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c4c9192 5ee3a5e c4c9192 5ee3a5e c4c9192 5ee3a5e c4c9192 5ee3a5e c4c9192 5ee3a5e c4c9192 | 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 | """P Formula v1의 실제 symbol group을 formula-relative 128×19 학습 tensor로 만든다."""
from __future__ import annotations
from dataclasses import dataclass
import math
from typing import Any, Sequence
import torch
from torch import Tensor
from .ink06_canonical import CanonicalInk06, canonicalize_ink06
from .trajectory_sequence import visual_label_family
@dataclass(frozen=True, slots=True)
class PFormulaTensorBatch06:
"""필요 변수: symbol tensor·정답·identity·결측 flag. 작동 원리: metric 분모를 잃지 않는 split batch를 보존한다."""
features: Tensor
truths: tuple[str, ...]
writer_ids: tuple[str, ...]
device_ids: tuple[str, ...]
source_ids: tuple[str, ...]
timestamp_missing: Tensor
pressure_missing: Tensor
def _formula_box06(record: dict[str, Any]) -> tuple[float, float, float, float]:
"""필요 변수: 한 P Formula record. 작동 원리: 모든 symbol stroke의 실제 ink bbox를 계산한다."""
points = [
point
for symbol in record["symbols"]
for stroke in symbol["strokes"]
for point in stroke
]
if not points:
raise ValueError(f"formula {record.get('formula_id')}에 point가 없습니다.")
try:
xs = [float(point["x"]) for point in points]
ys = [float(point["y"]) for point in points]
except (KeyError, TypeError, ValueError) as error:
raise ValueError("P Formula point x/y가 유효하지 않습니다.") from error
if not all(math.isfinite(value) for value in (*xs, *ys)):
raise ValueError("P Formula point에 비유한 좌표가 있습니다.")
return min(xs), min(ys), max(xs), max(ys)
def p_formula_symbol_ink06(
symbol: dict[str, Any],
*,
formula_box: tuple[float, float, float, float],
) -> CanonicalInk06:
"""필요 변수: 정답 symbol·전체 formula bbox. 작동 원리: 원본 필순과 formula-relative 위치를 canonical ink로 보존한다."""
left, top, right, bottom = formula_box
width = max(right - left, 1e-5)
height = max(bottom - top, 1e-5)
strokes = []
observed_timestamps = True
for order, raw_stroke in enumerate(symbol["strokes"]):
if not isinstance(raw_stroke, list) or not raw_stroke:
raise ValueError("P Formula symbol stroke가 비어 있습니다.")
points = []
for point in raw_stroke:
timestamp = point.get("t")
observed_timestamps = observed_timestamps and timestamp is not None
points.append({
"x": float(point["x"]) - left,
"y": float(point["y"]) - top,
"t_ms": None if timestamp is None else float(timestamp),
})
strokes.append({"stroke_id": order, "order": order, "points": points})
return canonicalize_ink06(
strokes,
canvas_width=width,
canvas_height=height,
source_modality="online",
trust_timestamps=observed_timestamps,
)
def p_formula_symbol_feature06(
symbol: dict[str, Any],
*,
formula_box: tuple[float, float, float, float],
) -> Tensor:
"""필요 변수: 정답 symbol·전체 formula bbox. 작동 원리: canonical ink의 128×19 feature를 학습 tensor로 변환한다."""
ink = p_formula_symbol_ink06(symbol, formula_box=formula_box)
return torch.from_numpy(ink.features)
def materialize_p_formula_split06(
records: Sequence[dict[str, Any]],
*,
allowed_labels: Sequence[str],
) -> PFormulaTensorBatch06:
"""필요 변수: 한 split P Formula records·378 vocabulary. 작동 원리: truth group별 tensor와 identity/결측 slice를 함께 만든다."""
allowed = set(str(label) for label in allowed_labels)
if len(allowed) != len(allowed_labels):
raise ValueError("P Formula vocabulary에 중복 label이 있습니다.")
features: list[Tensor] = []
truths: list[str] = []
writers: list[str] = []
devices: list[str] = []
sources: list[str] = []
timestamp_missing: list[bool] = []
pressure_missing: list[bool] = []
for record in records:
formula_box = _formula_box06(record)
writer = str(record["writer_id"])
device = str(record["device_id"])
source = str(record["source_id"])
for symbol in record["symbols"]:
label = str(symbol["token"])
if label not in allowed:
raise ValueError(f"0.6 vocabulary 밖 P Formula token입니다: {label}")
points = [point for stroke in symbol["strokes"] for point in stroke]
features.append(
p_formula_symbol_feature06(symbol, formula_box=formula_box),
)
truths.append(label)
writers.append(writer)
devices.append(device)
sources.append(source)
timestamp_missing.append(any(point.get("t") is None for point in points))
pressure_missing.append(any(point.get("pressure") is None for point in points))
if not features:
raise ValueError("P Formula split에 지원 symbol이 없습니다.")
