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| 1 | +# Copyright 2026 Hackable Diffusion Authors. |
| 2 | +# |
| 3 | +# Licensed under the Apache License, Version 2.0 (the "License"); |
| 4 | +# you may not use this file except in compliance with the License. |
| 5 | +# You may obtain a copy of the License at |
| 6 | +# |
| 7 | +# http://www.apache.org/licenses/LICENSE-2.0 |
| 8 | +# |
| 9 | +# Unless required by applicable law or agreed to in writing, software |
| 10 | +# distributed under the License is distributed on an "AS IS" BASIS, |
| 11 | +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| 12 | +# See the License for the specific language governing permissions and |
| 13 | +# limitations under the License. |
| 14 | + |
| 15 | +"""Autoregressive diffusion sampler. |
| 16 | +
|
| 17 | +This module implements an autoregressive generation loop where each generation |
| 18 | +step produces a fixed-length "canvas" of data via diffusion sampling. The canvas |
| 19 | +is then post-processed and integrated into the running sampler state. |
| 20 | +
|
| 21 | +The overall sampling flow is: |
| 22 | +
|
| 23 | + conditioning |
| 24 | + │ |
| 25 | + ▼ |
| 26 | + ┌─────────────────────┐ |
| 27 | + │ ARStateHandler │ |
| 28 | + │ .init_ar_state │──── Build initial state, |
| 29 | + └─────────────────────┘ |
| 30 | + │ |
| 31 | + (SamplerState, batch_size) |
| 32 | + │ |
| 33 | + ▼ |
| 34 | + ┌──────────────────────────────┐ |
| 35 | + │ AR Loop │ |
| 36 | + │ (up to max_num_canvases) │ |
| 37 | + │ │ |
| 38 | + │ ┌────────────────────────┐ │ |
| 39 | + │ │ EarlyStoppingFn │──┼──▶ break if done |
| 40 | + │ └────────────────────────┘ │ |
| 41 | + │ │ │ |
| 42 | + │ ▼ │ |
| 43 | + │ ┌────────────────────────┐ │ |
| 44 | + │ │ DiffusionProcess │ │ |
| 45 | + │ │ .sample_from_invariant│──┼──▶ initialize noisy canvas |
| 46 | + │ └────────────────────────┘ │ |
| 47 | + │ │ │ |
| 48 | + │ ▼ │ |
| 49 | + │ ┌────────────────────────┐ │ |
| 50 | + │ │ ARStateHandler │ │ |
| 51 | + │ │ .create_conditioning │──┼──▶ extract diffusion |
| 52 | + │ │ _from_state │ │ conditioning from state |
| 53 | + │ └────────────────────────┘ │ |
| 54 | + │ │ │ |
| 55 | + │ ▼ │ |
| 56 | + │ ┌────────────────────────┐ │ |
| 57 | + │ │ DiffusionSampler │ │ |
| 58 | + │ │ (canvas_sampler) │──┼──▶ denoise canvas via |
| 59 | + │ └────────────────────────┘ │ diffusion sampling |
| 60 | + │ │ │ |
| 61 | + │ ▼ │ |
| 62 | + │ ┌────────────────────────┐ │ |
| 63 | + │ │ ARStateHandler │ │ |
| 64 | + │ │ .update_ar_state │──┼──▶ update state |
| 65 | + │ └────────────────────────┘ │ |
| 66 | + │ │ │ |
| 67 | + │ └───────────┐ │ |
| 68 | + │ next │ │ |
| 69 | + │ canvas │ │ |
| 70 | + └──────────────────────────────┘ |
| 71 | + │ |
| 72 | + ▼ |
| 73 | + ┌─────────────────────┐ |
| 74 | + │ ARStateHandler │ |
| 75 | + │ .finalize_ar_state │──── Extract generated output |
| 76 | + └─────────────────────┘ |
| 77 | + │ |
| 78 | + ▼ |
| 79 | + output data |
| 80 | +
|
| 81 | +The architecture is model-agnostic: all model-specific logic is injected via |
| 82 | +the ``ARStateHandler`` base class, which encapsulates: |
| 83 | +
|
| 84 | + - ``init_ar_state``: Initializes the state. |
| 85 | + - ``update_ar_state``: Handles canvas post-processing and state bookkeeping |
