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This monograph presents a class of algorithms called coordinate descent algorithms for mathematicians, statisticians, and engineers outside the field of optimization. This particular class of algorithms has recently gained popularity due to…

Optimization and Control · Mathematics 2017-01-16 Hao-Jun Michael Shi , Shenyinying Tu , Yangyang Xu , Wotao Yin

Compared with constraint satisfaction problems, counting problems have received less attention. In this paper, we survey research works on the problems of counting the number of solutions to constraints. The constraints may take various…

Artificial Intelligence · Computer Science 2020-12-29 Jian Zhang , Cunjing Ge , Feifei Ma

There is general consensus that learning representations is useful for a variety of reasons, e.g. efficient use of labeled data (semi-supervised learning), transfer learning and understanding hidden structure of data. Popular techniques for…

Machine Learning · Computer Science 2017-06-15 Sanjeev Arora , Andrej Risteski

Climate change is one of the greatest challenges facing humanity, and we, as machine learning experts, may wonder how we can help. Here we describe how machine learning can be a powerful tool in reducing greenhouse gas emissions and helping…

This entry introduces the topic of machine learning and provides an overview of its relevance for applied linguistics and language learning. The discussion will focus on giving an introduction to the methods and applications of machine…

Computation and Language · Computer Science 2018-04-11 Sowmya Vajjala

We study the data deletion problem for convex models. By leveraging techniques from convex optimization and reservoir sampling, we give the first data deletion algorithms that are able to handle an arbitrarily long sequence of adversarial…

Machine Learning · Statistics 2020-07-07 Seth Neel , Aaron Roth , Saeed Sharifi-Malvajerdi

Machine learning on sets towards sequential output is an important and ubiquitous task, with applications ranging from language modeling and meta-learning to multi-agent strategy games and power grid optimization. Combining elements of…

Machine Learning · Computer Science 2021-09-10 Mateusz Jurewicz , Leon Strømberg-Derczynski

Many machine learning models involve solving optimization problems. Thus, it is important to deal with a large-scale optimization problem in big data applications. Recently, subsampled Newton methods have emerged to attract much attention…

Numerical Analysis · Computer Science 2020-03-24 Haishan Ye , Luo Luo , Zhihua Zhang

Deep learning relies on a very specific kind of neural networks: those superposing several neural layers. In the last few years, deep learning achieved major breakthroughs in many tasks such as image analysis, speech recognition, natural…

Artificial Intelligence · Computer Science 2018-02-01 Lê Nguyên Hoang , Rachid Guerraoui

Optimization problems are ubiquitous in our societies and are present in almost every segment of the economy. Most of these optimization problems are NP-hard and computationally demanding, often requiring approximate solutions for…

Optimization and Control · Mathematics 2021-06-23 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

Recently there has been a dramatic increase in the performance of recognition systems due to the introduction of deep architectures for representation learning and classification. However, the mathematical reasons for this success remain…

Machine Learning · Computer Science 2017-12-14 Rene Vidal , Joan Bruna , Raja Giryes , Stefano Soatto

Process control and optimization have been widely used to solve decision-making problems in chemical engineering applications. However, identifying and tuning the best solution algorithm is challenging and time-consuming. Machine learning…

Systems and Control · Electrical Eng. & Systems 2024-12-25 Ilias Mitrai , Prodromos Daoutidis

The problem of computing minimally sparse solutions of under-determined linear systems is $NP$ hard in general. Subsets with extra properties, may allow efficient algorithms, most notably problems with the restricted isometry property (RIP)…

Machine Learning · Computer Science 2023-02-07 G. Welper

Given the unprecedented availability of data and computing resources, there is widespread renewed interest in applying data-driven machine learning methods to problems for which the development of conventional engineering solutions is…

Information Theory · Computer Science 2018-11-06 Osvaldo Simeone

The paper gives a soundness and completeness proof for the implicative fragment of intuitionistic calculus with respect to the semantics of computability logic, which understands intuitionistic implication as interactive algorithmic…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

We consider the problem of efficiently solving large-scale linear least squares problems that have one or more linear constraints that must be satisfied exactly. Whilst some classical approaches are theoretically well founded, they can face…

Numerical Analysis · Mathematics 2021-12-24 Jennifer Scott , Miroslav Tuma

Efficient machine learning implementations optimized for inference in hardware have wide-ranging benefits, depending on the application, from lower inference latency to higher data throughput and reduced energy consumption. Two popular…

Machine Learning · Computer Science 2021-07-21 Benjamin Hawks , Javier Duarte , Nicholas J. Fraser , Alessandro Pappalardo , Nhan Tran , Yaman Umuroglu

This book aims to review and present the recent advances of distributed representation learning for NLP, including why representation learning can improve NLP, how representation learning takes part in various important topics of NLP, and…

Computation and Language · Computer Science 2021-02-09 Zhiyuan Liu , Yankai Lin , Maosong Sun

In this study, we explore the integration of Neural Networks, a powerful class of functions known for their exceptional approximation capabilities. Our primary emphasis is on the integration of multi-layer Neural Networks, a challenging…

Numerical Analysis · Mathematics 2024-03-20 Yucong Liu

We investigate three related and important problems connected to machine learning: approximating a submodular function everywhere, learning a submodular function (in a PAC-like setting [53]), and constrained minimization of submodular…

Data Structures and Algorithms · Computer Science 2013-11-12 Rishabh Iyer , Stefanie Jegelka , Jeff Bilmes