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We develop a new sampling method to estimate eigenvector centrality on incomplete networks. Our goal is to estimate this global centrality measure having at disposal a limited amount of data. This is the case in many real-world scenarios…

Social and Information Networks · Computer Science 2020-10-29 Nicolò Ruggeri , Caterina De Bacco

Node importance estimation problem has been studied conventionally with homogeneous network topology analysis. To deal with network heterogeneity, a few recent methods employ graph neural models to automatically learn diverse sources of…

Social and Information Networks · Computer Science 2024-02-21 Yankai Chen , Yixiang Fang , Qiongyan Wang , Xin Cao , Irwin King

Recently, learned image compression has attracted considerable attention due to its superior performance over traditional methods. However, most existing approaches employ a single entropy model to estimate the probability distribution of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Chunhang Zheng , Zichang Ren , Dou Li

Stack autoencoder (SAE), as a representative deep network, has unique and excellent performance in feature learning, and has received extensive attention from researchers. However, existing deep SAEs focus on original samples without…

Machine Learning · Computer Science 2022-10-28 Chuanyan Zhou , Jie Ma , Fan Li , Yongming Li , Pin Wang , Xiaoheng Zhang

To quantify the complexity of a system, entropy-based methods have received considerable critical attentions in real-world data analysis. Among numerous entropy algorithms, amplitude-based formulas, represented by Sample Entropy, suffer…

Signal Processing · Electrical Eng. & Systems 2022-01-12 Hongjian Xiao , Danilo P. Mandic

Semi-supervised learning aims to learn prediction models from both labeled and unlabeled samples. There has been extensive research in this area. Among existing work, generative mixture models with Expectation-Maximization (EM) is a popular…

Machine Learning · Computer Science 2020-08-31 Wenchong He , Zhe Jiang

Reconstructing weighted networks from partial information is necessary in many important circumstances, e.g. for a correct estimation of systemic risk. It has been shown that, in order to achieve an accurate reconstruction, it is crucial to…

Physics and Society · Physics 2017-03-07 Tiziano Squartini , Giulio Cimini , Andrea Gabrielli , Diego Garlaschelli

Edge sampling is an important topic in network analysis. It provides a natural way to reduce network size while retaining desired features of the original network. Sampling methods that only use local information are common in practice as…

Statistics Theory · Mathematics 2020-08-12 Can M. Le

In this paper entropy based methods are compared and used to measure structural diversity of an ensemble of 21 classifiers. This measure is mostly applied in ecology, whereby species counts are used as a measure of diversity. The measures…

Machine Learning · Computer Science 2008-10-21 L. Masisi , V. Nelwamondo , T. Marwala

We present a subset selection algorithm designed to work with arbitrary model families in a practical batch setting. In such a setting, an algorithm can sample examples one at a time but, in order to limit overhead costs, is only able to…

Machine Learning · Computer Science 2023-01-31 Gui Citovsky , Giulia DeSalvo , Sanjiv Kumar , Srikumar Ramalingam , Afshin Rostamizadeh , Yunjuan Wang

In estimating the complexity of objects, in particular of graphs, it is common practice to rely on graph- and information-theoretic measures. Here, using integer sequences with properties such as Borel normality, we explain how these…

Information Theory · Computer Science 2017-07-12 Hector Zenil , Narsis Kiani , Jesper Tegnér

Automatic text summarization aims to cut down readers time and cognitive effort by reducing the content of a text document without compromising on its essence. Ergo, informativeness is the prime attribute of document summary generated by an…

Information Retrieval · Computer Science 2021-10-01 Alka Khurana , Vasudha Bhatnagar

In the present paper, we propose the model of {\it structural information learning machines} (SiLeM for short), leading to a mathematical definition of learning by merging the theories of computation and information. Our model shows that…

Machine Learning · Computer Science 2020-01-28 Angsheng Li

The effective sample size (ESS) measures the informational value of a probability distribution in terms of an equivalent number of study participants. The ESS plays a crucial role in estimating the Expected Value of Sample Information…

Methodology · Statistics 2024-01-31 Linke Li , Hawre Jalal , Anna Heath

This paper demonstrates how new principles of compressed sensing, namely asymptotic incoherence, asymptotic sparsity and multilevel sampling, can be utilised to better understand underlying phenomena in practical compressed sensing and…

Functional Analysis · Mathematics 2014-07-08 Bogdan Roman , Anders Hansen , Ben Adcock

The cross entropy (CE) method is a model based search method to solve optimization problems where the objective function has minimal structure. The Monte-Carlo version of the CE method employs the naive sample averaging technique which is…

Artificial Intelligence · Computer Science 2018-02-01 Ajin George Joseph , Shalabh Bhatnagar

Feature selection aims to identify the most pattern-discriminative feature subset. In prior literature, filter (e.g., backward elimination) and embedded (e.g., Lasso) methods have hyperparameters (e.g., top-K, score thresholding) and tie to…

Machine Learning · Computer Science 2024-03-07 Wangyang Ying , Dongjie Wang , Haifeng Chen , Yanjie Fu

We define a notion of information that an individual sample provides to the training of a neural network, and we specialize it to measure both how much a sample informs the final weights and how much it informs the function computed by the…

Feature selection is a crucial step in developing robust and powerful machine learning models. Feature selection techniques can be divided into two categories: filter and wrapper methods. While wrapper methods commonly result in strong…

Machine Learning · Computer Science 2022-07-07 Jarne Verhaeghe , Jeroen Van Der Donckt , Femke Ongenae , Sofie Van Hoecke

An important problem in the analysis of high-dimensional omics data is to identify subsets of molecular variables that are associated with a phenotype of interest. This requires addressing the challenges of high dimensionality, strong…

Methodology · Statistics 2022-04-05 Fan Wang , Sylvia Richardson , Steven M. Hill
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