| 86 | + after each canvas is sampled. |
| 87 | + - ``finalize_ar_state``: Extracts the final generated output from the state. |
| 88 | +
|
| 89 | +An ``EarlyStoppingFn`` Protocol controls when to terminate the AR loop early. |
| 90 | +
|
| 91 | +The AR loop uses ``jax.lax.while_loop`` and terminates when ``max_num_canvases`` |
| 92 | +is reached or an early stopping condition is met. |
| 93 | +""" |
| 94 | + |
| 95 | +from __future__ import annotations |
| 96 | + |
| 97 | +import dataclasses |
| 98 | +from typing import Any, Protocol |
| 99 | + |
| 100 | +from hackable_diffusion.lib import corruption |
| 101 | +from hackable_diffusion.lib import hd_typing |
| 102 | +from hackable_diffusion.lib import inference |
| 103 | +from hackable_diffusion.lib.sampling.sampling import DiffusionSampler |
| 104 | +import jax |
| 105 | +import jax.numpy as jnp |
| 106 | +import kauldron.ktyping as kt |
| 107 | +from kauldron.ktyping import Bool, PRNGKey |
| 108 | + |
| 109 | +################################################################################ |
| 110 | +# MARK: Type aliases |
| 111 | +################################################################################ |
| 112 | + |
| 113 | +SamplerState = dict[str, Any] |
| 114 | +DataArray = hd_typing.DataArray |
| 115 | +Conditioning = hd_typing.Conditioning |
| 116 | +InferenceFn = inference.InferenceFn |
| 117 | + |
| 118 | +################################################################################ |
| 119 | +# MARK: ARStateHandler |
| 120 | +################################################################################ |
| 121 | + |
| 122 | + |
| 123 | +class ARStateHandler(Protocol): |
| 124 | + """Manages the sampler state lifecycle during AR sampling. |
| 125 | +
|
| 126 | + Subclass this to inject model-specific logic for initializing, |
| 127 | + updating, and finalizing the autoregressive sampler state. |
| 128 | +
|
| 129 | + Methods: |
| 130 | + init_ar_state: Creates the initial state from conditioning. |
| 131 | + update_ar_state: Post-processes a sampled canvas and updates the state |
| 132 | + (i.e. update KV cache for LLMs). |
| 133 | + finalize_ar_state: Extracts the final generated output from the |
| 134 | + state. |
| 135 | + create_conditioning_from_state: Extracts the subset of sampler |
| 136 | + state needed as conditioning for the diffusion sampler. |
| 137 | + """ |
| 138 | + |
| 139 | + def init_ar_state( |
| 140 | + self, |
| 141 | + *, |
| 142 | + batch_size: int, |
| 143 | + conditioning: Conditioning, |
| 144 | + canvas_length: int, |
| 145 | + max_num_canvases: int, |
| 146 | + ) -> SamplerState: |
| 147 | + ... |
| 148 | + |
| 149 | + def update_ar_state( |
| 150 | + self, |
| 151 | + canvas: DataArray, |
| 152 | + sampler_state: SamplerState, |
| 153 | + ) -> SamplerState: |
| 154 | + ... |
| 155 | + |
| 156 | + def finalize_ar_state( |
| 157 | + self, |
| 158 | + sampler_state: SamplerState, |
| 159 | + ) -> DataArray: |
| 160 | + ... |
| 161 | + |
| 162 | + def create_conditioning_from_state( |
| 163 | + self, |
| 164 | + sampler_state: SamplerState, |
| 165 | + ) -> Conditioning: |
| 166 | + ... |
| 167 | + |
| 168 | + |
| 169 | +################################################################################ |
