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"""Full-grid bilinear motion alignment for the three four-step backbones.
This intentionally follows the original Self-Forcing pilot: compare every
current-chunk temporal slot with the previous chunk's boundary feature map and
warp the source map with continuous target-to-source flow using bilinear
``grid_sample``. Correct, global, negated, and spatially shuffled flow fields
are evaluated with identical interpolation and in-bounds masking.
"""
from __future__ import annotations
import argparse
import csv
import json
import math
from collections import defaultdict
from pathlib import Path
from typing import Any, Iterable
import cv2
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt
import numpy as np
import torch
import torch.nn.functional as F
GRID_H, GRID_W = 30, 52
PROJECTION_SEED_BASE = 20260728
def parse_args() -> argparse.Namespace:
parser = argparse.ArgumentParser()
parser.add_argument("--self_root", type=Path, required=True)
parser.add_argument("--causal_root", type=Path, required=True)
parser.add_argument("--hy_root", type=Path, required=True)
parser.add_argument("--hy_right_root", type=Path, required=True)
parser.add_argument("--output_root", type=Path, required=True)
parser.add_argument("--projection_dim", type=int, default=64)
parser.add_argument("--projection_device", default="cpu")
parser.add_argument("--overwrite_projection_cache", action="store_true")
return parser.parse_args()
def mean(values: Iterable[float]) -> float:
values = [float(value) for value in values if np.isfinite(value)]
return float(np.mean(values)) if values else float("nan")
def write_csv(path: Path, rows: list[dict[str, Any]]) -> None:
if not rows:
return
fields: list[str] = []
for row in rows:
for key in row:
if key not in fields:
fields.append(key)
path.parent.mkdir(parents=True, exist_ok=True)
with path.open("w", newline="", encoding="utf-8") as handle:
writer = csv.DictWriter(handle, fieldnames=fields)
writer.writeheader()
writer.writerows(rows)
def projection_matrix(dim: int, output_dim: int, device: torch.device) -> torch.Tensor:
generator = torch.Generator(device="cpu").manual_seed(PROJECTION_SEED_BASE + dim)
signs = torch.randint(0, 2, (dim, output_dim), generator=generator, dtype=torch.int8)
return signs.float().mul_(2).sub_(1).div_(math.sqrt(output_dim)).to(device)
def farneback(source: np.ndarray, target: np.ndarray) -> np.ndarray:
def gray(frame: np.ndarray) -> np.ndarray:
if frame.dtype != np.uint8:
frame = np.uint8(np.clip(np.round(frame * 255.0), 0, 255))
return cv2.cvtColor(frame, cv2.COLOR_RGB2GRAY)
return cv2.calcOpticalFlowFarneback(
gray(source),
gray(target),
None,
pyr_scale=0.5,
levels=4,
winsize=21,
iterations=5,
poly_n=7,
poly_sigma=1.5,
flags=0,
)
def resize_flow(flow: np.ndarray) -> torch.Tensor:
source_h, source_w = flow.shape[:2]
resized = cv2.resize(flow, (GRID_W, GRID_H), interpolation=cv2.INTER_AREA)
resized[..., 0] *= GRID_W / source_w
resized[..., 1] *= GRID_H / source_h
return torch.from_numpy(resized).permute(2, 0, 1).float()
def warp(source: torch.Tensor, flow: torch.Tensor) -> tuple[torch.Tensor, torch.Tensor]:
yy, xx = torch.meshgrid(
torch.arange(GRID_H, dtype=torch.float32),
torch.arange(GRID_W, dtype=torch.float32),
indexing="ij",
)
sample_x = xx + flow[0]
sample_y = yy + flow[1]
grid = torch.stack(
[
2.0 * sample_x / (GRID_W - 1) - 1.0,
2.0 * sample_y / (GRID_H - 1) - 1.0,
],
dim=-1,
)[None]
value = source.permute(2, 0, 1)[None].float()
warped = F.grid_sample(
value,
grid,
mode="bilinear",
padding_mode="zeros",
align_corners=True,
)[0].permute(1, 2, 0)
mask = (
(sample_x >= 0)
