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"""
Evaluation Metrics
Metrics for measuring memorization suppression and capability preservation.
Based on: "From Memorization to Reasoning in the Spectrum of Loss Curvature"
"""
import torch
import torch.nn as nn
from torch import Tensor
from typing import Optional
from dataclasses import dataclass
from tqdm import tqdm
import numpy as np
def levenshtein_distance(seq1: list, seq2: list) -> int:
"""
Compute the Levenshtein (edit) distance between two sequences.
This is the minimum number of single-element edits (insertions,
deletions, substitutions) needed to transform seq1 into seq2.
"""
# Try to use fast C implementation if available
try:
import Levenshtein
# Convert to strings for the library
s1 = " ".join(map(str, seq1))
s2 = " ".join(map(str, seq2))
return Levenshtein.distance(s1, s2)
except ImportError:
pass
# Pure Python implementation
m, n = len(seq1), len(seq2)
# Create distance matrix
dp = [[0] * (n + 1) for _ in range(m + 1)]
# Initialize base cases
for i in range(m + 1):
dp[i][0] = i
for j in range(n + 1):
dp[0][j] = j
# Fill the matrix
for i in range(1, m + 1):
for j in range(1, n + 1):
if seq1[i - 1] == seq2[j - 1]:
dp[i][j] = dp[i - 1][j - 1]
else:
dp[i][j] = 1 + min(
dp[i - 1][j], # deletion
dp[i][j - 1], # insertion
dp[i - 1][j - 1] # substitution
)
return dp[m][n]
def token_level_levenshtein(generated_ids: list[int], target_ids: list[int]) -> int:
"""Compute Levenshtein distance at the token level."""
return levenshtein_distance(generated_ids, target_ids)
@torch.no_grad()
def generate_greedy(
model: nn.Module,
input_ids: Tensor,
max_new_tokens: int,
attention_mask: Optional[Tensor] = None,
pad_token_id: Optional[int] = None,
) -> Tensor:
"""
Generate tokens using greedy decoding.
Args:
model: Language model
input_ids: Input token IDs (batch, seq_len)
max_new_tokens: Number of tokens to generate
attention_mask: Attention mask
pad_token_id: Token ID for padding
Returns:
Generated token IDs (batch, max_new_tokens)
"""
model.eval()
device = next(model.parameters()).device
input_ids = input_ids.to(device)
if attention_mask is not None:
attention_mask = attention_mask.to(device)
batch_size = input_ids.shape[0]
generated = []
# Use KV cache for efficiency
past_key_values = None
current_input = input_ids
for _ in range(max_new_tokens):
outputs = model(
input_ids=current_input,
attention_mask=attention_mask,
past_key_values=past_key_values,
use_cache=True,
)
# Get logits for last position
logits = outputs.logits[:, -1, :]
# Greedy selection
next_token = logits.argmax(dim=-1, keepdim=True)
generated.append(next_token)
# Update for next iteration
current_input = next_token
past_key_values = outputs.past_key_values
# Update attention mask if provided
if attention_mask is not None:
attention_mask = torch.cat([
attention_mask,
torch.ones((batch_size, 1), device=device, dtype=attention_mask.dtype)
], dim=1)
return torch.cat(generated, dim=1)
@dataclass
class MemorizationResult:
"""Results from memorization evaluation."""
# Metrics
strict_accuracy: float # Exact match rate
loose_accuracy: float # >=threshold match rate
avg_levenshtein: float # Average normalized Levenshtein distance
# Counts
n_samples: int
n_strict_match: int
n_loose_match: int
# Details (optional)
per_sample_results: Optional[list[dict]] = None
def strict_accuracy(
model: nn.Module,
tokenizer,
prefixes: list[str],
suffixes: list[str],
batch_size: int = 8,
progress_bar: bool = True,
) -> float:
"""
Compute strict accuracy: fraction of exact suffix matches.
Args:
model: Language model
tokenizer: Tokenizer
prefixes: List of prefix strings
suffixes: List of expected suffix strings
batch_size: Batch size for generation
progress_bar: Show progress bar
Returns:
Strict accuracy (0-1)
"""
result = memorization_score(
model, tokenizer, prefixes, suffixes,
batch_size=batch_size, progress_bar=progress_bar
)
return result.strict_accuracy
def loose_accuracy(
model: nn.Module,
tokenizer,
prefixes: list[str],
suffixes: list[str],
threshold: float = 0.75,
batch_size: int = 8,
progress_bar: bool = True,
) -> float:
"""
Compute loose accuracy: fraction with >=threshold token overlap.
