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We introduce a new resource-efficient scheme for fault-tolerant quantum computation known as `macroscale multiplexing' (or simply `Macromux'), that utilizes scalable postselection to significantly improve the threshold of a given…

Locally repairable codes (LRCs) are error correcting codes used in distributed data storage. A traditional approach is to look for codes which simultaneously maximize error tolerance and minimize storage space consumption. However, this…

信息论 · 计算机科学 2015-12-21 Antti Pöllänen

In this paper we study submodular maximization under a matroid constraint in the adaptive complexity model. This model was recently introduced in the context of submodular optimization in [BS18a] to quantify the information theoretic…

数据结构与算法 · 计算机科学 2018-11-09 Eric Balkanski , Aviad Rubinstein , Yaron Singer

Fault tolerance is a major concern in distributed computational settings. In the classic master-worker setting, a server (the master) needs to perform some heavy computation which it may distribute to $m$ other machines (workers) in order…

分布式、并行与集群计算 · 计算机科学 2024-10-30 Keren Censor-Hillel , Yuka Machino , Pedro Soto

Modern technologies are producing datasets with complex intrinsic structures, and they can be naturally represented as matrices instead of vectors. To preserve the latent data structures during processing, modern regression approaches…

机器学习 · 计算机科学 2016-11-16 Hang Zhang , Fengyuan Zhu , Shixin Li

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

数值分析 · 数学 2016-06-07 Victor Y. Pan , Liang Zhao

This paper presents an efficient method to perform Structured Matrix Approximation by Separation and Hierarchy (SMASH), when the original dense matrix is associated with a kernel function. Given points in a domain, a tree structure is first…

数值分析 · 数学 2017-05-17 Difeng Cai , Edmond Chow , Yousef Saad , Yuanzhe Xi

Large neural networks excel in many domains, but they are expensive to train and fine-tune. A popular approach to reduce their compute or memory requirements is to replace dense weight matrices with structured ones (e.g., sparse, low-rank,…

Federated efficient fine-tuning has emerged as an approach that leverages distributed data and computational resources across nodes to address the challenges of large-scale fine-tuning and privacy preservation. The Low-Rank Adaptation…

机器学习 · 计算机科学 2025-10-14 Jianzhe Zhao , Hailin Zhu , Yu Zhang , Ziqi Chen , Guibing Guo

Machine learning (ML) is probably the first and foremost used technique to deal with the size and complexity of the new generation of data. In this paper, we analyze one of the means to increase the performances of ML algorithms which is…

机器学习 · 计算机科学 2020-01-10 Imen Chakroun , Tom Vander Aa , Tom Ashby

The hierarchical matrix framework partitions matrices into subblocks that are either small or of low numerical rank, enabling linear storage complexity and efficient matrix-vector multiplication. This work focuses on the $H^2$-matrix format…

数值分析 · 数学 2026-02-02 Anna Yesypenko , Per-Gunnar Martinsson

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

分布式、并行与集群计算 · 计算机科学 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

In fine-tuning large language models (LLMs), conserving computational resources while maintaining effectiveness and improving outcomes within the same computational constraints is crucial. The Low-Rank Adaptation (LoRA) strategy balances…

机器学习 · 计算机科学 2024-09-05 Xiaojun Xiao , Sen Shen , Qiming Bao , Hongfei Rong , Kairui Liu , Zhongsheng Wang , Jiamou Liu

We improve the performance of multigrid solvers on many-core architectures with cache hierarchies by reorganizing operations in the smoothing step to minimize memory transfers. We focus on patch smoothers, which offer robust convergence…

数值分析 · 数学 2025-06-23 Michał Wichrowski , Peter Munch , Martin Kronbichler , Guido Kanschat

Regional dropout strategies have been proposed to enhance the performance of convolutional neural network classifiers. They have proved to be effective for guiding the model to attend on less discriminative parts of objects (e.g. leg as…

计算机视觉与模式识别 · 计算机科学 2019-08-11 Sangdoo Yun , Dongyoon Han , Seong Joon Oh , Sanghyuk Chun , Junsuk Choe , Youngjoon Yoo

In the last few years, much effort has been devoted to developing join algorithms in order to achieve worst-case optimality for join queries over relational databases. Towards this end, the database community has had considerable success in…

数据库 · 计算机科学 2020-03-02 Shaleen Deep , Xiao Hu , Paraschos Koutris

High-throughput neural network inference requires coordinating many optimization decisions, including parallel tiling, microkernel selection, and data layout. The product of these decisions forms a search space of programs which is…

编程语言 · 计算机科学 2025-05-06 Samuel J. Kaufman , René Just , Rastislav Bodik

Cryptographic primitives have been used for various non-cryptographic objectives, such as eliminating or reducing randomness and interaction. We show how to use cryptography to improve the time complexity of solving computational problems.…

密码学与安全 · 计算机科学 2025-04-23 Vinod Vaikuntanathan , Or Zamir

The increasing size of transformer-based models in NLP makes the question of compressing them important. In this work, we present a comprehensive analysis of factorization based model compression techniques. Specifically, we focus on…

计算与语言 · 计算机科学 2024-06-18 Ashim Gupta , Sina Mahdipour Saravani , P. Sadayappan , Vivek Srikumar

Recent work in the matrix completion literature has shown that prior knowledge of a matrix's row and column spaces can be successfully incorporated into reconstruction programs to substantially benefit matrix recovery. This paper proposes a…

信息论 · 计算机科学 2025-09-10 Oscar López