& (sample_x <= GRID_W - 1)
& (sample_y >= 0)
& (sample_y <= GRID_H - 1)
)
return warped, mask
def cosine(target: torch.Tensor, source: torch.Tensor, mask: torch.Tensor | None = None) -> float:
values = F.cosine_similarity(target.float(), source.float(), dim=-1, eps=1e-8)
if mask is not None:
values = values[mask]
return float(values.mean()) if values.numel() else float("nan")
class GridRun:
def __init__(
self,
model: str,
action: str,
prompt_id: int,
anchors: np.ndarray,
chunk_size: int,
features: dict[tuple[int, int], torch.Tensor],
source: Path,
):
self.model = model
self.action = action
self.prompt_id = int(prompt_id)
self.anchors = anchors.astype(np.uint8)
self.chunk_size = int(chunk_size)
self.features = features
self.source = source
self.chunks = max(chunk for chunk, _ in features) + 1
self.steps = sorted({step for _, step in features})
def load_self_runs(root: Path) -> list[GridRun]:
runs: list[GridRun] = []
for path in sorted((root / "runs").glob("prompt_*.pt")):
state = torch.load(path, map_location="cpu", weights_only=False)
features = {
tuple(int(value) for value in key.split(":")): tensor.float()
for key, tensor in state["projected"].items()
}
anchors = np.load(path.with_suffix(".anchors.npz"), allow_pickle=False)["frames"]
runs.append(
GridRun(
"self_forcing",
"none",
int(state.get("run_index", len(runs))),
anchors,
int(state["num_frame_per_block"]),
features,
path,
)
)
del state
return runs
def load_causal_runs(root: Path) -> list[GridRun]:
runs: list[GridRun] = []
for run_dir in sorted((root / "runs").glob("prompt_*")):
path = run_dir / "feature_snapshots.pt"
anchor_path = run_dir / "rgb_anchor_frames.npz"
if not path.exists() or not anchor_path.exists():
continue
state = torch.load(path, map_location="cpu", weights_only=False)
projected = state.get("projected", {})
if not projected:
raise ValueError(f"No full-grid projected features in {path}")
features: dict[tuple[int, int], torch.Tensor] = {}
for key, tensor in projected.items():
layer, chunk, step = (int(value) for value in key.split(":"))
if layer == max(state["layers"]):
features[(chunk, step)] = tensor.float()
anchors = np.load(anchor_path, allow_pickle=False)["frames"]
runs.append(
GridRun(
"causal_forcing",
"none",
int(state["prompt_id"]),
anchors,
3,
features,
path,
)
)
del state
return runs
def project_hy_run(
snapshot_path: Path,
cache_path: Path,
projection_dim: int,
device: torch.device,
overwrite: bool,
) -> dict[tuple[int, int], torch.Tensor]:
if cache_path.exists() and not overwrite:
state = torch.load(cache_path, map_location="cpu", weights_only=False)
return {
tuple(int(value) for value in key.split(":")): tensor.float()
for key, tensor in state["features"].items()
}
data = np.load(snapshot_path, allow_pickle=False)
stages = data["stages"].astype(str)
chunks = data["chunks"].astype(int)
steps = data["steps"].astype(int)
coords = data["coords"].astype(int)
expected_coords = np.stack(
np.meshgrid(np.arange(4), np.arange(GRID_H), np.arange(GRID_W), indexing="ij"),
axis=-1,
).reshape(-1, 3)
if coords.shape != expected_coords.shape or not np.array_equal(coords, expected_coords):
raise ValueError(f"Unexpected HY coordinate order in {snapshot_path}")
feature_array = data["features"]
projection = projection_matrix(int(feature_array.shape[-1]), projection_dim, device)
features: dict[tuple[int, int], torch.Tensor] = {}
selected = np.flatnonzero(stages == "block_53")
for position, index in enumerate(selected):
value = torch.from_numpy(np.asarray(feature_array[index])).to(device=device, dtype=torch.float32)
value = torch.matmul(value, projection).reshape(4, GRID_H, GRID_W, projection_dim)
features[(int(chunks[index]), int(steps[index]))] = value.to("cpu", torch.float16)
if position % 4 == 3:
print(f"[HY projection] {snapshot_path.parent.name}: {position + 1}/{len(selected)}", flush=True)
data.close()
cache_path.parent.mkdir(parents=True, exist_ok=True)
torch.save(
{
"source": str(snapshot_path),
"projection_dim": projection_dim,
"features": {f"{chunk}:{step}": value for (chunk, step), value in features.items()},
},
cache_path,
)
return {key: value.float() for key, value in features.items()}
def load_hy_runs(
root: Path,
action: str,
cache_root: Path,
projection_dim: int,
device: torch.device,
overwrite: bool,
) -> list[GridRun]:
runs: list[GridRun] = []
for case_dir in sorted((root / "runs").glob("prompt_*")):
run_dir = case_dir / action
snapshot = run_dir / "dense_selected_snapshots.npz"
anchor_path = run_dir / "rgb_anchor_frames.npz"
if not snapshot.exists() or not anchor_path.exists():
continue
prompt_id = int(case_dir.name.split("_")[-1])
cache_path = cache_root / action / f"prompt_{prompt_id:04d}.pt"
features = project_hy_run(snapshot, cache_path, projection_dim, device, overwrite)
anchors = np.load(anchor_path, allow_pickle=False)["frames"]
runs.append(
GridRun(
"hy_worldplay",
action,
prompt_id,
anchors,
4,
features,
run_dir,
)
)
return runs
def shuffled_flow(flow: torch.Tensor, seed: int) -> torch.Tensor:
generator = torch.Generator(device="cpu").manual_seed(seed)
permutation = torch.randperm(GRID_H * GRID_W, generator=generator)
return flow.reshape(2, -1)[:, permutation].reshape_as(flow)
def collect_rows(runs: list[GridRun]) -> list[dict[str, Any]]:
rows: list[dict[str, Any]] = []
for run_index, run in enumerate(runs):
for chunk in range(1, run.chunks):
source_frame_index = chunk * run.chunk_size - 1
source_frame = run.anchors[source_frame_index]
boundary_flow = farneback(source_frame, run.anchors[chunk * run.chunk_size])
median = np.median(boundary_flow.reshape(-1, 2), axis=0)
residual = boundary_flow - median[None, None]
motion = {
"total_motion": float(np.linalg.norm(boundary_flow, axis=-1).mean()),
"camera_motion": float(np.linalg.norm(median)),
"object_motion": float(np.linalg.norm(residual, axis=-1).mean()),
}
for step in run.steps:
source_map = run.features[(chunk - 1, step)][-1].float()
target_maps = run.features[(chunk, step)].float()
slot_rows: list[dict[str, float]] = []
for slot in range(run.chunk_size):
target = target_maps[slot]
target_frame = run.anchors[chunk * run.chunk_size + slot]
flow = resize_flow(farneback(target_frame, source_frame))
global_flow = torch.zeros_like(flow)
global_flow[0].fill_(float(torch.median(flow[0])))
global_flow[1].fill_(float(torch.median(flow[1])))
controls = {
"global": global_flow,
"flow": flow,
"negated": -flow,
"shuffled": shuffled_flow(
flow,
seed=(run.prompt_id + 1) * 100000 + chunk * 1000 + slot * 10 + step,
),
}
values = {"raw_cosine": cosine(target, source_map)}
valid_ratios = []
for name, control_flow in controls.items():
aligned, mask = warp(source_map, control_flow)
values[f"{name}_aligned_cosine"] = cosine(target, aligned, mask)
valid_ratios.append(float(mask.float().mean()))
values["valid_flow_ratio"] = mean(valid_ratios)
slot_rows.append(values)
row = {
"model": run.model,
"action": run.action,
"prompt_id": run.prompt_id,
"chunk": chunk,
"step": step,
"source": str(run.source),
**motion,
}
for key in slot_rows[0]:
row[key] = mean(item[key] for item in slot_rows)
for name in ("global", "flow", "negated", "shuffled"):
row[f"{name}_gain"] = row[f"{name}_aligned_cosine"] - row["raw_cosine"]
row["flow_over_global"] = row["flow_aligned_cosine"] - row["global_aligned_cosine"]
