File size: 30,208 Bytes
f967e70 a7372d1 f967e70 | 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 | """
AirTrackLM - Model Architecture
================================
Decoder-only transformer with 4 embedding types for air track next-state prediction.
Embedding types (following LLM4STP, adapted for aviation):
1. Geohash: 40-bit binary per ENU axis (120 bits total) β Linear projection β d_model
2. Temporal: Sinusoidal second-of-day + learned hour/dow/month embeddings
3. Uncertainty: Learned embedding from trajectory smoothness bins
4. Prompt: Learned tokens for task/aircraft/phase/region metadata
Core architecture:
- Additive embedding fusion (E_geo + E_feat + E_temp + E_uncert)
- Prompt tokens prepended to sequence
- Causal (GPT-style) multi-head self-attention
- Multi-head output: separate prediction per feature type
"""
import math
import torch
import torch.nn as nn
import torch.nn.functional as F
from typing import Optional, Dict, Tuple
from dataclasses import dataclass
# ============================================================
# Configuration
# ============================================================
@dataclass
class AirTrackConfig:
"""Model configuration."""
# Transformer backbone
d_model: int = 256
n_heads: int = 8
n_layers: int = 8
d_ff: int = 1024
dropout: float = 0.1
max_seq_len: int = 256 # max sequence length (prompt + trajectory)
# Geohash embedding (LLM4STP style)
geohash_bits: int = 120 # 40 bits Γ 3 axes (E, N, U)
geohash_hidden: int = 64 # intermediate projection dim
# Feature bins (discretized kinematic features)
n_cog_bins: int = 180 # 2Β° resolution over [0, 360)
n_sog_bins: int = 300 # 2-knot resolution over [0, 600]
n_rot_bins: int = 120 # 0.1Β°/s over [-6, 6]
n_alt_rate_bins: int = 120 # 100 ft/min over [-6000, 6000]
# Temporal embedding
n_hours: int = 24
n_dow: int = 7
n_months: int = 12
time_sinusoidal_dim: int = 32 # dimension for sinusoidal second-of-day encoding
# Uncertainty embedding
n_uncert_bins: int = 16
n_uncert_methods: int = 4 # kinematic_var, pred_residual, spatial_density, phase_entropy
use_multi_uncertainty: bool = True # if True, use MultiUncertaintyEmbedding
use_heteroscedastic: bool = True # if True, add learned uncertainty head
# Prompt embedding
n_prompt_tokens: int = 23 # PromptTokens.VOCAB_SIZE
n_prompt_len: int = 5 # [BOS, TASK, AIRCRAFT, PHASE, REGION]
# Output heads
# We predict: geohash (regression), COG bin, SOG bin, ROT bin, alt_rate bin
predict_geohash: bool = True # if True, predict geohash bits (binary classification per bit)
predict_continuous: bool = True # if True, also predict continuous ENU offset (regression)
# Ablation variants for geohash
geohash_mode: str = 'absolute' # 'absolute', 'none', 'relative', 'multi_res', 'continuous'
# ============================================================
# Embedding Modules
# ============================================================
class GeohashEmbedding(nn.Module):
"""
Binary geohash embedding following LLM4STP.
Projects 120-bit binary vector through:
Linear(120 β geohash_hidden) β ReLU β Linear(geohash_hidden β d_model)
LLM4STP uses Conv1d on the bits, but we use MLP for simplicity
since each timestep's 120 bits are independent.
"""
def __init__(self, config: AirTrackConfig):
super().__init__()
self.projection = nn.Sequential(
nn.Linear(config.geohash_bits, config.geohash_hidden),
nn.ReLU(),
nn.Linear(config.geohash_hidden, config.d_model),
)
def forward(self, geohash_bits: torch.Tensor) -> torch.Tensor:
"""
Args:
geohash_bits: (batch, seq_len, 120) float tensor of binary geohash
Returns:
(batch, seq_len, d_model)
"""
return self.projection(geohash_bits)
class ContinuousPositionEmbedding(nn.Module):
"""Ablation variant V5: direct linear projection of continuous ENU coordinates."""
