Spaces:
Sleeping
Sleeping
File size: 24,032 Bytes
0515ef3 | 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 | """
MDD Engine β Mispronunciation Detection and Diagnosis
=====================================================
Architecture (Shahin et al. 2025)
----------------------------------
Your model runs 35 independent CTC decoders, one per phonological feature.
Each decoder outputs a sequence of +att(1) / -att(0) labels, with blanks
already removed and runs collapsed β so the output length reflects the number
of detected phoneme-level events, NOT audio frames.
The canonical target comes from the user's typed sentence:
sentence β G2P (CMU ARPAbet) β phoneme_sequence_to_feature_sequences()
β 35 binary label sequences of length T (number of target phonemes)
The problem: the actual decoded sequence per feature may have a DIFFERENT
length than T, because the student may have:
- deleted phonemes (actual shorter than target)
- inserted extras (actual longer than target)
- substituted (same length, wrong labels)
Solution: Needleman-Wunsch (global sequence alignment) per feature
------------------------------------------------------------------
For each of the 35 features we run a global pairwise alignment between the
target binary sequence and the actual binary sequence. This gives us an
explicit alignment path with match / mismatch / insertion / deletion ops.
We then aggregate across all 35 features to get, per target phoneme position:
- which actual position it maps to (or DELETION if no match)
- which features are missing (+att in target, -att or gap in actual)
- which features are extra (-att in target, +att in actual)
- a weighted feature accuracy score
This is the standard approach in phonological MDD literature when no frame-
level forced alignment is available (see e.g. Lee & Glass 2015, Leung et al.
2019, and the feature-based MDD track of the AIP challenge).
Input/output contract
---------------------
actual_feature_seqs : list[list[int]] β 35 lists, each decoded CTC output
Values: 1 (+att) or 0 (-att)
Lengths may differ across features
and from the canonical length T
target_phonemes : list[str] β CMU ARPAbet phoneme sequence from
the user's typed sentence, length T
Output: MDDResult (see dataclass below)
"""
from __future__ import annotations
import numpy as np
from dataclasses import dataclass, field
from typing import List, Dict, Tuple, Optional
from phonological_features import (
PHONOLOGICAL_FEATURES,
phoneme_sequence_to_feature_sequences,
phoneme_to_feature_vector,
)
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 1. Feature schema & weights
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
FEATURE_NAMES: List[str] = PHONOLOGICAL_FEATURES # 35 features, canonical order
NUM_FEATURES = len(FEATURE_NAMES) # 35
assert NUM_FEATURES == 35
F2I: Dict[str, int] = {f: i for i, f in enumerate(FEATURE_NAMES)}
# Perceptual salience weights β higher = more important mismatch.
# Manner errors (wrong sound class) are most disruptive.
# Voicing errors are highly salient in English.
# Place errors matter but less so than manner.
# Length/type distinctions are least salient in L2 MDD.
FEATURE_WEIGHTS: np.ndarray = np.array([
# Manners (11): consonant sonorant fricative nasal stop
2.0, 1.5, 1.8, 2.0, 2.0,
# approximant affricate liquid vowel semivowel continuant
1.5, 1.8, 1.5, 2.0, 1.5, 1.2,
# Places (18): alveolar palatal dental glottal labial velar
1.5, 1.4, 1.3, 1.2, 1.5, 1.5,
# mid high low front back central
1.8, 1.8, 1.8, 1.6, 1.6, 1.2,
# anterior posterior retroflex bilabial coronal dorsal
1.3, 1.3, 1.3, 1.4, 1.3, 1.3,
# Others (6): long short monophthong diphthong round voiced
1.0, 1.0, 1.2, 1.2, 1.2, 2.5,
], dtype=np.float32)
assert len(FEATURE_WEIGHTS) == 35
# Alignment op codes
MATCH = 0 # same label, same position
MISMATCH = 1 # different label, same position
DELETE = 2 # target has event, actual has gap (deletion error)
INSERT = 3 # actual has event, target has gap (insertion error)
# NW scoring scheme
MATCH_SCORE = 2
MISMATCH_SCORE = -1
GAP_PENALTY = -2 # penalises deletions and insertions equally
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 2. Data classes
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
@dataclass
class AlignedPosition:
"""One position in the target sequence after multi-feature alignment."""
