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Transformer LMs show emergent reasoning that resists mechanistic understanding. We offer a statistical physics framework for continuous-time chain-of-thought reasoning dynamics. We model sentence-level hidden state trajectories as a…

Artificial Intelligence · Computer Science 2025-06-06 Jack David Carson , Amir Reisizadeh

Trajectory prediction serves as a critical functionality in autonomous driving, enabling the anticipation of future motion paths for traffic participants such as vehicles and pedestrians, which is essential for driving safety. Although…

Robotics · Computer Science 2025-09-16 Wei Dai , Shengen Wu , Wei Wu , Zhenhao Wang , Sisuo Lyu , Haicheng Liao , Limin Yu , Weiping Ding , Runwei Guan , Yutao Yue

Large Language Models (LLMs) perform internal computations in continuous vector spaces yet produce discrete tokens -- a fundamental mismatch whose geometric consequences remain poorly understood. We develop a mathematical framework that…

Machine Learning · Computer Science 2026-03-25 Mohamed A. Mabrok

Diffusion Large Language Models (dLLMs) are rapidly emerging alongside autoregressive models as a powerful paradigm for complex reasoning, with reinforcement learning increasingly used for downstream alignment. Existing trajectory-based RL…

Machine Learning · Computer Science 2025-11-20 Ranfei Chen , Ming Chen , Kaifei Wang

Trajectory generation has recently drawn growing interest in privacy-preserving urban mobility studies and location-based service applications. Although many studies have used deep learning or generative AI methods to model trajectories and…

Machine Learning · Computer Science 2026-03-25 Yuanbo Tang , Yan Tang , Zixuan Zhang , Zihui Zhao , Yang Li

Iterative LLM systems(self-refinement, chain-of-thought, autonomous agents) are increasingly deployed, yet their temporal dynamics remain uncharacterized. Prior work evaluates task performance at convergence but ignores the trajectory: how…

Machine Learning · Computer Science 2026-02-02 Nicolas Tacheny

We study the emergence of multi-step reasoning in deep Transformer language models through a geometric and statistical-physics lens. Treating the hidden-state trajectory as a flow on an implicit Riemannian manifold, we analyze the layerwise…

Machine Learning · Computer Science 2026-01-29 Faruk Alpay , Bugra Kilictas

Token prediction stability remains a challenge in autoregressive generative models, where minor variations in early inference steps often lead to significant semantic drift over extended sequences. A structured modulation mechanism was…

Language models are increasingly used not only as standalone predictors but also as components in larger inference systems, from test-time reasoning to multi-model collaboration. We study language model networks, where pre-trained language…

Artificial Intelligence · Computer Science 2026-05-14 Shiguang Wu , Yaqing Wang , Quanming Yao

The efficiency of multi-agent systems driven by large language models (LLMs) largely hinges on their communication topology. However, designing an optimal topology is a non-trivial challenge, as it requires balancing competing objectives…

Computation and Language · Computer Science 2026-05-19 Eric Hanchen Jiang , Mengting Li , Guancheng Wan , Sophia Yin , Yuchen Wu , Xiao Liang , Xinfeng Li , Yizhou Sun , Wei Wang , Kai-Wei Chang , Ying Nian Wu

Large language models (LLMs) are able to generate grammatically well-formed text, but how do they encode their syntactic knowledge internally? While prior work has focused largely on binary grammatical contrasts, in this work, we study the…

Computation and Language · Computer Science 2025-09-16 Alina Klerings , Jannik Brinkmann , Daniel Ruffinelli , Simone Ponzetto

Recent progress in large models has led to significant advances in unified multimodal generation and understanding. However, the development of models that unify motion-language generation and understanding remains largely underexplored.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Zekun Li , Sizhe An , Chengcheng Tang , Chuan Guo , Ivan Shugurov , Linguang Zhang , Amy Zhao , Srinath Sridhar , Lingling Tao , Abhay Mittal

Large language models (LLMs) achieve state-of-the-art results across many natural language tasks, but their internal mechanisms remain difficult to interpret. In this work, we extract, process, and visualize latent state geometries in…

Machine Learning · Computer Science 2026-01-06 Alex Ning , Vainateya Rangaraju , Yen-Ling Kuo

Existing explainability methods for Large Language Models (LLMs) typically treat hidden states as static points in activation space, assuming that correct and incorrect inferences can be separated using representations from an individual…

Computation and Language · Computer Science 2026-03-03 Hamed Damirchi , Ignacio Meza De la Jara , Ehsan Abbasnejad , Afshar Shamsi , Zhen Zhang , Javen Shi

Full integration of robots into real-life applications necessitates their ability to interpret and execute natural language directives from untrained users. Given the inherent variability in human language, equivalent directives may be…

Robotics · Computer Science 2025-04-08 Eran Beeri Bamani , Eden Nissinman , Rotem Atari , Nevo Heimann Saadon , Avishai Sintov

Recent advances in large language models (LLMs) have sparked growing interest in integrating language-driven techniques into trajectory prediction. By leveraging their semantic and reasoning capabilities, LLMs are reshaping how autonomous…

Computation and Language · Computer Science 2025-10-08 Yi Xu , Ruining Yang , Yitian Zhang , Jianglin Lu , Mingyuan Zhang , Yizhou Wang , Lili Su , Yun Fu

While large language models (LLMs) excel at static scientific reasoning, they struggle to model the temporal structure of dynamic physical processes. We present EvoMD-LLM (Evolutionary Molecular Dynamics Large Language Model), a framework…

Artificial Intelligence · Computer Science 2026-05-29 Zhichen Tang , Zhengzheng Dang , Yulin Chen , Jixin Wu , Haiwen Li , Yanming Wang

Large language models (LLMs) have improved significantly in their reasoning through extensive training on massive datasets. However, relying solely on additional data for improvement is becoming increasingly impractical, highlighting the…

Computation and Language · Computer Science 2025-10-01 Gaurav Srivastava , Zhenyu Bi , Meng Lu , Xuan Wang

This research focuses on assessing the ability of AI foundation models in representing the trajectories of movements. We utilize one of the large language models (LLMs) (i.e., GPT-J) to encode the string format of trajectories and then…

Computation and Language · Computer Science 2024-09-04 Yuhan Ji , Song Gao

While Diffusion Large Language Models (dLLMs) offer structural advantages for global planning, efficiently verifying that they arrive at correct answers via valid reasoning traces remains a critical challenge. In this work, we propose a…

Machine Learning · Computer Science 2026-05-28 Jiaoyang Ruan , Xin Gao , Yinda Chen , Hengyu Zeng , Liang Du , Guanghao Li , Jie Fu , Jian Pu
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