def __init__(self, config: AirTrackConfig):
super().__init__()
self.projection = nn.Sequential(
nn.Linear(3, config.geohash_hidden),
nn.ReLU(),
nn.Linear(config.geohash_hidden, config.d_model),
)
def forward(self, east: torch.Tensor, north: torch.Tensor, up: torch.Tensor) -> torch.Tensor:
"""
Args:
east, north, up: (batch, seq_len) each
Returns:
(batch, seq_len, d_model)
"""
pos = torch.stack([east, north, up], dim=-1) # (B, L, 3)
return self.projection(pos)
class FeatureEmbedding(nn.Module):
"""
Learned embedding tables for discretized kinematic features.
Each feature has its own embedding table, all outputs summed.
"""
def __init__(self, config: AirTrackConfig):
super().__init__()
self.cog_embed = nn.Embedding(config.n_cog_bins, config.d_model)
self.sog_embed = nn.Embedding(config.n_sog_bins, config.d_model)
self.rot_embed = nn.Embedding(config.n_rot_bins, config.d_model)
self.alt_rate_embed = nn.Embedding(config.n_alt_rate_bins, config.d_model)
def forward(
self,
cog_bins: torch.Tensor,
sog_bins: torch.Tensor,
rot_bins: torch.Tensor,
alt_rate_bins: torch.Tensor,
) -> torch.Tensor:
"""
Args:
*_bins: (batch, seq_len) long tensors of bin indices
Returns:
(batch, seq_len, d_model) β sum of all feature embeddings
"""
return (
self.cog_embed(cog_bins) +
self.sog_embed(sog_bins) +
self.rot_embed(rot_bins) +
self.alt_rate_embed(alt_rate_bins)
)
class TemporalEmbedding(nn.Module):
"""
Temporal embedding combining:
1. Sinusoidal encoding of second-of-day (sub-second resolution)
2. Learned embeddings for hour, day-of-week, month
3. Sinusoidal encoding of delta-t (time since previous state)
The sinusoidal encoding gives sub-second precision since it operates
on continuous float seconds, not discrete bins.
"""
def __init__(self, config: AirTrackConfig):
super().__init__()
# Learned calendar embeddings
self.hour_embed = nn.Embedding(config.n_hours, config.d_model)
self.dow_embed = nn.Embedding(config.n_dow, config.d_model)
self.month_embed = nn.Embedding(config.n_months, config.d_model)
# Sinusoidal projection for continuous time features
# second_of_day β sinusoidal features β linear β d_model
self.time_sin_dim = config.time_sinusoidal_dim
self.time_projection = nn.Linear(config.time_sinusoidal_dim * 2, config.d_model)
# Delta-t projection
self.dt_projection = nn.Linear(config.time_sinusoidal_dim * 2, config.d_model)
# Pre-compute frequency bases for sinusoidal encoding
# Multiple frequencies to capture different time scales
freqs = torch.exp(torch.arange(0, config.time_sinusoidal_dim, dtype=torch.float32) *
-(math.log(86400.0) / config.time_sinusoidal_dim))
self.register_buffer('time_freqs', freqs)
dt_freqs = torch.exp(torch.arange(0, config.time_sinusoidal_dim, dtype=torch.float32) *
-(math.log(3600.0) / config.time_sinusoidal_dim))
self.register_buffer('dt_freqs', dt_freqs)
def sinusoidal_encode(self, values: torch.Tensor, freqs: torch.Tensor) -> torch.Tensor:
"""
Encode continuous values with multiple sinusoidal frequencies.