target_idx: int # index in target phoneme sequence
actual_idx: Optional[int] # index in actual sequence, None = deletion
op: int # MATCH / MISMATCH / DELETE / INSERT
target_bits: List[int] # canonical feature vector (35 bits)
actual_bits: List[int] # observed feature vector (35 bits, 0 if deleted)
missing_features: List[str] # +att in target, -att or gap in actual
extra_features: List[str] # -att in target, +att in actual
feature_accuracy: float # weighted accuracy 0-1
@dataclass
class PhonemeError:
"""One mispronounced phoneme with its full feature-level diagnosis."""
position: int # index in target sequence
target_phoneme: str # ARPAbet label from typed sentence
missing_features: List[str] # features the student failed to produce
extra_features: List[str] # features the student added erroneously
is_deletion: bool # student dropped this phoneme entirely
feature_accuracy: float # 0-1
severity: str # "mild" | "moderate" | "severe"
@dataclass
class MDDResult:
utterance_score: float # 0-100
phoneme_scores: List[float] # per target phoneme, 0-1
errors: List[PhonemeError]
aligned_positions: List[AlignedPosition]
feature_error_counts: Dict[str, int] # aggregated across all phonemes
deletion_count: int
insertion_count: int
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 3. Needleman-Wunsch per-feature aligner
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _nw_align(target_seq: List[int],
actual_seq: List[int]) -> List[Tuple[Optional[int], Optional[int]]]:
"""
Global sequence alignment (Needleman-Wunsch) for two binary label sequences.
Returns a list of (target_idx, actual_idx) pairs where:
(i, j) β match or mismatch at target[i], actual[j]
(i, None) β deletion: target[i] has no corresponding actual event
(None, j) β insertion: actual[j] has no corresponding target event
Binary values: 1 = +att, 0 = -att
"""
T = len(target_seq)
A = len(actual_seq)
# Fill score matrix
score = np.zeros((T + 1, A + 1), dtype=np.float32)
score[0, :] = np.arange(A + 1) * GAP_PENALTY
score[:, 0] = np.arange(T + 1) * GAP_PENALTY
for i in range(1, T + 1):
for j in range(1, A + 1):
s = MATCH_SCORE if target_seq[i-1] == actual_seq[j-1] else MISMATCH_SCORE
score[i, j] = max(
score[i-1, j-1] + s, # match/mismatch
score[i-1, j] + GAP_PENALTY, # deletion
score[i, j-1] + GAP_PENALTY, # insertion
)
# Traceback
path: List[Tuple[Optional[int], Optional[int]]] = []
i, j = T, A
while i > 0 or j > 0:
if i > 0 and j > 0:
s = MATCH_SCORE if target_seq[i-1] == actual_seq[j-1] else MISMATCH_SCORE
if score[i, j] == score[i-1, j-1] + s:
path.append((i-1, j-1))
i -= 1; j -= 1
continue
if i > 0 and score[i, j] == score[i-1, j] + GAP_PENALTY:
path.append((i-1, None)) # deletion
i -= 1
else:
path.append((None, j-1)) # insertion
j -= 1
path.reverse()
return path
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 4. Multi-feature alignment aggregator
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _align_all_features(
target_feat_seqs: List[List[int]], # 35 lists, each length T
actual_feat_seqs: List[List[int]], # 35 lists, each possibly != T
T: int, # number of target phonemes
) -> List[AlignedPosition]:
"""
Run NW alignment independently on each of 35 feature sequences, then
aggregate the results per target phoneme position.
Strategy
--------
Each feature gives its own alignment path. We collect, for each target
position i, a vote over all 35 features about what actual position it
maps to. The plurality actual index wins. If the majority vote is "gap"
(deletion), the position is marked as a deletion.
Then per position we reconstruct the actual feature bits from the voted
actual index across all features.
