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We study Bayesian inverse problems with mixed noise, modeled as a combination of additive and multiplicative Gaussian components. While traditional inference methods often assume fixed or known noise characteristics, real-world…

Machine Learning · Computer Science 2025-10-17 Paul Hagemann , Robert Gruhlke , Bernhard Stankewitz , Claudia Schillings , Gabriele Steidl

Within Bayesian nonparametrics, dependent Dirichlet process mixture models provide a highly flexible approach for conducting inference about the conditional density function. However, several formulations of this class make either rather…

Methodology · Statistics 2024-05-14 María Xosé Rodríguez-Álvarez , Vanda Inácio , Nadja Klein

A model based clustering procedure for data of mixed type, clustMD, is developed using a latent variable model. It is proposed that a latent variable, following a mixture of Gaussian distributions, generates the observed data of mixed type.…

Methodology · Statistics 2015-11-06 Damien McParland , Isobel Claire Gormley

We propose two algorithms for interpretation and boosting of tree-based ensemble methods. Both algorithms make use of mathematical programming models that are constructed with a set of rules extracted from an ensemble of decision trees. The…

Machine Learning · Computer Science 2020-09-22 S. Ilker Birbil , Mert Edali , Birol Yuceoglu

This paper deals with nonparametric estimation of conditional den-sities in mixture models in the case when additional covariates are available. The proposed approach consists of performing a prelim-inary clustering algorithm on the…

Statistics Theory · Mathematics 2015-02-09 Stéphane Auray , Nicolas Klutchnikoff , Laurent Rouvière

In modern computer experiment applications, one often encounters the situation where various models of a physical system are considered, each implemented as a simulator on a computer. An important question in such a setting is determining…

Methodology · Statistics 2023-05-08 John C. Yannotty , Thomas J. Santner , Richard J. Furnstahl , Matthew T. Pratola

Mixup is a widely adopted data augmentation technique known for enhancing the generalization of machine learning models by interpolating between data points. Despite its success and popularity, limited attention has been given to…

Machine Learning · Computer Science 2025-03-05 Chungpa Lee , Jongho Im , Joseph H. T. Kim

The aim of this research is to introduce a novel structural design process that allows architects and engineers to extend their typical design space horizon and thereby promoting the idea of creativity in structural design. The theoretical…

Machine Learning · Computer Science 2018-09-25 Lukas Fuhrimann , Vahid Moosavi , Patrick Ole Ohlbrock , Pierluigi Dacunto

We present a statistical perspective on boosting. Special emphasis is given to estimating potentially complex parametric or nonparametric models, including generalized linear and additive models as well as regression models for survival…

Methodology · Statistics 2008-12-18 Peter Bühlmann , Torsten Hothorn

Probabilistic models help us encode latent structures that both model the data and are ideally also useful for specific downstream tasks. Among these, mixture models and their time-series counterparts, hidden Markov models, identify…

Machine Learning · Computer Science 2021-10-29 Abhishek Sharma , Catherine Zeng , Sanjana Narayanan , Sonali Parbhoo , Finale Doshi-Velez

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

Stochastic gradient descent method and its variants constitute the core optimization algorithms that achieve good convergence rates for solving machine learning problems. These rates are obtained especially when these algorithms are…

Machine Learning · Computer Science 2024-03-14 S. Ilker Birbil , Ozgur Martin , Gonenc Onay , Figen Oztoprak

In this article, we introduce a new variable selection technique through trimming for finite mixture of regression models. Compared to the traditional variable selection techniques, the new method is robust and not sensitive to outliers.…

Methodology · Statistics 2019-05-06 Sijia Xiang , Weixin Yao

Combining data has become an indispensable tool for managing the current diversity and abundance of data. But, as data complexity and data volume swell, the computational demands of previously proposed models for combining data escalate…

Methodology · Statistics 2024-06-13 Mario Figueira , David Conesa , Antonio López-Quílez , Iosu Paradinas

The authors propose new additive models for binary outcomes, where the components are copula-based regression models (Noh et al, 2013), and designed such that the model may capture potentially complex interaction effects. The models do not…

Methodology · Statistics 2024-10-22 Simon Boge Brant , Ingrid Hobæk Haff

Central to the application of many multi-view geometry algorithms is the extraction of matching points between multiple viewpoints, enabling classical tasks such as camera pose estimation and 3D reconstruction. Many approaches that…

Computer Vision and Pattern Recognition · Computer Science 2021-10-15 Alexander Mai , Allen Yang , Dominique E. Meyer

Introduction. We investigate the generalization ability of models built on datasets containing a small number of subjects, recorded in single study protocols. Next, we propose and evaluate methods combining these datasets into a single,…

Machine Learning · Computer Science 2023-12-05 Gideon Vos , Kelly Trinh , Zoltan Sarnyai , Mostafa Rahimi Azghadi

Despite substantial progress in the field of deep learning, overfitting persists as a critical challenge, and data augmentation has emerged as a particularly promising approach due to its capacity to enhance model generalization in various…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Wen Liang , Youzhi Liang , Jianguo Jia

Demand forecasting is a central component of the replenishment process for retailers, as it provides crucial input for subsequent decision making like ordering processes. In contrast to point estimates, such as the conditional mean of the…

Machine Learning · Computer Science 2021-07-23 F. Wick , U. Kerzel , M. Hahn , M. Wolf , T. Singhal , D. Stemmer , J. Ernst , M. Feindt

We consider the problem of jointly modeling and clustering populations of tensors by introducing a high-dimensional tensor mixture model with heterogeneous covariances. To effectively tackle the high dimensionality of tensor objects, we…

Methodology · Statistics 2024-11-21 Biao Cai , Jingfei Zhang , Will Wei Sun