Args:
values: (batch, seq_len) β continuous values
freqs: (dim,) β frequency bases
Returns:
(batch, seq_len, dim*2) β sin and cos features
"""
# (B, L, 1) * (1, 1, dim) β (B, L, dim)
angles = values.unsqueeze(-1) * freqs.unsqueeze(0).unsqueeze(0) * 2 * math.pi
return torch.cat([torch.sin(angles), torch.cos(angles)], dim=-1)
def forward(
self,
hour: torch.Tensor,
dow: torch.Tensor,
month: torch.Tensor,
second_of_day: torch.Tensor,
dt: torch.Tensor,
) -> torch.Tensor:
"""
Args:
hour: (B, L) long β hour of day [0, 23]
dow: (B, L) long β day of week [0, 6]
month: (B, L) long β month [0, 11]
second_of_day: (B, L) float β seconds within day [0, 86400)
dt: (B, L) float β delta-t in seconds
Returns:
(B, L, d_model)
"""
# Learned calendar embeddings
cal = self.hour_embed(hour) + self.dow_embed(dow) + self.month_embed(month)
# Sinusoidal second-of-day (sub-second resolution)
time_sin = self.sinusoidal_encode(second_of_day, self.time_freqs) # (B, L, dim*2)
time_emb = self.time_projection(time_sin) # (B, L, d_model)
# Sinusoidal delta-t
dt_sin = self.sinusoidal_encode(dt, self.dt_freqs) # (B, L, dim*2)
dt_emb = self.dt_projection(dt_sin) # (B, L, d_model)
return cal + time_emb + dt_emb
class UncertaintyEmbedding(nn.Module):
"""Learned embedding for trajectory uncertainty bins."""
def __init__(self, config: AirTrackConfig):
super().__init__()
self.embed = nn.Embedding(config.n_uncert_bins, config.d_model)
def forward(self, uncert_bins: torch.Tensor) -> torch.Tensor:
"""
Args:
uncert_bins: (B, L) long β uncertainty bin indices
Returns:
(B, L, d_model)
"""
return self.embed(uncert_bins)
class PromptEmbedding(nn.Module):
"""Learned prompt token embeddings for task/metadata conditioning."""
def __init__(self, config: AirTrackConfig):
super().__init__()
self.embed = nn.Embedding(config.n_prompt_tokens, config.d_model)
def forward(self, prompt_tokens: torch.Tensor) -> torch.Tensor:
"""
Args:
prompt_tokens: (B, n_prompt_len) long β prompt token IDs
Returns:
(B, n_prompt_len, d_model)
"""
return self.embed(prompt_tokens)
# ============================================================
# Positional Encoding
# ============================================================
class SinusoidalPositionalEncoding(nn.Module):
"""Standard sinusoidal positional encoding."""
def __init__(self, d_model: int, max_len: int = 512, dropout: float = 0.1):
super().__init__()
self.dropout = nn.Dropout(p=dropout)
pe = torch.zeros(max_len, d_model)
position = torch.arange(0, max_len, dtype=torch.float).unsqueeze(1)
div_term = torch.exp(torch.arange(0, d_model, 2).float() * -(math.log(10000.0) / d_model))
pe[:, 0::2] = torch.sin(position * div_term)
pe[:, 1::2] = torch.cos(position * div_term)
pe = pe.unsqueeze(0) # (1, max_len, d_model)
self.register_buffer('pe', pe)
def forward(self, x: torch.Tensor) -> torch.Tensor:
"""x: (B, L, d_model)"""
x = x + self.pe[:, :x.size(1)]
return self.dropout(x)
# ============================================================
# Transformer Backbone
# ============================================================
class TransformerBlock(nn.Module):
"""Single transformer decoder block with causal attention."""
def __init__(self, config: AirTrackConfig):
super().__init__()
self.ln1 = nn.LayerNorm(config.d_model)
self.attn = nn.MultiheadAttention(
embed_dim=config.d_model,
num_heads=config.n_heads,
dropout=config.dropout,
batch_first=True,
)
self.ln2 = nn.LayerNorm(config.d_model)
self.ffn = nn.Sequential(
nn.Linear(config.d_model, config.d_ff),
nn.GELU(),
nn.Dropout(config.dropout),
nn.Linear(config.d_ff, config.d_model),
nn.Dropout(config.dropout),
)
def forward(self, x: torch.Tensor, attn_mask: Optional[torch.Tensor] = None) -> torch.Tensor:
"""
Args:
x: (B, L, d_model)
attn_mask: (L, L) causal mask
Returns:
(B, L, d_model)
"""
# Pre-norm architecture (like GPT-2)
h = self.ln1(x)
h, _ = self.attn(h, h, h, attn_mask=attn_mask, is_causal=(attn_mask is None))
x = x + h
h = self.ln2(x)
h = self.ffn(h)
x = x + h
return x
# ============================================================
# Output Heads
# ============================================================
class NextStatePredictionHead(nn.Module):
"""
Multi-head output for next-state prediction.