"""
# votes[target_idx] β list of actual_idx votes (None = deletion vote)
votes: List[List[Optional[int]]] = [[] for _ in range(T)]
# per_feature_actual_idx[feat][target_idx] β actual_idx or None
per_feat_map: List[Dict[int, Optional[int]]] = [
{} for _ in range(NUM_FEATURES)
]
for feat_i in range(NUM_FEATURES):
t_seq = target_feat_seqs[feat_i] # length T
a_seq = actual_feat_seqs[feat_i] # length may differ
path = _nw_align(t_seq, a_seq)
for (ti, ai) in path:
if ti is None:
continue # insertion β no target position, skip
votes[ti].append(ai) # ai may be None (deletion)
per_feat_map[feat_i][ti] = ai
# Resolve votes per target position
aligned: List[AlignedPosition] = []
DELETION_VOTE_THRESHOLD = 0.5 # >50% gap votes β mark as DELETE
for ti in range(T):
v = votes[ti]
non_null = [x for x in v if x is not None]
null_count = len(v) - len(non_null)
deletion_fraction = null_count / max(len(v), 1)
if not non_null or deletion_fraction > DELETION_VOTE_THRESHOLD:
chosen_ai = None
else:
# Plurality vote among non-null actual indices
counts: Dict[int, int] = {}
for idx in non_null:
counts[idx] = counts.get(idx, 0) + 1
chosen_ai = max(counts, key=counts.__getitem__)
# Build target and actual bit vectors for this position
target_bits = [target_feat_seqs[f][ti] for f in range(NUM_FEATURES)]
if chosen_ai is not None:
actual_bits = []
for f in range(NUM_FEATURES):
# Use per-feature actual value if this feature agrees on chosen_ai
feat_ai = per_feat_map[f].get(ti, None)
if feat_ai == chosen_ai:
actual_bits.append(actual_feat_seqs[f][feat_ai]
if feat_ai < len(actual_feat_seqs[f]) else 0)
else:
# Feature disagrees on the position β use its own aligned value
fa = per_feat_map[f].get(ti, None)
if fa is not None and fa < len(actual_feat_seqs[f]):
actual_bits.append(actual_feat_seqs[f][fa])
else:
actual_bits.append(0) # treat as absent
op = MATCH if target_bits == actual_bits else MISMATCH
else:
actual_bits = [0] * NUM_FEATURES
op = DELETE
# Compute feature-level errors
missing = [FEATURE_NAMES[f] for f in range(NUM_FEATURES)
if target_bits[f] == 1 and actual_bits[f] == 0]
extra = [FEATURE_NAMES[f] for f in range(NUM_FEATURES)
if target_bits[f] == 0 and actual_bits[f] == 1]
# Weighted accuracy: fraction of weighted features correctly produced
correct_weight = sum(
FEATURE_WEIGHTS[f]
for f in range(NUM_FEATURES)
if target_bits[f] == actual_bits[f]
)
total_weight = float(FEATURE_WEIGHTS.sum())
accuracy = float(correct_weight / total_weight)
aligned.append(AlignedPosition(
target_idx=ti,
actual_idx=chosen_ai,
op=op,
target_bits=target_bits,
actual_bits=actual_bits,
missing_features=missing,
extra_features=extra,
feature_accuracy=accuracy,
))
return aligned
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 5. Insertion detector
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _count_insertions(
actual_feat_seqs: List[List[int]],
actual_len: int,
aligned: List[AlignedPosition],
) -> int:
"""
Count actual positions that were voted as insertions (not mapped to any
target position) by the majority of features.
"""
used_actual = set(
ap.actual_idx for ap in aligned if ap.actual_idx is not None
)
inserted = set(range(actual_len)) - used_actual
return len(inserted)
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 6. Severity classifier
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# Thresholds on weighted feature error rate
_SEV = {"mild": 0.85, "moderate": 0.65} # accuracy thresholds (higher = easier)
def _severity(accuracy: float, is_deletion: bool) -> str:
if is_deletion:
return "severe"
if accuracy >= _SEV["mild"]:
return "mild"
if accuracy >= _SEV["moderate"]:
return "moderate"
return "severe"
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 7. Scorer
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _score_utterance(aligned: List[AlignedPosition]) -> Tuple[float, List[float]]:
"""
Per-phoneme score: weighted feature accuracy (0-1).
Deletions score 0.
Utterance score: weighted mean, penalising deletions most.
"""
phoneme_scores = [ap.feature_accuracy for ap in aligned]
utterance_score = float(np.mean(phoneme_scores)) * 100.0
return utterance_score, phoneme_scores
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 8. Error list builder
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _build_errors(
aligned: List[AlignedPosition],
target_phonemes: List[str],
) -> List[PhonemeError]:
errors = []
for ap in aligned:
if ap.op == MATCH and not ap.missing_features and not ap.extra_features:
continue # perfectly correct, no error to report
errors.append(PhonemeError(
position=ap.target_idx,
target_phoneme=target_phonemes[ap.target_idx],
missing_features=ap.missing_features,
extra_features=ap.extra_features,
is_deletion=(ap.op == DELETE),
feature_accuracy=ap.feature_accuracy,
severity=_severity(ap.feature_accuracy, ap.op == DELETE),
))
return errors
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 9. Aggregate feature error counts
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _aggregate(errors: List[PhonemeError]) -> Dict[str, int]:
counts: Dict[str, int] = {}
for e in errors:
for f in e.missing_features + e.extra_features:
counts[f] = counts.get(f, 0) + 1
return dict(sorted(counts.items(), key=lambda x: -x[1]))
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 10. Public entry point
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def run_mdd(
actual_feature_seqs: List[List[int]],
target_phonemes: List[str],
) -> MDDResult:
"""
Full MDD pipeline for a CTC phonological-feature model.
