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In this report, we propose a new adaptive time filter algorithm for the unsteady Stokes/Darcy model. First we present a first order ${\theta}$-scheme with the variable time step which is one parameter family of Linear Multi-step methods and…

Numerical Analysis · Mathematics 2022-08-29 Yi Qin , Yang Wang , Yi Li , Jian Li

Self-adjusting computation is an approach for automatically producing dynamic algorithms from static ones. The approach works by tracking control and data dependencies, and propagating changes through the dependencies when making an update.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-17 Daniel Anderson , Guy E. Blelloch , Anubhav Baweja , Umut A. Acar

The NSGA-II is the most prominent multi-objective evolutionary algorithm (cited more than 50,000 times). Very recently, a mathematical runtime analysis has proven that this algorithm can have enormous difficulties when the number of…

Neural and Evolutionary Computing · Computer Science 2024-11-18 Benjamin Doerr , Dimitri Korkotashvili , Martin S. Krejca

Data parallelism has become the de facto standard for training Deep Neural Network on multiple processing units. In this work we propose DC-S3GD, a decentralized (without Parameter Server) stale-synchronous version of the Delay-Compensated…

Machine Learning · Computer Science 2019-11-07 Alessandro Rigazzi

Large-scale non-convex optimization problems are expensive to solve due to computational and memory costs. To reduce the costs, first-order (computationally efficient) and asynchronous-parallel (memory efficient) algorithms are necessary to…

Optimization and Control · Mathematics 2022-11-21 Marco Bornstein , Jin-Peng Liu , Jingling Li , Furong Huang

In the industry, Multi-objectives problems are a big defy and they are also hard to be conquered by conventional methods. For this reason, heuristic algorithms become an executable choice when facing this kind of problems.The main objective…

Optimization and Control · Mathematics 2014-10-10 Habiba Benzater , Samira Chouraqui

The alternating gradient descent (AGD) is a simple but popular algorithm which has been applied to problems in optimization, machine learning, data ming, and signal processing, etc. The algorithm updates two blocks of variables in an…

Optimization and Control · Mathematics 2018-03-01 Songtao Lu , Mingyi Hong , Zhengdao Wang

NSGA-III is one of the most widely adopted algorithms for tackling many-objective optimization problems. However, its CPU-based design severely limits scalability and computational efficiency. To address the limitations, we propose…

Neural and Evolutionary Computing · Computer Science 2025-04-09 Hao Li , Zhenyu Liang , Ran Cheng

Non-domination level update problem is to sort the non-dominated fronts after insertion or deletion of a solution. Generally the solution to this problem requires to perform the complete non-dominated sorting which is too expensive in terms…

Data Structures and Algorithms · Computer Science 2015-10-19 Sumit Mishra , Samrat Mondal , Sriparna Saha

We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

Optimization and Control · Mathematics 2011-05-02 Alekh Agarwal , John C. Duchi

One approach for reducing run time and improving efficiency of machine learning is to reduce the convergence rate of the optimization algorithm used. Shuffling is an algorithm technique that is widely used in machine learning, but it only…

Machine Learning · Computer Science 2023-06-29 Yuetong Xu , Baharan Mirzasoleiman

Hybridisation of the multi-objective optimisation algorithm NSGA-II and local search is proposed for water distribution system design. Results obtained with the proposed algorithm are presented for four medium-size water networks taken from…

Neural and Evolutionary Computing · Computer Science 2019-05-21 Mahesh Patil , M. Naveen Naidu , A. Vasan , Murari R. R. Varma

Software-defined networking (SDN) allows operators to control the behavior of a network by programatically managing the forwarding rules installed on switches. However, as is common in distributed systems, it can be difficult to ensure that…

Networking and Internet Architecture · Computer Science 2016-07-19 Pavol Cerny , Nate Foster , Nilesh Jagnik , Jedidiah McClurg

While distributed training significantly speeds up the training process of the deep neural network (DNN), the utilization of the cluster is relatively low due to the time-consuming data synchronizing between workers. To alleviate this…

Machine Learning · Computer Science 2020-12-01 Yuhao Zhou , Qing Ye , Hailun Zhang , Jiancheng Lv

Expensive optimization problems (EOPs) are prevalent in real-world applications, where the evaluation of a single solution requires a significant amount of resources. In our study of surrogate-assisted evolutionary algorithms (SAEAs) in…

Neural and Evolutionary Computing · Computer Science 2024-12-06 Hao Hao , Xiaoqun Zhang , Aimin Zhou

As datasets continue to increase in size and multi-core computer architectures are developed, asynchronous parallel optimization algorithms become more and more essential to the field of Machine Learning. Unfortunately, conducting the…

Optimization and Control · Mathematics 2019-03-26 Rémi Leblond , Fabian Pedregosa , Simon Lacoste-Julien

The performance of multiobjective evolutionary algorithms (MOEAs) varies across problems, making it hard to develop new algorithms or apply existing ones to new problems. To simplify the development and application of new multiobjective…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Yuri Lavinas , Marcelo Ladeira , Gabriela Ochoa , Claus Aranha

We develop an efficient parallel distributed algorithm for matrix completion, named NOMAD (Non-locking, stOchastic Multi-machine algorithm for Asynchronous and Decentralized matrix completion). NOMAD is a decentralized algorithm with…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-25 Hyokun Yun , Hsiang-Fu Yu , Cho-Jui Hsieh , S. V. N. Vishwanathan , Inderjit Dhillon

Motivated by robotic trajectory optimization problems we consider the Augmented Lagrangian approach to constrained optimization. We first propose an alternative augmentation of the Lagrangian to handle the inequality case (not based on…

Optimization and Control · Mathematics 2014-12-16 Marc Toussaint

We consider the problem of average consensus in a distributed system comprising a set of nodes that can exchange information among themselves. We focus on a class of algorithms for solving such a problem whereby each node maintains a state…

Multiagent Systems · Computer Science 2024-03-12 Christoforos N. Hadjicostis , Alejandro D. Dominguez-Garcia