| 170 | +# MARK: EarlyStoppingFn |
| 171 | +################################################################################ |
| 172 | + |
| 173 | + |
| 174 | +class EarlyStoppingFn(Protocol): |
| 175 | + """Determines whether to terminate the AR loop early. |
| 176 | +
|
| 177 | + The function receives the full sampler state and must return a JAX |
| 178 | + boolean *scalar* (``True`` → stop). The canonical implementation |
| 179 | + checks ``jnp.all(sampler_state['done'])`` where ``done`` is a |
| 180 | + per-batch-element boolean array. |
| 181 | + """ |
| 182 | + |
| 183 | + def __call__(self, sampler_state: SamplerState) -> Bool['']: |
| 184 | + """Returns true when the AR loop should terminate.""" |
| 185 | + |
| 186 | + |
| 187 | +class DoneEarlyStoppingFn(EarlyStoppingFn): |
| 188 | + """Stops when every batch element is done.""" |
| 189 | + |
| 190 | + def __call__(self, sampler_state: SamplerState) -> Bool['']: |
| 191 | + if 'done' not in sampler_state: |
| 192 | + raise ValueError( |
| 193 | + 'DoneEarlyStoppingFn requires sampler_state["done"] to be set.' |
| 194 | + ) |
| 195 | + return jnp.all(sampler_state['done']) |
| 196 | + |
| 197 | + |
| 198 | +################################################################################ |
| 199 | +# MARK: Sampler |
| 200 | +################################################################################ |
| 201 | + |
| 202 | + |
| 203 | +@dataclasses.dataclass(kw_only=True, frozen=True) |
| 204 | +class AutoregressiveDiffusionSampler: |
| 205 | + """Generates data by autoregressively sampling fixed-length canvases. |
| 206 | +
|
| 207 | + Each iteration of the generation loop: |
| 208 | + 1. Samples a canvas of ``canvas_length`` elements via diffusion. |
| 209 | + 2. Passes the canvas to ``state_handler.update_ar_state`` for |
| 210 | + post-processing and state bookkeeping. |
| 211 | + 3. Checks EarlyStoppingFn to decide whether to stop. |
| 212 | +
|
| 213 | + After the loop, ``state_handler.finalize_ar_state`` extracts the final |
| 214 | + generated output. |
| 215 | +
|
| 216 | + The loop is implemented via ``jax.lax.while_loop`` for JIT compatibility. |
| 217 | +
|
| 218 | + Attributes: |
| 219 | + canvas_sampler: Diffusion sampler that denoises a single canvas. |
| 220 | + diffusion_process: Noise process used to initialize canvases. |
| 221 | + canvas_length: Number of elements per canvas. |
| 222 | + max_num_canvases: Maximum number of canvases to generate. |
| 223 | + state_handler: Manages the AR state lifecycle (init, update, finalize). |
| 224 | + early_stopping_fn: Determines whether to terminate the AR loop early. |
| 225 | + data_dtype: Data type of the generated output. |
| 226 | + data_shape: Additional dimensions of the generated output (e.g., spatial |
| 227 | + dimensions for images). |
| 228 | + """ |
| 229 | + |
| 230 | + canvas_sampler: DiffusionSampler |
| 231 | + diffusion_process: corruption.CategoricalProcess |
| 232 | + canvas_length: int |
| 233 | + max_num_canvases: int |
| 234 | + state_handler: ARStateHandler |
| 235 | + data_dtype: jnp.dtype |
| 236 | + data_shape: tuple[int, ...] |
| 237 | + early_stopping_fn: EarlyStoppingFn = DoneEarlyStoppingFn() |
| 238 | + |
| 239 | + @kt.typechecked |
| 240 | + def __call__( |
| 241 | + self, |
