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We present Latent Diffeomorphic Dynamic Mode Decomposition (LDDMD), a new data reduction approach for the analysis of non-linear systems that combines the interpretability of Dynamic Mode Decomposition (DMD) with the predictive power of…

机器学习 · 计算机科学 2025-08-04 Willem Diepeveen , Jon Schwenk , Andrea Bertozzi

This paper identifies a new class of shape invariant models. These models are based on extensions of conventional quantum mechanics that satisfy a string-motivated minimal length uncertainty relation. An important feature of our…

量子物理 · 物理学 2009-11-13 Donald Spector

Linear regression on network-linked observations has been an essential tool in modeling the relationship between response and covariates with additional network structures. Previous methods either lack inference tools or rely on restrictive…

统计方法学 · 统计学 2022-08-22 Can M. Le , Tianxi Li

Adaptive model predictive control (MPC) robustly ensures safety while reducing uncertainty during operation. In this paper, a distributed version is proposed to deal with network systems featuring multiple agents and limited communication.…

系统与控制 · 电气工程与系统科学 2024-04-17 Anilkumar Parsi , Ahmed Aboudonia , Andrea Iannelli , John Lygeros , Roy S. Smith

The contribution of this paper is a framework for training and evaluation of Model Predictive Control (MPC) implemented using constrained neural networks. Recent studies have proposed to use neural networks with differentiable convex…

机器学习 · 统计学 2020-05-11 Rebecka Winqvist , Arun Venkitaraman , Bo Wahlberg

Recent advancements in Large Language Models (LLMs) underscore the necessity of Retrieval Augmented Generation (RAG) to leverage external information. However, LLMs are sensitive to the position of relevant information within contexts and…

人工智能 · 计算机科学 2025-01-24 Philhoon Oh , Jinwoo Shin , James Thorne

Open-set object recognition aims to identify if an object is from a class that has been encountered during training or not. To perform open-set object recognition accurately, a key challenge is how to reduce the reliance on…

计算机视觉与模式识别 · 计算机科学 2023-12-22 Haoxuan Qu , Xiaofei Hui , Yujun Cai , Jun Liu

Large language models (LLMs) are powerful models that can learn concepts at the inference stage via in-context learning (ICL). While theoretical studies, e.g., \cite{zhang2023trained}, attempt to explain the mechanism of ICL, they assume…

机器学习 · 计算机科学 2024-06-19 Yue Xing , Xiaofeng Lin , Chenheng Xu , Namjoon Suh , Qifan Song , Guang Cheng

Distributed machine learning (ML) over wireless networks hinges on accurate channel state information (CSI) and efficient exchange of high-dimensional model updates. These demands are governed by channel coherence time and bandwidth, which…

信息论 · 计算机科学 2026-03-10 Mehdi Karbalayghareh , David J. Love , Christopher G. Brinton

In this paper, we propose an intermittent communication framework for mobile robot networks. Specifically, we consider robots that move along the edges of a connected mobility graph and communicate only when they meet at the nodes of that…

多智能体系统 · 计算机科学 2016-09-23 Yiannis Kantaros , Michael M. Zavlanos

In the analysis of machine learning models, it is often convenient to assume that the parameters are IID. This assumption is not satisfied when the parameters are updated through training processes such as SGD. A relaxation of the IID…

机器学习 · 计算机科学 2018-10-30 Russell Tsuchida , Fred Roosta , Marcus Gallagher

We investigate the relation between end-to-end equivariance and layerwise equivariance in deep neural networks. We prove the following: For a network whose end-to-end function is equivariant with respect to group actions on the input and…

机器学习 · 计算机科学 2026-01-30 Vahid Shahverdi , Giovanni Luca Marchetti , Georg Bökman , Kathlén Kohn

Invariances in neural networks are useful and necessary for many tasks. However, the representation of the invariance of most neural network models has not been characterized. We propose measures to quantify the invariance of neural…

In the domain of sequence modelling, Recurrent Neural Networks (RNN) have been capable of achieving impressive results in a variety of application areas including visual question answering, part-of-speech tagging and machine translation.…

机器学习 · 计算机科学 2018-05-22 Tharindu Fernando , Simon Denman , Aaron McFadyen , Sridha Sridharan , Clinton Fookes

Considering smooth mappings from input vectors to continuous targets, our goal is to characterise subspaces of the input domain, which are invariant under such mappings. Thus, we want to characterise manifolds implicitly defined by level…

机器学习 · 计算机科学 2022-04-15 Vitali Nesterov , Fabricio Arend Torres , Monika Nagy-Huber , Maxim Samarin , Volker Roth

This paper addresses the problem of mixed-membership estimation in networks, where the goal is to efficiently estimate the latent mixed-membership structure from the observed network. Recognizing the widespread availability and valuable…

统计理论 · 数学 2025-02-11 Jianqing Fan , Jiawei Ge , Jikai Hou

Can autoregressive large language models (LLMs) learn consistent probability distributions when trained on sequences in different token orders? We prove formally that for any well-defined probability distribution, sequence perplexity is…

计算与语言 · 计算机科学 2025-05-14 Xiaoliang Luo , Xinyi Xu , Michael Ramscar , Bradley C. Love

We consider the problem of robust and adaptive model predictive control (MPC) of a linear system, with unknown parameters that are learned along the way (adaptive), in a critical setting where failures must be prevented (robust). This…

机器学习 · 计算机科学 2020-10-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

Federated fine-tuning enables privacy-preserving LLM adaptation but faces a critical bottleneck: the disparity between LLMs' high memory demands and edge devices' limited capacity. To break the memory barrier, we propose Chain Federated…

分布式、并行与集群计算 · 计算机科学 2026-04-09 Yebo Wu , Jingguang Li , Chunlin Tian , Kahou Tam , Zhijiang Guo , Li Li

Large Language Models (LLMs) are becoming increasingly popular in pervasive computing due to their versatility and strong performance. However, despite their ubiquitous use, the exact mechanisms underlying their outstanding performance…

计算与语言 · 计算机科学 2026-02-02 Alhassan Abdelhalim , Janick Edinger , Sören Laue , Michaela Regneri