File size: 20,493 Bytes
d443994
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
8b5917a
 
 
 
 
 
 
 
 
 
 
 
 
d443994
 
 
 
 
 
 
 
8b5917a
 
d443994
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
8b5917a
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
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
"""HuggingFace model implementation for LangFlow.

LangFlow is a continuous diffusion language model that operates in embedding space.
"""

import math
import typing

import einops
import torch
import torch.nn as nn
import torch.nn.functional as F
import transformers

from .config import LangFlowConfig


# Flags required to enable jit fusion kernels
torch._C._jit_set_profiling_mode(False)
torch._C._jit_set_profiling_executor(False)
torch._C._jit_override_can_fuse_on_cpu(True)
torch._C._jit_override_can_fuse_on_gpu(True)


def bias_dropout_add_scale(
    x: torch.Tensor,
    bias: typing.Optional[torch.Tensor],
    scale: torch.Tensor,
    residual: typing.Optional[torch.Tensor],
    prob: float,
    training: bool) -> torch.Tensor:
    if bias is not None:
        out = scale * F.dropout(x + bias, p=prob, training=training)
    else:
        out = scale * F.dropout(x, p=prob, training=training)

    if residual is not None:
        out = residual + out
    return out


@torch.jit.script
def bias_dropout_add_scale_fused_train(
    x: torch.Tensor,
    bias: typing.Optional[torch.Tensor],
    scale: torch.Tensor,
    residual: typing.Optional[torch.Tensor],
    prob: float) -> torch.Tensor:
    return bias_dropout_add_scale(x, bias, scale, residual, prob, True)


@torch.jit.script
def bias_dropout_add_scale_fused_inference(
    x: torch.Tensor,
    bias: typing.Optional[torch.Tensor],
    scale: torch.Tensor,
    residual: typing.Optional[torch.Tensor],
    prob: float) -> torch.Tensor:
    return bias_dropout_add_scale(x, bias, scale, residual, prob, False)


@torch.jit.script
def modulate_fused(x: torch.Tensor,
                   shift: torch.Tensor,
                   scale: torch.Tensor) -> torch.Tensor:
    return x * (1 + scale) + shift


class Rotary(nn.Module):
    def __init__(self, dim, base=10_000):
        super().__init__()
        inv_freq = 1.0 / (base ** (torch.arange(0, dim, 2).float() / dim))
        self.register_buffer('inv_freq', inv_freq)
        self.seq_len_cached = None
        self.cos_cached = None
        self.sin_cached = None

    def forward(self, x, seq_dim=1):
        seq_len = x.shape[seq_dim]
        if seq_len != self.seq_len_cached:
            self.seq_len_cached = seq_len
            t = torch.arange(x.shape[seq_dim], device=x.device).type_as(self.inv_freq)
            freqs = torch.einsum("i,j->ij", t, self.inv_freq.clone())
            emb = torch.cat((freqs, freqs), dim=-1).to(x.device)
            self.cos_cached = emb.cos()[None, :, None, None, :].repeat(1, 1, 3, 1, 1)
            self.sin_cached = emb.sin()[None, :, None, None, :].repeat(1, 1, 3, 1, 1)
            self.cos_cached[:, :, 2, :, :].fill_(1.)
            self.sin_cached[:, :, 2, :, :].fill_(0.)
        return self.cos_cached, self.sin_cached


def _apply_rotary_emb(x, cos, sin):
    # x: [batch, seqlen, nheads, headdim]
    # cos, sin: [seqlen, headdim//2]
    ro_dim = cos.shape[-1] * 2
    # Expand to [1, seqlen, 1, ro_dim] for broadcasting
    cos = torch.cat([cos, cos], dim=-1)[None, :, None, :]
    sin = torch.cat([sin, sin], dim=-1)[None, :, None, :]
    x_rot = x[..., :ro_dim]
    x1, x2 = x_rot.chunk(2, dim=-1)
    x_rotated = torch.cat([-x2, x1], dim=-1)
    return torch.cat([x_rot * cos + x_rotated * sin, x[..., ro_dim:]], dim=-1)


