File size: 13,839 Bytes
5ccb4fd
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
# Copyright (c) 2026 Simulacra Research Inc.
# SPDX-License-Identifier: Apache-2.0

from __future__ import annotations

from typing import Any, Callable, NamedTuple

import equinox as eqx
import jax
import jax.numpy as jnp
import kfac_jax

from hamiltonzero.optim import compat as _kfac_compat
from hamiltonzero.optim import spin_blocks as _spin_blocks
from hamiltonzero.optim.blocks import (
    make_graph_patterns,
)


_GRAPH_PATTERNS = make_graph_patterns()
_FISHER_SIGN_STREAM = 1262895427
_FISHER_CHANNELS = 3
_ROUTE_SAMPLES = 8


class KFACBundle(NamedTuple):
    optimizer: Any
    loss_fn: Callable
    state: Any


def _make_fisher_signs(key, q_cold):
    sign_key = jax.random.fold_in(key, _FISHER_SIGN_STREAM)
    signs = jax.random.rademacher(
        sign_key,
        q_cold.shape[:2] + (_FISHER_CHANNELS,),
        dtype=q_cold.dtype,
    )
    q_sharding = getattr(q_cold, "sharding", None)
    if isinstance(q_sharding, jax.sharding.NamedSharding):
        q_spec = tuple(q_sharding.spec)
        sharding = jax.sharding.NamedSharding(
            q_sharding.mesh,
            jax.sharding.PartitionSpec(*q_spec[:2], None),
        )
        signs = jax.device_put(signs, sharding)
    elif isinstance(q_sharding, jax.sharding.SingleDeviceSharding):
        signs = jax.device_put(signs, q_sharding)
    return signs


def _signed_identity(value, signs):
    stopped = jax.lax.stop_gradient(value)
    return stopped + signs.astype(value.dtype) * (value - stopped)


def _register_fisher_output(value, signs):
    kfac_jax.register_normal_predictive_distribution(
        _signed_identity(value, signs).reshape(-1, 1)
    )


def _center_preprocessed_energy(energy, pmap_axis_name):
    if pmap_axis_name is None:
        energy_sum = jnp.sum(energy, axis=1)
        count = jnp.asarray(energy.shape[1], dtype=energy.real.dtype)
    else:
        from kfac_jax._src.utils import parallel as kfac_parallel

        energy_sum = kfac_parallel.psum_if_pmap(
            jnp.sum(energy, axis=1),
            pmap_axis_name,
        )
        count = kfac_parallel.psum_if_pmap(
            jnp.asarray(energy.shape[1], dtype=energy.real.dtype),
            pmap_axis_name,
        )
    mean = energy_sum / jnp.maximum(count, 1.0)
    delta = energy - mean[:, None]
    return jax.lax.stop_gradient(delta), mean


def _router_loss(apply_fn, route_loss_weight: float):
    def apply_walkers(params, q_cold, context, t, tau):
        systems, walkers = q_cold.shape[:2]
        if systems == 1:
            context_single = jax.tree.map(
                lambda x: x[0] if isinstance(x, jnp.ndarray) and x.ndim > 0 else x,
                context,
            )
            re, im, route_logp = jax.vmap(
                lambda p, q, time: apply_fn(
                    p,
                    q,
                    context_single,
                    time,
                    tau,
                ),
                in_axes=(None, 0, None),
            )(params, q_cold[0], t)
            return (
                re.reshape(1, walkers),
                im.reshape(1, walkers),
                route_logp.reshape(1, walkers),
            )

        def apply_system(params_value, context_value, q_value, t_value):
            return jax.vmap(
                lambda p, q, time: apply_fn(
                    p,
                    q,
                    context_value,
                    time,
                    tau,
                ),
                in_axes=(None, 0, None),
            )(params_value, q_value, t_value)

        return jax.vmap(
            apply_system,
            in_axes=(None, 0, 0, None),
        )(params, context, q_cold, t)

    @jax.custom_jvp
    def total_energy(params, batch):
        _q, energy, _context, _t, _tau, _advantage, _signs = batch
        _delta, mean = _center_preprocessed_energy(energy, None)
        return jnp.mean(mean.real)

