Finece Confidence

---
name: finece-confidence
title: Fine-Grained Confidence Estimation During LLM Generation
version: 0.0.2
engine: skillxiv-v0.0.2-claude-opus-4.6
license: MIT
url: https://arxiv.org/abs/2508.12040
keywords: [confidence-estimation, uncertainty-quantification, generation-process, calibration]
description: "Provide continuous confidence scores throughout LLM text generation via supervised learning and backward confidence integration, enabling real-time uncertainty awareness"
---

# Mind the Generation Process: Fine-Grained Confidence During LLM Generation

## Core Concept

FineCE enables language models to assess confidence in their own text generation in real-time. The approach trains a supervised confidence predictor that can leverage future context (backward confidence integration) to improve estimates for current sequences. Unlike post-hoc confidence estimation, FineCE provides granular confidence at each position during generation, enabling applications like beam search biasing, early stopping, and uncertainty-aware retrieval.

## Architecture Overview

- **Continuous Confidence Prediction**: Score each position during generation
- **Supervised Learning**: Train separate confidence prediction model
- **Backward Integration**: Use future context to improve current estimates
- **Multiple Strategies**: Three positions for confidence estimation in sequence
- **Calibration-Aware**: Train to avoid overconfidence in incorrect predictions

## Implementation Steps

### Stage 1: Design Confidence Prediction Module

Create a model to estimate generation confidence.

```python
# Supervised confidence prediction
import torch
from torch import nn
from typing import Tuple, List

class ConfidencePredictor(nn.Module):
    """Predict confidence scores for generated text"""

    def __init__(
        self,
        model_dim: int = 4096,
        hidden_dim: int = 1024,
        confidence_dim: int = 128
    ):
        super().__init__()
        self.model_dim = model_dim
        self.hidden_dim = hidden_dim

        # Input projection (from LM hidden state)
        self.input_proj = nn.Linear(model_dim, hidden_dim)

        # Confidence estimation backbone
        self.confidence_backbone = nn.Sequential(
            nn.Linear(hidden_dim, hidden_dim),
            nn.ReLU(),
            nn.Dropout(0.1),
            nn.Linear(hidden_dim, hidden_dim),
            nn.ReLU(),
            nn.Dropout(0.1)
        )

        # Output: confidence score per position
        self.confidence_head = nn.Linear(hidden_dim, 1)

    def forward(
        self,
        hidden_state: torch.Tensor,  # [batch, seq_len, model_dim]
        mask: torch.Tensor = None    # [batch, seq_len]
    ) -> torch.Tensor:
        """
        Predict confidence for each position.

        Returns:
            confidence: [batch, seq_len, 1] normalized to [0, 1]
        """
        # Project input
        projected = self.input_proj(hidden_state)

        # Compute confidence features
        features = self.confidence_backbone(projected)

        # Output confidence score
        logit = self.confidence_head(features)

        # Normalize to [0, 1]
        confidence = torch.sigmoid(logit)

        # Apply mask if provided
        if mask is not None:
            confidence = confidence * mask.unsqueeze(-1)

        return confidence


class ConfidenceTrainer:
    """Train confidence prediction model"""

    def __init__(self, predictor: ConfidencePredictor, lr: float = 1e-4):
        self.predictor = predictor
        self.optimizer = torch.optim.Adam(predictor.parameters(), lr=lr)

    def prepare_training_data(
        self,
        generated_texts: List[str],
        ground_truth: List[str],
        hidden_states: List[torch.Tensor]
    ) -> List[Tuple]:
        """
        Create training pairs: (hidden_state, position_correctness).

        For each position in generated text:
        - Label = 1 if position matches ground truth (or continues on correct path)
        - Label = 0 if diverges from ground truth
        """
        training_data = []

        for gen_text, gt_text, hidden_state in zip(
            generated_texts, ground_truth, hidden_states
        ):
            # Token-level correctness
            gen_tokens = gen_text.split()
            gt_tokens = gt_text.split()

            for pos, gen_token in enumerate(gen_tokens):
                if pos < len(gt_tokens):
                    is_correct = gen_token == gt_tokens[pos]
                else:
                    is_correct = False

                label = float(is_correct)

                training_data.append({
                    "hidden_state": hidden_state[pos].unsqueeze(0),
                    "label": label,
                    "position": pos,
                    "text": gen_text
                })

        return training_data

    def train_step(self, batch: List[Dict]) -> float:
        """Single training step"""
        total_loss = 0

        for example in batch:
            hidden_state = example["hidden_state"]
            label = torch.tensor([example["label"]], dtype=torch.float32)

            # Predict confidence
            confidence = self.predictor(hidden_state)

            # Loss: binary cross-entropy between confidence and label
            loss = torch.nn.functional.binary_cross_entropy(
                confidence,
                label.unsqueeze(-1)
            )

            total_loss += loss.item()

            # Backward
            self.optimizer.zero_grad()
            loss.backward()
            self.optimizer.step()

        return total_loss / len(batch)
```

