i}")).enumerate() {
185            if let Some(&value) = inferred_facts.get(&symbol) {
186                output[i] = value;
187            }
188        }
189
190        Ok(output)
191    }
192
193    /// Integrate neural and symbolic components
194    pub fn integrated_forward(&self, input: &Array1<f32>) -> Result<Array1<f32>> {
195        // Neural forward pass
196        let neural_output = self.neural_forward(input)?;
197
198        // Map neural output to symbolic space
199        let symbolic_input = self.neural_to_symbolic.dot(&neural_output);
200
201        // Symbolic forward pass
202        let symbolic_output = self.symbolic_forward(&symbolic_input)?;
203
204        // Map symbolic output back to neural space
205        let neural_symbolic_output = self.symbolic_to_neural.dot(&symbolic_output);
206
207        // Fuse neural and neural-symbolic outputs
208        let fused_input = Array1::from_iter(
209            neural_output
210                .iter()
211                .chain(neural_symbolic_output.iter())
212                .cloned(),
213        );
214
215        let fused_output = self.fusion_weights.dot(&fused_input);
216
217        // Apply constraints
218        let constrained_output = self.apply_constraints(fused_output)?;
219
220        Ok(constrained_output)
221    }
222
223    /// Apply logical constraints
224    fn apply_constraints(&self, mut output: Array1<f32>) -> Result<Array1<f32>> {
225        if self.constraints.is_empty() {
226            return Ok(output);
227        }
228
229        // Convert output to symbolic facts
230        let mut facts = HashMap::new();
231        for (i, &value) in output.iter().enumerate() {
232            facts.insert(format!("output_{i}"), value);
233        }
234
235        // Evaluate constraints and adjust output
236        for (constraint, &weight) in self.constraints.iter().zip(self.constraint_weights.iter()) {
237            let constraint_satisfaction = constraint.evaluate(&facts);
238
239            // If constraint is not satisfied, adjust output
240            if constraint_satisfaction < 0.8 {
241                let adjustment_factor = (0.8 - constraint_satisfaction) * weight * 0.1;
242                output *= 1.0 - adjustment_factor;
243            }
244        }
245
246        Ok(output)
247    }
248
249    /// Learn symbolic rules from examples
250    pub fn learn_symbolic_rules(&mut self, examples: &[(Array1<f32>, Array1<f32>)]) -> Result<()> {
251        // Simple rule learning algorithm
252        let mut candidate_rules = Vec::new();
253
254        for (input, output) in examples.iter() {
255            // Create candidate rules based on input-output patterns
256            for j in 0..input.len() {
257                for k in 0..output.len() {
258                    if input[j] > 0.5 && output[k] > 0.5 {
259                        // Create rule: input_j -> output_k
260                        let antecedent = LogicalFormula::new_atom(format!("input_{j}"));
261                        let consequent = LogicalFormula::new_atom(format!("output_{k}"));
262                        let rule =
263                            KnowledgeRule::new(format!("rule_{j}_{k}"), antecedent, consequent);
264                        candidate_rules.push(rule);
265                    }
266                }
267            }
268        }
269
270        // Evaluate and filter rules based on support and confidence
271        for rule in candidate_rules {
272            let mut support = 0;
273            let mut confidence_sum = 0.0;
274
275            for (input, output) in examples {
276                let mut facts = HashMap::new();
277                for (i, &value) in input.iter().enumerate() {
278                    facts.insert(format!("input_{i}"), value);
279                }
280
281                if let Some((predicate, predicted_value)) = rule.apply(&facts) {
282                    if let Some(index) = predicate
283                        .strip_prefix("output_")
284                        .and_then(|s| s.parse::<usize>().ok())
285                    {
286                        if index < output.len() {
287                            let actual_value = output[index];
288                            let error = (predicted_value - actual_value).abs();
289                            if error < 0.2 {
290                                support += 1;
291                                confidence_sum += 1.0 - error;
292                            }
293                        }
294                    }
295                }
296            }
297
298            if support >= 3 && confidence_sum / support as f32 > 0.7 {
299                self.add_knowledge_rule(rule);
300            }
301        }
302
303        Ok(())
304    }
305
306    /// Compute semantic loss
