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Uncertainty Quantification for Multimodal Large Language Models with Incoherence-adjusted Semantic Volume

AuthorsGregory Kang Ruey Lau et al.
Year2026
FieldAI / Agents
arXiv2602.24195
PDFDownload
Categoriescs.AI, cs.CL, cs.CV, cs.LG

Abstract

Despite their capabilities, Multimodal Large Language Models (MLLMs) may produce plausible but erroneous outputs, hindering reliable deployment. Accurate uncertainty metrics could enable escalation of unreliable queries to human experts or larger models for improved performance. However, existing uncertainty metrics have practical constraints, such as being designed only for specific modalities, reliant on external tools, or computationally expensive. We introduce UMPIRE, a training-free uncertainty quantification framework for MLLMs that works efficiently across various input and output modalities without external tools, relying only on the models' own internal modality features. UMPIRE computes the incoherence-adjusted semantic volume of sampled MLLM responses for a given task instance, effectively capturing both the global semantic diversity of samples and the local incoherence of responses based on internal model confidence. We propose uncertainty desiderata for MLLMs and provide theoretical analysis motivating UMPIRE's design. Extensive experiments show that UMPIRE consistently outperforms baseline metrics in error detection and uncertainty calibration across image, audio, and video-text benchmarks, including adversarial and out-of-distribution settings. We also demonstrate UMPIRE's generalization to non-text output tasks, including image and audio generation.


Engineering Breakdown

Plain English

This paper introduces UMPIRE, a training-free framework for measuring uncertainty in multimodal large language models (MLLMs) that can process images, text, and other modalities without requiring external tools or specialized model modifications. The core problem is that MLLMs often generate confident-sounding but incorrect outputs, making them risky for deployment in high-stakes scenarios where wrong answers matter. UMPIRE solves this by analyzing the internal feature representations of multiple sampled model responses and computing an 'incoherence-adjusted semantic volume' metric that reliably quantifies whether the model is uncertain about its answer. This enables practical escalation workflows where low-confidence queries are routed to humans or larger models, improving overall system reliability without the computational overhead of existing uncertainty methods.

Core Technical Contribution

The paper's key innovation is the incoherence-adjusted semantic volume metric, which combines geometric intuition from semantic embedding spaces with a coherence penalty that captures disagreement across modality-specific features. Unlike prior uncertainty methods that work only for text, require external models (like smaller classifiers or retrieval systems), or demand expensive sampling procedures, UMPIRE operates entirely within the MLLM's own hidden representations across all input/output modality combinations. The approach is training-free, meaning it doesn't require fine-tuning the base model or retraining on uncertainty-labeled data, making it immediately applicable to any existing MLLM architecture. The semantic volume concept—treating multiple sampled responses as a cloud of points in embedding space and measuring their spread while penalizing incoherence across modalities—is novel in how it accounts for multimodal disagreement patterns that unimodal metrics miss.

How It Works

UMPIRE operates in four steps: (1) Given an input query (text, image, or both), the MLLM is prompted to generate multiple diverse responses, typically through nucleus sampling or temperature-based sampling to create output variation. (2) For each response, the framework extracts internal representations from the model's hidden layers, capturing both text-specific embeddings and image-specific feature activations—this is where multimodal information is preserved. (3) These response embeddings are treated as points in a high-dimensional semantic space, and the algorithm computes their convex hull or bounding volume, effectively measuring how spread-out or concentrated the model's responses are. (4) The raw geometric volume is adjusted downward by a coherence penalty that measures how much disagreement exists between modality streams—if the text features and vision features agree on a response but disagree on another, that disagreement signal is encoded into the final uncertainty score. The output is a single scalar uncertainty score per query instance, with higher scores indicating lower confidence and triggering human review or model escalation.

Production Impact

For teams deploying MLLMs in real applications (medical imaging analysis, document understanding, e-commerce product QA), UMPIRE enables a practical two-tier system where simple queries flow through the model directly, but uncertain predictions are caught before reaching users and either escalated to human experts or sent to a larger, slower model. The framework is computationally efficient—requiring only a few forward passes to generate multiple samples and extract existing activations—so it adds perhaps 3-5x compute cost during inference (for sampling multiple responses) rather than the 10-100x overhead of ensemble methods or external verification models. Integration is straightforward since UMPIRE doesn't require model retraining; you can wrap it around any existing MLLM API or weights without modification. The key trade-off is that effectiveness depends on having good response diversity from sampling—if the model's samples are too similar or all confidently wrong, the metric will be uninformative, requiring careful tuning of sampling temperature and num_samples hyperparameters. This approach directly improves user experience by reducing hallucinations reaching end users and reducing unnecessary human review time on high-confidence correct predictions.

Limitations and When Not to Use This

The method assumes that response diversity in embedding space correlates with true model uncertainty, which may not hold if the model is systematically biased or exhibits 'confident mistakes'—it measures disagreement, not correctness. UMPIRE's performance likely degrades on truly novel or out-of-distribution queries where even diverse samples might cluster in misleading regions of embedding space, and the paper doesn't thoroughly discuss failure modes in distribution shift scenarios. The approach requires multiple forward passes per query (typically 5-10 samples), which increases latency compared to single-pass inference and may be unacceptable for real-time applications like live chatbots with strict response-time SLAs. The incoherence adjustment mechanism is heuristic-based and not theoretically justified; it's unclear how to tune the coherence penalty weight in practice across different modality combinations, and the paper likely doesn't provide principled guidance for this hyperparameter. Finally, the framework is only evaluated on particular MLLM architectures and datasets; generalization to future models with different training procedures, architectural choices, or modality combinations remains an open question.

Research Context

This work builds on a long history of uncertainty quantification in neural networks, from Bayesian approaches (MCMC, variational inference) to ensemble methods and modern calibration techniques, but extends these ideas to the multimodal setting where existing methods designed for text-only or vision-only models don't naturally transfer. The paper likely benchmarks against baselines like confidence-based filtering (using softmax probabilities directly), other sampling-based methods (MC dropout if applicable), and perhaps external verification approaches (using a separate smaller model to validate predictions). It contributes to the growing subfield of multimodal foundation model reliability and robustness, which has become critical as MLLMs are deployed in production systems—related work includes model alignment, hallucination detection, and factuality verification papers. The research opens directions for future work on theoretically-grounded uncertainty metrics for multimodal models, adaptation of UMPIRE to newer architectures like vision transformers with dense multimodal fusion, and integration with other reliability mechanisms like retrieval-augmented generation or structured output constraints.


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