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This paper investigates two related optimal input selection problems for fixed (non-switched) and switched structured systems. More precisely, we consider selecting the minimum cost of inputs from a prior set of inputs, and selecting the…

Systems and Control · Electrical Eng. & Systems 2022-10-20 Yuan Zhang , Yuanqing Xia , Shenyu Liu , Zhongqi Sun

In simulations of fluid motion time accuracy has proven to be elusive. We seek highly accurate methods with strong enough stability properties to deal with the richness of scales of many flows. These methods must also be easy to implement…

Numerical Analysis · Mathematics 2020-10-14 Victor DeCaria , Sigal Gottlieb , Zachary J. Grant , William J. Layton

The classical line search for learning rate (LR) tuning in the stochastic gradient descent (SGD) algorithm can tame the convergence slowdown due to data-sampling noise. In a federated setting, wherein the client heterogeneity introduces a…

Machine Learning · Computer Science 2025-10-28 Geetika , Somya Tyagi , Bapi Chatterjee

Large language models (LLMs) are powerful tools that have found applications beyond human-machine interfaces and chatbots. In particular, their ability to generate reasoning traces motivated their use in many prediction tasks like math…

Computation and Language · Computer Science 2026-03-03 Ayoub Hammal , Pierre Zweigenbaum , Caio Corro

The rapid proliferation of large language models (LLMs) such as GPT-4 and Gemini underscores the intense demand for resources during their training processes, posing significant challenges due to substantial computational and environmental…

Computation and Language · Computer Science 2025-06-04 Deyuan Liu , Zecheng Wang , Bingning Wang , Weipeng Chen , Chunshan Li , Zhiying Tu , Dianhui Chu , Bo Li , Dianbo Sui

Graph Neural Networks (GNNs) have achieved remarkable success in learning node representations and have shown strong performance in tasks such as node classification. However, recent findings indicate that the presence of noise in…

Machine Learning · Computer Science 2025-07-01 Yancheng Wang , Yingzhen Yang

Parameter quantization for Large Language Models (LLMs) has attracted increasing attentions recently in reducing memory costs and improving computational efficiency. Early approaches have been widely adopted. However, the existing methods…

Machine Learning · Computer Science 2024-06-04 Haoyu Wang , Bei Liu , Hang Shao , Bo Xiao , Ke Zeng , Guanglu Wan , Yanmin Qian

Batch data analytics is a growing application for Large Language Models (LLMs). LLMs enable users to perform a wide range of natural language tasks, such as classification, entity extraction, and translation, over large datasets. However,…

Contrastive Learning (CL) has recently emerged as a powerful technique in recommendation systems, particularly for its capability to harness self-supervised signals from perturbed views to mitigate the persistent challenge of data sparsity.…

Information Retrieval · Computer Science 2025-04-08 Zheyu Chen , Jinfeng Xu , Yutong Wei , Ziyue Peng

Large language models (LLMs) have recently been adopted for recommendation by framing user preference modeling as a language generation problem. However, existing latent reasoning approaches typically represent user intent with a single…

Information Retrieval · Computer Science 2026-04-30 Tianqi Gao , Chengkai Huang , Zihan Wang , Cao Liu , Ke Zeng , Lina Yao

Block coordinate descent (BCD) methods are widely used for large-scale numerical optimization because of their cheap iteration costs, low memory requirements, amenability to parallelization, and ability to exploit problem structure. Three…

Optimization and Control · Mathematics 2022-08-02 Julie Nutini , Issam Laradji , Mark Schmidt

Contextual sequential decision problems with categorical or numerical observations are ubiquitous and Generalized Linear Bandits (GLB) offer a solid theoretical framework to address them. In contrast to the case of linear bandits, existing…

Machine Learning · Computer Science 2021-03-05 Yoan Russac , Louis Faury , Olivier Cappé , Aurélien Garivier

In this paper, we propose a new greedy algorithm for sparse approximation, called SLS for Single L_1 Selection. SLS essentially consists of a greedy forward strategy, where the selection rule of a new component at each iteration is based on…

Optimization and Control · Mathematics 2021-02-12 Ramzi Ben Mhenni , Sébastien Bourguignon , Jérôme Idier

Federated learning (FL) enables distributed model training from local data collected by users. In distributed systems with constrained resources and potentially high dynamics, e.g., mobile edge networks, the efficiency of FL is an important…

Machine Learning · Computer Science 2022-12-19 Shiqiang Wang , Jake Perazzone , Mingyue Ji , Kevin S. Chan

Fine-tuning pre-trained large language models (LLMs) with limited hardware presents challenges due to GPU memory constraints. Various distributed fine-tuning methods have been proposed to alleviate memory constraints on GPU. However,…

Artificial Intelligence · Computer Science 2024-04-18 Taeho Kim , Yanming Wang , Vatshank Chaturvedi , Lokesh Gupta , Seyeon Kim , Yongin Kwon , Sangtae Ha

Recently, large language models (LLMs) have demonstrated superior performance across various tasks by adhering to scaling laws, which significantly increase model size. However, the huge computation overhead during inference hinders the…

Computation and Language · Computer Science 2024-12-17 Zekai Li , Jintu Zheng , Ji Liu , Han Liu , Haowei Zhu , Zeping Li , Fuwei Yang , Haiduo Huang , Jinzhang Peng , Dong Li , Lu Tian , Emad Barsoum

Balancing sensitivity to new tasks and stability for retaining past knowledge is crucial in continual learning (CL). Recently, sharpness-aware minimization has proven effective in transfer learning and has also been adopted in continual…

Machine Learning · Computer Science 2025-09-01 Wei Li , Hangjie Yuan , Zixiang Zhao , Yifan Zhu , Aojun Lu , Tao Feng , Yanan Sun

Large Language Models (LLM) have brought numerous of new applications to Machine Learning (ML). In the context of tabular data (TD), recent studies show that TabLLM is a very powerful mechanism for few-shot-learning (FSL) applications, even…

Machine Learning · Computer Science 2024-11-08 Carlos Huertas

We have witnessed that strong LLMs like Qwen-Math, MiMo, and Phi-4 possess immense reasoning potential inherited from the pre-training stage. With reinforcement learning (RL), these models can improve dramatically on reasoning tasks. Recent…

Computation and Language · Computer Science 2025-06-06 Yubo Wang , Ping Nie , Kai Zou , Lijun Wu , Wenhu Chen

Linear programming (LP) relaxation is a standard technique for solving hard combinatorial optimization (CO) problems. Here we present a gradient descent algorithm which exploits the special structure of some LP relaxations induced by CO…

Optimization and Control · Mathematics 2020-11-17 Alexey Antonov