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Dependence strucuture estimation is one of the important problems in machine learning domain and has many applications in different scientific areas. In this paper, a theoretical framework for such estimation based on copula and copula…

机器学习 · 计算机科学 2019-09-11 Jian Ma , Zengqi Sun

This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

统计理论 · 数学 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

Mutual Information (MI) is often used for feature selection when developing classifier models. Estimating the MI for a subset of features is often intractable. We demonstrate, that under the assumptions of conditional independence, MI…

机器学习 · 计算机科学 2017-06-26 Hemanth Venkateswara , Prasanth Lade , Binbin Lin , Jieping Ye , Sethuraman Panchanathan

A factor copula model is proposed in which factors are either simulable or estimable from exogenous information. Point estimation and inference are based on a simulated methods of moments (SMM) approach with non-overlapping simulation…

计量经济学 · 经济学 2022-12-02 Alexander Mayer , Dominik Wied

Copula-based modeling has seen rapid advances in recent years. However, in big data applications, the lengthy computation time for estimating copula parameters is a major difficulty. Here, we develop a novel method to speed computation time…

统计方法学 · 统计学 2016-09-20 Zheng Wei , Daeyoung Kim , Erin Marie Conlon

Side information is being used extensively to improve the effectiveness of sequential recommendation models. It is said to help capture the transition patterns among items. Most previous work on sequential recommendation that uses side…

信息检索 · 计算机科学 2023-02-22 Yujie Lin , Zhumin Chen , Zhaochun Ren , Chenyang Wang , Qiang Yan , Maarten de Rijke , Xiuzhen Cheng , Pengjie Ren

Semantic segmentation is a fundamental problem in computer vision. It is considered as a pixel-wise classification problem in practice, and most segmentation models use a pixel-wise loss as their optimization riterion. However, the…

计算机视觉与模式识别 · 计算机科学 2019-10-29 Shuai Zhao , Yang Wang , Zheng Yang , Deng Cai

Mixture models are useful in a wide array of applications to identify subpopulations in noisy overlapping distributions. For example, in multiplexed immunofluorescence (mIF), cell image intensities represent expression levels and the cell…

Dynamic feature selection, where we sequentially query features to make accurate predictions with a minimal budget, is a promising paradigm to reduce feature acquisition costs and provide transparency into a model's predictions. The problem…

机器学习 · 计算机科学 2024-09-10 Soham Gadgil , Ian Covert , Su-In Lee

Online Class-Incremental continual Learning (OCIL) addresses the challenge of continuously learning from a single-channel data stream, adapting to new tasks while mitigating catastrophic forgetting. Recently, Mutual Information (MI)-based…

机器学习 · 计算机科学 2024-07-29 Huan Zhang , Fan Lyu , Shenghua Fan , Yujin Zheng , Dingwen Wang

The amount of information exchanged per unit of time between two nodes in a dynamical network or between two data sets is a powerful concept for analysing complex systems. This quantity, known as the mutual information rate (MIR), is…

混沌动力学 · 物理学 2015-05-27 M. S. Baptista , R. M. Rubinger , E. R. V. Junior , J. C. Sartorelli , U. Parlitz , C. Grebogi

Multivariate Time Series Imputation (MTSI) is crucial for many applications, such as healthcare monitoring and traffic management, where incomplete data can compromise decision-making. Existing state-of-the-art methods, like Denoising…

Probability density estimation from observed data constitutes a central task in statistics. In this brief, we focus on the problem of estimating the copula density associated to any observed data, as it fully describes the dependence…

机器学习 · 计算机科学 2025-07-09 Nunzio A. Letizia , Nicola Novello , Andrea M. Tonello

Estimating mutual information is an important statistics and machine learning problem. To estimate the mutual information from data, a common practice is preparing a set of paired samples $\{(\mathbf{x}_i,\mathbf{y}_i)\}_{i=1}^n…

机器学习 · 统计学 2024-07-16 Yanbin Liu , Makoto Yamada , Yao-Hung Hubert Tsai , Tam Le , Ruslan Salakhutdinov , Yi Yang

Mutual Information is the metric that is used to perform link adaptation, which allows to achieve rates near capacity. The computation of adaptive transmission modes is achieved by employing the mapping between the Signal to Noise Ratio and…

信号处理 · 电气工程与系统科学 2018-07-26 Pol Henarejos , Ana Pérez-Neira , Anxo Tato , Carlos Mosquera

Multimodal representation learning poses significant challenges in capturing informative and distinct features from multiple modalities. Existing methods often struggle to exploit the unique characteristics of each modality due to unified…

计算机视觉与模式识别 · 计算机科学 2023-11-08 Cam-Van Thi Nguyen , Ngoc-Hoa Thi Nguyen , Duc-Trong Le , Quang-Thuy Ha

We design a new co-occurrence based word association measure by incorporating the concept of significant cooccurrence in the popular word association measure Pointwise Mutual Information (PMI). By extensive experiments with a large number…

计算与语言 · 计算机科学 2013-07-03 Om P. Damani

In this survey, we present and compare different approaches to estimate Mutual Information (MI) from data to analyse general dependencies between variables of interest in a system. We demonstrate the performance difference of MI versus…

机器学习 · 统计学 2015-06-18 D. Gencaga , N. K. Malakar , D. J. Lary

A new nonparametric model of maximum-entropy (MaxEnt) copula density function is proposed, which offers the following advantages: (i) it is valid for mixed random vector. By `mixed' we mean the method works for any combination of discrete…

统计理论 · 数学 2022-08-23 Subhadeep , Mukhopadhyay

To provide an efficient approach to characterize the input-output mutual information (MI) under additive white Gaussian noise (AWGN) channel, this short report fits the curves of exact MI under multilevel quadrature amplitude modulation…

信息论 · 计算机科学 2019-08-27 Chongjun Ouyang , Sheng Wu , Hongwen Yang