"""Shared, explicitly versioned utilities for the scaled FEPoID replication. The goal is to follow the paper where it is unambiguous and to make every necessary reconstruction choice visible. In particular, the released repository computes per-layer TwoNN values but does not implement FEPoID's peak selector. ``select_fepoid_layer`` below implements the active rule in arXiv:2605.26366, lines 555--558 of the extracted ``main.tex``. """ from __future__ import annotations import copy import json import random import re import time from dataclasses import dataclass from pathlib import Path from typing import Iterable import numpy as np import torch from sklearn.metrics import roc_auc_score from sklearn.model_selection import train_test_split from skdim.id import TwoNN from torch import nn SEED = 2024 PROBE_SEED = 42 MODEL_SPECS = { "mistral": { "model_id": "mistralai/Mistral-7B-Instruct-v0.3", "revision": "c170c708c41dac9275d15a8fff4eca08d52bab71", "layers": 32, "hidden_size": 4096, }, "llama": { "model_id": "meta-llama/Llama-3.1-8B-Instruct", "revision": "0e9e39f249a16976918f6564b8830bc894c89659", "layers": 32, "hidden_size": 4096, }, } JUDGE_SPEC = { "model_id": "mistralai/Ministral-8B-Instruct-2410", "revision": "2f494a194c5b980dfb9772cb92d26cbb671fce5a", } COQA_SPEC = { "dataset_id": "stanfordnlp/coqa", "revision": "0d9e9952f1ef6e5415492d3d84b5873259137e3c", } def seed_everything(seed: int = SEED) -> None: random.seed(seed) np.random.seed(seed) torch.manual_seed(seed) if torch.cuda.is_available(): torch.cuda.manual_seed_all(seed) def coqa_prompt(context: str, question: str) -> str: """The active context-aware prompt in the authors' released code.""" return ( "Answer the question as briefly as possible, based only on the context:\n" f" Context:{context.strip()}\n Question:{question.strip()}\n Answer:" ) # Verbatim behavior of the released FST path, reorganized dependency-free. FST_FILTERS = ( "\n", "Q:", "A:", "question:", "answer:", "Question:", "Answer:", "Questions:", "questions:", "QUESTION:", "ANSWER:", "REF", ".Forms", "http", "php", "Question", "Answer", ) FST_WORD_ABBREVIATIONS = { "Mr", "Mrs", "Ms", "Dr", "Prof", "Sr", "Jr", "Gen", "Brig", "Adm", "Rear", "Lt", "Col", "Maj", "Capt", "St", "vs", "etc", "Fig", "Eq", "No", } FST_MULTI_DOT_ABBREVIATION = re.compile(r"(?:[A-Za-z]\.){2,}$") FST_SINGLE_INITIAL = re.compile(r"^[A-Za-z]$") def extract_first_sentence(text: str) -> str: text = text.strip() length = len(text) cursor = 0 while cursor < length: char = text[cursor] if char not in ".!?": cursor += 1 continue if char == "." and text[cursor : cursor + 3] == "...": cursor += 3 continue if ( char == "." and 0 < cursor < length - 1 and text[cursor - 1].isdigit() and text[cursor + 1].isdigit() ): cursor += 1 continue left = cursor - 1 while left >= 0 and (text[left].isalpha() or text[left] == "."): left -= 1 token = text[left + 1 : cursor].strip() if char == ".": right_is_letter_dot = ( cursor + 2 < length and text[cursor + 1].isalpha() and text[cursor + 2] == "." ) if cursor > 0 and text[cursor - 1].isalpha() and right_is_letter_dot: cursor += 1 continue if "." in token and FST_MULTI_DOT_ABBREVIATION.match(token + "."): cursor += 1 continue if token in FST_WORD_ABBREVIATIONS: if token == "No": right = cursor + 1 while right < length and text[right].isspace(): right += 1 if right < length and text[right].isdigit(): cursor += 1 continue else: cursor += 1 continue if FST_SINGLE_INITIAL.match(token): right = cursor + 1 while right < length and text[right].isspace(): right += 1 if right < length and text[right].isupper(): cursor += 1 continue return text[: cursor + 1].strip() return text def first_sentence_truncation(answer: str) -> str: original = answer.strip() cut_position = len(answer) for marker in FST_FILTERS: marker_position = answer.find(marker) if 0 <= marker_position < cut_position: cut_position = marker_position filtered = answer[:cut_position].strip() or original return extract_first_sentence(filtered) def judge_prompt(context: str, question: str, references: list[str], model_answer: str) -> str: """The context-aware LLM-judge prompt from the released repository.""" reference_answer = "; ".join(references) return f""" Evaluate the following answers to questions. For each question you are given a model answer and the correct answer. You must determine if the model answer is correct or not. If the model answer is correct, write '1' and if it is not correct, write '0'. For example: Question: who is the young guitarist who played with buddy guy? Ground Truth: Quinn Sullivan Model Answer: Ronnie Earl Explanation: Ronnie Earl is an American blues guitarist and singer who has played with many famous blues musicians, including Buddy Guy. He is known for his soulful and melodic playing style, and has released many albums that