    @total_energy.defjvp
    def total_energy_jvp(primals, tangents):
        params, batch = primals
        params_t, _batch_t = tangents
        q_cold, energy, context, t, tau, advantage, fisher_signs = batch
        (re, im, route_logp), (tan_re, tan_im, tan_route_logp) = jax.jvp(
            lambda p: apply_walkers(p, q_cold, context, t, tau),
            (params,),
            (params_t,),
        )
        _register_fisher_output(re, fisher_signs[..., 0])
        _register_fisher_output(im, fisher_signs[..., 1])
        _register_fisher_output(route_logp, fisher_signs[..., 2])
        delta, mean = _center_preprocessed_energy(energy, None)
        real_num = jnp.sum(tan_re * delta.real)
        imag_num = jnp.sum(tan_im * delta.imag)
        n_eff = jnp.maximum(
            jnp.sum(jnp.abs(delta) > 0).astype(tan_re.dtype),
            1.0,
        )
        loss_tangent = 2.0 * (real_num + imag_num) / n_eff
        advantage = jax.lax.stop_gradient(advantage.reshape((-1,)))
        route_tangent = jnp.mean(
            advantage * jnp.mean(tan_route_logp, axis=1).reshape((-1,))
        )
        loss_tangent = (
            loss_tangent
            + jnp.asarray(
                route_loss_weight,
                dtype=loss_tangent.dtype,
            )
            * route_tangent
        )
        return jnp.mean(mean.real), loss_tangent

    return total_energy


def _finetune_loss(apply_fn, pmap_axis_name):
    def apply_walkers(params, q_cold, context, t):
        context = jax.tree.map(
            lambda x: x[0] if isinstance(x, jnp.ndarray) and x.ndim > 0 else x,
            context,
        )
        re, im = jax.vmap(
            lambda p, q, time: apply_fn(p, q, context, time),
            in_axes=(None, 0, None),
        )(params, q_cold[0], t)
        batch_size = q_cold.shape[1]
        return re.reshape(1, batch_size), im.reshape(1, batch_size)

    @jax.custom_jvp
    def total_energy(params, batch):
        _q, energy, _context, _t, _signs = batch
        _delta, mean = _center_preprocessed_energy(
            energy,
            pmap_axis_name,
        )
        return jnp.mean(mean.real)

    @total_energy.defjvp
    def total_energy_jvp(primals, tangents):
        params, batch = primals
        params_t, _batch_t = tangents
        q_cold, energy, context, t, fisher_signs = batch
        (re, im), (tan_re, tan_im) = jax.jvp(
            lambda p: apply_walkers(p, q_cold, context, t),
            (params,),
            (params_t,),
        )
        _register_fisher_output(re, fisher_signs[..., 0])
        _register_fisher_output(im, fisher_signs[..., 1])
        delta, mean = _center_preprocessed_energy(energy, pmap_axis_name)
        local_real_num = jnp.sum(tan_re * delta.real)
        local_imag_num = jnp.sum(tan_im * delta.imag)
        local_n_eff = jnp.sum(jnp.abs(delta) > 0).astype(tan_re.dtype)
        if pmap_axis_name is None:
            real_num = local_real_num
            imag_num = local_imag_num
            n_eff = local_n_eff
        else:
            from kfac_jax._src.utils import parallel as kfac_parallel

            real_num = kfac_parallel.psum_if_pmap(
                local_real_num,
                pmap_axis_name,
            )
            imag_num = kfac_parallel.psum_if_pmap(
                local_imag_num,
                pmap_axis_name,
            )
            n_eff = kfac_parallel.psum_if_pmap(
                local_n_eff,
                pmap_axis_name,
            )
        loss_tangent = 2.0 * (real_num + imag_num) / jnp.maximum(n_eff, 1.0)
        return jnp.mean(mean.real), loss_tangent

    return total_energy


def _configure_kfac():
    kfac_jax.utils.set_use_cholesky_inversion(True)


def _new_optimizer(config, loss_fn, *, multi_device: bool, axis_name):
    _configure_kfac()
    return kfac_jax.Optimizer(
        jax.value_and_grad(loss_fn),
        learning_rate_schedule=None,
        damping_schedule=None,
        norm_constraint=float(config.norm_constraint),
        multi_device=multi_device,
        pmap_axis_name=axis_name if multi_device else None,
        value_func_has_aux=False,
        value_func_has_rng=False,
        register_only_generic=False,
        auto_register_kwargs={
            "graph_patterns": _GRAPH_PATTERNS,
            "allow_multiple_registrations": True,
        },
        include_norms_in_stats=False,
        estimation_mode="fisher_exact",
        share_curvature_and_grad_forward=False,
        num_burnin_steps=0,
        batch_size_extractor=lambda batch, *_: batch[0].shape[0] * batch[0].shape[1],
        min_damping=float(config.minimum_damping),
        inverse_update_period=int(config.inverse_update_period),
        curvature_update_period=int(config.curvature_update_period),
        curvature_ema=float(config.curvature_ema),
        l2_reg=float(config.l2_regularization),
    )


def _partition(model):
    return eqx.partition(model, jax.tree.map(eqx.is_inexact_array, model))


def _assert_no_naive_full(optimizer, state):
    blocks = list(enumerate(getattr(state, "blocks_states", []) or []))
    if not blocks:
        try:
            blocks = list(enumerate(optimizer._estimator.blocks))
        except AttributeError:
            blocks = []
    bad = []
    for index, block in blocks:
        name = type(block).__name__
        if "NaiveFull" in name:
            bad.append((index, name, getattr(block, "parameters_shapes", None)))
    if bad:
        details = "; ".join(
            f"block[{index}] {name} shapes={shapes}" for index, name, shapes in bad
        )
        raise RuntimeError(f"KFAC produced unsupported NaiveFull blocks: {details}")


