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A mixture of joint generalized hyperbolic distributions (MJGHD) is introduced for asymmetric clustering for high-dimensional data. The MJGHD approach takes into account the cluster-specific subspace, thereby limiting the number of…

Methodology · Statistics 2018-11-02 Yang Tang , Ryan P. Browne , Paul D. McNicholas

It has long been noticed that high dimension data exhibits strange patterns. This has been variously interpreted as either a "blessing" or a "curse", causing uncomfortable inconsistencies in the literature. We propose that these patterns…

Computer Vision and Pattern Recognition · Computer Science 2020-03-18 Wen-Yan Lin

The Dirichlet distribution, also known as multivariate beta, is the most used to analyse frequencies or proportions data. Maximum likelihood is widespread for estimation of Dirichlet's parameters. However, for small sample sizes, the…

Methodology · Statistics 2021-03-04 Vincenzo Gioia , Euloge Clovis Kenne Pagui

The distribution shifts between training and test data typically undermine the performance of models. In recent years, lots of work pays attention to domain generalization (DG) where distribution shifts exist, and target data are unseen.…

Machine Learning · Computer Science 2024-01-05 Wang Lu , Jindong Wang , Yidong Wang , Xing Xie

Thanks to the reparameterization trick, deep latent Gaussian models have shown tremendous success recently in learning latent representations. The ability to couple them however with nonparamet-ric priors such as the Dirichlet Process (DP)…

Machine Learning · Statistics 2020-07-28 Amine Echraibi , Joachim Flocon-Cholet , Stéphane Gosselin , Sandrine Vaton

Estimating mutual information from observed samples is a basic primitive, useful in several machine learning tasks including correlation mining, information bottleneck clustering, learning a Chow-Liu tree, and conditional independence…

Information Theory · Computer Science 2018-10-11 Weihao Gao , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

Many current challenges involve understanding the complex dynamical interplay between the constituents of systems. Typically, the number of such constituents is high, but only limited data sources on them are available. Conventional…

Populations and Evolution · Quantitative Biology 2021-12-17 Jana C. Massing , Thilo Gross

We propose a method for segmentation of expository texts based on hierarchical agglomerative clustering. The method uses paragraphs as the basic segments for identifying hierarchical discourse structure in the text, applying lexical…

cmp-lg · Computer Science 2016-08-31 Yaakov Yaari

A class of discrete probability distributions contains distributions with limited support, i.e. possible argument values are limited to a set of numbers (typically consecutive). Examples of such data are results from subjective experiments…

Methodology · Statistics 2019-09-11 Lucjan Janowski , Bogdan Ćmiel , Krzysztof Rusek , Jakub Nawała , Zhi Li

Multi-Source Diffusion Models (MSDM) allow for compositional musical generation tasks: generating a set of coherent sources, creating accompaniments, and performing source separation. Despite their versatility, they require estimating the…

Sound · Computer Science 2024-03-19 Emilian Postolache , Giorgio Mariani , Luca Cosmo , Emmanouil Benetos , Emanuele Rodolà

In the domains of image and audio, diffusion models have shown impressive performance. However, their application to discrete data types, such as language, has often been suboptimal compared to autoregressive generative models. This paper…

Machine Learning · Computer Science 2024-05-29 Severi Rissanen , Markus Heinonen , Arno Solin

In this study, we introduce a new approach to combine multi-classifiers in an ensemble system. Instead of using numeric membership values encountered in fixed combining rules, we construct interval membership values associated with each…

Machine Learning · Computer Science 2017-03-17 Tien Thanh Nguyen , Xuan Cuong Pham , Alan Wee-Chung Liew , Witold Pedrycz

In tasks like semantic parsing, instruction following, and question answering, standard deep networks fail to generalize compositionally from small datasets. Many existing approaches overcome this limitation with model architectures that…

Computation and Language · Computer Science 2023-07-06 Ekin Akyürek , Jacob Andreas

To cluster data is to separate samples into distinctive groups that should ideally have some cohesive properties. Today, numerous clustering algorithms exist, and their differences lie essentially in what can be perceived as ``cohesive…

Machine Learning · Statistics 2025-05-08 Louis Ohl , Pierre-Alexandre Mattei , Frédéric Precioso

Mixup is an efficient data augmentation approach that improves the generalization of neural networks by smoothing the decision boundary with mixed data. Recently, dynamic mixup methods have improved previous static policies effectively…

Machine Learning · Computer Science 2023-10-24 Zicheng Liu , Siyuan Li , Ge Wang , Cheng Tan , Lirong Wu , Stan Z. Li

Despite consistent advancement in powerful deep learning techniques in recent years, large amounts of training data are still necessary for the models to avoid overfitting. Synthetic datasets using generative adversarial networks (GAN) have…

Sound · Computer Science 2023-04-05 Yunhao Chen , Yunjie Zhu , Zihui Yan , Jianlu Shen , Zhen Ren , Yifan Huang

We consider the problem of drawing samples from posterior distributions formed under a Dirichlet prior and a truncated multinomial likelihood, by which we mean a Multinomial likelihood function where we condition on one or more counts being…

Methodology · Statistics 2012-09-04 Matthew James Johnson , Alan S. Willsky

Deep Metric Learning (DML) plays a critical role in various machine learning tasks. However, most existing deep metric learning methods with binary similarity are sensitive to noisy labels, which are widely present in real-world data. Since…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Jiexi Yan , Lei Luo , Cheng Deng , Heng Huang

This paper has been withdrawn. With the advancement of statistical theory and computing power, data sets are providing a greater amount of insight into the problems of today. Statisticians have an ever increasing number of tools to attack…

Statistics Theory · Mathematics 2012-12-20 Derek S. Young

Text summarization and sentiment classification both aim to capture the main ideas of the text but at different levels. Text summarization is to describe the text within a few sentences, while sentiment classification can be regarded as a…

Computation and Language · Computer Science 2018-05-31 Shuming Ma , Xu Sun , Junyang Lin , Xuancheng Ren