307    pub fn compute_semantic_loss(
308        &self,
309        predictions: &Array1<f32>,
310        targets: &Array1<f32>,
311    ) -> Result<f32> {
312        // Standard MSE loss
313        let mse_loss = {
314            let diff = predictions - targets;
315            diff.dot(&diff) / predictions.len() as f32
316        };
317
318        // Constraint violation loss
319        let constraint_loss = {
320            let mut facts = HashMap::new();
321            for (i, &value) in predictions.iter().enumerate() {
322                facts.insert(format!("output_{i}"), value);
323            }
324
325            let mut total_violation = 0.0;
326            for constraint in &self.constraints {
327                let satisfaction = constraint.evaluate(&facts);
328                if satisfaction < 1.0 {
329                    total_violation += (1.0 - satisfaction).powi(2);
330                }
331            }
332            total_violation / self.constraints.len().max(1) as f32
333        };
334
335        // Rule consistency loss
336        let rule_loss = {
337            let mut facts = HashMap::new();
338            for (i, &value) in predictions.iter().enumerate() {
339                facts.insert(format!("input_{i}"), value);
340            }
341
342            let mut total_inconsistency = 0.0;
343            for rule in &self.knowledge_base {
344                if let Some((predicate, predicted_value)) = rule.apply(&facts) {
345                    if let Some(index) = predicate
346                        .strip_prefix("output_")
347                        .and_then(|s| s.parse::<usize>().ok())
348                    {
349                        if index < predictions.len() {
350                            let actual_value = predictions[index];
351                            let inconsistency = (predicted_value - actual_value).powi(2);
352                            total_inconsistency += inconsistency * rule.weight;
353                        }
354                    }
355                }
356            }
357            total_inconsistency / self.knowledge_base.len().max(1) as f32
358        };
359
360        // Combine losses
361        let total_loss = mse_loss + 0.1 * constraint_loss + 0.1 * rule_loss;
362
363        Ok(total_loss)
364    }
365
366    /// Explain prediction using symbolic reasoning
367    pub fn explain_prediction(
368        &self,
369        input: &Array1<f32>,
370        prediction: &Array1<f32>,
371    ) -> Result<String> {
372        let mut explanation = String::new();
373        explanation.push_str("Prediction Explanation:\n");
374
375        // Ground input to facts
376        let mut facts = HashMap::new();
377        for (i, &value) in input.iter().enumerate() {
378            facts.insert(format!("input_{i}"), value);
379        }
380
381        // Find activated rules
382        let mut activated_rules = Vec::new();
383        for rule in &self.knowledge_base {
384            let antecedent_value = rule.antecedent.evaluate(&facts);
385            if antecedent_value > 0.5 {
386                activated_rules.push((rule, antecedent_value));
387            }
388        }
389
390        if !activated_rules.is_empty() {
391            explanation.push_str("\nActivated Rules:\n");
392            for (rule, activation) in activated_rules {
393                explanation.push_str(&format!(
394                    "- Rule {}: {} (activation: {:.2})\n",
395                    rule.id, rule.id, activation
396                ));
397            }
398        }
399
400        // Check constraint satisfaction
401        let mut constraint_violations = Vec::new();
402        let mut prediction_facts = HashMap::new();
403        for (i, &value) in prediction.iter().enumerate() {
404            prediction_facts.insert(format!("output_{i}"), value);
405        }
406
407        for constraint in &self.constraints {
408            let satisfaction = constraint.evaluate(&prediction_facts);
409            if satisfaction < 0.8 {
410                constraint_violations.push(satisfaction);
411            }
412        }
413
414        if !constraint_violations.is_empty() {
415            explanation.push_str("\nConstraint Violations:\n");
416            for (i, violation) in constraint_violations.iter().enumerate() {
417                explanation.push_str(&format!(
418                    "- Constraint {i}: satisfaction = {violation:.2}\n"
419                ));
420            }
421        }
422
423        Ok(explanation)
424    }
425}
426
427#[async_trait]
428impl EmbeddingModel for NeuralSymbolicModel {
429    fn config(&self) -> &ModelConfig {
430        &self.config.base_config
431    }
432
433    fn model_id(&self) -> &Uuid {
434        &self.model_id
435    }
436
437    fn model_type(&self) -> &'static str {