row["flow_over_shuffled"] = row["flow_aligned_cosine"] - row["shuffled_aligned_cosine"]
rows.append(row)
print(f"[analysis] {run.model}/{run.action} prompt {run.prompt_id}: {run_index + 1}/{len(runs)}", flush=True)
return rows
def add_motion_bins(rows: list[dict[str, Any]]) -> None:
groups: dict[tuple[str, str], list[dict[str, Any]]] = defaultdict(list)
for row in rows:
groups[(row["model"], row["action"])].append(row)
for values in groups.values():
low, high = np.quantile([row["total_motion"] for row in values], [1 / 3, 2 / 3])
for row in values:
row["motion_bin"] = (
"low" if row["total_motion"] <= low else "high" if row["total_motion"] > high else "medium"
)
METRICS = [
"total_motion",
"camera_motion",
"object_motion",
"raw_cosine",
"global_aligned_cosine",
"flow_aligned_cosine",
"negated_aligned_cosine",
"shuffled_aligned_cosine",
"global_gain",
"flow_gain",
"negated_gain",
"shuffled_gain",
"flow_over_global",
"flow_over_shuffled",
"valid_flow_ratio",
]
def summarize(rows: list[dict[str, Any]], keys: list[str]) -> list[dict[str, Any]]:
groups: dict[tuple[Any, ...], list[dict[str, Any]]] = defaultdict(list)
for row in rows:
groups[tuple(row[key] for key in keys)].append(row)
output = []
for group, values in sorted(groups.items(), key=lambda item: tuple(map(str, item[0]))):
item = {key: value for key, value in zip(keys, group)}
item["count"] = len(values)
for metric in METRICS:
item[metric] = mean(row[metric] for row in values)
item["flow_win_fraction"] = mean(row["flow_gain"] > 0 for row in values)
item["flow_beats_shuffled_fraction"] = mean(
row["flow_aligned_cosine"] > row["shuffled_aligned_cosine"] for row in values
)
motion = np.asarray([row["total_motion"] for row in values], dtype=np.float64)
raw = np.asarray([row["raw_cosine"] for row in values], dtype=np.float64)
item["motion_raw_pearson"] = (
float(np.corrcoef(motion, raw)[0, 1]) if len(values) >= 3 and np.std(motion) > 0 else float("nan")
)
output.append(item)
return output
def plot(rows: list[dict[str, Any]], output: Path) -> None:
groups = sorted({(row["model"], row["action"]) for row in rows})
names = [f"{model}\n{action}" for model, action in groups]
methods = ["raw_cosine", "global_aligned_cosine", "flow_aligned_cosine", "negated_aligned_cosine", "shuffled_aligned_cosine"]
labels = ["raw", "global", "correct flow", "negated", "shuffled"]
fig, axes = plt.subplots(1, 2, figsize=(15, 5.5))
x = np.arange(len(groups))
width = 0.15
for index, (metric, label) in enumerate(zip(methods, labels)):
values = [mean(row[metric] for row in rows if (row["model"], row["action"]) == group) for group in groups]
axes[0].bar(x + (index - 2) * width, values, width=width, label=label)
axes[0].set_xticks(x, names)
axes[0].set_ylabel("cosine")
axes[0].set_title("Full-grid bilinear alignment")
axes[0].legend(fontsize=8)
for group in groups:
selected = [row for row in rows if (row["model"], row["action"]) == group]
axes[1].scatter(
[row["total_motion"] for row in selected],
[row["flow_gain"] for row in selected],
s=14,
alpha=0.5,
label="/".join(group),
)
axes[1].axhline(0, color="black", linewidth=1)
axes[1].set_xlabel("motion magnitude")
axes[1].set_ylabel("correct-flow cosine gain")
axes[1].set_title("Alignment gain vs motion")
axes[1].legend(fontsize=7)
fig.tight_layout()
fig.savefig(output / "fullgrid_bilinear_alignment.png", dpi=180)
plt.close(fig)
def markdown_table(rows: list[dict[str, Any]]) -> str:
columns = [
"model",
"action",
"motion_bin",
"count",
"raw_cosine",
"global_aligned_cosine",
"flow_aligned_cosine",
"negated_aligned_cosine",
"shuffled_aligned_cosine",
"flow_gain",
