hessboost 0.2.2

Fast, deterministic gradient boosting (GBDT) in Rust: conformal intervals, explainable boosting machines, distributional boosting, tree-based diffusion, and XGBoost model interchange
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
//! The classic cyclic EBM: outer bags, round-robin term boosting, and
//! per-bag early stopping on held-out rows.

use super::fast::fast_pairs;
use super::{EBM_BAG_SALT, EBM_SALT, Grown, Hook, Term, gradients, grow, parallel};
use crate::config::TrainingParams;
use crate::data::DMatrix;
use crate::error::{HessboostError, Result};
use crate::metric::Metric;
use crate::rng::{GOLDEN, Rng, splitmix64};
use crate::training::boulevard::tree_rows;
use crate::training::prepare::{Prepared, TrainContext};
use crate::training::row_sampling::bernoulli_rows;
use crate::tree::RegTree;
use crate::tree::builder::all_rows;
use rayon::prelude::*;
use std::collections::VecDeque;

/// The rows of `pool` kept with probability `subsample` (at least one).
fn subsample_of(pool: &[u32], subsample: f64, rng: &mut Rng) -> Vec<u32> {
    if subsample >= 1.0 {
        return pool.to_vec();
    }
    let expected = pool.len() as f64 * subsample;
    bernoulli_rows(pool.len(), |i| pool[i], |_| subsample, expected, rng)
}

/// The rows of `pool` (whose queries are `row_queries`, out of `queries`)
/// in the queries kept with probability `fraction`, one draw per query in
/// query order. When no query of the pool is kept, the whole query of a
/// random pool row: a tree always trains on whole queries.
fn query_sample(
    pool: &[u32],
    row_queries: &[u32],
    queries: usize,
    fraction: f64,
    rng: &mut Rng,
) -> Vec<u32> {
    let mut kept: Vec<bool> = (0..queries).map(|_| rng.f64() < fraction).collect();
    let in_kept = |kept: &[bool]| -> Vec<u32> {
        pool.iter()
            .zip(row_queries)
            .filter(|&(_, &query)| kept[query as usize])
            .map(|(&row, _)| row)
            .collect()
    };
    let rows = in_kept(&kept);
    if !rows.is_empty() {
        return rows;
    }
    kept[row_queries[rng.range(0..pool.len())] as usize] = true;
    in_kept(&kept)
}

/// The rows an outer bag does not train on, which it early-stops on.
struct Holdout {
    rows: Vec<u32>,
    data: DMatrix,
}

/// A bag's early stopping in one stage (InterpretML's rule): after every
/// tree, the held-out score `m` (lower is better); stop once the best score
/// of the last `window` trees fails to beat the best before them by the
/// relative tolerance; keep the trees up to the best score.
struct Stopper {
    window: VecDeque<f64>,
    capacity: usize,
    tolerance: f64,
    /// Best score of every tree so far, and of the trees before the window.
    min_all: f64,
    min_before: f64,
    /// The best score (the stage's starting model included), how many of
    /// the bag's trees it had, and its margins.
    best: f64,
    best_len: usize,
    best_margins: Vec<f32>,
    done: bool,
}

impl Stopper {
    fn new(capacity: usize, tolerance: f64, start: f64, bag: &Bag) -> Self {
        Stopper {
            // Grown as trees arrive: the patience may exceed any run.
            window: VecDeque::new(),
            capacity,
            tolerance,
            min_all: f64::INFINITY,
            min_before: f64::INFINITY,
            best: start,
            best_len: bag.trees.len(),
            best_margins: bag.margins.clone(),
            done: false,
        }
    }

    /// Record the score `m` of the model with `len` trees and `margins`.
    fn observe(&mut self, m: f64, len: usize, margins: &[f32]) {
        let m = if m.is_nan() { f64::INFINITY } else { m };
        if m < self.best {
            self.best = m;
            self.best_len = len;
            self.best_margins.copy_from_slice(margins);
        }
        let mut tolerance = self.min_all.abs().min(self.min_before.abs()) * self.tolerance;
        if !tolerance.is_finite() {
            tolerance = 0.0;
        }
        self.min_all = self.min_all.min(m);
        if self.window.len() == self.capacity
            && let Some(oldest) = self.window.pop_front()
        {
            self.min_before = self.min_before.min(oldest);
        }
        self.window.push_back(m);
        let recent = self.window.iter().copied().fold(f64::INFINITY, f64::min);
        if self.window.len() == self.capacity && self.min_before - tolerance <= recent {
            self.done = true;
        }
    }
}