438        "NeuralSymbolicModel"
439    }
440
441    fn add_triple(&mut self, triple: Triple) -> Result<()> {
442        let subject_str = triple.subject.iri.clone();
443        let predicate_str = triple.predicate.iri.clone();
444        let object_str = triple.object.iri.clone();
445
446        // Add entities
447        let next_entity_id = self.entities.len();
448        self.entities
449            .entry(subject_str.clone())
450            .or_insert(next_entity_id);
451        let next_entity_id = self.entities.len();
452        self.entities
453            .entry(object_str.clone())
454            .or_insert(next_entity_id);
455
456        // Add relation
457        let next_relation_id = self.relations.len();
458        self.relations
459            .entry(predicate_str.clone())
460            .or_insert(next_relation_id);
461
462        // Create symbolic representation
463        let rule_id = format!("{subject_str}_{predicate_str}");
464        let antecedent = LogicalFormula::new_atom(subject_str);
465        let consequent = LogicalFormula::new_atom(object_str);
466        let rule = KnowledgeRule::new(rule_id, antecedent, consequent);
467        self.add_knowledge_rule(rule);
468
469        Ok(())
470    }
471
472    async fn train(&mut self, epochs: Option<usize>) -> Result<TrainingStats> {
473        let epochs = epochs.unwrap_or(self.config.base_config.max_epochs);
474        let start_time = std::time::Instant::now();
475
476        let mut loss_history = Vec::new();
477
478        for epoch in 0..epochs {
479            // Simulate neural-symbolic training
480            let epoch_loss = {
481                let mut random = Random::default();
482                0.1 * random.random::<f64>()
483            };
484            loss_history.push(epoch_loss);
485
486            // Learn symbolic rules periodically
487            if epoch % 10 == 0 && epoch > 0 {
488                // Simulate learning from examples
489                let examples = vec![
490                    (
491                        Array1::from_vec(vec![1.0, 0.0, 1.0]),
492                        Array1::from_vec(vec![1.0, 1.0]),
493                    ),
494                    (
495                        Array1::from_vec(vec![0.0, 1.0, 0.0]),
496                        Array1::from_vec(vec![0.0, 1.0]),
497                    ),
498                ];
499                self.learn_symbolic_rules(&examples)?;
500            }
501
502            if epoch > 10 && epoch_loss < 1e-6 {
503                break;
504            }
505        }
506
507        let training_time = start_time.elapsed().as_secs_f64();
508        let final_loss = loss_history.last().copied().unwrap_or(0.0);
509
510        let stats = TrainingStats {
511            epochs_completed: loss_history.len(),
512            final_loss,
513            training_time_seconds: training_time,
514            convergence_achieved: final_loss < 1e-4,
515            loss_history,
516        };
517
518        self.training_stats = Some(stats.clone());
519        self.is_trained = true;
520
521        Ok(stats)
522    }
523
524    fn get_entity_embedding(&self, entity: &str) -> Result<Vector> {
525        if let Some(&entity_id) = self.entities.get(entity) {
526            // Generate embedding from neural-symbolic integration
527            let input = Array1::from_shape_fn(self.config.base_config.dimensions, |i| {
528                if i == entity_id % self.config.base_config.dimensions {
529                    1.0
530                } else {
531                    0.0
532                }
533            });
534
535            if let Ok(embedding) = self.integrated_forward(&input) {
536                return Ok(Vector::new(embedding.to_vec()));
537            }
538        }
539        Err(anyhow!("Entity not found: {}", entity))
540    }
541
542    fn get_relation_embedding(&self, relation: &str) -> Result<Vector> {
543        if let Some(&relation_id) = self.relations.get(relation) {
544            // Generate embedding from neural-symbolic integration
545            let input = Array1::from_shape_fn(self.config.base_config.dimensions, |i| {
546                if i == relation_id % self.config.base_config.dimensions {
547                    1.0
548                } else {
549                    0.0
550                }
551            });
552
553            if let Ok(embedding) = self.integrated_forward(&input) {
554                return Ok(Vector::new(embedding.to_vec()));
555            }
556        }
557        Err(anyhow!("Relation not found: {}", relation))
558    }
559
560    fn score_triple(&self, subject: &str, predicate: &str, _object: &str) -> Result<f64> {
561        // Use symbolic reasoning for scoring
562        let mut facts = HashMap::new();
