Mathematical Analysis of Hallucination Dynamics in Large Language Models: Uncertainty Quantification, Advanced Decoding, and Principled Mitigation

The paper presents StreamingTalker, an autoregressive diffusion model designed for speech-driven 3D facial animation. This model addresses the limitations of previous methods that process audio sequences in a single pass, which can lead to poor performance with longer inputs and increased latency. By processing audio in a streaming manner, StreamingTalker offers flexibility with varying audio lengths and reduces latency, enhancing the realism and synchronization of facial animations.

Multimodal continual instruction tuning allows large language models to adapt to new tasks while retaining previously learned knowledge. This study addresses the challenge of catastrophic forgetting, where learning new tasks can degrade performance on earlier ones. The authors propose a method to approximate missing gradients from previous tasks using geometric properties of parameter space, enhancing model stability and performance during continual learning.

The paper introduces a novel task called code-to-style image generation, which aims to create images with unique and consistent visual styles based solely on numerical style codes. This approach addresses challenges faced by existing generative methods that rely on extensive textual prompts or reference images. The authors present CoTyle, the first open-source method for this task, filling a gap in academic research on visual stylization, which has been largely dominated by industry players like Midjourney.

ConInstruct is a benchmark designed to evaluate Large Language Models (LLMs) on their ability to detect and resolve conflicts in user instructions. While many existing assessments focus on adherence to instructions, ConInstruct addresses the often-overlooked scenarios where conflicting constraints arise. Initial evaluations show that proprietary LLMs generally perform well in conflict detection, with DeepSeek-R1 and Claude-4.5-Sonnet achieving the highest F1-scores.

This paper presents a tractable algorithm for estimating an unknown Lipschitz function from noisy observations, establishing an upper bound on its convergence rate. The approach extends max-affine methods from convex shape-restricted regression to a broader Lipschitz setting. A key component is a nonlinear feature expansion that maps max-affine functions into delta-convex functions, achieving the minimax convergence rate under squared loss and subgaussian distributions.

This research explores retrieval augmented generation as a method for automatic context discovery in context-aware Automatic Speech Recognition (ASR) systems, aiming to enhance transcription accuracy, especially with rare or out-of-vocabulary terms. The study introduces an embedding-based retrieval approach and evaluates its effectiveness against large language model alternatives. Experiments show a reduction in word error rate (WER) by up to 17% compared to no-context, with oracle context achieving a 24.1% reduction.

The paper presents a novel physical adversarial attack targeting stereo matching models used in autonomous driving. Unlike traditional attacks that utilize 2D patches, this approach employs a 3D physical adversarial example (PAE) with global camouflage texture, enhancing visual consistency across various viewpoints. Additionally, a new 3D stereo matching rendering module is introduced to align the PAE with real-world positions in binocular vision, addressing the disparity effects of stereo cameras.

This paper addresses the challenges of learning representations for recipes and food images in cross-modal retrieval. It highlights that treating a recipe solely as a text source can create bias in image-and-recipe similarity judgments. The authors propose a causal theory model to mitigate this bias, emphasizing that factors like cooking processes and image conditions affect the representation learning process.