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Developing suitable approximate models for analyzing and simulating complex nonlinear systems is practically important. This paper aims at exploring the skill of a rich class of nonlinear stochastic models, known as the conditional Gaussian…

Numerical Analysis · Mathematics 2022-06-01 Nan Chen , Yingda Li , Honghu Liu

Hierarchical models are a powerful tool for high-throughput data with a small to moderate number of replicates, as they allow sharing information across units of information, for example, genes. We propose two such models and show its…

Applications · Statistics 2009-10-09 David Rossell

The compact genetic algorithm (cGA) is one of the simplest estimation-of-distribution algorithms (EDAs). Next to the univariate marginal distribution algorithm (UMDA) -- another simple EDA -- , the cGA has been subject to extensive…

Neural and Evolutionary Computing · Computer Science 2026-03-04 Marcel Chwiałkowski , Benjamin Doerr , Martin S. Krejca

We study distributed optimization algorithms for minimizing the average of convex functions. The applications include empirical risk minimization problems in statistical machine learning where the datasets are large and have to be stored on…

Optimization and Control · Mathematics 2016-01-07 Jason D. Lee , Qihang Lin , Tengyu Ma , Tianbao Yang

This paper analyses LightGCN in the context of graph recommendation algorithms. Despite the initial design of Graph Convolutional Networks for graph classification, the non-linear operations are not always essential. LightGCN enables linear…

Information Retrieval · Computer Science 2023-12-29 Milena Kapralova , Luca Pantea , Andrei Blahovici

Several algorithms for solving constraint satisfaction problems are based on survey propagation, a variational inference scheme used to obtain approximate marginal probability estimates for variable assignments. These marginals correspond…

Artificial Intelligence · Computer Science 2020-01-29 Aditya Grover , Tudor Achim , Stefano Ermon

This paper proves strong lower bounds for distributed computing in the CONGEST model, by presenting the bit-gadget: a new technique for constructing graphs with small cuts. The contribution of bit-gadgets is twofold. First, developing…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-15 Amir Abboud , Keren Censor-Hillel , Seri Khoury , Ami Paz

The popularity of deep learning techniques renewed the interest in neural architectures able to process complex structures that can be represented using graphs, inspired by Graph Neural Networks (GNNs). We focus our attention on the…

Machine Learning · Computer Science 2021-09-02 Matteo Tiezzi , Giuseppe Marra , Stefano Melacci , Marco Maggini

We consider convex-concave saddle-point problems where the objective functions may be split in many components, and extend recent stochastic variance reduction methods (such as SVRG or SAGA) to provide the first large-scale linearly…

Machine Learning · Computer Science 2016-11-04 P Balamurugan , Francis Bach

The iterations of many first-order algorithms, when applied to minimizing common regularized regression functions, often resemble neural network layers with pre-specified weights. This observation has prompted the development of…

Machine Learning · Computer Science 2017-08-03 Hao He , Bo Xin , David Wipf

Graph neural networks are emerging as continuation of deep learning success w.r.t. graph data. Tens of different graph neural network variants have been proposed, most following a neighborhood aggregation scheme, where the node features are…

Machine Learning · Computer Science 2021-02-09 Dawei Leng , Jinjiang Guo , Lurong Pan , Jie Li , Xinyu Wang

Traditional backpropagation of error, though a highly successful algorithm for learning in artificial neural network models, includes features which are biologically implausible for learning in real neural circuits. An alternative called…

Machine Learning · Computer Science 2020-11-06 Nasir Ahmad , Marcel A. J. van Gerven , Luca Ambrogioni

Modern supervised learning techniques, particularly those using deep nets, involve fitting high dimensional labelled data sets with functions containing very large numbers of parameters. Much of this work is empirical. Interesting phenomena…

Machine Learning · Statistics 2018-05-30 Partha P Mitra

This paper explores algorithms for processing probabilistic and deterministic information when the former is represented as a belief network and the latter as a set of boolean clauses. The motivating tasks are 1. evaluating beliefs networks…

Artificial Intelligence · Computer Science 2013-01-14 Rina Dechter , David Ephraim Larkin

ConArg is a Constraint Programming-based tool that can be used to model and solve different problems related to Abstract Argumentation Frameworks (AFs). To implement this tool we have used JaCoP, a Java library that provides the user with a…

Artificial Intelligence · Computer Science 2013-01-17 Stefano Bistarelli , Francesco Santini

In sparse target inference problems it has been shown that significant gains can be achieved by adaptive sensing using convex criteria. We generalize previous work on adaptive sensing to (a) include multiple classes of targets with…

Information Theory · Computer Science 2014-09-30 Gregory E. Newstadt , Beipeng Mu , Dennis Wei , Jonathan P. How , Alfred O. Hero

Message passing algorithms have proved surprisingly successful in solving hard constraint satisfaction problems on sparse random graphs. In such applications, variables are fixed sequentially to satisfy the constraints. Message passing is…

Artificial Intelligence · Computer Science 2019-06-05 Andrea Montanari , Federico Ricci-Tersenghi , Guilhem Semerjian

Constraint Programming (CP) has been successfully applied to both constraint satisfaction and constraint optimization problems. A wide variety of specialized global constraints provide critical assistance in achieving a good model that can…

Artificial Intelligence · Computer Science 2007-05-23 Peter Tiedemann , Henrik Reif Andersen , Rasmus Pagh

In this paper, we describe Compact-Table (CT), a bitwise algorithm to enforce Generalized Arc Consistency (GAC) on table con- straints. Although this algorithm is the default propagator for table constraints in or-tools and OscaR, two…

The $q$-parameterized magnetic Laplacian serves as the foundation of directed graph (digraph) convolution, enabling this kind of digraph neural network (MagDG) to encode node features and structural insights by complex-domain message…

Machine Learning · Computer Science 2025-01-22 Xunkai Li , Daohan Su , Zhengyu Wu , Guang Zeng , Hongchao Qin , Rong-Hua Li , Guoren Wang
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