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Matrix multiplication is a fundamental computation in many scientific disciplines. In this paper, we show that novel fast matrix multiplication algorithms can significantly outperform vendor implementations of the classical algorithm and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-08 Austin R. Benson , Grey Ballard

Immersed boundary-lattice Boltzmann method (IB-LBM) has been widely used for simulation of particle-laden flows recently. However, it was limited to small-scale simulations with no more than O(103) particles. Here, we expand IB-LBM for…

Computational Physics · Physics 2020-02-21 Maoqiang Jiang , Jing Li , Zhaohui Liu

Mixed-Integer Programming (MIP), particularly Mixed-Integer Linear Programming (MILP) and Mixed-Integer Quadratic Programming (MIQP), has found extensive applications in domains such as portfolio optimization and network flow control, which…

Optimization and Control · Mathematics 2026-02-03 Zayn Wang

Mixup refers to interpolation-based data augmentation, originally motivated as a way to go beyond empirical risk minimization (ERM). Its extensions mostly focus on the definition of interpolation and the space (input or feature) where it…

Machine Learning · Computer Science 2023-11-10 Shashanka Venkataramanan , Ewa Kijak , Laurent Amsaleg , Yannis Avrithis

Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

Numerical Analysis · Mathematics 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

Real-world data such as digital images, MRI scans and electroencephalography signals are naturally represented as matrices with structural information. Most existing classifiers aim to capture these structures by regularizing the regression…

Machine Learning · Statistics 2018-12-31 Yunfei Ye , Dong Han

As large language models (LLMs) continue to scale, their workloads increasingly rely on distributed execution across multiple GPUs. However, the conventional bulk synchronous parallel~(BSP) model used in such settings introduces significant…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-05 Octavian Alexandru Trifan , Karthik Sangaiah , Muhammad Awad , Muhammad Osama , Sumanth Gudaparthi , Alexandru Nicolau , Alexander Veidenbaum , Ganesh Dasika

Matrix multiplication is fundamental in the backpropagation algorithm used to train deep neural network models. Libraries like Intel's MKL or NVIDIA's cuBLAS implemented new and optimized matrix multiplication techniques that increase…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-28 L. A. Torres , Carlos J. Barrios H , Yves Denneulin

Homomorphic encryption is a cryptographic paradigm allowing to compute on encrypted data, opening a wide range of applications in privacy-preserving data manipulation, notably in AI. Many of those applications require significant linear…

Cryptography and Security · Computer Science 2026-04-28 Youngjin Bae , Jung Hee Cheon , Guillaume Hanrot , Jai Hyun Park , Damien Stehlé

Matrix completion is fundamental for predicting missing data with a wide range of applications in personalized healthcare, e-commerce, recommendation systems, and social network analysis. Traditional matrix completion approaches typically…

Machine Learning · Computer Science 2025-03-19 Patrick Hytla , Tran T. A. Nghia , Duy Nhat Phan , Andrew Rice

Matrix-multiplication units (MXUs) are now prevalent in every computing platform. The key attribute that makes MXUs so successful is the semiring structure, which allows tiling for both parallelism and data reuse. Nonetheless,…

Hardware Architecture · Computer Science 2022-09-02 Yunan Zhang , Po-An Tsai , Hung-Wei Tseng

The emerging memristive Memory Processing Unit (mMPU) overcomes the memory wall through memristive devices that unite storage and logic for real processing-in-memory (PIM) systems. At the core of the mMPU is stateful logic, which is…

Hardware Architecture · Computer Science 2022-07-01 Orian Leitersdorf , Ronny Ronen , Shahar Kvatinsky

Finite mixture models are powerful tools for modelling and analyzing heterogeneous data. Parameter estimation is typically carried out using maximum likelihood estimation via the Expectation-Maximization (EM) algorithm. Recently, the…

Computation · Statistics 2020-05-15 Sharon X. Lee , Geoffrey J. McLachlan , Kaleb L. Leemaqz

This work presents a general framework for the operationally driven optimal siting and sizing of battery energy storage systems in power transmission networks, aimed at enhancing their resource adequacy. The approach considers multi-period…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Ginevra Larroux , Matthieu Jacobs , Keyu Jia , Fabrizio Sossan , Mario Paolone

We present a mixed-precision benchmark called HPL-MxP that uses both a lower-precision LU factorization with a non-stationary iterative refinement based on GMRES. We evaluate the numerical stability of one of the methods of generating the…

Numerical Analysis · Mathematics 2025-09-25 Jack Dongarra , Piotr Luszczek

Asymmetric processors have emerged as an appealing technology for severely energy-constrained environments, especially in the mobile market where heterogeneity in applications is mainstream. In addition, given the growing interest on ultra…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-21 Sandra Catalán , Francisco D. Igual , Rafael Mayo , Luis Piñuel , Enrique S. Quintana-Ortí , Rafael Rodríguez-Sánchez

Scaling data volume and diversity is critical for generalizing embodied intelligence. While synthetic data generation offers a scalable alternative to expensive physical data acquisition, existing pipelines remain fragmented and…

We study two problems of private matrix multiplication, over a distributed computing system consisting of a master node, and multiple servers that collectively store a family of public matrices using Maximum-Distance-Separable (MDS) codes.…

Information Theory · Computer Science 2023-03-01 Jinbao Zhu , Songze Li , Jie Li

Typical deep clustering methods, while achieving notable progress, can only provide one clustering result per dataset. This limitation arises from their assumption of a fixed underlying data distribution, which may fail to meet user needs…

Machine Learning · Computer Science 2025-12-02 Xinyue Wang , Yuheng Jia , Hui Liu , Junhui Hou

Model merging aims to integrate multiple task-specific fine-tuned models derived from a shared pre-trained checkpoint into a single multi-task model without additional training. Despite extensive research, task interference remains a major…

Machine Learning · Computer Science 2026-02-25 Longhua Li , Lei Qi , Qi Tian , Xin Geng
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