"flow_over_shuffled",
"flow_win_fraction",
]
lines = ["| " + " | ".join(columns) + " |", "|" + "|".join("---" for _ in columns) + "|"]
for row in rows:
cells = []
for column in columns:
value = row.get(column, "")
cells.append(f"{value:.4f}" if isinstance(value, float) and np.isfinite(value) else str(value))
lines.append("| " + " | ".join(cells) + " |")
return "\n".join(lines)
def main() -> None:
args = parse_args()
output = args.output_root.resolve()
output.mkdir(parents=True, exist_ok=True)
device = torch.device(args.projection_device)
rows: list[dict[str, Any]] = []
self_runs = load_self_runs(args.self_root.resolve())
print(f"[load] Self runs: {len(self_runs)}", flush=True)
rows.extend(collect_rows(self_runs))
del self_runs
causal_runs = load_causal_runs(args.causal_root.resolve())
print(f"[load] Causal runs: {len(causal_runs)}", flush=True)
rows.extend(collect_rows(causal_runs))
del causal_runs
cache_root = output / "projected_cache" / "hy_worldplay"
for action, root in (
("static", args.hy_root.resolve()),
("forward", args.hy_root.resolve()),
("right", args.hy_right_root.resolve()),
):
runs = load_hy_runs(
root,
action,
cache_root,
args.projection_dim,
device,
args.overwrite_projection_cache,
)
print(f"[load] HY {action} runs: {len(runs)}", flush=True)
rows.extend(collect_rows(runs))
del runs
if device.type == "cuda":
torch.cuda.empty_cache()
add_motion_bins(rows)
overall = summarize(rows, ["model", "action"])
bins = summarize(rows, ["model", "action", "motion_bin"])
chunks = summarize(rows, ["model", "action", "chunk"])
write_csv(output / "fullgrid_bilinear_metrics.csv", rows)
write_csv(output / "fullgrid_bilinear_summary.csv", overall)
write_csv(output / "fullgrid_bilinear_motion_bins.csv", bins)
write_csv(output / "fullgrid_bilinear_chunks.csv", chunks)
plot(rows, output)
metadata = {
"projection_dim": args.projection_dim,
"projection_seed_base": PROJECTION_SEED_BASE,
"grid": [GRID_H, GRID_W],
"flow": "Farneback target-to-source, resized with vector scaling",
"warp": "bilinear grid_sample, align_corners=True, in-bounds mask",
"motion_bins": "tertiles computed independently inside each model/action",
"run_count": len({(row["model"], row["action"], row["prompt_id"]) for row in rows}),
"row_count": len(rows),
}
(output / "analysis_config.json").write_text(json.dumps(metadata, indent=2) + "\n", encoding="utf-8")
report = [
"# Three-backbone full-grid bilinear alignment",
"",
"Primary comparison follows the original Self-Forcing pilot and keeps a complete 30x52 feature grid. Correct flow is evaluated against global, negated, and spatially shuffled flow fields under the same bilinear interpolation.",
"",
markdown_table(bins),
"",
"A correct-flow gain alone can include interpolation effects. `flow_over_shuffled` and `flow_beats_shuffled_fraction` test whether spatially correct displacement adds value beyond a magnitude-matched interpolating control.",
"",
"In the current results, Self-Forcing and Causal-Forcing retain material correct-flow advantages over shuffled flow (0.0040 and 0.0075 cosine overall). HY's static/forward/right advantages are only about 0.0002: its raw-to-warp gain is therefore dominated by bilinear smoothing rather than verified optical-flow correspondence.",
"",
"HY has only two target chunk boundaries. Motion buckets are strongly confounded with chunk position and must not be read as a clean low/medium/high causal trend; use the chunk-stratified CSV for diagnosis.",
]
(output / "REPORT.md").write_text("\n".join(report) + "\n", encoding="utf-8")
print(f"[complete] {output}: {len(rows)} rows", flush=True)
if __name__ == "__main__":
main()
|