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Machine learning for molecular property prediction has focused largely on pure compounds, even though many practical applications depend on mixtures with intermolecular interactions. Recent work has expanded the availability of mixture…

Machine Learning · Computer Science 2026-05-29 Roel J. Leenhouts , Nathan K. Morgan , William Green , Jan G. Rittig , Florence H. Vermeire

The conventional use of the Generalized Extreme Value (GEV) distribution to model block maxima may be inappropriate when extremes are actually structured into multiple heterogeneous groups. In this work, we propose a novel approach for…

We develop a mixture procedure for multi-sensor systems to monitor data streams for a change-point that causes a gradual degradation to a subset of the streams. Observations are assumed to be initially normal random variables with known…

Machine Learning · Statistics 2016-02-19 Yang Cao , Yao Xie , Nagi Gebraeel

Changepoint detection is commonly formulated by minimizing the sum of in-sample losses to quantify the model's overall fit. However, for flexible modeling procedures -- especially those involving high-dimensional parameter spaces or…

Methodology · Statistics 2026-05-05 Chengde Qian , Guanghui Wang , Zhaojun Wang , Changliang Zou

The Mixture Transition Distribution (MTD) model was introduced by Raftery to face the need for parsimony in the modeling of high-order Markov chains in discrete time. The particularity of this model comes from the fact that the effect of…

Computation · Statistics 2008-12-18 Sophie Lèbre , Pierre-Yves Bourguinon

The determination of chemical mixture components is vital to a multitude of scientific fields. Oftentimes spectroscopic methods are employed to decipher the composition of these mixtures. However, the sheer density of spectral features…

Astrophysics of Galaxies · Physics 2024-08-29 Zachary T. P. Fried , Brett A. McGuire

Computer Vision practitioners must thoroughly understand their model's performance, but conditional evaluation is complex and error-prone. In biometric verification, model performance over continuous covariates---real-number attributes of…

Machine Learning · Computer Science 2020-09-22 Mel McCurrie , Hamish Nicholson , Walter J. Scheirer , Samuel Anthony

This article tackles the old problem of prediction via a nonparametric transformation model (NTM) in a new Bayesian way. Estimation of NTMs is known challenging due to model unidentifiability though appealing because of its robust…

Methodology · Statistics 2023-02-08 Chong Zhong , Jin Yang , Junshan Shen , Catherine Liu , Zhaohai Li

In many applications, a finite mixture is a natural model, but it can be difficult to choose an appropriate number of components. To circumvent this choice, investigators are increasingly turning to Dirichlet process mixtures (DPMs), and…

Statistics Theory · Mathematics 2013-09-03 Jeffrey W. Miller , Matthew T. Harrison

Most studies in real time change-point detection either focus on the linear model or use the CUSUM method under classical assumptions on model errors. This paper considers the sequential change-point detection in a nonlinear quantile model.…

Statistics Theory · Mathematics 2016-05-03 Gabriela Ciuperca

In the mixture models problem it is assumed that there are $K$ distributions $\theta_{1},\ldots,\theta_{K}$ and one gets to observe a sample from a mixture of these distributions with unknown coefficients. The goal is to associate instances…

Machine Learning · Statistics 2013-12-02 Jason D Lee , Ran Gilad-Bachrach , Rich Caruana

Finite mixtures of regression models provide a flexible modeling framework for many phenomena. Using moment-based estimation of the regression parameters, we develop unbiased estimators with a minimum of assumptions on the mixture…

Statistics Theory · Mathematics 2019-05-17 Claus Thorn Ekstrøm , Christian Bressen Pipper

We present a Bayesian mixture model for estimating the joint distribution of mixed ordinal, nominal, and continuous data conditional on a set of fixed variables. The model uses multivariate normal and categorical mixture kernels for the…

Methodology · Statistics 2016-07-14 Maria DeYoreo , Jerome P. Reiter

This work is concerned with the detection of a mixture distribution from a $\mathbb{R}$-valued sample. Given a sample $X_1,\dots,X_n$ and an even density $\phi$, our aim is to detect whether the sample distribution is $\phi(\cdot-\mu)$ for…

Statistics Theory · Mathematics 2016-01-22 Béatrice Laurent , Clément Marteau , Cathy Maugis-Rabusseau

Multi-output prediction deals with the prediction of several targets of possibly diverse types. One way to address this problem is the so called problem transformation method. This method is often used in multi-label learning, but can also…

Machine Learning · Statistics 2019-04-09 Quay Au , Daniel Schalk , Giuseppe Casalicchio , Ramona Schoedel , Clemens Stachl , Bernd Bischl

This paper is concerned with learning of mixture regression models for individuals that are measured repeatedly. The adjective "unsupervised" implies that the number of mixing components is unknown and has to be determined, ideally by data…

Methodology · Statistics 2018-01-09 Peirong Xu , Heng Peng , Tao Huang

In this contribution, we present new algorithms to source separation for the case of noisy instantaneous linear mixture, within the Bayesian statistical framework. The source distribution prior is modeled by a mixture of Gaussians…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Hichem Snoussi , Ali Mohammad-Djafari

Finite mixture models are statistical models which appear in many problems in statistics and machine learning. In such models it is assumed that data are drawn from random probability measures, called mixture components, which are…

Machine Learning · Statistics 2022-04-05 Robert A. Vandermeulen , Clayton D. Scott

Detecting the emergence of an abrupt change-point is a classic problem in statistics and machine learning. Kernel-based nonparametric statistics have been used for this task which enjoy fewer assumptions on the distributions than the…

Machine Learning · Computer Science 2018-11-14 Shuang Li , Yao Xie , Hanjun Dai , Le Song

Significant progress has been made in learning image classification neural networks under long-tail data distribution using robust training algorithms such as data re-sampling, re-weighting, and margin adjustment. Those methods, however,…

Computer Vision and Pattern Recognition · Computer Science 2022-12-05 Lechao Cheng , Chaowei Fang , Dingwen Zhang , Guanbin Li , Gang Huang
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