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As distributed optimization scales to meet the demands of Large Language Model (LLM) training, hardware failures become increasingly non-negligible. Existing fault-tolerant training methods often introduce significant computational or…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-21 Rizhen Hu , Yutong He , Ran Yan , Mou Sun , Binghang Yuan , Kun Yuan

In this work, we study the computational (parameterized) complexity of $P \mid r_j, p_j=p \mid \sum_j w_j U_j$. Here, we are given $m$ identical parallel machines and $n$ jobs with equal processing time, each characterized by a release…

Data Structures and Algorithms · Computer Science 2024-04-23 Klaus Heeger , Hendrik Molter

Perfect cloning of a known set of states with arbitrary prior probabilities is possible if we allow the cloner to sometimes fail completely. In the optimal case the probability of failure is at its minimum allowed by the laws of quantum…

Quantum Physics · Physics 2016-09-08 E. Bagan , V. Yerokhin , A. Shehu , E. Feldman , J. A. Bergou

Task parallelism research has traditionally focused on optimizing computation-intensive applications. Due to the proliferation of commodity parallel processors, there has been recent interest in supporting interactive applications. Such…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-20 Kyle Singer , Kunal Agrawal , I-Ting Angelina Lee

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

Asynchronous event sequence clustering aims to group similar event sequences in an unsupervised manner. Mixture models of temporal point processes have been proposed to solve this problem, but they often suffer from overfitting, leading to…

Machine Learning · Computer Science 2024-11-08 Yiwei Dong , Shaoxin Ye , Yuwen Cao , Qiyu Han , Hongteng Xu , Hanfang Yang

In secure multiparty computation, mutually distrusting users in a network want to collaborate to compute functions of data which is distributed among the users. The users should not learn any additional information about the data of others…

Information Theory · Computer Science 2016-11-15 Deepesh Data , Bikash Kumar Dey , Manoj Mishra , Vinod M. Prabhakaran

We consider a variant of the NP-hard problem of assigning jobs to machines to minimize the completion time of the last job. Usually, precedence constraints are given by a partial order on the set of jobs, and each job requires all its…

Discrete Mathematics · Computer Science 2020-03-09 Felix Happach

The set consensus problem has played an important role in the study of distributed systems for over two decades. Indeed, the search for lower bounds and impossibility results for this problem spawned the topological approach to distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-25 Armando Castañeda , Yannai A. Gonczarowski , Yoram Moses

One of the biggest problems in current distributed systems is that presented by one machine attempting to determine the liveness of another in a timely manner. Unfortunately, the symptoms exhibited by a failed machine can also be the result…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Mark C. Little

Clustering of event stream data is of great importance in many application scenarios, including but not limited to, e-commerce, electronic health, online testing, mobile music service, etc. Existing clustering algorithms fail to take…

Methodology · Statistics 2024-05-29 Yuecheng Zhang , Guanhua Fang , Wen Yu

While the very first consensus protocols for the synchronous model were designed to match the worst-case lower bound, deciding in exactly t+1 rounds in all runs, it was soon realized that they could be strictly improved upon by early…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Armando Castañeda , Yannai A. Gonczarowski , Yoram Moses

The Lov\'{a}sz Local Lemma (LLL) is a keystone principle in probability theory, guaranteeing the existence of configurations which avoid a collection $\mathcal B$ of "bad" events which are mostly independent and have low probability. In its…

Data Structures and Algorithms · Computer Science 2023-10-13 David G. Harris

We develop and analyze concurrent algorithms for the disjoint set union (union-find) problem in the shared memory, asynchronous multiprocessor model of computation, with CAS (compare and swap) or DCAS (double compare and swap) as the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Siddhartha V. Jayanti , Robert E. Tarjan

There is a long history of approximation schemes for the problem of scheduling jobs on identical machines to minimize the makespan. Such a scheme grants a $(1+\epsilon)$-approximation solution for every $\epsilon > 0$, but the running time…

Data Structures and Algorithms · Computer Science 2021-07-30 Sebastian Berndt , Max A. Deppert , Klaus Jansen , Lars Rohwedder

We contribute the first randomized algorithm that is an integration of arbitrarily many deterministic algorithms for the fully online multiprocessor scheduling with testing problem. When there are two machines, we show that with two…

Data Structures and Algorithms · Computer Science 2023-06-29 Mingyang Gong , Zhi-Zhong Chen , Guohui Lin , Lusheng Wang

To harness modern multicore processors, it is imperative to develop parallel versions of fundamental algorithms. In this paper, we compare different approaches to parallel best-first search in a shared-memory setting. We present a new…

Artificial Intelligence · Computer Science 2014-01-17 Ethan Burns , Sofia Lemons , Wheeler Ruml , Rong Zhou

This paper presents PREVENT, an approach for predicting and localizing failures in distributed enterprise applications by combining unsupervised techniques. Software failures can have dramatic consequences in production, and thus predicting…

Software Engineering · Computer Science 2024-09-18 Giovanni Denaro , Rahim Heydarov , Ali Mohebbi , Mauro Pezzè

We study universal consistency of non-i.i.d. processes in the context of online learning. A stochastic process is said to admit universal consistency if there exists a learner that achieves vanishing average loss for any measurable response…

Machine Learning · Computer Science 2022-07-19 Moïse Blanchard , Romain Cosson

This paper presents a novel idea for the general case of the Common Due-Date (CDD) scheduling problem. The problem is about scheduling a certain number of jobs on a single or parallel machines where all the jobs possess different processing…

Data Structures and Algorithms · Computer Science 2014-05-07 Abhishek Awasthi , Jörg Lässig , Oliver Kramer