""" DriftCal generative process. Everything here is deterministic given a seed. The design intent: - z in R^12 is a per-example latent "behavior vector", drawn from a class-conditional Gaussian mixture (one component per family, incl. benign). - x (observed features) = fixed nonlinear projection of z + noise, so the projection itself never changes across scenarios -- only the z-generating distribution or the y-given-z rule changes, which is what lets each shift mechanism be cleanly defined and later recovered/attributed. - Spurious features are downstream of the FINAL label y (not of z), so they carry a real but non-causal correlation with y that a shortcut-learning model can exploit; the spurious_ablation eval later breaks that correlation by shuffling these columns. All "world" parameters (projection matrices, family mean directions) are fixed by WORLD_SEED so they are identical across every split and scenario; only per-example noise / per-scenario z-sampling parameters vary. """ import hashlib import numpy as np Z_DIM = 12 N_CONTINUOUS = 48 N_BINARY = 16 N_SPURIOUS = 6 K_FEATURES = N_CONTINUOUS + N_BINARY + N_SPURIOUS # 70 total observed columns WORLD_SEED = 20260918 # ---- Family taxonomy ------------------------------------------------- # id 0 = benign. ids 1-12 = 12 malicious families in 4 superfamilies of 3. # ids 13-14 = 2 novel families, only ever instantiated in ood_test. SUPERFAMILIES = { "trojan": [1, 2, 3], "ransomware": [4, 5, 6], "spyware": [7, 8, 9], "worm": [10, 11, 12], } FAMILY_TO_SUPERFAMILY = {fid: sf for sf, ids in SUPERFAMILIES.items() for fid in ids} NOVEL_FAMILIES = [13, 14] FAMILY_TO_SUPERFAMILY[13] = "novel_a" FAMILY_TO_SUPERFAMILY[14] = "novel_b" ALL_TRAIN_FAMILIES = [0] + list(range(1, 13)) # benign + 12 known families FAMILY_NAMES = {0: "benign"} for sf, ids in SUPERFAMILIES.items(): for i, fid in enumerate(ids): FAMILY_NAMES[fid] = f"{sf}_{chr(ord('a') + i)}" FAMILY_NAMES[13] = "novel_a_x" FAMILY_NAMES[14] = "novel_b_x" # Concept-shift designated families: these two flip their binary label # (malicious -> benign) under the concept_shift mechanism only. CONCEPT_SHIFT_FLIP_FAMILIES = [3, 9] # one trojan family, one spyware family (default/small-scale) # Broader pool full-scale generation samples per-batch flip subsets from, so # T7 (mechanism attribution) sees varied concept-shift severity/composition # rather than one fixed pair every time -- two families per superfamily. CONCEPT_FLIP_CANDIDATE_POOL = [2, 3, 5, 6, 8, 9, 11, 12] DIFFICULTY_SIGMA = {"easy": 0.55, "medium": 0.85, "hard": 1.15, "expert": 1.45} def _rng(seed: int) -> np.random.Generator: return np.random.default_rng(seed) def stable_id(*parts) -> str: h = hashlib.sha1("|".join(str(p) for p in parts).encode()).hexdigest() return h[:16] class World: """Fixed, seed-derived generative-process parameters shared by every split.""" def __init__(self, seed: int = WORLD_SEED): rng = _rng(seed) n_families = len(FAMILY_NAMES) # Family mean directions in z-space: superfamilies share a coarse # direction (small shared offset) so within-superfamily families are # closer together than across superfamilies -- gives multi-class # structure that isn't just 13 arbitrary blobs. self.superfamily_offsets = {} for sf in list(SUPERFAMILIES.keys()) + ["novel_a", "novel_b"]: self.superfamily_offsets[sf] = rng.normal(0, 1, size=Z_DIM) self.superfamily_offsets[sf] /= np.linalg.norm(self.superfamily_offsets[sf]) self.family_means = {} self.family_means[0] = np.zeros(Z_DIM) # benign centered at origin separation = 3.2 for fid, name in FAMILY_NAMES.items(): if fid == 0: continue sf = FAMILY_TO_SUPERFAMILY[fid] base = self.superfamily_offsets[sf] * separation jitter = rng.normal(0, 0.35, size=Z_DIM) self.family_means[fid] = base + jitter # Fixed nonlinear projection z -> continuous features hidden_dim = 24 self.A1 = rng.normal(0, 0.6, size=(N_CONTINUOUS, Z_DIM)) self.A3 = rng.normal(0, 0.6, size=(hidden_dim, Z_DIM)) self.A2 = rng.normal(0, 0.5, size=(N_CONTINUOUS, hidden_dim)) # a fixed set of pairwise interaction terms self.interaction_pairs = [ (int(i), int(j)) for i, j in rng.integers(0, Z_DIM, size=(18, 2)) if i != j ] self.A4 = rng.normal(0, 0.35, size=(N_CONTINUOUS, len(self.interaction_pairs))) # Fixed projection z -> binary feature logits self.A5 = rng.normal(0, 0.9, size=(N_BINARY, Z_DIM)) self.binary_flip_rate = 0.03 # Spurious features: downstream of y (not z), fixed coefficients self.spurious_weight = rng.normal(2.0, 0.3, size=N_SPURIOUS) self.spurious_noise_sd = 1.0 def project(self, z: np.ndarray, rng: np.random.Generator) -> np.ndarray: """z (n, Z_DIM) -> continuous+binary features (n, N_CONTINUOUS+N_BINARY).""" n = z.shape[0] hidden = np.maximum(z @ self.A3.T, 0) # relu interaction_feats = np.stack( [z[:, i] * z[:, j] for i, j in self.interaction_pairs], axis=1 ) cont = ( np.tanh(z @ self.A1.T) * 3.0 + hidden @ self.A2.T * 0.4 + interaction_feats @ self.A4.T + rng.normal(0, 0.4, size=(n, N_CONTINUOUS)) ) logits = z @ self.A5.T probs = 1 / (1 + np.exp(-logits)) binary = (rng.random((n, N_BINARY)) < probs).astype(float) flips = rng.random((n, N_BINARY)) < self.binary_flip_rate binary = np.where(flips, 1 - binary, binary) return np.concatenate([cont, binary], axis=1) def spurious(self, y_binary: np.ndarray, rng: np.random.Generator, sign: float = 1.0) -> np.ndarray: n = y_binary.shape[0] base = np.outer(y_binary.astype(float), self.spurious_weight) * sign return base + rng.normal(0, self.spurious_noise_sd, size=(n, N_SPURIOUS)) CONTINUOUS_COLS = [f"feat_cont_{i:02d}" for i in range(N_CONTINUOUS)] BINARY_COLS = [f"feat_bin_{i:02d}" for i in range(N_BINARY)] SPURIOUS_COLS = [f"feat_spurious_{i:02d}" for i in range(N_SPURIOUS)] FEATURE_COLS = CONTINUOUS_COLS + BINARY_COLS + SPURIOUS_COLS def sample_families(rng, n, family_weights): fids = np.array(list(family_weights.keys())) w = np.array(list(family_weights.values()), dtype=float) w = w / w.sum() return rng.choice(fids, size=n, p=w) def default_family_weights(families): """benign gets 50%, remaining families split the other 50% evenly.""" weights = {} n_other = len(families) - 1 if 0 in families else len(families) for f in families: weights[f] = 0.5 if f == 0 else 0.5 / n_other return weights def generate_batch( world: World, n: int, families, seed: int, difficulty: str = "medium", shift_type: str = "none", shift_magnitude: float = 0.0, family_weights=None, concept_flip: bool = False, concept_flip_families=None, ): """Generate n rows for a given scenario. Returns a dict of arrays.""" rng = _rng(seed) if family_weights is None: family_weights = default_family_weights(families) if concept_flip_families is None: concept_flip_families = CONCEPT_SHIFT_FLIP_FAMILIES fam_ids = sample_families(rng, n, family_weights) sigma = DIFFICULTY_SIGMA[difficulty] z = np.zeros((n, Z_DIM)) for fid in np.unique(fam_ids): mask = fam_ids == fid mean = world.family_means[fid].copy() if shift_type == "covariate": # shift the behavioral profile itself, same family semantics direction = world.superfamily_offsets.get(FAMILY_TO_SUPERFAMILY.get(fid, "trojan")) if direction is None: direction = np.ones(Z_DIM) / np.sqrt(Z_DIM) mean = mean + direction * shift_magnitude z[mask] = rng.normal(mean, sigma, size=(mask.sum(), Z_DIM)) x_main = world.project(z, rng) fam_is_novel = np.isin(fam_ids, NOVEL_FAMILIES) y_binary_original = (fam_ids != 0).astype(int) if concept_flip: flip_mask = np.isin(fam_ids, concept_flip_families) y_binary = np.where(flip_mask, 1 - y_binary_original, y_binary_original) else: y_binary = y_binary_original # Spurious features are always generated from the ORIGINAL family-based # association, never from the post-flip label. This is what makes # concept shift genuinely hard rather than accidentally solvable: the # spurious cue is a stale correlation that has no way of "knowing" the # true label was redefined, exactly like a real historical correlate # would behave under true concept drift. x_spurious = world.spurious(y_binary_original, _rng(seed + 1)) x = np.concatenate([x_main, x_spurious], axis=1) return { "z": z, "x": x, "family_id": fam_ids, "family_is_novel": fam_is_novel, "y_binary": y_binary, } def apply_adversarial_perturbation(x: np.ndarray, y_binary: np.ndarray, direction: np.ndarray, budget: float): """Bounded perturbation along a supplied direction vector (a unit vector over the continuous+spurious feature block; the binary flag block must be zeroed out in `direction` by the caller, since a continuous perturbation would break their {0,1} semantics). `direction` is expected to come from a white-box reference classifier's coefficient vector (an FGSM-style linear evasion direction), not an arbitrary random vector, or the perturbation has no reason to actually move a classifier's decision. Pushes examples toward the opposite predicted class without altering the true label -- true y is unchanged by construction, which is what keeps this mechanism distinct from the natural-drift ones.""" sign = np.where(y_binary == 1, -1.0, 1.0) # push malicious toward benign-looking region perturbation = np.outer(sign, direction) * budget return x + perturbation