Predicts each feature type independently.
"""
def __init__(self, config: AirTrackConfig):
super().__init__()
# Geohash: predict 120 binary bits (sigmoid per bit)
if config.predict_geohash:
self.geohash_head = nn.Linear(config.d_model, config.geohash_bits)
# Continuous ENU regression (optional secondary objective)
if config.predict_continuous:
self.continuous_head = nn.Sequential(
nn.Linear(config.d_model, config.d_model // 2),
nn.GELU(),
nn.Linear(config.d_model // 2, 3), # (Ξeast, Ξnorth, Ξup)
)
# Kinematic feature bin classification
self.cog_head = nn.Linear(config.d_model, config.n_cog_bins)
self.sog_head = nn.Linear(config.d_model, config.n_sog_bins)
self.rot_head = nn.Linear(config.d_model, config.n_rot_bins)
self.alt_rate_head = nn.Linear(config.d_model, config.n_alt_rate_bins)
self.config = config
def forward(self, hidden_states: torch.Tensor) -> Dict[str, torch.Tensor]:
"""
Args:
hidden_states: (B, L, d_model) β transformer output
Returns:
dict of logits/predictions for each feature
"""
out = {}
if self.config.predict_geohash:
out['geohash_logits'] = self.geohash_head(hidden_states) # (B, L, 120)
if self.config.predict_continuous:
out['continuous_pred'] = self.continuous_head(hidden_states) # (B, L, 3)
out['cog_logits'] = self.cog_head(hidden_states) # (B, L, n_cog_bins)
out['sog_logits'] = self.sog_head(hidden_states) # (B, L, n_sog_bins)
out['rot_logits'] = self.rot_head(hidden_states) # (B, L, n_rot_bins)
out['alt_rate_logits'] = self.alt_rate_head(hidden_states) # (B, L, n_alt_rate_bins)
return out
class ClassificationHead(nn.Module):
"""Downstream classification head (attached after pretraining)."""
def __init__(self, d_model: int, n_classes: int, dropout: float = 0.1):
super().__init__()
self.head = nn.Sequential(
nn.Linear(d_model, d_model // 2),
nn.GELU(),
nn.Dropout(dropout),
nn.Linear(d_model // 2, n_classes),
)
def forward(self, hidden_states: torch.Tensor) -> torch.Tensor:
"""
Uses the BOS token representation (first position) for classification.
Args:
hidden_states: (B, L, d_model)
Returns:
(B, n_classes)
"""
cls_repr = hidden_states[:, 0, :] # BOS position
return self.head(cls_repr)
# ============================================================
# Main Model
# ============================================================
class AirTrackLM(nn.Module):
"""
AirTrackLM: Decoder-only transformer for air track next-state prediction.