return PFormulaTensorBatch06(
features=torch.stack(features),
truths=tuple(truths),
writer_ids=tuple(writers),
device_ids=tuple(devices),
source_ids=tuple(sources),
timestamp_missing=torch.tensor(timestamp_missing, dtype=torch.bool),
pressure_missing=torch.tensor(pressure_missing, dtype=torch.bool),
)
def p_formula_release_metrics06(
exact_logits: Tensor,
exact_targets: Tensor,
*,
labels: Sequence[str],
writer_ids: Sequence[str],
source_ids: Sequence[str],
timestamp_missing: Tensor,
pressure_missing: Tensor,
) -> dict[str, Any]:
"""필요 변수: exact logit/정답·identity·결측 mask. 작동 원리: top-k·macro-F1·writer/source floor·결측 하락을 같은 분모로 계산한다."""
samples = len(exact_targets)
if (
exact_logits.ndim != 2
or exact_logits.shape[0] != samples
or len(writer_ids) != samples
or len(source_ids) != samples
or len(timestamp_missing) != samples
or len(pressure_missing) != samples
):
raise ValueError("P Formula release metric 분모가 서로 다릅니다.")
top_k = min(5, exact_logits.shape[1])
top = exact_logits.topk(top_k, dim=1).indices
prediction = top[:, 0]
correct = prediction.eq(exact_targets)
top5_correct = top.eq(exact_targets.unsqueeze(1)).any(dim=1)
visual_correct = torch.tensor([
visual_label_family(str(labels[int(predicted)]))
== visual_label_family(str(labels[int(truth)]))
for predicted, truth in zip(
prediction.tolist(),
exact_targets.tolist(),
strict=True,
)
])
supported = sorted(set(exact_targets.tolist()))
f1_values = []
for target in supported:
truth_mask = exact_targets == target
predicted_mask = prediction == target
true_positive = int((truth_mask & predicted_mask).sum())
false_positive = int((~truth_mask & predicted_mask).sum())
false_negative = int((truth_mask & ~predicted_mask).sum())
precision = true_positive / max(true_positive + false_positive, 1)
recall = true_positive / max(true_positive + false_negative, 1)
f1_values.append(
2 * precision * recall / max(precision + recall, 1e-12),
)
def identity_slice06(values: Sequence[str]) -> dict[str, Any]:
"""필요 변수: writer 또는 source ID. 작동 원리: identity별 top-1과 floor/p10을 집계한다."""
indices: dict[str, list[int]] = {}
for index, value in enumerate(values):
indices.setdefault(str(value), []).append(index)
accuracies = {
identity: float(correct[rows].float().mean())
for identity, rows in indices.items()
}
ordered = sorted(accuracies.values())
p10_index = min(int(len(ordered) * 0.10), max(len(ordered) - 1, 0))
return {
"count": len(accuracies),
"floor": min(ordered) if ordered else 0.0,
"p10": ordered[p10_index] if ordered else 0.0,
"accuracies": dict(sorted(accuracies.items())),
}
overall = float(correct.float().mean())
def missing_slice06(mask: Tensor) -> dict[str, float | int | None]:
"""필요 변수: symbol별 결측 mask. 작동 원리: 결측 분모와 전체 대비 top-1 하락을 분리한다."""
count = int(mask.sum())
if not count:
return {"samples": 0, "top1": None, "drop_pp": None}
accuracy = float(correct[mask].float().mean())
return {
"samples": count,
"top1": accuracy,
"drop_pp": (overall - accuracy) * 100.0,
}
return {
"samples": samples,
"exact_top1": overall,
"exact_top5": float(top5_correct.float().mean()),
"visual_family_top1": float(visual_correct.float().mean()),
"macro_f1": sum(f1_values) / max(len(f1_values), 1),
"supported_labels": len(supported),
"writer": identity_slice06(writer_ids),
"source": identity_slice06(source_ids),
"missing_slices": {
"timestamp": missing_slice06(timestamp_missing),
"pressure": missing_slice06(pressure_missing),
},
}
def p_formula_seed_gate06(
metrics: dict[str, Any],
*,
top1_minimum: float = 0.92,
top5_minimum: float = 0.99,
macro_f1_minimum: float = 0.90,
writer_floor_minimum: float = 0.75,
missing_drop_maximum_pp: float = 3.0,
) -> dict[str, Any]:
"""필요 변수: test release metric·명세 threshold. 작동 원리: 모든 정확도와 결측 slice를 AND gate로 판정한다."""
missing_pass = all(
row["drop_pp"] is None
or float(row["drop_pp"]) <= missing_drop_maximum_pp
for row in metrics["missing_slices"].values()
)
checks = {
"exact_top1": float(metrics["exact_top1"]) >= top1_minimum,
"exact_top5": float(metrics["exact_top5"]) >= top5_minimum,
"macro_f1": float(metrics["macro_f1"]) >= macro_f1_minimum,
"writer_floor": float(metrics["writer"]["floor"]) >= writer_floor_minimum,
"missing_slices": missing_pass,
}
return {
"checks": checks,
"passed": all(checks.values()),
"thresholds": {
"exact_top1": top1_minimum,
"exact_top5": top5_minimum,
"macro_f1": macro_f1_minimum,
"writer_floor": writer_floor_minimum,
"missing_drop_maximum_pp": missing_drop_maximum_pp,
},
}
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