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The Koopman operator lifts nonlinear dynamical systems into a functional space of observables, where the dynamics are linear. In this paper, we provide three different Koopman representations for hybrid systems. The first is specific to…

Dynamical Systems · Mathematics 2020-06-23 Craig Bakker , Arnab Bhattacharya , Samrat Chatterjee , Casey J. Perkins , Matthew R. Oster

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

Disentangling complex data to its latent factors of variation is a fundamental task in representation learning. Existing work on sequential disentanglement mostly provides two factor representations, i.e., it separates the data to…

Machine Learning · Computer Science 2023-03-31 Nimrod Berman , Ilan Naiman , Omri Azencot

We develop a Koopman operator framework for studying the {computational properties} of dynamical systems. Specifically, we show that the resolvent of the Koopman operator provides a natural abstraction of halting, yielding a ``Koopman…

Mathematical Physics · Physics 2025-10-08 Francesco Caravelli , Jean-Charles Delvenne

Recent deep learning extensions in Koopman theory have enabled compact, interpretable representations of nonlinear dynamical systems which are amenable to linear analysis. Deep Koopman networks attempt to learn the Koopman eigenfunctions…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Scott Leask , Vincent McDonell

In this paper, we introduce a large model-empowered streaming semantic communication system for speech transmission across various languages, named LSSC-ST. Specifically, we devise an edge-device collaborative semantic communication…

Audio and Speech Processing · Electrical Eng. & Systems 2025-02-24 Zhenzi Weng , Zhijin Qin , Geoffrey Ye Li

Existing deep learning-enabled semantic communication systems often rely on shared background knowledge between the transmitter and receiver that includes empirical data and their associated semantic information. In practice, the semantic…

Information Theory · Computer Science 2022-10-19 Hongwei Zhang , Shuo Shao , Meixia Tao , Xiaoyan Bi , Khaled B. Letaief

The modeling of nonlinear dynamics based on Koopman operator theory, which is originally applicable only to autonomous systems with no control, is extended to non-autonomous control system without approximation to input matrix B. Prevailing…

Systems and Control · Electrical Eng. & Systems 2024-08-23 H. Harry Asada , Jose A. Solano-Castellanos

Model predictive control strategies require to solve in an sequential manner, many, possibly non-convex, optimization problems. In this work, we propose an interacting stochastic agent system to solve those problems. The agents evolve in…

Optimization and Control · Mathematics 2023-12-21 Giacomo Borghi , Michael Herty

Artificial intelligence (AI) promises to revolutionize the design, optimization and management of next-generation communication systems. In this article, we explore the integration of large AI models (LAMs) into semantic communications…

Artificial Intelligence · Computer Science 2025-03-31 Wanli Ni , Zhijin Qin , Haofeng Sun , Xiaoming Tao , Zhu Han

Context compression is an advanced technique that accelerates large language model (LLM) inference by converting long inputs into compact representations. Existing methods primarily rely on autoencoding tasks to train special compression…

Computation and Language · Computer Science 2026-03-12 Xin Liu , Runsong Zhao , Pengcheng Huang , Xinyu Liu , Junyi Xiao , Chunyang Xiao , Tong Xiao , Shengxiang Gao , Zhengtao Yu , Jingbo Zhu

Recent studies have focused on leveraging large-scale artificial intelligence (LAI) models to improve semantic representation and compression capabilities. However, the substantial computational demands of LAI models pose significant…

Machine Learning · Computer Science 2025-06-17 Chuanhong Liu , Caili Guo , Yang Yang , Mingzhe Chen , Tony Q. S. Quek

Deep learning (DL) based semantic communication methods have been explored for the efficient transmission of images, text, and speech in recent years. In contrast to traditional wireless communication methods that focus on the transmission…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-08 Tianxiao Han , Qianqian Yang , Zhiguo Shi , Shibo He , Zhaoyang Zhang

Sparse autoencoders (SAEs) have recently emerged as a powerful tool for language model steering. Prior work has explored top-k SAE latents for steering, but we observe that many dimensions among the top-k latents capture non-semantic…

Computation and Language · Computer Science 2025-10-03 Jiaqing Xie

With the development of deep learning (DL), natural language processing (NLP) makes it possible for us to analyze and understand a large amount of language texts. Accordingly, we can achieve a semantic communication in terms of joint…

Computation and Language · Computer Science 2021-11-30 Qingyang Zhou , Rongpeng Li , Zhifeng Zhao , Chenghui Peng , Honggang Zhang

Most state-of-the-art sign language models are trained on interpreter or isolated vocabulary data, which overlooks the variability that characterizes natural dialogue. However, human communication dynamically adapts to contexts and…

Computation and Language · Computer Science 2025-10-29 Saki Imai , Lee Kezar , Laurel Aichler , Mert Inan , Erin Walker , Alicia Wooten , Lorna Quandt , Malihe Alikhani

Time-dependent structural reliability analysis of nonlinear dynamical systems is non-trivial; subsequently, scope of most of the structural reliability analysis methods is limited to time-independent reliability analysis only. In this work,…

Machine Learning · Statistics 2024-09-21 Navaneeth N. , Souvik Chakraborty

Koopman analysis of a general dynamics system provides a linear Koopman operator and an embedded eigenfunction space, enabling the application of standard techniques from linear analysis. However, in practice, deriving exact operators and…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Alexander Estornell , Leonard Jung , Alenna Spiro , Mario Sznaier , Michael Everett

This paper explores the application of Koopman operator theory to the control of robotic systems. The operator is introduced as a method to generate data-driven models that have utility for model-based control methods. We then motivate the…

Robotics · Computer Science 2017-09-07 Ian Abraham , Gerardo De La Torre , Todd D. Murphey

One of the biggest bottlenecks in building accurate, high coverage neural open IE systems is the need for large labelled corpora. The diversity of open domain corpora and the variety of natural language expressions further exacerbate this…

Computation and Language · Computer Science 2021-03-08 Jialong Tang , Yaojie Lu , Hongyu Lin , Xianpei Han , Le Sun , Xinyan Xiao , Hua Wu
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