Architecture:
Input β [4 Embedding Types fused additively] β Positional Encoding
β N Γ TransformerBlock (causal attention)
β Multi-head output (geohash + kinematic features)
"""
def __init__(self, config: AirTrackConfig):
super().__init__()
self.config = config
# === Embedding layers ===
# Geohash (spatial position)
if config.geohash_mode == 'absolute':
self.geohash_embed = GeohashEmbedding(config)
elif config.geohash_mode == 'continuous':
self.geohash_embed = ContinuousPositionEmbedding(config)
elif config.geohash_mode == 'none':
self.geohash_embed = None
else:
# relative and multi_res use same base as absolute
self.geohash_embed = GeohashEmbedding(config)
# Kinematic features
self.feature_embed = FeatureEmbedding(config)
# Temporal
self.temporal_embed = TemporalEmbedding(config)
# Uncertainty β single or multi-method
if config.use_multi_uncertainty and config.n_uncert_methods > 1:
from uncertainty import MultiUncertaintyEmbedding
self.uncertainty_embed = MultiUncertaintyEmbedding(
config.d_model, config.n_uncert_methods, config.n_uncert_bins
)
self._multi_uncert = True
else:
self.uncertainty_embed = UncertaintyEmbedding(config)
self._multi_uncert = False
# Heteroscedastic uncertainty head (learned aleatoric)
self.heteroscedastic_head = None
if config.use_heteroscedastic:
from uncertainty import HeteroscedasticHead
self.heteroscedastic_head = HeteroscedasticHead(config.d_model, n_outputs=6)
# Prompt
self.prompt_embed = PromptEmbedding(config)
# === Fusion projection ===
# After additive fusion, project through LayerNorm
self.fusion_ln = nn.LayerNorm(config.d_model)
# === Positional encoding ===
self.pos_encoding = SinusoidalPositionalEncoding(
config.d_model, config.max_seq_len, config.dropout
)
# === Transformer blocks ===
self.blocks = nn.ModuleList([
TransformerBlock(config) for _ in range(config.n_layers)
])
# Final layer norm
self.final_ln = nn.LayerNorm(config.d_model)
# === Output heads ===
self.prediction_head = NextStatePredictionHead(config)
# Classification head (optional, for downstream)
self.classification_head = None
# Initialize weights
self.apply(self._init_weights)
def _init_weights(self, module):
if isinstance(module, nn.Linear):
torch.nn.init.normal_(module.weight, mean=0.0, std=0.02)
if module.bias is not None:
torch.nn.init.zeros_(module.bias)
elif isinstance(module, nn.Embedding):
torch.nn.init.normal_(module.weight, mean=0.0, std=0.02)
elif isinstance(module, nn.LayerNorm):
torch.nn.init.ones_(module.weight)
torch.nn.init.zeros_(module.bias)
def attach_classification_head(self, n_classes: int):
"""Attach a classification head for downstream fine-tuning."""
self.classification_head = ClassificationHead(
self.config.d_model, n_classes, self.config.dropout
)
def get_causal_mask(self, seq_len: int, device: torch.device) -> torch.Tensor:
"""Generate causal attention mask."""
mask = torch.triu(torch.ones(seq_len, seq_len, device=device), diagonal=1)
mask = mask.masked_fill(mask == 1, float('-inf'))
return mask
def forward(self, batch: Dict[str, torch.Tensor]) -> Dict[str, torch.Tensor]:
"""
Forward pass.
Args:
batch: dict from AirTrackDataset.__getitem__ (batched)
Returns:
dict with prediction logits and optionally classification logits
"""
device = batch['cog_bins'].device
B = batch['cog_bins'].size(0)
# --- Build state embeddings ---
# Kinematic feature embedding
feat_emb = self.feature_embed(
batch['cog_bins'], batch['sog_bins'],
batch['rot_bins'], batch['alt_rate_bins']
) # (B, L, d_model)
# Temporal embedding
temp_emb = self.temporal_embed(
batch['hour'], batch['dow'], batch['month'],
batch['second_of_day'], batch['dt']
) # (B, L, d_model)
# Uncertainty embedding (single or multi-method)
if self._multi_uncert and 'uncert_bins_multi' in batch:
uncert_emb = self.uncertainty_embed(batch['uncert_bins_multi']) # (B, L, d_model)
else:
uncert_emb = self.uncertainty_embed(batch['uncert_bins']) # (B, L, d_model)
# Geohash embedding
if self.config.geohash_mode == 'continuous':
geo_emb = self.geohash_embed(batch['east'], batch['north'], batch['up'])
elif self.geohash_embed is not None:
geo_emb = self.geohash_embed(batch['geohash_bits']) # (B, L, d_model)
else:
geo_emb = torch.zeros_like(feat_emb)
# --- Additive fusion ---
state_emb = feat_emb + temp_emb + uncert_emb + geo_emb # (B, L, d_model)
state_emb = self.fusion_ln(state_emb)
# --- Prepend prompt tokens ---
prompt_emb = self.prompt_embed(batch['prompt']) # (B, n_prompt, d_model)
# Concatenate: [PROMPT | STATE_1 | STATE_2 | ... | STATE_T]
x = torch.cat([prompt_emb, state_emb], dim=1) # (B, n_prompt + L, d_model)
# --- Positional encoding ---
x = self.pos_encoding(x)
# --- Causal transformer ---
seq_len = x.size(1)
causal_mask = self.get_causal_mask(seq_len, device)
for block in self.blocks:
x = block(x, attn_mask=causal_mask)
x = self.final_ln(x)
# --- Split output ---
n_prompt = batch['prompt'].size(1)
prompt_output = x[:, :n_prompt, :] # (B, n_prompt, d_model)
state_output = x[:, n_prompt:, :] # (B, L, d_model)
# --- Prediction heads (on state output) ---
predictions = self.prediction_head(state_output)
# --- Heteroscedastic uncertainty (learned aleatoric) ---
if self.heteroscedastic_head is not None:
predictions['log_var'] = self.heteroscedastic_head(state_output) # (B, L, 6)
# --- Classification (optional) ---
if self.classification_head is not None:
predictions['class_logits'] = self.classification_head(x) # uses BOS at position 0
return predictions
def count_parameters(self) -> Dict[str, int]:
"""Count parameters by component."""