def _router_initial_advantage(energy):
    rewards = jnp.mean(energy.real, axis=1)
    grouped = rewards.reshape((-1, _ROUTE_SAMPLES))
    centered = grouped - jnp.mean(grouped, axis=1, keepdims=True)
    return jax.lax.stop_gradient(
        (float(_ROUTE_SAMPLES) / float(_ROUTE_SAMPLES - 1) * centered).reshape((-1,))
    )


def init_router_kfac_state(
    config,
    model,
    q_cold,
    energy,
    context,
    *,
    t: float,
    key,
    multi_device: bool,
    route_tau,
    route_loss_weight: float,
):
    params, static = _partition(model)

    def apply_fn(params_value, q, context_value, t_value, tau_value):
        combined = eqx.combine(params_value, static)
        return combined.call_with_route_logprob(
            q,
            context_value,
            t_value,
            tau=tau_value,
        )

    loss_fn = _router_loss(apply_fn, route_loss_weight)
    optimizer = _new_optimizer(
        config,
        loss_fn,
        multi_device=multi_device,
        axis_name="systems",
    )
    fisher_signs = _make_fisher_signs(key, q_cold)
    batch = (
        q_cold,
        energy,
        context,
        jnp.asarray(t, dtype=q_cold.dtype),
        jnp.asarray(route_tau, dtype=q_cold.dtype),
        _router_initial_advantage(energy),
        fisher_signs,
    )
    _configure_kfac()
    state = optimizer.init(params, key, batch)
    _assert_no_naive_full(optimizer, state)
    return KFACBundle(optimizer=optimizer, loss_fn=loss_fn, state=state)


def init_finetune_kfac_state(
    config,
    model,
    q_cold,
    energy,
    context,
    *,
    t: float,
    key,
    multi_device: bool,
):
    params, static = _partition(model)

    def apply_fn(params_value, q, context_value, t_value):
        combined = eqx.combine(params_value, static)
        return combined.call_tagged(q, context_value, t_value)

    loss_axis = "batch" if multi_device else None
    loss_fn = _finetune_loss(apply_fn, loss_axis)
    optimizer = _new_optimizer(
        config,
        loss_fn,
        multi_device=multi_device,
        axis_name="batch",
    )
    fisher_signs = _make_fisher_signs(key, q_cold)
    batch = (
        q_cold,
        energy,
        context,
        jnp.asarray(t, dtype=q_cold.dtype),
        fisher_signs,
    )
    _configure_kfac()
    state = optimizer.init(params, key, batch)
    _assert_no_naive_full(optimizer, state)
    return KFACBundle(optimizer=optimizer, loss_fn=loss_fn, state=state)


def apply_router_kfac_step(
    bundle,
    model,
    q_cold,
    energy,
    context,
    *,
    t: float,
    key,
    momentum,
    learning_rate,
    damping,
    route_advantage,
    route_tau,
):
    _configure_kfac()
    params, static = _partition(model)
    batch = (
        q_cold,
        energy,
        context,
        jnp.asarray(t, dtype=q_cold.dtype),
        jnp.asarray(route_tau, dtype=q_cold.dtype),
        route_advantage,
        _make_fisher_signs(key, q_cold),
    )
    new_params, state, _stats = bundle.optimizer.step(
        params,
        bundle.state,
        key,
        batch=batch,
        momentum=jnp.asarray(momentum, dtype=jnp.float32),
        learning_rate=jnp.asarray(learning_rate, dtype=jnp.float32),
        damping=jnp.asarray(damping, dtype=jnp.float32),
    )
    return eqx.combine(new_params, static), bundle._replace(state=state)


def apply_finetune_kfac_step(
    bundle,
    model,
    q_cold,
    energy,
    context,
    *,
    t: float,
    key,
    momentum,
    learning_rate,
    damping,
):
    _configure_kfac()
    params, static = _partition(model)
    batch = (
        q_cold,
        energy,
        context,
        jnp.asarray(t, dtype=q_cold.dtype),
        _make_fisher_signs(key, q_cold),
    )
    new_params, state, _stats = bundle.optimizer.step(
        params,
        bundle.state,
        key,
        batch=batch,
        momentum=jnp.asarray(momentum, dtype=jnp.float32),
        learning_rate=jnp.asarray(learning_rate, dtype=jnp.float32),
        damping=jnp.asarray(damping, dtype=jnp.float32),
    )
    return eqx.combine(new_params, static), bundle._replace(state=state)


__all__ = [
    "KFACBundle",
    "apply_finetune_kfac_step",
    "apply_router_kfac_step",
    "init_finetune_kfac_state",
    "init_router_kfac_state",
]