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+"""Natural-data field pipeline: continuous states and content projection.
+
+Produces the field correlation reported for Visual Genome. Two choices
+carry most of it, both measured. States stay continuous -- quantising
+segments and phrases into class codes costs more than half the signal,
+because relation fields need scene similarity and nothing else. And each
+side is projected onto the directions that separate scenes rather than
+parts, fitted per modality on scenes outside the evaluated set.
+
+Vision states come from `natural_objects`; language states are
+positive-PMI context vectors of the corpus, averaged per phrase. Hidden
+pairs are read only to report the correlation.
+"""
+
+from __future__ import annotations
+
+import argparse
+import json
+import re
+from collections import Counter
+from pathlib import Path
+
+import numpy as np
+import torch
+import torch.nn.functional as F
+from scipy.linalg import eigh
+from sklearn.decomposition import TruncatedSVD
+
+from .common import read_json, seed_everything, write_json
+from .natural_families import load_phrases, statistics
+from .synth_cc_battery import moment_field
+
+
+def parse_args() -> argparse.Namespace:
+ parser = argparse.ArgumentParser()
+ parser.add_argument("--vg-dir", default="artifacts/vg_5k")
+ parser.add_argument("--objects", default="artifacts/vg_5k/natural_objects.pt")
+ parser.add_argument("--samples", type=int, default=256)
+ parser.add_argument("--fit-scenes", type=int, default=1200)
+ parser.add_argument("--word-vectors", type=int, default=48)
+ parser.add_argument("--min-count", type=int, default=60)
+ parser.add_argument("--max-vocabulary", type=int, default=600)
+ parser.add_argument("--context-window", type=int, default=2)
+ parser.add_argument("--keep", type=int, default=8)
+ parser.add_argument("--shrinkage", type=float, default=0.05)
+ parser.add_argument("--views", type=int, default=1)
+ parser.add_argument("--seed", type=int, default=0)
+ parser.add_argument("--output", default="artifacts/vg_5k/natural_pipeline.pt")
+ return parser.parse_args()
+
+
+def word_vectors(
+ phrases: list[list[str]], args: argparse.Namespace
+) -> dict[str, np.ndarray]:
+ """Positive-PMI context vectors, reduced by truncated SVD."""
+ counts = Counter(token for tokens in phrases for token in set(tokens))
+ vocabulary = [
+ word
+ for word, count in counts.most_common(args.max_vocabulary)
+ if count >= args.min_count
+ ]
+ _, _, context = statistics(phrases, set(vocabulary), args.context_window)
+ features = sorted({key for word in vocabulary for key in context[word]})
+ index = {key: position for position, key in enumerate(features)}
+ matrix = np.zeros((len(vocabulary), len(features)))
+ for row, word in enumerate(vocabulary):
+ for key, value in context[word].items():
+ matrix[row, index[key]] = value
+ total = matrix.sum()
+ expected = matrix.sum(1, keepdims=True) * matrix.sum(0, keepdims=True) / total
+ pmi = np.log(np.maximum(matrix, 1e-9) / np.maximum(expected, 1e-9))
+ pmi[matrix == 0] = 0.0
+ embedding = TruncatedSVD(args.word_vectors, random_state=args.seed).fit_transform(
+ np.maximum(pmi, 0.0)
+ )
+ embedding /= np.linalg.norm(embedding, axis=1, keepdims=True).clip(1e-9)
+ return {word: embedding[row] for row, word in enumerate(vocabulary)}
+
+
+def content_directions(
+ sets: list[np.ndarray], shrinkage: float
+) -> tuple[np.ndarray, np.ndarray]:
+ """Directions separating scenes more than they separate parts."""