def split_and_apply_rotary_pos_emb(qkv, rotary_cos_sin):
    with torch.autocast(device_type='cuda', enabled=False):
        cos, sin = rotary_cos_sin
        cos = cos.to(qkv.dtype)
        sin = sin.to(qkv.dtype)
        cos = cos[0, :, 0, 0, :cos.shape[-1]//2]
        sin = sin[0, :, 0, 0, :sin.shape[-1]//2]
        q, k, v = qkv.chunk(3, dim=2)
        q = _apply_rotary_emb(q.squeeze(dim=2), cos, sin)
        k = _apply_rotary_emb(k.squeeze(dim=2), cos, sin)
        v = v.squeeze(dim=2)
    return q, k, v


def regular_attention_multi_headed(q, k, v):
    attention_output = F.scaled_dot_product_attention(
        query=q.transpose(1, 2),
        key=k.transpose(1, 2),
        value=v.transpose(1, 2),
        attn_mask=None,
        dropout_p=0.0,
        is_causal=False)
    attention_output = attention_output.transpose(1, 2)
    return einops.rearrange(attention_output, 'b s h d -> b s (h d)')


class LayerNorm(nn.Module):
    def __init__(self, dim):
        super().__init__()
        self.weight = nn.Parameter(torch.ones([dim]))
        self.dim = dim

    def forward(self, x):
        with torch.autocast(device_type='cuda', enabled=False):
            x = F.layer_norm(x.float(), [self.dim])
        return x * self.weight[None, None, :]


class TimestepEmbedder(nn.Module):
    """Embeds scalar timesteps into vector representations."""
    
    def __init__(self, hidden_size, frequency_embedding_size=256):
        super().__init__()
        self.mlp = nn.Sequential(
            nn.Linear(frequency_embedding_size, hidden_size, bias=True),
            nn.SiLU(),
            nn.Linear(hidden_size, hidden_size, bias=True))
        self.frequency_embedding_size = frequency_embedding_size

    @staticmethod
    def timestep_embedding(t, dim, max_period=10000):
        half = dim // 2
        freqs = torch.exp(
            -math.log(max_period)
            * torch.arange(start=0, end=half, dtype=torch.float32, device=t.device)
            / half)
        args = t[:, None].float() * freqs[None]
        embedding = torch.cat([torch.cos(args), torch.sin(args)], dim=-1)
        if dim % 2:
            embedding = torch.cat(
                [embedding, torch.zeros_like(embedding[:, :1])], dim=-1)
        return embedding

    def forward(self, t):
        t_freq = self.timestep_embedding(t, self.frequency_embedding_size)
        t_emb = self.mlp(t_freq)
        return t_emb


class DDiTBlock(nn.Module):
    def __init__(self, dim, n_heads, cond_dim, mlp_ratio=4, dropout=0.1):
        super().__init__()
        self.n_heads = n_heads

        self.norm1 = LayerNorm(dim)
        self.attn_qkv = nn.Linear(dim, 3 * dim, bias=False)
        self.attn_out = nn.Linear(dim, dim, bias=False)

        self.norm2 = LayerNorm(dim)
        self.mlp = nn.Sequential(
            nn.Linear(dim, mlp_ratio * dim, bias=True),
            nn.GELU(approximate='tanh'),
            nn.Linear(mlp_ratio * dim, dim, bias=True))
        self.dropout = dropout

        self.adaLN_modulation = nn.Linear(cond_dim, 6 * dim)
        self.adaLN_modulation.weight.data.zero_()
        self.adaLN_modulation.bias.data.zero_()

    def _get_bias_dropout_scale(self):
        if self.training:
            return bias_dropout_add_scale_fused_train
        else:
            return bias_dropout_add_scale_fused_inference

    def forward(self, x, rotary_cos_sin, c):
        bias_dropout_scale_fn = self._get_bias_dropout_scale()

        x_skip = x
        x = self.norm1(x)

        (shift_msa, scale_msa, gate_msa, shift_mlp,
         scale_mlp, gate_mlp) = self.adaLN_modulation(c)[:, None].chunk(6, dim=2)
        x = modulate_fused(x, shift_msa, scale_msa)

        qkv = einops.rearrange(
            self.attn_qkv(x),
            'b s (three h d) -> b s three h d',
            three=3,
            h=self.n_heads)
        q, k, v = split_and_apply_rotary_pos_emb(qkv, rotary_cos_sin)
        x = regular_attention_multi_headed(q, k, v)

        x = bias_dropout_scale_fn(self.attn_out(x), None, gate_msa, x_skip, self.dropout)
        x = bias_dropout_scale_fn(
            self.mlp(modulate_fused(self.norm2(x), shift_mlp, scale_mlp)),
            None, gate_mlp, x, self.dropout)
        return x


def _normalize_embedding_layernorm(weight: torch.Tensor) -> torch.Tensor:
    """Normalize embedding weights to unit norm per row, then scale by sqrt(dim)."""
    normalized = F.normalize(weight.float(), dim=-1)
    return (normalized * math.sqrt(weight.shape[-1])).to(weight.dtype)


class EmbeddingLayer(nn.Module):
    """Embedding layer with optional layernorm normalization."""
    