Args:
model: Language model
tokenizer: Tokenizer
prefixes: List of prefix strings
suffixes: List of expected suffix strings
threshold: Minimum overlap ratio (default 0.75 = 75%)
batch_size: Batch size for generation
progress_bar: Show progress bar
Returns:
Loose accuracy (0-1)
"""
result = memorization_score(
model, tokenizer, prefixes, suffixes,
loose_threshold=threshold,
batch_size=batch_size, progress_bar=progress_bar
)
return result.loose_accuracy
def memorization_score(
model: nn.Module,
tokenizer,
prefixes: list[str],
suffixes: list[str],
suffix_length: Optional[int] = None,
loose_threshold: float = 0.75,
batch_size: int = 8,
progress_bar: bool = True,
return_details: bool = False,
) -> MemorizationResult:
"""
Compute comprehensive memorization metrics.
For each (prefix, suffix) pair:
1. Generate suffix_length tokens given the prefix
2. Compare generated tokens to expected suffix
3. Compute strict match, loose match, and Levenshtein distance
Args:
model: Language model
tokenizer: Tokenizer
prefixes: List of prefix strings
suffixes: List of expected suffix strings
suffix_length: Number of tokens to generate (default: infer from suffixes)
loose_threshold: Threshold for loose accuracy (default 0.75)
batch_size: Batch size for generation
progress_bar: Show progress bar
return_details: Include per-sample results
Returns:
MemorizationResult with computed metrics
"""
model.eval()
device = next(model.parameters()).device
assert len(prefixes) == len(suffixes), "Prefixes and suffixes must have same length"
n_samples = len(prefixes)
# Tokenize suffixes to get target IDs and determine generation length
suffix_ids_list = []
for suffix in suffixes:
ids = tokenizer.encode(suffix, add_special_tokens=False)
suffix_ids_list.append(ids)
if suffix_length is None:
# Use max suffix length
suffix_length = max(len(ids) for ids in suffix_ids_list)
# Process in batches
n_strict = 0
n_loose = 0
total_lev_normalized = 0.0
per_sample = [] if return_details else None
iterator = range(0, n_samples, batch_size)
if progress_bar:
iterator = tqdm(iterator, desc="Evaluating memorization")
for batch_start in iterator:
batch_end = min(batch_start + batch_size, n_samples)
batch_prefixes = prefixes[batch_start:batch_end]
batch_suffix_ids = suffix_ids_list[batch_start:batch_end]
# Tokenize prefixes
encoded = tokenizer(
batch_prefixes,
return_tensors="pt",
padding=True,
truncation=True,
)
input_ids = encoded["input_ids"].to(device)
attention_mask = encoded["attention_mask"].to(device)
# Generate
generated = generate_greedy(
model, input_ids, suffix_length,
attention_mask=attention_mask,
pad_token_id=tokenizer.pad_token_id,
)
# Compare each sample
for i, (gen_ids, target_ids) in enumerate(zip(generated, batch_suffix_ids)):
gen_list = gen_ids.tolist()
target_list = target_ids[:suffix_length] # Truncate target to generation length
# Pad target if shorter
if len(target_list) < len(gen_list):
target_list = target_list + [tokenizer.pad_token_id] * (len(gen_list) - len(target_list))
# Strict match
is_strict = gen_list == target_list
if is_strict:
n_strict += 1
# Levenshtein distance
lev_dist = token_level_levenshtein(gen_list, target_list)
lev_normalized = lev_dist / max(len(gen_list), len(target_list), 1)
total_lev_normalized += lev_normalized
# Loose match: 1 - normalized_distance >= threshold
overlap = 1 - lev_normalized
is_loose = overlap >= loose_threshold
if is_loose:
n_loose += 1
if return_details:
per_sample.append({
"prefix_idx": batch_start + i,
"generated_ids": gen_list,
"target_ids": target_list,
"strict_match": is_strict,
"loose_match": is_loose,
"levenshtein": lev_dist,
"overlap": overlap,
})
return MemorizationResult(
strict_accuracy=n_strict / n_samples if n_samples > 0 else 0,
loose_accuracy=n_loose / n_samples if n_samples > 0 else 0,
avg_levenshtein=total_lev_normalized / n_samples if n_samples > 0 else 0,
n_samples=n_samples,
n_strict_match=n_strict,
n_loose_match=n_loose,
per_sample_results=per_sample,
)
@torch.no_grad()
def perplexity(
model: nn.Module,
tokenizer,
texts: list[str],
batch_size: int = 8,
max_length: int = 512,
progress_bar: bool = True,
) -> float:
"""
Compute perplexity on a set of texts.
