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The traditional framework of federated learning (FL) requires each client to re-train their models in every iteration, making it infeasible for resource-constrained mobile devices to train deep-learning (DL) models. Split learning (SL)…

Machine Learning · Computer Science 2023-03-21 Manas Wadhwa , Gagan Raj Gupta , Ashutosh Sahu , Rahul Saini , Vidhi Mittal

We introduce a new supervised learning algorithm based to train spiking neural networks for classification. The algorithm overcomes a limitation of existing multi-spike learning methods: it solves the problem of interference between…

Neural and Evolutionary Computing · Computer Science 2021-08-12 Huy Le Nguyen , Dominique Chu

In this paper we develop a statistical theory and an implementation of deep learning models. We show that an elegant variable splitting scheme for the alternating direction method of multipliers optimises a deep learning objective. We allow…

Machine Learning · Statistics 2015-09-22 Nicholas G. Polson , Brandon T. Willard , Massoud Heidari

Integer linear programming (ILP) models a wide range of practical combinatorial optimization problems and significantly impacts industry and management sectors. This work proposes new characterizations of ILP with the concept of boundary…

Optimization and Control · Mathematics 2024-03-04 Peng Lin , Shaowei Cai , Mengchuan Zou , Jinkun Lin

Adopting large-scale AI models in enterprise information systems is often hindered by high training costs and long development cycles, posing a significant managerial challenge. The standard end-to-end backpropagation (BP) algorithm is a…

Machine Learning · Computer Science 2026-02-04 Ming-Yao Ho , Cheng-Kai Wang , You-Teng Lin , Hung-Hsuan Chen

Deep Neural Network (DNN) models are usually trained sequentially from one layer to another, which causes forward, backward and update locking's problems, leading to poor performance in terms of training time. The existing parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-25 Samson B. Akintoye , Liangxiu Han , Huw Lloyd , Xin Zhang , Darren Dancey , Haoming Chen , Daoqiang Zhang

In numerical linear algebra, considerable effort has been devoted to obtaining faster algorithms for linear systems whose underlying matrices exhibit structural properties. A prominent success story is the method of generalized nested…

Data Structures and Algorithms · Computer Science 2023-10-26 Sally Dong , Gramoz Goranci , Lawrence Li , Sushant Sachdeva , Guanghao Ye

We study parallel comparison-based algorithms for finding all equivalence classes of a set of $n$ elements, where sorting according to some total order is not possible. Such scenarios arise, for example, in applications, such as in…

Data Structures and Algorithms · Computer Science 2016-05-13 William E. Devanny , Michael T. Goodrich , Kristopher Jetviroj

Efficient deployment of a pre-trained LLM to a cluster with multiple servers is a critical step for providing fast responses to users' queries. The recent success of Mixture-of-Experts (MoE) LLMs raises the question of how to deploy them…

Networking and Internet Architecture · Computer Science 2025-08-14 Danil Sivtsov , Aleksandr Katrutsa , Ivan Oseledets

Machine learning components commonly appear in larger decision-making pipelines; however, the model training process typically focuses only on a loss that measures accuracy between predicted values and ground truth values. Decision-focused…

Machine Learning · Computer Science 2019-07-19 Aaron Ferber , Bryan Wilder , Bistra Dilkina , Milind Tambe

Topic modeling is a very powerful technique in data analysis and data mining but it is generally slow. Many parallelization approaches have been proposed to speed up the learning process. However, they are usually not very efficient because…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-24 Hung Nghiep Tran , Atsuhiro Takasu

This paper generalizes the parallel selected inversion algorithm called PSelInv to sparse non- symmetric matrices. We assume a general sparse matrix A has been decomposed as PAQ = LU on a distributed memory parallel machine, where L, U are…

Mathematical Software · Computer Science 2017-08-16 Mathias Jacquelin , Lin Lin , Chao Yang

Capturing complex user preferences from sparse behavioral sequences remains a fundamental challenge in sequential recommendation. Recent latent reasoning methods have shown promise by extending test-time computation through multi-step…

Information Retrieval · Computer Science 2026-01-07 Jiakai Tang , Xu Chen , Wen Chen , Jian Wu , Yuning Jiang , Bo Zheng

Indexing is an effective way to support efficient query processing in large databases. Recently the concept of learned index, which replaces or complements traditional index structures with machine learning models, has been actively…

Databases · Computer Science 2022-08-01 Yao Tian , Tingyun Yan , Xi Zhao , Kai Huang , Xiaofang Zhou

In the rapidly evolving research on artificial intelligence (AI) the demand for fast, computationally efficient, and scalable solutions has increased in recent years. The problem of optimizing the computing resources for distributed machine…

Machine Learning · Computer Science 2025-10-30 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

Stochastic equations play an important role in computational science, due to their ability to treat a wide variety of complex statistical problems. However, current algorithms are strongly limited by their sampling variance, which scales…

Numerical Analysis · Mathematics 2017-01-04 Bogdan Opanchuk , Simon Kiesewetter , Peter D. Drummond

First-order methods based on the PDHG algorithm have recently emerged as a viable option for efficiently solving large-scale linear programming problems. One highly desirable property of these methods is that they can make effective use of…

Optimization and Control · Mathematics 2025-10-29 Edward Rothberg

We propose a framework for training neural networks that are coupled with partial differential equations (PDEs) in a parallel computing environment. Unlike most distributed computing frameworks for deep neural networks, our focus is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-25 Kailai Xu , Weiqiang Zhu , Eric Darve

Currently, training large-scale deep learning models is typically achieved through parallel training across multiple GPUs. However, due to the inherent communication overhead and synchronization delays in traditional model parallelism…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Xiuyuan Guo , Chengqi Xu , Guinan Guo , Feiyu Zhu , Changpeng Cai , Peizhe Wang , Xiaoming Wei , Junhao Su , Jialin Gao

This paper studies parallel algorithms for the longest increasing subsequence (LIS) problem. Let $n$ be the input size and $k$ be the LIS length of the input. Sequentially, LIS is a simple problem that can be solved using dynamic…

Data Structures and Algorithms · Computer Science 2023-04-19 Yan Gu , Ziyang Men , Zheqi Shen , Yihan Sun , Zijin Wan