counts = {}
for name, module in [
('geohash_embed', self.geohash_embed),
('feature_embed', self.feature_embed),
('temporal_embed', self.temporal_embed),
('uncertainty_embed', self.uncertainty_embed),
('prompt_embed', self.prompt_embed),
('transformer_blocks', self.blocks),
('prediction_head', self.prediction_head),
]:
if module is not None:
counts[name] = sum(p.numel() for p in module.parameters())
counts['total'] = sum(p.numel() for p in self.parameters())
counts['trainable'] = sum(p.numel() for p in self.parameters() if p.requires_grad)
return counts
# ============================================================
# Loss Function
# ============================================================
class NextStateLoss(nn.Module):
"""
Multi-task loss for next-state prediction.
For each position t, the model predicts features at t+1.
Losses:
- Geohash: Binary cross-entropy per bit
- Kinematic features (COG, SOG, ROT, alt_rate): Cross-entropy per feature
- Continuous ENU: MSE (optional)
"""
def __init__(self, config: AirTrackConfig, loss_weights: Optional[Dict[str, float]] = None):
super().__init__()
self.config = config
# Default loss weights (equal)
self.weights = loss_weights or {
'geohash': 1.0,
'continuous': 0.5,
'cog': 1.0,
'sog': 1.0,
'rot': 1.0,
'alt_rate': 1.0,
}
self.ce = nn.CrossEntropyLoss(reduction='mean')
self.bce = nn.BCEWithLogitsLoss(reduction='mean')
self.mse = nn.MSELoss(reduction='mean')
def forward(
self,
predictions: Dict[str, torch.Tensor],
batch: Dict[str, torch.Tensor],
) -> Tuple[torch.Tensor, Dict[str, float]]:
"""
Compute loss. Targets are shifted by 1 (predict next state).