### Stage 2: Implement Backward Confidence Integration (BCI)

Use future tokens to improve current position confidence.

```python
# Backward Confidence Integration
class BackwardConfidenceIntegrator:
    """Integrate future context to improve confidence estimates"""

    def __init__(self, predictor: ConfidencePredictor):
        self.predictor = predictor

    def forward_confidence(
        self,
        hidden_states: torch.Tensor,  # [seq_len, model_dim]
        mask: torch.Tensor = None
    ) -> torch.Tensor:
        """Standard forward confidence: left-to-right"""
        confidence = self.predictor(hidden_states.unsqueeze(0), mask)
        return confidence.squeeze(0)

    def backward_integrated_confidence(
        self,
        hidden_states: torch.Tensor,  # [seq_len, model_dim]
        mask: torch.Tensor = None
    ) -> torch.Tensor:
        """
        BCI: Use future context to improve confidence.

        Key insight: A token's correctness often becomes clear from
        subsequent context. Use bidirectional information.
        """
        seq_len = hidden_states.shape[0]
        confidence_scores = []

        for pos in range(seq_len):
            # Current position hidden state
            current_hidden = hidden_states[pos:pos+1]

            # Future context (next 5 tokens or until end)
            future_start = min(pos + 1, seq_len)
            future_end = min(pos + 6, seq_len)
            future_hidden = hidden_states[future_start:future_end]

            if future_hidden.shape[0] > 0:
                # Combine current + future for confidence estimate
                # Strategy: concatenate and re-evaluate
                combined_hidden = torch.cat([
                    current_hidden,
                    future_hidden.mean(dim=0, keepdim=True)
                ], dim=-1)

                # Project combined to model dim
                combined_hidden = self._project_to_model_dim(combined_hidden)

                confidence = self.predictor(combined_hidden)
            else:
                # No future context, use forward only
                confidence = self.predictor(current_hidden)

            confidence_scores.append(confidence.squeeze())

        # Stack scores
        bci_confidence = torch.stack(confidence_scores)

        return bci_confidence

    def _project_to_model_dim(self, tensor: torch.Tensor) -> torch.Tensor:
        """Project concatenated tensor back to model dim"""
        if tensor.shape[-1] != self.predictor.model_dim:
            # Linear projection
            proj = nn.Linear(tensor.shape[-1], self.predictor.model_dim)
            tensor = proj(tensor)
        return tensor
```