+ means = np.stack([item.mean(0) for item in sets])
+ centre = means.mean(0)
+ within = np.concatenate([item - item.mean(0, keepdims=True) for item in sets])
+ scatter_within = within.T @ within / max(len(within) - 1, 1)
+ centred = means - centre
+ scatter_between = centred.T @ centred / max(len(centred) - 1, 1)
+ trace = np.trace(scatter_within) / len(scatter_within)
+ values, vectors = eigh(
+ scatter_between, scatter_within + shrinkage * trace * np.eye(len(scatter_within))
+ )
+ return centre, vectors[:, np.argsort(values)[::-1]]
+
+
+def main() -> None:
+ args = parse_args()
+ seed_everything(args.seed)
+ vg_dir = Path(args.vg_dir)
+ truth = [
+ json.loads(line)
+ for line in (vg_dir / "ground_truth.private.jsonl")
+ .read_text(encoding="utf-8")
+ .splitlines()
+ if line.strip()
+ ]
+ records = {
+ json.loads(line)["node_id"]: json.loads(line)
+ for line in (vg_dir / "text_nodes.jsonl").read_text(encoding="utf-8").splitlines()
+ if line.strip()
+ }
+ state = torch.load(args.objects, map_location="cpu", weights_only=False)
+ per_view = state.get("view_segments") or [state["segments"]]
+ views = min(args.views, len(per_view))
+ index = {node: position for position, node in enumerate(state["node_ids"])}
+
+ vectors = word_vectors(load_phrases(vg_dir / "text_nodes.jsonl", "region_closed"), args)
+
+ def language_state(node: str) -> np.ndarray | None:
+ rows = []
+ for phrase in records[node]["region_closed"]:
+ hits = [vectors[token] for token in re.findall(r"[a-z]+", phrase.lower())
+ if token in vectors]
+ if hits:
+ rows.append(np.mean(hits, axis=0))
+ return np.stack(rows) if rows else None
+
+ def vision_state(node: str, view: int) -> np.ndarray | None:
+ segments = per_view[view][index[node]]
+ return (
+ np.stack([item["feature"] for item in segments]).astype(np.float64)
+ if segments
+ else None
+ )
+
+ pairs = [
+ pair
+ for pair in truth
+ if pair["vision_node_id"] in index and pair["text_node_id"] in records
+ ]
+ fit = pairs[args.samples : args.samples + args.fit_scenes]
+ language_fit = [language_state(p["text_node_id"]) for p in fit]
+ language_fit = [item for item in language_fit if item is not None and len(item) > 1]
+ vision_fit = [vision_state(p["vision_node_id"], 0) for p in fit]
+ vision_fit = [item for item in vision_fit if item is not None and len(item) > 1]
+ language_centre, language_basis = content_directions(language_fit, args.shrinkage)
+ vision_centre, vision_basis = content_directions(vision_fit, args.shrinkage)
+
+ evaluated = [
+ pair for pair in pairs[: args.samples]
+ if language_state(pair["text_node_id"]) is not None
+ ]
+ keep = args.keep
+
+ def project(raw: np.ndarray, centre: np.ndarray, basis: np.ndarray) -> torch.Tensor:
+ width = min(keep, basis.shape[1])
+ return F.normalize(
+ torch.tensor((raw - centre) @ basis[:, :width], dtype=torch.float32), dim=-1
+ )
+
+ text_sets = [
+ project(language_state(p["text_node_id"]), language_centre, language_basis)
+ for p in evaluated
+ ]
+ view_fields = []
+ for view in range(views):
+ sets = [
+ project(vision_state(p["vision_node_id"], view), vision_centre, vision_basis)
+ for p in evaluated
+ ]
+ view_fields.append(moment_field(sets))
+ visual_field = torch.stack(view_fields).mean(0)
+ text_field = moment_field(text_sets)
+
+ mask = ~np.eye(len(evaluated), dtype=bool)
+ correlation = float(
+ np.corrcoef(
+ visual_field.double().numpy()[mask], text_field.double().numpy()[mask]
+ )[0, 1]
+ )
+ torch.save(
+ {"visual_field": visual_field, "text_field": text_field,
+ "nodes": [p["vision_node_id"] for p in evaluated]},
+ args.output,
+ )
+ summary = {
+ "protocol": (
+ "Continuous states, content projection fitted per modality on "
+ "scenes outside the evaluated set. Hidden pairs are read only "
+ "for the correlation."
+ ),
+ "samples": len(evaluated),
+ "views": views,
+ "kept_directions": keep,
+ "field_correlation_at_truth": correlation,
+ "recovery_threshold": 0.9,
+ }
+ print(json.dumps(summary))
+ write_json(str(args.output).replace(".pt", ".json"), summary)
+
+
+if __name__ == "__main__":
+ main()