    def __init__(self, dim, vocab_dim, use_normalized_embedding=True):
        super().__init__()
        self.dim = dim
        self.vocab_dim = vocab_dim
        self.use_normalized_embedding = use_normalized_embedding
        self.embedding = nn.Parameter(torch.empty((vocab_dim, dim)))
        nn.init.kaiming_uniform_(self.embedding, a=math.sqrt(5))

    def _get_embedding(self):
        if self.use_normalized_embedding:
            return _normalize_embedding_layernorm(self.embedding)
        return self.embedding

    def forward(self, x):
        embedding = self._get_embedding()
        if x.ndim == 2:
            return embedding[x]
        assert x.ndim == 3  # probabilities
        return torch.einsum("blv,ve->ble", x.float(), embedding.float()).to(x.dtype)


class DDiTFinalLayer(nn.Module):
    def __init__(self, hidden_size, out_channels, cond_dim):
        super().__init__()
        self.norm_final = LayerNorm(hidden_size)
        self.linear = nn.Linear(hidden_size, out_channels)
        self.linear.weight.data.zero_()
        self.linear.bias.data.zero_()
        self.adaLN_modulation = nn.Linear(cond_dim, 2 * hidden_size, bias=True)
        self.adaLN_modulation.weight.data.zero_()
        self.adaLN_modulation.bias.data.zero_()

    def forward(self, x, c):
        x = self.norm_final(x)
        shift, scale = self.adaLN_modulation(c)[:, None].chunk(2, dim=2)
        x = modulate_fused(x, shift, scale)
        x = self.linear(x)
        return x


class GumbelProposal(nn.Module):
    """Learnable Gumbel distribution proposal for sampling gamma (log-SNR)."""
    
    def __init__(self, loc: float = 4.723, scale: float = 0.852, 
                 cutoff: float = 1e-5, entropy: float = 7.02):
        super().__init__()
        self.loc = nn.Parameter(torch.tensor(loc))
        self.scale = nn.Parameter(torch.tensor(scale))
        self.cutoff = cutoff
        self.entropy = nn.Parameter(torch.tensor(entropy))

    def _get_distribution(self) -> torch.distributions.Gumbel:
        return torch.distributions.Gumbel(self.loc, self.scale)

    @property
    def gamma_min(self) -> float:
        return float(self.loc - math.log(-math.log(self.cutoff)) * self.scale)

    @property
    def gamma_max(self) -> float:
        return float(self.loc - math.log(self.cutoff) * self.scale)

    def forward(self, q: torch.Tensor) -> torch.Tensor:
        """Convert uniform samples to gamma values via inverse CDF."""
        gamma = self._get_distribution().icdf(q)
        return gamma.clamp(min=self.gamma_min, max=self.gamma_max)

    def log_pdf(self, gamma: torch.Tensor) -> torch.Tensor:
        """Compute log probability density at gamma."""
        return self._get_distribution().log_prob(gamma)


class LangFlowBackbone(nn.Module):
    """DiT backbone for LangFlow."""
    
    def __init__(self, config: LangFlowConfig):
        super().__init__()
        self.config = config
        dim = config.hidden_size
        cond_dim = config.cond_dim

        self.vocab_embed = EmbeddingLayer(
            dim, config.vocab_size,
            use_normalized_embedding=config.use_normalized_embedding)
        self.sigma_map = TimestepEmbedder(cond_dim)
        self.rotary_emb = Rotary(dim // config.n_heads)

        self.blocks = nn.ModuleList([
            DDiTBlock(dim=dim, n_heads=config.n_heads, cond_dim=cond_dim, dropout=config.dropout)
            for _ in range(config.n_blocks)
        ])

        self.output_layer = DDiTFinalLayer(
            hidden_size=dim, out_channels=config.vocab_size, cond_dim=cond_dim)

        # Self-conditioning projection
        if config.self_conditioning:
            self.self_cond_proj = nn.Linear(dim * 2, dim, bias=False)
            nn.init.zeros_(self.self_cond_proj.weight)

    def forward(self, x_embed, sigma, x_self_cond=None, output_hidden_states=False):
        """Forward pass from embeddings.
        