### Stage 3: Multiple Confidence Strategies

Offer different approaches for measuring confidence.

```python
# Multiple confidence estimation strategies
class ConfidenceStrategies:
    """Different strategies for estimating confidence"""

    @staticmethod
    def strategy_1_current_only(
        predictor: ConfidencePredictor,
        hidden_states: torch.Tensor
    ) -> torch.Tensor:
        """
        Strategy 1: Confidence from current position only
        (Standard approach, left-to-right)
        """
        confidence = predictor(hidden_states.unsqueeze(0))
        return confidence.squeeze(0)

    @staticmethod
    def strategy_2_with_context(
        predictor: ConfidencePredictor,
        hidden_states: torch.Tensor,
        context_window: int = 3
    ) -> torch.Tensor:
        """
        Strategy 2: Use surrounding context (window of ±N positions)
        """
        seq_len = hidden_states.shape[0]
        confidence_scores = []

        for pos in range(seq_len):
            # Get context window
            context_start = max(0, pos - context_window)
            context_end = min(seq_len, pos + context_window + 1)

            context_hidden = hidden_states[context_start:context_end]

            # Mean pool or attention over context
            context_mean = context_hidden.mean(dim=0, keepdim=True)

            # Predict confidence
            confidence = predictor(context_mean)
            confidence_scores.append(confidence.squeeze())

        return torch.stack(confidence_scores)

    @staticmethod
    def strategy_3_backward_integration(
        predictor: ConfidencePredictor,
        hidden_states: torch.Tensor
    ) -> torch.Tensor:
        """
        Strategy 3: BCI - use future context
        """
        integrator = BackwardConfidenceIntegrator(predictor)
        return integrator.backward_integrated_confidence(hidden_states)
```

### Stage 4: Online Confidence During Generation

Compute confidence scores during decoding.

```python
# Real-time confidence during generation
class OnlineConfidenceScorer:
    """Compute confidence scores during LLM generation"""

    def __init__(
        self,
        language_model,
        confidence_predictor: ConfidencePredictor,
        strategy: str = "strategy_3_backward_integration"
    ):
        self.lm = language_model
        self.predictor = confidence_predictor
        self.strategy = strategy

    def generate_with_confidence(
        self,
        prompt: str,
        max_tokens: int = 256,
        temperature: float = 0.7,
        confidence_threshold: float = 0.5
    ) -> Dict:
        """
        Generate text and track confidence at each step.

        Returns:
            - generated_text: model output
            - confidence_scores: per-token confidence
            - divergence_points: where confidence drops below threshold
        """
        token_ids = self.lm.tokenize(prompt)
        generated_tokens = []
        confidence_scores = []
        hidden_states_list = []

        for step in range(max_tokens):
            # Get model hidden states
            with torch.no_grad():
                outputs = self.lm.forward(
                    input_ids=torch.tensor(token_ids + generated_tokens).unsqueeze(0)
                )
                hidden_state = outputs.hidden_states[-1]  # Last layer
                hidden_states_list.append(hidden_state[0, -1])

                # Get next token prediction
                logits = outputs.logits[0, -1, :]

            # Sample next token
            next_token = self._sample_token(logits, temperature)
            generated_tokens.append(next_token)

            # Compute confidence for this step
            if len(hidden_states_list) > 1:
                # Use strategy to compute confidence
                all_hidden = torch.stack(hidden_states_list)

                if self.strategy == "strategy_1_current_only":
                    confidence = ConfidenceStrategies.strategy_1_current_only(
                        self.predictor, all_hidden
                    )
                elif self.strategy == "strategy_2_with_context":
                    confidence = ConfidenceStrategies.strategy_2_with_context(
                        self.predictor, all_hidden
                    )
                else:  # strategy_3
                    confidence = ConfidenceStrategies.strategy_3_backward_integration(
                        self.predictor, all_hidden
                    )

                current_confidence = confidence[-1].item()
            else:
                current_confidence = 0.5  # Initial uncertainty

            confidence_scores.append(current_confidence)

            # Early stopping if confidence too low
            if current_confidence < confidence_threshold and step > 10:
                break

        # Decode tokens
        generated_text = self.lm.tokenizer.decode(generated_tokens)

        return {
            "generated_text": generated_text,
            "confidence_scores": confidence_scores,
            "avg_confidence": sum(confidence_scores) / len(confidence_scores),
            "min_confidence": min(confidence_scores) if confidence_scores else 0,
            "num_tokens": len(generated_tokens)
        }

    def _sample_token(self, logits: torch.Tensor, temperature: float) -> int:
        """Sample token from logits"""
        probs = torch.nn.functional.softmax(logits / temperature, dim=-1)
        return torch.multinomial(probs, 1).item()
```