predictions[key] is at positions [0, 1, ..., L-1]
targets are batch[key] at positions [1, 2, ..., L]
So we compare predictions[:, :-1, :] with targets[:, 1:, :]
"""
losses = {}
# --- Geohash binary prediction ---
if self.config.predict_geohash and 'geohash_logits' in predictions:
# predictions: (B, L, 120), targets: (B, L, 120) float
pred_geo = predictions['geohash_logits'][:, :-1, :] # (B, L-1, 120)
target_geo = batch['geohash_bits'][:, 1:, :] # (B, L-1, 120)
losses['geohash'] = self.bce(pred_geo, target_geo) * self.weights['geohash']
# --- Continuous ENU regression (predict delta in km, not raw meters) ---
if self.config.predict_continuous and 'continuous_pred' in predictions:
pred_cont = predictions['continuous_pred'][:, :-1, :] # (B, L-1, 3)
# Target is delta-ENU: position(t+1) - position(t), normalized to km
delta_east = (batch['east'][:, 1:] - batch['east'][:, :-1]) / 1000.0
delta_north = (batch['north'][:, 1:] - batch['north'][:, :-1]) / 1000.0
delta_up = (batch['up'][:, 1:] - batch['up'][:, :-1]) / 1000.0
target_delta = torch.stack([delta_east, delta_north, delta_up], dim=-1)
losses['continuous'] = self.mse(pred_cont, target_delta) * self.weights['continuous']
# --- COG ---
pred_cog = predictions['cog_logits'][:, :-1, :] # (B, L-1, n_cog_bins)
target_cog = batch['cog_bins'][:, 1:] # (B, L-1)
losses['cog'] = self.ce(pred_cog.reshape(-1, pred_cog.size(-1)), target_cog.reshape(-1)) * self.weights['cog']
# --- SOG ---
pred_sog = predictions['sog_logits'][:, :-1, :]
target_sog = batch['sog_bins'][:, 1:]
losses['sog'] = self.ce(pred_sog.reshape(-1, pred_sog.size(-1)), target_sog.reshape(-1)) * self.weights['sog']
# --- ROT ---
pred_rot = predictions['rot_logits'][:, :-1, :]
target_rot = batch['rot_bins'][:, 1:]
losses['rot'] = self.ce(pred_rot.reshape(-1, pred_rot.size(-1)), target_rot.reshape(-1)) * self.weights['rot']
# --- Alt rate ---
pred_ar = predictions['alt_rate_logits'][:, :-1, :]
target_ar = batch['alt_rate_bins'][:, 1:]
losses['alt_rate'] = self.ce(pred_ar.reshape(-1, pred_ar.size(-1)), target_ar.reshape(-1)) * self.weights['alt_rate']
# --- Heteroscedastic regularization (learned aleatoric uncertainty) ---
if 'log_var' in predictions:
log_var = predictions['log_var'][:, :-1, :] # (B, L-1, 6)
# Clamp log_var to prevent collapse: [-5, 5] range
log_var_clamped = torch.clamp(log_var, -5.0, 5.0)
# Regularize toward 0 (unit variance prior)
losses['log_var_reg'] = 0.1 * (log_var_clamped ** 2).mean()
# Total loss
total_loss = sum(losses.values())
# Log individual losses
loss_log = {k: v.item() for k, v in losses.items()}
loss_log['total'] = total_loss.item()
return total_loss, loss_log
# ============================================================
# Quick test
# ============================================================
if __name__ == '__main__':
config = AirTrackConfig()
model = AirTrackLM(config)
# Print parameter counts
counts = model.count_parameters()
print("Parameter counts:")
for name, count in counts.items():
print(f" {name}: {count:,}")
# Test forward pass with dummy data
B, L = 2, 65 # batch=2, seq_len=65 (64 states + 1 for target shift)
n_prompt = config.n_prompt_len
batch = {
'geohash_bits': torch.randn(B, L, config.geohash_bits),
'cog_bins': torch.randint(0, config.n_cog_bins, (B, L)),
'sog_bins': torch.randint(0, config.n_sog_bins, (B, L)),
'rot_bins': torch.randint(0, config.n_rot_bins, (B, L)),
'alt_rate_bins': torch.randint(0, config.n_alt_rate_bins, (B, L)),
'uncert_bins': torch.randint(0, config.n_uncert_bins, (B, L)),
'hour': torch.randint(0, 24, (B, L)),
'dow': torch.randint(0, 7, (B, L)),
'month': torch.randint(0, 12, (B, L)),
'second_of_day': torch.rand(B, L) * 86400,
'dt': torch.ones(B, L) * 5.0,
'prompt': torch.randint(0, config.n_prompt_tokens, (B, n_prompt)),
'east': torch.randn(B, L) * 1000,
'north': torch.randn(B, L) * 1000,
'up': torch.randn(B, L) * 1000,
}
predictions = model(batch)
print("\nPrediction shapes:")
for k, v in predictions.items():
print(f" {k}: {v.shape}")
# Test loss
loss_fn = NextStateLoss(config)
total_loss, loss_log = loss_fn(predictions, batch)
print(f"\nLoss: {loss_log}")
|