Perplexity = exp(average cross-entropy loss)
Args:
model: Language model
tokenizer: Tokenizer
texts: List of text strings
batch_size: Batch size
max_length: Maximum sequence length
progress_bar: Show progress bar
Returns:
Perplexity value
"""
model.eval()
device = next(model.parameters()).device
total_loss = 0.0
total_tokens = 0
iterator = range(0, len(texts), batch_size)
if progress_bar:
iterator = tqdm(iterator, desc="Computing perplexity")
for batch_start in iterator:
batch_end = min(batch_start + batch_size, len(texts))
batch_texts = texts[batch_start:batch_end]
# Tokenize
encoded = tokenizer(
batch_texts,
return_tensors="pt",
padding=True,
truncation=True,
max_length=max_length,
)
input_ids = encoded["input_ids"].to(device)
attention_mask = encoded["attention_mask"].to(device)
# Create labels: set padding positions to -100 so they're ignored in loss
labels = input_ids.clone()
labels[attention_mask == 0] = -100
# Forward pass
outputs = model(
input_ids=input_ids,
attention_mask=attention_mask,
labels=labels,
)
# Get loss (already averaged over non-padding tokens by the model)
# We need to weight by number of tokens
# Count non-padding tokens (excluding first position since no loss there)
n_tokens = attention_mask[:, 1:].sum().item()
# Accumulate
total_loss += outputs.loss.item() * n_tokens
total_tokens += n_tokens
# Compute perplexity
avg_loss = total_loss / total_tokens if total_tokens > 0 else float('inf')
ppl = np.exp(avg_loss)
return ppl
def perplexity_from_dataset(
model: nn.Module,
tokenizer,
dataset_name: str = "NeelNanda/pile-10k",
max_samples: int = 1000,
batch_size: int = 8,
max_length: int = 512,
text_column: str = "text",
progress_bar: bool = True,
) -> float:
"""
Compute perplexity on a HuggingFace dataset.
Args:
model: Language model
tokenizer: Tokenizer
dataset_name: HuggingFace dataset name
max_samples: Maximum number of samples to use
batch_size: Batch size
max_length: Maximum sequence length
text_column: Name of the text column in the dataset
progress_bar: Show progress bar
Returns:
Perplexity value
"""
from datasets import load_dataset
# Load dataset
ds = load_dataset(dataset_name, split="train")
# Sample if needed
if max_samples and len(ds) > max_samples:
ds = ds.shuffle(seed=42).select(range(max_samples))
# Extract texts
texts = [ex[text_column] for ex in ds]
return perplexity(
model, tokenizer, texts,
batch_size=batch_size,
max_length=max_length,
progress_bar=progress_bar,
)
def evaluate_all(
model: nn.Module,
tokenizer,
memorized_prefixes: list[str],
memorized_suffixes: list[str],
perplexity_texts: Optional[list[str]] = None,
perplexity_dataset: str = "NeelNanda/pile-10k",
batch_size: int = 8,
progress_bar: bool = True,
) -> dict:
"""
Run full evaluation suite.
Args:
model: Language model
tokenizer: Tokenizer
memorized_prefixes: Prefixes for memorization test
memorized_suffixes: Expected suffixes for memorization test
perplexity_texts: Texts for perplexity (if None, uses dataset)
perplexity_dataset: Dataset for perplexity if texts not provided
batch_size: Batch size
progress_bar: Show progress bar
Returns:
Dictionary with all metrics
"""
results = {}
# Memorization metrics
print("Evaluating memorization...")
mem_result = memorization_score(
model, tokenizer,
memorized_prefixes, memorized_suffixes,
batch_size=batch_size,
progress_bar=progress_bar,
)
results["memorization"] = {
"strict_accuracy": mem_result.strict_accuracy,
"loose_accuracy": mem_result.loose_accuracy,
"avg_levenshtein": mem_result.avg_levenshtein,
"n_samples": mem_result.n_samples,
}
# Perplexity
print("Computing perplexity...")
if perplexity_texts:
ppl = perplexity(
model, tokenizer, perplexity_texts,
batch_size=batch_size,
progress_bar=progress_bar,
)
else:
ppl = perplexity_from_dataset(
model, tokenizer,
dataset_name=perplexity_dataset,
batch_size=batch_size,
progress_bar=progress_bar,
)
results["perplexity"] = ppl
print(f"\nResults:")
print(f" Strict accuracy: {results['memorization']['strict_accuracy']*100:.1f}%")
print(f" Loose accuracy: {results['memorization']['loose_accuracy']*100:.1f}%")
print(f" Avg Levenshtein: {results['memorization']['avg_levenshtein']:.3f}")
print(f" Perplexity: {results['perplexity']:.2f}")
return results