Parameters
----------
actual_feature_seqs : list of 35 lists of int (0 or 1)
CTC-decoded output of your model, AFTER blank removal and run-length
collapsing. Each list is the decoded +att/βatt sequence for one feature.
Lengths may differ from each other and from len(target_phonemes).
Index order must match PHONOLOGICAL_FEATURES / FEATURE_NAMES.
Concretely, if your model outputs logits of shape (T_audio, 71):
nodes 0-34 = +att for features 0-34
nodes 35-69 = -att for features 0-34
node 70 = blank
Then for feature i, the CTC-decoded sequence is a list of 0s and 1s
(1 = +att node fired, 0 = -att node fired), blanks removed.
target_phonemes : list of str
CMU ARPAbet phoneme sequence from the user's typed sentence.
Obtain via any G2P tool, e.g. g2p_en:
from g2p_en import G2p
target_phonemes = G2p()(sentence)
Returns
-------
MDDResult
"""
assert len(actual_feature_seqs) == 35, \
f"Expected 35 feature sequences, got {len(actual_feature_seqs)}"
assert len(target_phonemes) > 0, "target_phonemes must not be empty"
T = len(target_phonemes)
# Build canonical target feature sequences from the phoneme labels
target_feat_seqs: List[List[int]] = phoneme_sequence_to_feature_sequences(
target_phonemes
) # 35 lists, each of length T
# Actual lengths (for insertion counting)
actual_len = max((len(s) for s in actual_feature_seqs), default=0)
# Step 1: per-feature NW alignment β per target-position feature bits
aligned = _align_all_features(target_feat_seqs, actual_feature_seqs, T)
# Step 2: count structural errors
deletions = sum(1 for ap in aligned if ap.op == DELETE)
insertions = _count_insertions(actual_feature_seqs, actual_len, aligned)
# Step 3: score
utt_score, phoneme_scores = _score_utterance(aligned)
# Step 4: build error list
errors = _build_errors(aligned, target_phonemes)
# Step 5: aggregate feature error counts
feat_error_counts = _aggregate(errors)
return MDDResult(
utterance_score=utt_score,
phoneme_scores=phoneme_scores,
errors=errors,
aligned_positions=aligned,
feature_error_counts=feat_error_counts,
deletion_count=deletions,
insertion_count=insertions,
)
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# 11. CTC decode helper (use this on raw model logits)
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def ctc_decode_feature_seqs(
logits: np.ndarray, # (T_audio, 71) β raw model output per frame
blank_idx: int = 70,
) -> List[List[int]]:
"""
Greedy CTC decode for a phonological feature model with 71 output nodes.
For each of the 35 features independently:
1. At each frame, pick argmax between pos_node (feat_i) and neg_node (feat_i+35)
(ignoring blank).
2. Collapse runs and remove frames where blank wins overall.
3. Return the sequence of 1s (+att) and 0s (-att).
Parameters
----------
logits : np.ndarray (T_audio, 71)
Raw model output before softmax. If you've already applied softmax,
pass probabilities β the argmax logic is identical.
blank_idx : int
Index of the shared blank node (default 70).
Returns
-------
List of 35 lists of int (0 or 1), CTC-decoded.
"""
T_audio = logits.shape[0]
feature_seqs: List[List[int]] = [[] for _ in range(35)]
for feat_i in range(35):
pos_node = feat_i # +att node
neg_node = feat_i + 35 # -att node
prev_label = None
for t in range(T_audio):
frame = logits[t]
best_overall = int(np.argmax(frame))
if best_overall == blank_idx:
prev_label = None # blank resets run
continue
# Among pos/neg for this feature, pick the winner
label = 1 if frame[pos_node] >= frame[neg_node] else 0
# CTC run-length collapse
if label != prev_label:
feature_seqs[feat_i].append(label)
prev_label = label
return feature_seqs
|