/// How a bag scores its held-out rows: the early-stopping metric and
/// whether it is maximized (scores are negated then, so lower is better).
struct Scorer<'m> {
    metric: &'m dyn Metric,
    sign: f64,
}

/// One outer bag of the classic EBM: its rows (with query bagging, each
/// row's query index and the query count), its margins over every training
/// row, its trees (learning rate applied, not yet `1/B`), and with early
/// stopping its held-out rows and the current stage's stopper.
struct Bag {
    index: u64,
    rows: Vec<u32>,
    row_queries: Vec<u32>,
    queries: usize,
    margins: Vec<f32>,
    trees: Vec<(u32, RegTree)>,
    holdout: Option<Holdout>,
    stopper: Option<Stopper>,
    /// Trees this bag has grown over both stages: each tree's gradient
    /// iteration.
    grown: usize,
}

impl Bag {
    fn new(run: &TrainContext, index: usize, mu: f64) -> Result<Self> {
        let TrainContext { params, dtrain, .. } = *run;
        let n = dtrain.n_rows();
        let index = index as u64;
        let rows = if params.ebm_settings().bag_fraction() >= 1.0 {
            all_rows(n)
        } else {
            let mut rng = Rng::new(splitmix64(
                params.seed ^ EBM_BAG_SALT ^ index.wrapping_mul(GOLDEN),
            ));
            let fraction = params.ebm_settings().bag_fraction();
            bernoulli_rows(n, |i| i as u32, |_| fraction, n as f64 * fraction, &mut rng)
        };
        let holdout = if params.ebm_settings().early_stopping().is_some() {
            let mut in_bag = vec![false; n];
            for &r in &rows {
                in_bag[r as usize] = true;
            }
            let held: Vec<usize> = (0..n).filter(|&r| !in_bag[r]).collect();
            if held.is_empty() {
                return Err(HessboostError::invalid_param(
                    "ebm_early_stopping_rounds",
                    format!(
                        "outer bag {index} holds out no rows to stop on; lower `ebm_bag_fraction`"
                    ),
                ));
            }
            Some(Holdout {
                rows: held.iter().map(|&r| r as u32).collect(),
                data: dtrain.select_rows(&held)?,
            })
        } else {
            None
        };
        // Query bagging keeps whole queries: each bag row's query index.
        let (row_queries, queries) = match (params.bagging_by_query, dtrain.group()) {
            (Some(_), Some(group)) => {
                let mut query_of = vec![0u32; n];
                let mut queries = 0;
                for (query, (start, end)) in group.iter_ranges().enumerate() {
                    query_of[start..end].fill(query as u32);
                    queries += 1;
                }
                let row_queries = rows.iter().map(|&r| query_of[r as usize]).collect();
                (row_queries, queries)
            }
            _ => (Vec::new(), 0),
        };
        Ok(Bag {
            index,
            rows,
            row_queries,
            queries,
            margins: vec![mu as f32; n],
            trees: Vec::new(),
            holdout,
            stopper: None,
            grown: 0,
        })
    }

    /// The bag rows one classic tree trains on: each kept with probability
    /// `subsample`; under class-balanced bagging with its class's fraction
    /// (a label-`1` row with `pos_fraction`, any other with
    /// `neg_fraction`); under query bagging the rows of the queries kept
    /// with probability `fraction` ([`query_sample`]). At least one row.
    fn tree_sample(&self, params: &TrainingParams, labels: &[f32], rng: &mut Rng) -> Vec<u32> {
        if let Some(bagging) = params.bagging_by_query {
            return query_sample(
                &self.rows,
                &self.row_queries,
                self.queries,
                bagging.fraction(),
                rng,
            );
        }
        let Some(bagging) = params.balanced_bagging else {
            return subsample_of(&self.rows, params.subsample, rng);
        };
        let (pos, neg) = (bagging.pos_fraction(), bagging.neg_fraction());
        let rows = &self.rows;
        let fraction = |row: u32| {
            if labels[row as usize] == 1.0 {
                pos
            } else {
                neg
            }
        };
        bernoulli_rows(
            rows.len(),
            |i| rows[i],
            fraction,
            rows.len() as f64 * pos.max(neg),
            rng,
        )
    }

