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The strict complementary slackness condition (SCSC) is an important concept in the duality theory of linear programming (LP). The current study aims at extending this concept to the framework of linear fractional programming (LFP). First,…

Optimization and Control · Mathematics 2016-03-03 Mahmood Mehdiloozad , Kaoru Tone , Mohammad Bagher Ahmadi

Regularization has long been utilized to learn sparsity in deep neural network pruning. However, its role is mainly explored in the small penalty strength regime. In this work, we extend its application to a new scenario where the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Huan Wang , Can Qin , Yulun Zhang , Yun Fu

As datasets continue to grow, neural network (NN) applications are becoming increasingly limited by both the amount of available computational power and the ease of developing high-performance applications. Researchers often must have…

Neural and Evolutionary Computing · Computer Science 2012-07-03 Lawrence McAfee , Kunle Olukotun

Conformer has shown a great success in automatic speech recognition (ASR) on many public benchmarks. One of its crucial drawbacks is the quadratic time-space complexity with respect to the input sequence length, which prohibits the model to…

Sound · Computer Science 2022-03-30 Jingyu Sun , Guiping Zhong , Dinghao Zhou , Baoxiang Li , Yiran Zhong

Using (a,b)-trees as an example, we show how to perform a parallel split with logarithmic latency and parallel join, bulk updates, intersection, union (or merge), and (symmetric) set difference with logarithmic latency and with information…

Data Structures and Algorithms · Computer Science 2016-05-12 Yaroslav Akhremtsev , Peter Sanders

With the advancement of large language models (LLMs), their context windows have rapidly expanded. To meet diverse demands from varying-length requests in online services, existing state-of-the-art systems tune the sequence parallelism (SP)…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Cong Li , Yuzhe Yang , Xuegui Zheng , Qifan Yang , Yijin Guan , Size Zheng , Li-Wen Chang , Shufan Liu , Xin Liu , Guangyu Sun

This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including $\NC$ and $\RNC$ algorithms for (metric) facility location, $k$-center, $k$-median, and $k$-means. These problems…

Data Structures and Algorithms · Computer Science 2010-06-11 Guy E. Blelloch , Kanat Tangwongsan

One of the key research interests in the area of Constraint Satisfaction Problem (CSP) is to identify tractable classes of constraints and develop efficient solutions for them. In this paper, we introduce generalized staircase (GS)…

Artificial Intelligence · Computer Science 2013-04-19 Shubhadip Mitra , Partha Dutta , Arnab Bhattacharya

We explore the use of the Cell Broadband Engine (Cell/BE for short) for combinatorial optimization applications: we present a parallel version of a constraint-based local search algorithm that has been implemented on a multiprocessor…

Artificial Intelligence · Computer Science 2009-10-08 Salvator Abreu , Daniel Diaz , Philippe Codognet

Constraint Programming (CP) and Local Search (LS) are different paradigms for dealing with combinatorial search and optimization problems. Their complementary features motivated researchers to create hybrid CP/LS solutions, maintaining both…

Neural and Evolutionary Computing · Computer Science 2019-09-19 Mateusz Ślażyński

In this work, we study the task of scheduling jobs on a single machine with sequence dependent family setup times under the goal of minimizing the makespan, that is, the completion time of the last job in the schedule. This notoriously…

Data Structures and Algorithms · Computer Science 2025-03-25 Kaja Balzereit , Niels Grüttemeier , Nils Morawietz , Dennis Reinhardt , Stefan Windmann , Petra Wolf

Federated Learning is a powerful machine learning paradigm to cooperatively train a global model with highly distributed data. A major bottleneck on the performance of distributed Stochastic Gradient Descent (SGD) algorithm for large-scale…

Machine Learning · Computer Science 2020-01-24 Haozhao Wang , Zhihao Qu , Song Guo , Xin Gao , Ruixuan Li , Baoliu Ye

Machine learning models have achieved remarkable success in various real-world applications such as data science, computer vision, and natural language processing. However, model training in machine learning requires large-scale data sets…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-02 Xidong Wu , Preston Brazzle , Stephen Cahoon

Parallel SAT solvers are becoming mainstream. Their performance has made them win the past two SAT competitions consecutively and are in the limelight of research and industry. The problem is that it is not known exactly what is needed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-13 Roberto Asín , Juan Olate , Leo Ferres

Deep learning models trained on large data sets have been widely successful in both vision and language domains. As state-of-the-art deep learning architectures have continued to grow in parameter count so have the compute budgets and times…

The notion of arc consistency plays a central role in constraint satisfaction. It is known that the notion of local consistency can be extended to constraint optimisation problems defined by soft constraint frameworks based on an idempotent…

Artificial Intelligence · Computer Science 2007-05-23 Martin Cooper , Thomas Schiex

Deep learning harnesses massive parallel floating-point processing to train and evaluate large neural networks. Trends indicate that deeper and larger neural networks with an increasing number of parameters achieve higher accuracy than…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Brad Larson , Bishal Upadhyaya , Luke McDermott , Siddha Ganju

Combinatorial optimization problems implicitly define fitness landscapes that combine the numeric structure of the 'fitness' function to be maximized with the combinatorial structure of which assignments are 'adjacent'. Local search starts…

Data Structures and Algorithms · Computer Science 2026-01-13 Artem Kaznatcheev , Sofia Vazquez Alferez

Markov Chain Monte Carlo (MCMC) is a well-established family of algorithms primarily used in Bayesian statistics to sample from a target distribution when direct sampling is challenging. Existing work on Bayesian decision trees uses MCMC.…

Computation · Statistics 2023-01-24 Efthyvoulos Drousiotis , Paul G. Spirakis , Simon Maskell

We propose an innovative Parallel Quantum Local Search (PQLS) methodology that leverages the capabilities of small-scale quantum computers to efficiently address complex combinatorial optimization problems. Traditional Quantum Local Search…

Quantum Physics · Physics 2024-06-11 Chen-Yu Liu , Kuan-Cheng Chen