| """TriClock: synthetic fixed-camera streams; task = temporal LOCALIZATION. |
| |
| Three objects (light color, agent position, furniture presence) each may undergo |
| one persistent change at an age drawn LOG-UNIFORM over [1, T]. The label per |
| object is WHEN it changed, bucketed by timescale: |
| |
| 0 = no change 1 = fast (age 1-8) 2 = med (9-128) 3 = slow (129-T) |
| |
| Why localization, not detection: any single old reference detects a persistent |
| change; only a schedule that BRACKETS the change age (a post-change slot below, |
| a pre-change slot above, within one bucket) can localize it. Log-backoff gives |
| uniform relative bracketing precision at every timescale — that's the claim |
| under test. |
| |
| Anti-cheat properties: the current frame alone is uninformative (light colors |
| and agent positions are random per episode; 25% of episodes never had |
| furniture, so absence now does not imply removal). |
| |
| Frames render functionally: frame(t) is deterministic given the episode seed, |
| so only the K+1 frames a policy looks at are ever rendered. |
| """ |
|
|
| import numpy as np |
|
|
| IMG = 32 |
| T_HORIZON = 1024 |
| FAST_MAX, MED_MAX = 8, 128 |
|
|
| _COLORS = np.array([ |
| [0.9, 0.2, 0.2], [0.2, 0.9, 0.2], [0.2, 0.4, 0.9], [0.9, 0.9, 0.2], |
| [0.9, 0.2, 0.9], [0.2, 0.9, 0.9], [0.95, 0.6, 0.1], [0.7, 0.7, 0.7], |
| ]) |
|
|
|
|
| def bucket(age, T=T_HORIZON): |
| if age is None: |
| return 0 |
| return 1 if age <= FAST_MAX else (2 if age <= MED_MAX else 3) |
|
|
|
|
| def _rect(img, x, y, w, h, color): |
| img[max(0, y):y + h, max(0, x):x + w] = color |
|
|
|
|
| class Episode: |
| def __init__(self, seed, horizon=T_HORIZON): |
| rng = np.random.default_rng(seed) |
| self.horizon = horizon |
|
|
| self.bg = [(rng.integers(0, IMG - 6), rng.integers(0, IMG - 6), |
| rng.integers(4, 10), rng.integers(4, 10), |
| _COLORS[rng.integers(0, 8)] * 0.5) for _ in range(4)] |
|
|
| def change_age(): |
| if rng.random() < 0.5: |
| return None |
| return int(round(np.exp(rng.uniform(0, np.log(horizon))))) |
|
|
| self.age_light = change_age() |
| self.age_agent = change_age() |
| self.age_furn = change_age() |
|
|
| |
| i, j = rng.choice(8, size=2, replace=False) |
| self.light_c1, self.light_c2 = _COLORS[i], _COLORS[j] |
| self.light_pos = (int(rng.integers(0, IMG - 5)), int(rng.integers(0, IMG - 5))) |
|
|
| |
| self.agent_a = (int(rng.integers(0, IMG - 4)), int(rng.integers(0, IMG - 4))) |
| self.agent_b = (int(rng.integers(0, IMG - 4)), int(rng.integers(0, IMG - 4))) |
|
|
| |
| self.furn_exists = bool(rng.random() < 0.75) |
| if not self.furn_exists: |
| self.age_furn = None |
| self.furn_pos = (int(rng.integers(0, IMG - 7)), int(rng.integers(0, IMG - 7))) |
| self.furn_color = _COLORS[rng.integers(0, 8)] |
|
|
| self.ages = (self.age_light, self.age_agent, self.age_furn) |
| self.labels = np.array([bucket(a, horizon) for a in self.ages], dtype=np.int64) |
|
|
| @staticmethod |
| def _after(age_of_change, query_age): |
| return age_of_change is not None and query_age < age_of_change |
|
|
| def frame(self, age): |
| img = np.full((IMG, IMG, 3), 0.08, dtype=np.float32) |
| for x, y, w, h, c in self.bg: |
| _rect(img, int(x), int(y), int(w), int(h), c) |
| if self.furn_exists and not self._after(self.age_furn, age): |
| _rect(img, *self.furn_pos, 7, 7, self.furn_color) |
| ax, ay = self.agent_b if self._after(self.age_agent, age) else self.agent_a |
| _rect(img, ax, ay, 4, 4, np.array([1.0, 1.0, 1.0])) |
| lc = self.light_c2 if self._after(self.age_light, age) else self.light_c1 |
| _rect(img, *self.light_pos, 5, 5, lc) |
| return img |
|
|
| def oracle_identifiable(self, slot_ages): |
| """Bucket identifiable iff slots bracket the change age within one bucket. |
| |
| Consistent age interval given slots: (lo, hi] with lo = newest slot that |
| looks pre-change-free (age < a), hi = oldest slot showing pre-change |
| state (age >= a). Identifiable iff the whole interval maps to one bucket. |
| For no-change objects: identifiable iff coverage reaches the horizon. |
| """ |
| slot_ages = sorted(int(a) for a in slot_ages) |
| out = [] |
| for a in self.ages: |
| if a is None: |
| out.append(slot_ages and slot_ages[-1] >= self.horizon) |
| continue |
| lo = max([s for s in slot_ages if s < a], default=0) |
| hi = min([s for s in slot_ages if s >= a], default=None) |
| if hi is None: |
| out.append(False) |
| else: |
| out.append(bucket(lo + 1) == bucket(hi)) |
| return np.array(out, dtype=bool) |
|
|
|
|
| def make_batch(seeds, ages_fn, rng): |
| """(frames [B,K+1,H,W,3], ages [B,K+1], labels [B,3] int64). Slot 0 = now.""" |
| frames, ages_all, labels = [], [], [] |
| for s in seeds: |
| ep = Episode(int(s)) |
| ages = ages_fn(rng) |
| fs = [ep.frame(0)] + [ep.frame(int(a)) for a in ages] |
| frames.append(np.stack(fs)) |
| ages_all.append(np.array([0] + list(ages), dtype=np.float32)) |
| labels.append(ep.labels) |
| return np.stack(frames), np.stack(ages_all), np.stack(labels) |
|
|