    /// The held-out score of the bag's current margins (lower is better).
    fn score(&self, run: &TrainContext, scorer: &Scorer) -> f64 {
        let Some(holdout) = &self.holdout else {
            return 0.0;
        };
        let mut preds: Vec<f32> = holdout
            .rows
            .iter()
            .map(|&r| self.margins[r as usize])
            .collect();
        run.objective.eval_transform(&mut preds);
        scorer.sign * scorer.metric.eval_info(&preds, &holdout.data.info())
    }

    /// Start a stage of `terms` terms: with early stopping, a stopper
    /// seeded with the current model.
    fn start_stage(&mut self, run: &TrainContext, scorer: Option<&Scorer>, terms: usize) {
        let stopping = run.params.ebm_settings().early_stopping();
        self.stopper = scorer.zip(stopping).map(|(scorer, stopping)| {
            let capacity = stopping.rounds().get().saturating_mul(terms);
            let start = self.score(run, scorer);
            Stopper::new(capacity, stopping.tolerance(), start, self)
        });
    }

    /// End a stage: an early-stopped bag keeps its trees up to its best
    /// held-out score.
    fn finish_stage(&mut self) {
        if let Some(stopper) = self.stopper.take() {
            self.trees.truncate(stopper.best_len);
            self.margins = stopper.best_margins;
        }
    }

    /// Whether the bag's current stage has stopped early.
    fn stopped(&self) -> bool {
        self.stopper.as_ref().is_some_and(|s| s.done)
    }

    /// Round `round` of cyclic boosting over `terms`: each tree fits the
    /// gradients of everything before it; with early stopping each tree is
    /// scored, and the round ends where the bag stops.
    fn cycle(
        &mut self,
        run: &TrainContext,
        prepared: &Prepared,
        terms: &[Term],
        round: (u64, u64),
        scorer: Option<&Scorer>,
    ) {
        let (stage, round) = round;
        let params = run.params;
        let eta = params.eta as f32;
        let key = params.seed
            ^ EBM_SALT
            ^ stage.wrapping_mul(GOLDEN)
            ^ splitmix64(self.index ^ round.wrapping_mul(GOLDEN));
        let mut rng = Rng::new(splitmix64(key));
        let labels = run.dtrain.labels().unwrap_or_default();
        for &(term, features) in terms {
            if self.stopped() {
                return;
            }
            let gpair = gradients(run, &self.margins, self.grown);
            self.grown += 1;
            let rows = self.tree_sample(params, labels, &mut rng);
            let seed = rng.next_u64();
            prepared.fill_approx_cache(run, &gpair);
            let mut tree = grow(run, prepared, &gpair, &rows, features, seed);
            tree.scale_leaves(eta);
            for (m, p) in self.margins.iter_mut().zip(tree_rows(&tree, run.dtrain)) {
                *m += p;
            }
            self.trees.push((term, tree));
            if let Some(scorer) = scorer {
                let score = self.score(run, scorer);
                if let Some(stopper) = &mut self.stopper {
                    stopper.observe(score, self.trees.len(), &self.margins);
                }
            }
        }
    }
}

/// Run up to `rounds` rounds of `terms` in every bag (the bags of a round
/// in parallel when allowed), reporting each round to `hook`, until the
/// hook stops or every bag has stopped early; then each bag keeps its best
/// trees.
fn cycle_bags(
    run: &TrainContext,
    prepared: &Prepared,
    bags: &mut [Bag],
    terms: &[Term],
    stage: (u64, usize),
    scorer: Option<&Scorer>,
    hook: &mut Hook,
) {
    let (stage, rounds) = stage;
    for bag in bags.iter_mut() {
        bag.start_stage(run, scorer, terms.len());
    }
    for round in 0..rounds as u64 {
        let f = |bag: &mut Bag| bag.cycle(run, prepared, terms, (stage, round), scorer);
        if parallel(run.params) && bags.len() > 1 {
            bags.par_iter_mut().for_each(f);
        } else {
            bags.iter_mut().for_each(f);
        }
        if !hook.next() || bags.iter().all(Bag::stopped) {
            break;
        }
    }
    for bag in bags.iter_mut() {
        bag.finish_stage();
    }
}

