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Convex regression (CR) problem deals with fitting a convex function to a finite number of observations. It has many applications in various disciplines, such as statistics, economics, operations research, and electrical engineering.…

Optimization and Control · Mathematics 2014-09-24 Necdet Serhat Aybat , Zi Wang

Nowadays, large and complex deep learning (DL) models are increasingly trained in a distributed manner across multiple worker machines, in which extensive communications between workers pose serious scaling problems. In this article, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-10 Shaohuai Shi , Zhenheng Tang , Xiaowen Chu , Chengjian Liu , Wei Wang , Bo Li

In this paper, we study the communication complexity for the problem of computing a conjunctive query on a large database in a parallel setting with $p$ servers. In contrast to previous work, where upper and lower bounds on the…

Databases · Computer Science 2016-04-08 Paul Beame , Paraschos Koutris , Dan Suciu

Parallelization techniques have become ubiquitous for accelerating inference and training of deep neural networks. Despite this, several operations are still performed in a sequential manner. For instance, the forward and backward passes…

Machine Learning · Computer Science 2023-10-30 Federico Danieli , Miguel Sarabia , Xavier Suau , Pau Rodríguez , Luca Zappella

TAPS is a Topology-Aware intra-operator Parallelism strategy Searching algorithm that generates intra-operator parallelism strategies by considering both intra-node and inter-node bandwidth. Most of the existing auto-parallelism works use…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-12 Peng Liang , Hao Zheng , Teng Su , Linbo Qiao , Dongsheng Li

In the realm of Large Language Model (LLM) inference, the inherent structure of transformer models coupled with the multi-GPU tensor parallelism strategy leads to a sequential execution of computation and communication. This results in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Bin Xiao , Lei Su

As artificial intelligence systems spread to more diverse and larger tasks in many domains, the machine learning algorithms, and in particular the deep learning models and the databases required to train them are getting bigger themselves.…

Machine Learning · Computer Science 2019-04-22 Philippe Lacaille

Many deep learning applications benefit from using large models with billions of parameters. Training these models is notoriously expensive due to the need for specialized HPC clusters. In this work, we consider alternative setups for…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-30 Max Ryabinin , Tim Dettmers , Michael Diskin , Alexander Borzunov

Distributed LLM inference requires careful coordination of parallelization strategies across hundreds to thousands of NPUs to meet production SLOs. Current systems like Megatron-LM rely on static heuristics that separately configure…

Machine Learning · Computer Science 2025-09-03 Ruokai Yin , Sattwik Deb Mishra , Xuan Zuo , Hokchhay Tann , Preyas Shah , Apala Guha

Recently, considerable interest has focused on variable selection methods in regression situations where the number of predictors, $p$, is large relative to the number of observations, $n$. Two commonly applied variable selection approaches…

Applications · Statistics 2011-04-19 Peter Radchenko , Gareth M. James

Efficient parallelization of Large Language Models (LLMs) with long sequences is essential but challenging due to their significant computational and memory demands, particularly stemming from communication bottlenecks in attention…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-31 Zongwu Wang , Fangxin Liu , Mingshuai Li , Li Jiang

When training large machine learning models with many variables or parameters, a single machine is often inadequate since the model may be too large to fit in memory, while training can take a long time even with stochastic updates. A…

Machine Learning · Statistics 2014-06-19 Seunghak Lee , Jin Kyu Kim , Xun Zheng , Qirong Ho , Garth A. Gibson , Eric P. Xing

We introduce an extension to the CLRS algorithmic learning benchmark, prioritizing scalability and the utilization of sparse representations. Many algorithms in CLRS require global memory or information exchange, mirrored in its execution…

Machine Learning · Computer Science 2023-11-21 Julian Minder , Florian Grötschla , Joël Mathys , Roger Wattenhofer

Large Language Models (LLMs) are powerful but often too slow and costly for real-world use during inference. Looped transformers save on parameters by reusing the same weights for multiple computational steps, or "loops." However, this…

Computation and Language · Computer Science 2025-10-30 Bohong Wu , Mengzhao Chen , Xiang Luo , Shen Yan , Qifan Yu , Fan Xia , Tianqi Zhang , Hongrui Zhan , Zheng Zhong , Xun Zhou , Siyuan Qiao , Xingyan Bin

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

Scientific programmers often turn to vendor-tuned Basic Linear Algebra Subprograms (BLAS) to obtain portable high performance. However, many numerical algorithms require several BLAS calls in sequence, and those successive calls result in…

Mathematical Software · Computer Science 2012-05-09 Geoffrey Belter , Elizabeth Jessup , Thomas Nelson , Boyana Norris , Jeremy G. Siek

This paper proposes a fast and accurate method for sparse regression in the presence of missing data. The underlying statistical model encapsulates the low-dimensional structure of the incomplete data matrix and the sparsity of the…

Machine Learning · Statistics 2015-03-31 Ravi Ganti , Rebecca M. Willett

This paper presents our solution for optimization task of the 3rd ACM-China IPCC. By the complexity analysis, we identified three time-consuming subroutines of original algorithm: marking edges, computing pseudo inverse and sorting edges.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-15 Yuxuan Chen , Jiyan Qiu , Zidong Han , Chenhan Bai

Powered by advances in deep learning (DL) techniques, machine learning and artificial intelligence have achieved astonishing successes. However, the rapidly growing needs for DL also led to communication- and resource-intensive distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-16 Menglu Yu , Bo Ji , Hridesh Rajan , Jia Liu

We present parallel and sequential dense QR factorization algorithms for tall and skinny matrices and general rectangular matrices that both minimize communication, and are as stable as Householder QR. The sequential and parallel algorithms…

Numerical Analysis · Mathematics 2008-09-16 James Demmel , Laura Grigori , Mark Hoemmen , Julien Langou
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