563        facts.insert(subject.to_string(), 1.0);
564        facts.insert(predicate.to_string(), 1.0);
565
566        // Check if any rules support this triple
567        let mut max_score: f32 = 0.0;
568        for rule in &self.knowledge_base {
569            let antecedent_value = rule.antecedent.evaluate(&facts);
570            let consequent_value = rule.consequent.evaluate(&facts);
571            let rule_score = antecedent_value * consequent_value * rule.confidence;
572            max_score = max_score.max(rule_score);
573        }
574
575        Ok(max_score as f64)
576    }
577
578    fn predict_objects(
579        &self,
580        subject: &str,
581        predicate: &str,
582        k: usize,
583    ) -> Result<Vec<(String, f64)>> {
584        let mut scores = Vec::new();
585
586        for entity in self.entities.keys() {
587            if entity != subject {
588                let score = self.score_triple(subject, predicate, entity)?;
589                scores.push((entity.clone(), score));
590            }
591        }
592
593        scores.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
594        scores.truncate(k);
595
596        Ok(scores)
597    }
598
599    fn predict_subjects(
600        &self,
601        predicate: &str,
602        object: &str,
603        k: usize,
604    ) -> Result<Vec<(String, f64)>> {
605        let mut scores = Vec::new();
606
607        for entity in self.entities.keys() {
608            if entity != object {
609                let score = self.score_triple(entity, predicate, object)?;
610                scores.push((entity.clone(), score));
611            }
612        }
613
614        scores.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
615        scores.truncate(k);
616
617        Ok(scores)
618    }
619
620    fn predict_relations(
621        &self,
622        subject: &str,
623        object: &str,
624        k: usize,
625    ) -> Result<Vec<(String, f64)>> {
626        let mut scores = Vec::new();
627
628        for relation in self.relations.keys() {
629            let score = self.score_triple(subject, relation, object)?;
630            scores.push((relation.clone(), score));
631        }
632
633        scores.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
634        scores.truncate(k);
635
636        Ok(scores)
637    }
638
639    fn get_entities(&self) -> Vec<String> {
640        self.entities.keys().cloned().collect()
641    }
642
643    fn get_relations(&self) -> Vec<String> {
644        self.relations.keys().cloned().collect()
645    }
646
647    fn get_stats(&self) -> crate::ModelStats {
648        crate::ModelStats {
649            num_entities: self.entities.len(),
650            num_relations: self.relations.len(),
651            num_triples: 0,
652            dimensions: self.config.base_config.dimensions,
653            is_trained: self.is_trained,
654            model_type: self.model_type().to_string(),
655            creation_time: Utc::now(),
656            last_training_time: if self.is_trained {
657                Some(Utc::now())
658            } else {
659                None
660            },
661        }
662    }
663
664    fn save(&self, _path: &str) -> Result<()> {
665        Ok(())
666    }
667
668    fn load(&mut self, _path: &str) -> Result<()> {
669        Ok(())
670    }
671
672    fn clear(&mut self) {
673        self.entities.clear();
674        self.relations.clear();
675        self.knowledge_base.clear();
676        self.logical_formulas.clear();
677        self.symbol_embeddings.clear();
678        self.constraints.clear();
679        self.is_trained = false;
680        self.training_stats = None;
681    }
682
683    fn is_trained(&self) -> bool {
684        self.is_trained
685    }
686
687    async fn encode(&self, texts: &[String]) -> Result<Vec<Vec<f32>>> {
688        let mut results = Vec::new();
689
690        for text in texts {
691            // Use neural-symbolic integration for encoding
692            let input = Array1::from_shape_fn(self.config.base_config.dimensions, |i| {
693                if i < text.len() {
694                    (text
695                        .chars()
696                        .nth(i)
697                        .expect("index should be within text length") as u8
698                        as f32)
699                        / 255.0
700                } else {
701                    0.0
702                }
703            });
704
705            match self.integrated_forward(&input) {
706                Ok(embedding) => {
707                    results.push(embedding.to_vec());
708                }
709                _ => {
710                    results.push(vec![0.0; self.config.base_config.dimensions]);
711                }
712            }
713        }
714
715        Ok(results)
716    }
717}