/// The classic EBM: cyclic main effects per bag, FAST on the bag-averaged
/// main effects, then cyclic pairs per bag; every tree scaled by `1/B`.
pub(super) fn classic(
    run: &TrainContext,
    prepared: &Prepared,
    mains: &[Vec<u32>],
    mu: f64,
    rounds: usize,
    metric: Option<&dyn Metric>,
    hook: &mut Hook,
) -> Result<Grown> {
    let params = run.params;
    let n = run.dtrain.n_rows();
    let n_bags = params.ebm_settings().outer_bags();
    let mut bags = (0..n_bags)
        .map(|b| Bag::new(run, b, mu))
        .collect::<Result<Vec<Bag>>>()?;
    let metric = metric.filter(|_| params.ebm_settings().early_stopping().is_some());
    let scorer = metric.map(|metric| Scorer {
        metric,
        sign: if metric.maximize() { -1.0 } else { 1.0 },
    });
    let main_terms: Vec<Term> = mains
        .iter()
        .enumerate()
        .map(|(t, f)| (t as u32, f.as_slice()))
        .collect();
    cycle_bags(
        run,
        prepared,
        &mut bags,
        &main_terms,
        (0, rounds),
        scorer.as_ref(),
        hook,
    );
    let mut main_trees: Vec<(u32, RegTree)> = Vec::new();
    for bag in &mut bags {
        main_trees.append(&mut bag.trees);
    }
    let mut pairs = Vec::new();
    if params.ebm_settings().interactions() > 0 && !hook.stopped {
        let inv = 1.0 / n_bags as f64;
        let averaged: Vec<f32> = (0..n)
            .map(|i| {
                let sum: f64 = bags.iter().map(|b| f64::from(b.margins[i]) - mu).sum();
                (mu + sum * inv) as f32
            })
            .collect();
        pairs = fast_pairs(
            run,
            &gradients(run, &averaged, rounds),
            params.ebm_settings().interactions(),
        );
        let pair_terms: Vec<Term> = pairs
            .iter()
            .enumerate()
            .map(|(k, f)| ((mains.len() + k) as u32, f.as_slice()))
            .collect();
        cycle_bags(
            run,
            prepared,
            &mut bags,
            &pair_terms,
            (1, rounds),
            scorer.as_ref(),
            hook,
        );
    }
    let mut trees = main_trees;
    for bag in &mut bags {
        trees.append(&mut bag.trees);
    }
    if n_bags > 1 {
        let inv = 1.0 / n_bags as f32;
        for (_, tree) in &mut trees {
            tree.scale_leaves(inv);
        }
    }
    Ok(Grown { trees, pairs })
}

#[cfg(test)]
mod tests {
    use super::query_sample;
    use crate::rng::Rng;

    /// With no query drawn, a tree still gets one whole query (its rows in
    /// the bag), never a lone row of a multi-row query.
    #[test]
    fn an_empty_query_draw_falls_back_to_a_whole_query() {
        // Queries 0 (rows 0..3), 1 (rows 3..10), 2 (rows 10..12); the bag
        // lacks row 4.
        let query_of = [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2];
        let pool: Vec<u32> = (0..12).filter(|&r| r != 4).collect();
        let row_queries: Vec<u32> = pool.iter().map(|&r| query_of[r as usize]).collect();
        let whole = |q: u32| -> Vec<u32> {
            pool.iter()
                .copied()
                .filter(|&r| query_of[r as usize] == q)
                .collect()
        };
        let mut seen = [false; 3];
        for seed in 0..64 {
            let rows = query_sample(&pool, &row_queries, 3, 1e-12, &mut Rng::new(seed));
            let q = query_of[rows[0] as usize];
            assert_eq!(rows, whole(q), "seed {seed}");
            seen[q as usize] = true;
        }
        assert_eq!(seen, [true; 3]);
    }
}