        Args:
            x_embed: [B, L, D] - Input embeddings (possibly noisy)
            sigma: [B] - Gamma values (log-SNR)
            x_self_cond: [B, L, D] - Self-conditioning embeddings (optional)
            output_hidden_states: Whether to return all hidden states
        
        Returns:
            logits: [B, L, vocab_size]
            hidden_states: List of hidden states if output_hidden_states=True
        """
        all_hidden_states = []
        x = x_embed
        
        if output_hidden_states:
            all_hidden_states.append(x)

        # Self-conditioning
        if self.config.self_conditioning:
            if x_self_cond is None:
                x_self_cond = torch.zeros_like(x)
            x = x + self.self_cond_proj(torch.cat([x, x_self_cond], dim=-1))

        t_cond = F.silu(self.sigma_map(sigma))
        rotary_cos_sin = self.rotary_emb(x)

        with torch.autocast(device_type='cuda', dtype=torch.bfloat16):
            for block in self.blocks:
                x = block(x, rotary_cos_sin, c=t_cond)
                if output_hidden_states:
                    all_hidden_states.append(x)
            x = self.output_layer(x, c=t_cond)

        return x, all_hidden_states


class LangFlow(transformers.PreTrainedModel):
    """HuggingFace-compatible LangFlow model.
    
    LangFlow is a continuous diffusion language model that operates in embedding space.
    It uses a DiT (Diffusion Transformer) backbone with:
    - Self-conditioning: uses previous predictions as additional input
    - Bias (preconditioning): skip connection for improved generation
    - Normalized embeddings: layernorm on embedding vectors
    - Learnable Gumbel proposal for gamma (log-SNR) sampling
    """
    config_class = LangFlowConfig
    base_model_prefix = "langflow"

    def __init__(self, config: LangFlowConfig):
        super().__init__(config)
        self.config = config
        self.backbone = LangFlowBackbone(config)
        self.proposal = GumbelProposal(
            loc=config.gumbel_loc,
            scale=config.gumbel_scale,
            cutoff=config.gumbel_cutoff,
            entropy=config.gumbel_entropy)

    def _get_embedding_matrix(self) -> torch.Tensor:
        """Get the embedding matrix for bias skip connection."""
        return self.backbone.vocab_embed._get_embedding()

    def _embed_tokens(self, x: torch.Tensor) -> torch.Tensor:
        """Embed tokens or probabilities to continuous embeddings."""
        return self.backbone.vocab_embed(x)

    def _forward_diffusion(self, x_embed: torch.Tensor, 
                           gamma: torch.Tensor) -> torch.Tensor:
        """Add noise to embeddings (forward diffusion process)."""
        gamma = gamma.float()
        alpha = torch.sigmoid(-gamma).sqrt()[:, None, None]
        sigma = torch.sigmoid(gamma).sqrt()[:, None, None]
        noise = torch.randn_like(x_embed)
        return (x_embed * alpha + noise * sigma).to(x_embed.dtype)

    def _euler_edm_step(self, z: torch.Tensor, x_pred: torch.Tensor,
                        t: torch.Tensor, s: torch.Tensor) -> torch.Tensor:
        """Single Euler step for EDM sampling."""
        t_ = t.double()
        s_ = s.double()
        cur = z.double() * ((F.softplus(t_) - F.softplus(s_)) / 2).exp()
        end = torch.sigmoid(-s_).sqrt() * x_pred.double()
        z = end.lerp(cur, ((s_ - t_) / 2).exp()).to(z.dtype)
        return z

    def forward(
        self,
        input_ids: typing.Optional[torch.LongTensor] = None,
        noisy_embeds: typing.Optional[torch.FloatTensor] = None,
        timesteps: typing.Optional[torch.FloatTensor] = None,
        x_self_cond: typing.Optional[torch.FloatTensor] = None,
        output_hidden_states: typing.Optional[bool] = None,
        return_dict: typing.Optional[bool] = None,
    ) -> typing.Union[torch.Tensor, typing.Tuple, transformers.modeling_outputs.MaskedLMOutput]:
        """Forward pass for LangFlow.
        
