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ProbeShift reproducibility bundle: code + results + paper + figures
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"""Probes.
All probes share a tiny interface so the pipeline is agnostic to type:
probe = make_probe("logreg", num_labels=2, seed=0).fit(X_train, y_train)
y_hat = probe.predict(X_eval)
D = probe.direction # [C, H] concept-direction matrix, or None (MLP)
`direction` is what claim C1/C2 measure rotation on. For LogReg it is the weight matrix;
for mass-mean it is (class_centroid - global_mean). MLP has no single linear direction, so
it returns None and the eval step skips rotation for it (still reports accuracy).
"""
from __future__ import annotations
import numpy as np
from sklearn.linear_model import LogisticRegression
class BaseProbe:
direction: np.ndarray | None = None
def fit(self, X: np.ndarray, y: np.ndarray) -> "BaseProbe":
raise NotImplementedError
def predict(self, X: np.ndarray) -> np.ndarray:
raise NotImplementedError
class LogRegProbe(BaseProbe):
"""L2-regularised multinomial logistic regression (the default diagnostic probe)."""
def __init__(self, num_labels: int, l2: float = 1.0, seed: int = 0, max_iter: int = 500, **_):
self.num_labels = num_labels
self.C = 1.0 / max(l2, 1e-8)
self.seed = seed
self.max_iter = max_iter
self._clf: LogisticRegression | None = None
def fit(self, X, y):
self._clf = LogisticRegression(
C=self.C, max_iter=self.max_iter, random_state=self.seed,
).fit(X, y)
coef = self._clf.coef_ # [1,H] binary, [C,H] multiclass
self.direction = coef.copy()
return self
def predict(self, X):
return self._clf.predict(X)
class MassMeanProbe(BaseProbe):
"""Difference-of-means / mass-mean probe. Predicts by nearest class centroid.
Often *more* OOD-robust than LogReg (a hypothesis under claim C3).
"""
def __init__(self, num_labels: int, **_):
self.num_labels = num_labels
self._centroids: np.ndarray | None = None
self._classes: np.ndarray | None = None
def fit(self, X, y):
y = np.asarray(y)
self._classes = np.unique(y)
centroids = np.stack([X[y == c].mean(0) for c in self._classes]) # [C,H]
self._centroids = centroids
self.direction = centroids - X.mean(0, keepdims=True) # [C,H]
return self
def predict(self, X):
# nearest centroid (euclidean)
d = np.linalg.norm(X[:, None, :] - self._centroids[None, :, :], axis=2) # [N,C]
return self._classes[np.argmin(d, axis=1)]
class MLPProbe(BaseProbe):
"""2-layer MLP probe (torch). No single linear direction -> direction stays None."""
def __init__(self, num_labels: int, hidden: int = 128, epochs: int = 50,
lr: float = 1e-3, seed: int = 0, **_):
self.num_labels = num_labels
self.hidden = hidden
self.epochs = epochs
self.lr = lr
self.seed = seed
self._model = None
self._device = None
def fit(self, X, y):
import torch
import torch.nn as nn
torch.manual_seed(self.seed)
self._device = "cuda" if torch.cuda.is_available() else "cpu"
Xt = torch.tensor(np.asarray(X), dtype=torch.float32, device=self._device)
yt = torch.tensor(np.asarray(y), dtype=torch.long, device=self._device)
self._model = nn.Sequential(
nn.Linear(Xt.shape[1], self.hidden), nn.ReLU(),
nn.Linear(self.hidden, self.num_labels),
).to(self._device)
opt = torch.optim.Adam(self._model.parameters(), lr=self.lr)
lossfn = nn.CrossEntropyLoss()
self._model.train()
for _ in range(self.epochs):
opt.zero_grad()
loss = lossfn(self._model(Xt), yt)
loss.backward()
opt.step()
return self
def predict(self, X):
import torch
self._model.eval()
with torch.no_grad():
Xt = torch.tensor(np.asarray(X), dtype=torch.float32, device=self._device)
return self._model(Xt).argmax(1).cpu().numpy()
class ControlTaskProbe(LogRegProbe):
"""Hewitt & Liang control-task probe: fit on RANDOM labels to measure selectivity.
selectivity = real_task_acc - control_task_acc. A high-selectivity probe reflects the
representation, not probe memorisation. We report this to pre-empt the standard
"your probe is just memorising" reviewer attack.
"""
def fit(self, X, y):
rng = np.random.default_rng(self.seed)
y_rand = rng.permutation(np.asarray(y)) # destroy structure, keep label marginal
return super().fit(X, y_rand)
_REGISTRY = {
"logreg": LogRegProbe,
"mass_mean": MassMeanProbe,
"mlp": MLPProbe,
"control": ControlTaskProbe,
}
def make_probe(kind: str, num_labels: int, **kwargs) -> BaseProbe:
if kind not in _REGISTRY:
raise KeyError(f"unknown probe '{kind}', choose from {list(_REGISTRY)}")
return _REGISTRY[kind](num_labels=num_labels, **kwargs)