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Enterprise AI Analysis: Bayesian Network Fusion of Large Language Models for Sentiment Analysis

Enterprise AI Analysis: Bayesian Network Fusion of Large Language Models for Sentiment Analysis

Bayesian Network Fusion Enhances LLM Sentiment Analysis with Interpretability and Accuracy

This study introduces the Bayesian Network LLM Fusion (BNLF) framework for financial sentiment analysis, integrating predictions from multiple Large Language Models (LLMs) through a probabilistic mechanism. BNLF models probabilistic dependencies among LLM predictions, enhancing interpretability and achieving consistent accuracy gains across diverse financial datasets.

Key Findings & Strategic Impact

The BNLF framework demonstrates significant improvements in accuracy and interpretability for financial sentiment analysis, offering a robust and scalable solution for enterprise AI.

0 Overall Accuracy
0 Accuracy Gain Over Baselines
0 Macro-F1 Score
0 BNLF Mean Consistency (Kappa)

Deep Analysis & Enterprise Applications

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BNLF Framework

The Bayesian Network LLM Fusion (BNLF) framework integrates predictions from multiple LLMs using a probabilistic mechanism to perform sentiment analysis. It leverages the complementary strengths of individual LLMs and dynamically adjusts their influences based on learned probabilistic dependencies within a Bayesian Network. This late-fusion strategy explicitly models the joint probability distribution over input variables, providing a principled approach to capture uncertainty and bias for interpretable sentiment classification. The framework is designed to be lightweight, using medium-sized LLMs without requiring extensive fine-tuning or large GPU resources, making it practical for inference-only tasks. Its modular and scalable nature allows for enhanced interpretability and transparent reasoning, crucial for trustworthy AI applications.

Performance Evaluation

BNLF was rigorously evaluated across three diverse human-annotated financial corpora: Financial PhraseBank, Twitter Financial News Sentiment (TFNS), and FIQA. The framework consistently outperformed all individual LLMs and ensemble baselines, achieving an overall accuracy of 78.6%, a gain of about 6% over the DistilRoBERTa baseline. Notably, BNLF showed balanced performance across sentiment classes, with high F1-scores for neutral (0.850), negative (0.639), and positive (0.667) sentiments. While DistilRoBERTa performed exceptionally well on Financial PhraseBank (99.6% accuracy), BNLF demonstrated superior or competitive performance on the more challenging FIQA and TFNS datasets, highlighting its robustness to varying linguistic styles and contextual characteristics.

Interpretability Analysis

A key advantage of BNLF is its enhanced interpretability, achieved through inference analysis and influence strength assessment within the Bayesian Network. Scenario-based inference revealed how corpus type significantly influences BNLF’s certainty and the dominant sentiment, even with conflicting LLM predictions. For instance, identical negative predictions across LLMs yielded over 95% negative for Financial PhraseBank but shifted to 66.5% negative and 31.5% neutral for TFNS. The influence strength analysis showed that FinBERT had the strongest direct influence (0.364) on BNLF, followed by RoBERTa (0.320) and BERTweet (0.309), while corpus type also directly affected BNLF (0.327). This transparency allows a clear understanding of how sentiment decisions are formed, providing valuable insights into model behavior and supporting the principles of trustworthy AI.

Enterprise Process Flow

Input Text (Financial Data, Social Media)
LLM Module (FinBERT, RoBERTa, BERTweet)
Individual Sentiment Predictions
Bayesian Network Fusion
Probabilistic Sentiment Distribution
Final Sentiment Label (NEG, NEU, POS)

BNLF Accuracy Advantage

78.6% Accuracy on Combined Test Set, surpassing baselines

Model Comparison: BNLF vs. Baselines

Feature BNLF Individual LLMs & Simple Ensembles
Accuracy
  • Achieves 78.6% overall accuracy, outperforming all baselines.
  • Consistent gains across diverse financial datasets (up to 6% improvement).
  • DistilRoBERTa (baseline) 73.3%, FinBERT 72.1%.
  • Majority Voting 72.6%, Averaging 74.8%.
Interpretability
  • Explicitly models probabilistic dependencies and causal structures.
  • Transparent reasoning via Bayesian Network inference and influence analysis.
  • Often lack transparency and explainability due to black-box nature.
  • Limited capacity for causal reasoning.
Robustness & Consistency
  • Dynamically integrates varying model predictions and contextual factors.
  • Achieves highest mean consistency (0.801 Kappa) across models.
  • Performance highly sensitive to prompt phrasing and domain shifts.
  • Inconsistent results across diverse datasets.

Case Study: Conflict Resolution in TFNS Corpus

In the Twitter Financial News Sentiment (TFNS) corpus, despite all individual LLMs (FinBERT, RoBERTa, BERTweet) being fixed to predict 'negative' sentiment, BNLF's probabilistic inference shifted the outcome towards greater uncertainty. It predicted 66.5% negative and 31.5% neutral, demonstrating how corpus type influences the model's certainty and balance between sentiment classes. This highlights BNLF's ability to consider contextual factors beyond individual LLM predictions to provide a more nuanced and reliable sentiment assessment.

Outcome: Reduced False Negatives on Noisy Data

FinBERT's Strongest Influence

0.364 Influence strength of FinBERT on BNLF's final predictions

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Your AI Implementation Roadmap

A structured approach to integrating Bayesian Network LLM Fusion for optimal sentiment analysis in your enterprise.

Phase 1: Data Collection & LLM Prediction Generation

Gather diverse financial text data (news, social media, reports). Process text through FinBERT, RoBERTa, and BERTweet to generate individual sentiment predictions, establishing the input for the BNLF.

Phase 2: Bayesian Network Construction & Learning

Define the BN structure based on domain knowledge, linking input text context and LLM predictions to the final sentiment node. Learn Conditional Probability Tables (CPTs) from annotated training data to model probabilistic dependencies.

Phase 3: BNLF Fusion & Inference Engine Deployment

Integrate LLM predictions into the BN for probabilistic inference, generating a fused sentiment distribution. Deploy the BNLF as a lightweight, inference-only service for real-time sentiment classification.

Phase 4: Interpretability & Performance Monitoring

Conduct inference and influence analyses to understand BNLF's decision-making. Continuously monitor performance on new data and refine BN parameters as needed, ensuring transparency and trustworthiness.

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