        Args:
            input_ids: [B, L] - Token IDs (will be embedded and noised if timesteps provided)
            noisy_embeds: [B, L, D] - Pre-noised embeddings (alternative to input_ids)
            timesteps: [B] - Gamma values (log-SNR) for conditioning
            x_self_cond: [B, L, D] - Self-conditioning embeddings
            output_hidden_states: Whether to return hidden states
            return_dict: Whether to return MaskedLMOutput
        
        Returns:
            logits or MaskedLMOutput
        """
        output_hidden_states = output_hidden_states if output_hidden_states is not None else False
        return_dict = return_dict if return_dict is not None else self.config.use_return_dict

        # Get embeddings
        if noisy_embeds is not None:
            z = noisy_embeds
        elif input_ids is not None:
            x_embed = self._embed_tokens(input_ids)
            if timesteps is not None:
                z = self._forward_diffusion(x_embed, timesteps)
            else:
                z = x_embed
        else:
            raise ValueError("Either input_ids or noisy_embeds must be provided")

        if timesteps is None:
            # Use minimum gamma for clean input
            timesteps = torch.full((z.shape[0],), self.proposal.gamma_min, device=z.device)

        # Process sigma
        sigma = timesteps
        if sigma.ndim == 2:
            sigma = sigma.mean(-1)

        # Get model output
        logits, all_hidden_states = self.backbone(
            z, sigma, x_self_cond=x_self_cond, output_hidden_states=output_hidden_states)

        # Add bias (preconditioning) skip connection
        if self.config.use_bias:
            c_skip = ((F.softplus(-sigma) - sigma) / 2).exp()
            embedding = self._get_embedding_matrix()
            skip_logits = torch.matmul(z.float(), embedding.t().float())
            logits = logits + c_skip[:, None, None] * skip_logits.to(logits.dtype)

        if return_dict:
            return transformers.modeling_outputs.MaskedLMOutput(
                logits=logits,
                hidden_states=all_hidden_states if output_hidden_states else None,
                loss=None)
        elif output_hidden_states:
            return logits, all_hidden_states
        else:
            return logits

    @torch.no_grad()
    def generate_samples(
        self,
        num_samples: int = 1,
        seq_length: typing.Optional[int] = None,
        num_steps: int = 128,
        device: typing.Optional[torch.device] = None,
    ) -> torch.LongTensor:
        """Generate samples using Euler-EDM solver.
        
        Args:
            num_samples: Number of samples to generate
            seq_length: Sequence length (defaults to config.model_length)
            num_steps: Number of denoising steps
            device: Device to generate on
        
        Returns:
            samples: [num_samples, seq_length] - Generated token IDs
        """
        if seq_length is None:
            seq_length = self.config.model_length
        if device is None:
            device = next(self.parameters()).device

        embed_dim = self.config.hidden_size
        eps = 1e-5

        # Initialize with Gaussian noise
        z = torch.randn(num_samples, seq_length, embed_dim, device=device)

        # Create gamma schedule from t=1-eps to t=eps
        t = torch.linspace(1.0 - eps, eps, num_steps, device=device)
        gamma = self.proposal(t)

        # Self-conditioning state
        x_self_cond = None

        # Euler-EDM sampling loop
        for i in range(len(gamma) - 1):
            gamma_t = gamma[i]
            gamma_s = gamma[i + 1]

            # Get model prediction
            gamma_expanded = gamma_t.unsqueeze(0).expand(num_samples)
            logits = self.forward(
                noisy_embeds=z,
                timesteps=gamma_expanded,
                x_self_cond=x_self_cond,
                return_dict=False)

            # Convert logits to embedding prediction
            probs = F.softmax(logits.float(), dim=-1)
            x_pred = self._embed_tokens(probs)

            # Update self-conditioning
            if self.config.self_conditioning:
                x_self_cond = x_pred

            # Euler step
            z = self._euler_edm_step(z, x_pred, gamma_t, gamma_s)

        # Final step: get logits and take argmax
        gamma_final = gamma[-1]
        gamma_expanded = gamma_final.unsqueeze(0).expand(num_samples)
        logits = self.forward(
            noisy_embeds=z,
            timesteps=gamma_expanded,
            x_self_cond=x_self_cond,
            return_dict=False)
        samples = logits.argmax(dim=-1)

        return samples