blend blues, jazz, and rock music. Earl has also been a member of the Buddy Guy Blues Band and has played with other notable blues musicians such as B.B. King, Eric Clapton, and Stevie Ray Vaughan. He is considered one of the most Correctness: 0 Question: name of the first episode of stranger things Ground Truth: Chapter One : The Vanishing of Will Byers Model Answer: The disappearance of Will Byers. Explanation: The first episode of the first season of Stranger Things is titled "The Vanishing of Will Byers". The episode introduces the main characters and sets the tone for the rest of the series. It follows the story of Will Byers, a young boy who goes missing in the fictional town of Hawkins, Indiana, and the subsequent search for him by his mother Joyce and his friends Mike, Dustin, and Lucas. The episode sets the stage for the supernatural Correctness: 1 Context: {context} Question: {question} Ground Truth: {reference_answer} Model Answer: {model_answer} Correctness: """.strip() def released_substring_match(references: Iterable[str], model_answer: str) -> bool: """Match the release, which uses containment despite the paper saying exact match.""" normalized = model_answer.strip().lower() return any(str(reference).strip().lower() in normalized for reference in references) def parse_judge_output(text: str) -> int: text = text.replace(".", "").replace("", "").split("\n")[0].strip().strip(".") index_one = text.find("1") index_zero = text.find("0") if index_one != -1 and (index_zero == -1 or index_one < index_zero): return 1 if index_zero != -1 and (index_one == -1 or index_zero < index_one): return 0 return 0 def select_fepoid_layer(ids: Iterable[float], horizon: int = 7) -> tuple[int, list[int], list[int]]: """Implement the paper's active FEPoID rule. Reconstruction choices missing from the paper/release: * layers are zero based; * local maxima are strict on the left and non-increasing on the right; * endpoints are not candidate peaks; * if no peak survives, layer 0 is selected (the paper's "shallowest"). """ curve = np.asarray(list(ids), dtype=np.float64) if curve.ndim != 1 or len(curve) < 3 or not np.isfinite(curve).all(): raise ValueError("FEPoID requires at least three finite per-layer ID values") candidates = [ layer for layer in range(1, len(curve) - 1) if curve[layer] > curve[layer - 1] and curve[layer] >= curve[layer + 1] ] survivors: list[int] = [] for layer in candidates: endpoint = min(layer + horizon, len(curve) - 1) tail_strictly_increases = all( curve[index] < curve[index + 1] for index in range(layer + 1, endpoint) ) discard = curve[layer] < curve[endpoint] and tail_strictly_increases if not discard: survivors.append(layer) return (survivors[0] if survivors else 0), candidates, survivors def twonn_curve(hidden_states: np.ndarray, device: torch.device) -> tuple[np.ndarray, float]: """Compute paper-compatible TwoNN estimates using exact pairwise distances.""" if hidden_states.ndim != 3: raise ValueError(f"expected [N,L,D], received {hidden_states.shape}") started = time.perf_counter() values = [] for layer in range(hidden_states.shape[1]): features = torch.from_numpy(hidden_states[:, layer]).to(device=device, dtype=torch.float32) distances = torch.cdist(features, features) distances.fill_diagonal_(float("inf")) nearest_two = torch.topk(distances, k=2, dim=1, largest=False).values.cpu().numpy() estimator = TwoNN(dist=True) estimator.fit(nearest_two.astype(np.float64, copy=False)) values.append(float(estimator.dimension_)) del features, distances if device.type == "cuda": torch.cuda.synchronize(device) return np.asarray(values), time.perf_counter() - started class Probe(nn.Module): def __init__(self, dimension: int): super().__init__() self.net = nn.Sequential( nn.Linear(dimension, 512), nn.ReLU(), nn.Linear(512, 256), nn.ReLU(), nn.Linear(256, 128), nn.ReLU(), nn.Linear(128, 64), nn.ReLU(), nn.Linear(64, 2), ) def forward(self, values: torch.Tensor) -> torch.Tensor: return self.net(values.float()) @dataclass class ProbeResult: auroc: np.ndarray validation_loss: np.ndarray elapsed_seconds: float train_indices: np.ndarray validation_indices: np.ndarray def probe_curve( train_hidden: np.ndarray, train_labels: np.ndarray, test_hidden: np.ndarray, test_labels: np.ndarray, device: torch.device, epochs: int = 15, learning_rate: float = 1e-2, weight_decay: float = 1e-4, ) -> ProbeResult: """Train the released MLP at every layer with one fixed seeded split. The fixed split follows the paper's stated setup. It intentionally avoids the release's implementation accident of drawing a fresh validation split for each layer, which would confound layer comparisons. """ labels = np.asarray(train_labels, dtype=np.int64) indices = np.arange(len(labels)) train_indices, validation_indices = train_test_split( indices, test_size=0.1, random_state=PROBE_SEED, stratify=labels, ) criterion = nn.CrossEntropyLoss() aurocs: list[float] = [] losses: list[float] = [] seed_everything(PROBE_SEED) started = time.perf_counter() for layer in range(train_hidden.shape[1]): train_x = torch.from_numpy(train_hidden[train_indices, layer]).to(device=device, dtype=torch.float32) train_y = torch.from_numpy(labels[train_indices]).to(device=device, dtype=torch.long) validation_x = torch.from_numpy(train_hidden[validation_indices, layer]).to(device=device, dtype=torch.float32) validation_y = torch.from_numpy(labels[validation_indices]).to(device=device, dtype=torch.long) test_x = torch.from_numpy(test_hidden[:, layer]).to(device=device, dtype=torch.float32) model = Probe(train_x.shape[1]).to(device) optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate, weight_decay=weight_decay) scheduler = torch.optim.lr_scheduler.StepLR(optimizer, step_size=5, gamma=0.1) best_loss = float("inf") best_state = None for _epoch in range(epochs): model.train() permutation = torch.randperm(len(train_x), device=device) for start in range(0, len(train_x), 2048): batch = permutation[start : start + 2048] optimizer.zero_grad(set_to_none=True) loss = criterion(model(train_x[batch]), train_y[batch]) loss.backward() optimizer.step() model.eval() with torch.no_grad(): validation_loss = float(criterion(model(validation_x), validation_y).item()) if validation_loss < best_loss: best_loss = validation_loss best_state = copy.deepcopy(model.state_dict()) scheduler.step() if best_state is not None: model.load_state_dict(best_state) model.eval() with torch.no_grad(): probabilities = torch.softmax(model(test_x), dim=-1)[:, 1].cpu().numpy() aurocs.append(float(roc_auc_score(test_labels, probabilities))) losses.append(best_loss) del model, optimizer, train_x, train_y, validation_x, validation_y, test_x if device.type == "cuda": torch.cuda.synchronize(device) return ProbeResult( auroc=np.asarray(aurocs), validation_loss=np.asarray(losses), elapsed_seconds=time.perf_counter() - started, train_indices=np.asarray(train_indices), validation_indices=np.asarray(validation_indices), ) def analyze_hidden_states( train_hidden: np.ndarray, train_labels: np.ndarray, test_hidden: np.ndarray, test_labels: np.ndarray, horizon: int, device: torch.device, ) -> tuple[list[dict], dict]: if len(np.unique(train_labels)) != 2 or len(np.unique(test_labels)) != 2: raise ValueError("both train and test labels must contain two classes") ids, id_seconds = twonn_curve(train_hidden, device) probes = probe_curve(train_hidden, train_labels, test_hidden, test_labels, device) selected, candidates, survivors = select_fepoid_layer(ids, horizon) max_id_layer = int(np.argmax(ids)) oracle_layer = int(np.argmax(probes.auroc)) rows = [ { "layer_zero_based": layer, "layer_one_based": layer + 1, "twonn_id": float(ids[layer]), "probe_auroc": float(probes.auroc[layer]), "validation_loss": float(probes.validation_loss[layer]), "fepoid_selected": layer == selected, "local_peak": layer in candidates, "surviving_peak": layer in survivors, } for layer in range(len(ids)) ] summary = { "fepoid_layer_zero_based": selected, "fepoid_layer_one_based": selected + 1, "fepoid_auroc": float(probes.auroc[selected]), "last_layer_auroc": float(probes.auroc[-1]), "oracle_layer_zero_based": oracle_layer, "oracle_layer_one_based": oracle_layer + 1, "oracle_auroc": float(probes.auroc[oracle_layer]), "max_id_layer_zero_based": max_id_layer, "max_id_layer_one_based": max_id_layer + 1, "max_id_layer_auroc": float(probes.auroc[max_id_layer]), "fepoid_gap_to_oracle": float(probes.auroc[oracle_layer] - probes.auroc[selected]), "fepoid_gain_over_last": float(probes.auroc[selected] - probes.auroc[-1]), "id_seconds": id_seconds, "probe_seconds": probes.elapsed_seconds, "local_peak_layers_zero_based": candidates, "surviving_peak_layers_zero_based": survivors, "train_label_counts": { str(value): int((train_labels == value).sum()) for value in np.unique(train_labels) }, "test_label_counts": { str(value): int((test_labels == value).sum()) for value in np.unique(test_labels) }, "probe_train_indices_sha256": array_sha256(probes.train_indices), "probe_validation_indices_sha256": array_sha256(probes.validation_indices), } return rows, summary def array_sha256(array: np.ndarray) -> str: import hashlib return hashlib.sha256(np.ascontiguousarray(array).tobytes()).hexdigest() def write_json(path: Path, value: object) -> None: path.parent.mkdir(parents=True, exist_ok=True) path.write_text(json.dumps(value, indent=2, sort_keys=True) + "\n", encoding="utf-8") def write_jsonl(path: Path, rows: Iterable[dict]) -> None: path.parent.mkdir(parents=True, exist_ok=True) with path.open("w", encoding="utf-8") as handle: for row in rows: handle.write(json.dumps(row, ensure_ascii=False, separators=(",", ":")) + "\n")