| 242 | + diffusion_inference_fn: inference.InferenceFn, |
| 243 | + batch_size: int, |
| 244 | + rng: PRNGKey, |
| 245 | + conditioning: Conditioning, |
| 246 | + ) -> tuple[DataArray, SamplerState]: |
| 247 | + """Generates data autoregressively via discrete diffusion. |
| 248 | +
|
| 249 | + Uses ``jax.lax.while_loop`` for JIT compatibility with true early |
| 250 | + stopping. |
| 251 | +
|
| 252 | + Args: |
| 253 | + diffusion_inference_fn: Model inference function called during diffusion |
| 254 | + sampling. |
| 255 | + batch_size: Batch size of the generation. |
| 256 | + rng: JAX PRNG key, split per canvas for reproducibility. |
| 257 | + conditioning: Conditioning for the generation (e.g., text prompts, images, |
| 258 | + or any modality-specific inputs). |
| 259 | +
|
| 260 | + Returns: |
| 261 | + A tuple of (generated output, final sampler state). |
| 262 | + """ |
| 263 | + |
| 264 | + sampler_state = self.state_handler.init_ar_state( |
| 265 | + batch_size=batch_size, |
| 266 | + conditioning=conditioning, |
| 267 | + canvas_length=self.canvas_length, |
| 268 | + max_num_canvases=self.max_num_canvases, |
| 269 | + ) |
| 270 | + |
| 271 | + # Carry: (sampler_state, rng, step_counter) |
| 272 | + init_carry = (sampler_state, rng, jnp.int32(0)) |
| 273 | + |
| 274 | + def _cond_fn(carry): |
| 275 | + sampler_state, _, step = carry |
| 276 | + should_stop = self.early_stopping_fn(sampler_state) |
| 277 | + should_continue = ~should_stop |
| 278 | + less_than_max_canvases = step < self.max_num_canvases |
| 279 | + return should_continue & less_than_max_canvases |
| 280 | + |
| 281 | + def _body_fn(carry): |
| 282 | + sampler_state, rng, step = carry |
| 283 | + |
| 284 | + # Propagate random number generator. |
| 285 | + rng, canvas_init_rng, canvas_sampler_rng = jax.random.split(rng, 3) |
| 286 | + |
| 287 | + # Create new canvas. |
| 288 | + initial_canvas = self.diffusion_process.sample_from_invariant( |
| 289 | + key=canvas_init_rng, |
| 290 | + data_spec=jnp.zeros( |
| 291 | + ( |
| 292 | + batch_size, |
| 293 | + self.canvas_length, |
| 294 | + ) |
| 295 | + + self.data_shape, |
| 296 | + dtype=self.data_dtype, |
| 297 | + ), |
| 298 | + ) |
| 299 | + |
| 300 | + # Sample canvas via diffusion. |
| 301 | + # TODO: Implement returning the whole sampling trajectory. |
| 302 | + last_step, _ = self.canvas_sampler( |
| 303 | + inference_fn=diffusion_inference_fn, |
| 304 | + rng=canvas_sampler_rng, |
| 305 | + initial_noise=initial_canvas, |
| 306 | + conditioning=self.state_handler.create_conditioning_from_state( |
| 307 | + sampler_state=sampler_state |
| 308 | + ), |
| 309 | + ) |
| 310 | + sampled_canvas = last_step.xt |
| 311 | + |
| 312 | + # Post-process canvas and update sampler state. |
| 313 | + sampler_state = self.state_handler.update_ar_state( |
| 314 | + canvas=sampled_canvas, sampler_state=sampler_state |
| 315 | + ) |
| 316 | + |
| 317 | + return (sampler_state, rng, step + 1) |
| 318 | + |
| 319 | + sampler_state, _, _ = jax.lax.while_loop(_cond_fn, _body_fn, init_carry) |
| 320 | + |
| 321 | + # Read-out the final output. |
| 322 | + output = self.state_handler.finalize_ar_state(sampler_state=sampler_state) |
| 323 | + return output, sampler_state |
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