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We consider optimization problems involving the multiplication of variable matrices to be selected from a given family, which might be a discrete set, a continuous set or a combination of both. Such nonlinear, and possibly discrete,…

Optimization and Control · Mathematics 2021-03-12 Burak Kocuk

To protect user privacy and meet law regulations, federated (machine) learning is obtaining vast interests in recent years. The key principle of federated learning is training a machine learning model without needing to know each user's…

Cryptography and Security · Computer Science 2022-04-12 Di Chai , Leye Wang , Kai Chen , Qiang Yang

With the emergence of privacy leaks in federated learning, secure aggregation protocols that mainly adopt either homomorphic encryption or threshold secret sharing have been widely developed for federated learning to protect the privacy of…

Cryptography and Security · Computer Science 2024-06-03 Xue Yang , Zifeng Liu , Xiaohu Tang , Rongxing Lu , Bo Liu

We consider a problem, which we call secure grouping, of dividing a number of parties into some subsets (groups) in the following manner: Each party has to know the other members of his/her group, while he/she may not know anything about…

Cryptography and Security · Computer Science 2018-10-17 Yuji Hashimoto , Kazumasa Shinagawa , Koji Nuida , Masaki Inamura , Goichiro Hanaoka

In recent times, a plethora of Large Code Generation Models (LCGMs) have been proposed, showcasing significant potential in assisting developers with complex programming tasks. Benchmarking LCGMs necessitates the creation of a set of…

Software Engineering · Computer Science 2024-01-30 Simin Chen , Xiaoning Feng , Xiaohong Han , Cong Liu , Wei Yang

In this paper, we present a coded computation (CC) scheme for distributed computation of the inference phase of machine learning (ML) tasks, specifically, the task of image classification. Building upon Agrawal et al.~2022, the proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-12 Jiepeng Tang , Navneet Agrawal , Slawomir Stanczak , Jingge Zhu

In clinical research, the lack of events of interest often necessitates imbalanced learning. One approach to resolve this obstacle is data integration or sharing, but due to privacy concerns neither is practical. Therefore, there is an…

Machine Learning · Computer Science 2020-09-01 Seok-Ju Hahn , Junghye Lee

Model merging is a widespread technology in large language models (LLMs) that integrates multiple task-specific LLMs into a unified one, enabling the merged model to inherit the specialized capabilities of these LLMs. Most task-specific…

Computation and Language · Computer Science 2025-02-18 Zhenyuan Guo , Yi Shi , Wenlong Meng , Chen Gong , Chengkun Wei , Wenzhi Chen

In todays world, high-power computing applications such as image processing, digital signal processing, graphics, and robotics require enormous computing power. These applications use matrix operations, especially matrix multiplication.…

Hardware Architecture · Computer Science 2019-10-29 Arish S , R. K. Sharma

In this paper, we address the problem of secure distributed computation in scenarios where user data is not uniformly distributed, extending existing frameworks that assume uniformity, an assumption that is challenging to enforce in data…

Information Theory · Computer Science 2025-01-28 Saar Tarnopolsky , Zirui , Deng , Vinayak Ramkumar , Netanel Raviv , Alejandro Cohen

The multiplication of matrices is an important arithmetic operation in computational mathematics. In the context of hierarchical matrices, this operation can be realized by the multiplication of structured block-wise low-rank matrices,…

Numerical Analysis · Mathematics 2018-05-24 Jürgen Dölz , Helmut Harbrecht , Michael D. Multerer

In recent years fused-multiply-add (FMA) units with lower-precision multiplications and higher-precision accumulation have proven useful in machine learning/artificial intelligence applications, most notably in training deep neural networks…

Mathematical Software · Computer Science 2019-04-16 Greg Henry , Ping Tak Peter Tang , Alexander Heinecke

Multi-robot systems require scalable and federated methods to model complex environments under computational and communication constraints. Gaussian Processes (GPs) offer robust probabilistic modeling, but suffer from cubic computational…

Multiagent Systems · Computer Science 2026-02-13 Sanket A. Salunkhe , George P. Kontoudis

Exact diagonalization is a powerful tool to study fractional quantum Hall (FQH) systems. However, its capability is limited by the exponentially increasing computational cost. In order to overcome this difficulty,…

Strongly Correlated Electrons · Physics 2015-10-01 Zhao Liu , R. N. Bhatt

Fuzzy clustering algorithms can be roughly categorized into two main groups: Fuzzy C-Means (FCM) based methods and mixture model based methods. However, for almost all existing FCM based methods, how to automatically selecting proper…

Machine Learning · Computer Science 2024-05-24 Qiang Chen , Weizhong Yu , Feiping Nie , Xuelong Li

We show that polynomial codes (and some related codes) used for distributed matrix multiplication are interleaved Reed-Solomon codes and, hence, can be collaboratively decoded. We consider a fault tolerant setup where $t$ worker nodes…

Information Theory · Computer Science 2019-06-03 Adarsh M. Subramaniam , Anoosheh Heiderzadeh , Krishna R. Narayanan

In recent years, edge computing (EC) has attracted great attention for its high-speed computing and low-latency characteristics. However, there are many challenges in the implementation of EC. Firstly, user's privacy has been raised as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-20 Jiqing Chang , Jin Wang , Kejie Lu , Lingzhi Li , Fei Gu , Jianping Wang

Polynomial based approaches, such as the Mat-Dot and entangled polynomial codes (EPC) have been used extensively within coded matrix computations to obtain schemes with good recovery thresholds. However, these schemes are well-recognized to…

Information Theory · Computer Science 2023-05-11 Kyungrak Son , Aditya Ramamoorthy

Federated learning (FL) is a privacy-aware data mining strategy keeping the private data on the owners' machine and thereby confidential. The clients compute local models and send them to an aggregator which computes a global model. In…

Cryptography and Security · Computer Science 2022-10-13 Anne Hartebrodt , Richard Röttger

Alternating Direction Method of Multipliers (ADMM) is a popular algorithm for distributed learning, where a network of nodes collaboratively solve a regularized empirical risk minimization by iterative local computation associated with…

Machine Learning · Computer Science 2020-05-19 Zonghao Huang , Yanmin Gong
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