### Stage 5: Applications Using Confidence

Leverage confidence for downstream applications.

```python
# Applications leveraging confidence scores
class ConfidenceApplications:
    """Use confidence scores for improved generation"""

    def __init__(self, scorer: OnlineConfidenceScorer):
        self.scorer = scorer

    def biased_beam_search(
        self,
        prompt: str,
        num_beams: int = 4,
        length_penalty: float = 1.0
    ) -> List[Dict]:
        """
        Beam search biased by confidence scores.

        Hypothesis with higher average confidence are preferred.
        """
        beams = [
            {"text": "", "logprob": 0, "avg_confidence": 1.0}
        ]

        for step in range(256):
            candidates = []

            for beam in beams:
                # Generate next tokens
                completions = self.scorer.generate_with_confidence(
                    prompt + beam["text"],
                    max_tokens=3,
                    confidence_threshold=0.3
                )

                # Score by logprob + confidence
                avg_confidence = completions["avg_confidence"]
                logprob = 0  # Placeholder

                score = logprob + 0.3 * avg_confidence

                candidates.append({
                    "text": beam["text"] + " " + completions["generated_text"],
                    "logprob": score,
                    "avg_confidence": avg_confidence
                })

            # Keep top-k beams
            beams = sorted(candidates, key=lambda x: x["logprob"], reverse=True)[:num_beams]

        return beams

    def uncertainty_aware_retrieval(
        self,
        prompt: str,
        knowledge_base: List[str],
        confidence_weight: float = 0.3
    ) -> List[Tuple]:
        """
        Retrieve knowledge when model confidence is low.

        For positions with low confidence, augment with retrieval.
        """
        # Generate with confidence
        result = self.scorer.generate_with_confidence(prompt)

        # Identify low-confidence regions
        low_conf_threshold = 0.5
        low_conf_positions = [
            i for i, conf in enumerate(result["confidence_scores"])
            if conf < low_conf_threshold
        ]

        # Retrieve for low-confidence positions
        retrieved = []
        for pos in low_conf_positions:
            # What is the model uncertain about?
            tokens_at_pos = result["generated_text"].split()[pos:pos+3]
            query = " ".join(tokens_at_pos)

            # Retrieve from knowledge base
            best_docs = self._semantic_search(query, knowledge_base, top_k=3)
            retrieved.append((pos, query, best_docs))

        return retrieved

    def _semantic_search(self, query: str, docs: List[str], top_k: int = 3):
        """Simple semantic search (placeholder)"""
        return docs[:top_k]
```

## Practical Guidance

### Confidence Strategies Comparison

| Strategy | Pros | Cons | Use Case |
|----------|------|------|----------|
| Current Only | Fast, simple | Limited context | Real-time systems |
| With Context | Moderate accuracy | Moderate overhead | Batch processing |
| BCI | Best accuracy | More computation | Offline generation |

### Integration with Generation

- **Beam Search**: Weight hypotheses by confidence
- **Early Stopping**: Stop when confidence stabilizes
- **Uncertainty Sampling**: Use for active learning
- **Retrieval Augmentation**: Retrieve when model uncertain

### Training Data

- Collect authentic model generations with ground truth labels
- Balance correct and incorrect examples
- Include diverse domains for generalization
- ~100K-1M training examples for good calibration

### When to Use FineCE

- Applications requiring uncertainty awareness
- Real-time systems needing confidence bounds
- Active learning or selective prediction
- Combination with retrieval augmentation

### When NOT to Use

- Latency-critical systems (adds inference cost)
- Domains with clear correctness (confidence less useful)
- Models already well-calibrated

### Calibration Considerations

- Train on representative distribution
- Monitor for overconfidence on errors
- Validate on held-out test set
- Consider post-hoc calibration (temperature scaling)

## Reference

Mind the Generation Process: Fine-Grained Confidence during LLM Generation. arXiv:2508.12040
- https://arxiv.org/abs/2508.12040