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We show that an optimal finite element mesh refinement algorithm for a prototypical elliptic PDE can be learned by a recurrent neural network with a fixed number of trainable parameters independent of the desired accuracy and the input…

Numerical Analysis · Mathematics 2020-08-10 Jan Bohn , Michael Feischl

In this paper, we deal with distributed estimation problems in diffusion networks with heterogeneous nodes, i.e., nodes that either implement different adaptive rules or differ in some other aspect such as the filter structure or length, or…

Systems and Control · Computer Science 2017-09-05 Jesus Fernandez-Bes , Jerónimo Arenas-García , Magno T. M. Silva , Luis A. Azpicueta-Ruiz

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

This paper deals with the distributed processing in the search for an optimum classification model using evolutionary product unit neural networks. For this distributed search we used a cluster of computers. Our objective is to obtain a…

Neural and Evolutionary Computing · Computer Science 2012-05-16 A. J. Tallón-Ballesteros , P. A. Gutiérrez-Peña , C. Hervás-Martínez

Binary representation is desirable for its memory efficiency, computation speed and robustness. In this paper, we propose adjustable bounded rectifiers to learn binary representations for deep neural networks. While hard constraining…

Machine Learning · Computer Science 2015-11-20 Zhirong Wu , Dahua Lin , Xiaoou Tang

We consider the problem of solving a distributed optimization problem using a distributed computing platform, where the communication in the network is limited: each node can only communicate with its neighbours and the channel has a…

Systems and Control · Computer Science 2015-04-10 Ye Pu , Melanie N. Zeilinger , Colin N. Jones

We propose new methods to speed up convergence of the Alternating Direction Method of Multipliers (ADMM), a common optimization tool in the context of large scale and distributed learning. The proposed method accelerates the speed of…

Machine Learning · Computer Science 2016-04-05 Changkyu Song , Sejong Yoon , Vladimir Pavlovic

In affine formation control problems, the construction of the framework with universal rigidity and affine localizability is a critical prerequisite, but it has not yet been well addressed, especially when additional agents join the…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Huiming Li , Hao Chen , Xiangke Wang , Zhongkui Li , Lincheng Shen

A numerical method is developed to solve linear semi-infinite programming problem (LSIP) in which the iterates produced by the algorithm are feasible for the original problem. This is achieved by constructing a sequence of standard linear…

Optimization and Control · Mathematics 2021-01-26 Shuxiong Wang

Deep neural networks have recently achieved state of the art performance thanks to new training algorithms for rapid parameter estimation and new regularization methods to reduce overfitting. However, in practice the network architecture…

Machine Learning · Computer Science 2016-03-04 Minyoung Kim , Luca Rigazio

Deep learning has led to tremendous advancements in the field of Artificial Intelligence. One caveat however is the substantial amount of compute needed to train these deep learning models. Training a benchmark dataset like ImageNet on a…

Machine Learning · Computer Science 2018-10-30 Karanbir Chahal , Manraj Singh Grover , Kuntal Dey

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

Optimization and Control · Mathematics 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

Consider the communication-constrained estimation of discrete distributions under $\ell^p$ losses, where each distributed terminal holds multiple independent samples and uses limited number of bits to describe the samples. We obtain the…

Machine Learning · Computer Science 2024-11-11 Deheng Yuan , Tao Guo , Zhongyi Huang

Maximum weight matching is one of the most fundamental combinatorial optimization problems with a wide range of applications in data mining and bioinformatics. Developing distributed weighted matching algorithms is challenging due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-06 Sepehr Assadi , MohammadHossein Bateni , Vahab Mirrokni

In the discretization of differential problems on complex geometrical domains, discretization methods based on polygonal and polyhedral elements are powerful tools. Adaptive mesh refinement for such kind of problems is very useful as well…

Numerical Analysis · Mathematics 2019-12-12 Stefano Berrone , Andrea Borio , Alessandro D'Auria

Designing an optimal deep neural network for a given task is important and challenging in many machine learning applications. To address this issue, we introduce a self-adaptive algorithm: the adaptive network enhancement (ANE) method,…

Numerical Analysis · Mathematics 2022-03-02 Zhiqiang Cai , Jingshuang Chen , Min Liu

Due to inevitable noises introduced during scanning and quantization, 3D reconstruction via RGB-D sensors suffers from errors both in geometry and texture, leading to artifacts such as camera drifting, mesh distortion, texture ghosting, and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Jingbo Zhang , Ziyu Wan , Jing Liao

We develop a general distributed implementation of an adaptive fast multipole method in three space dimensions. We rely on a balanced type of adaptive space discretisation which supports a highly transparent and fully distributed…

Numerical Analysis · Mathematics 2020-02-13 Jonathan Bull , Stefan Engblom

In this paper we propose a distributed dual gradient algorithm for minimizing linearly constrained separable convex problems and analyze its rate of convergence. In particular, we prove that under the assumption of strong convexity and…

Optimization and Control · Mathematics 2014-10-01 Ion Necoara , Valentin Nedelcu

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit