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Sparse prediction with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm for selection…

统计方法学 · 统计学 2021-12-22 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel

Machine learning models with both good predictability and high interpretability are crucial for decision support systems. Linear regression is one of the most interpretable prediction models. However, the linearity in a simple linear…

机器学习 · 统计学 2022-04-29 Lkhagvadorj Munkhdalai , Tsendsuren Munkhdalai , Keun Ho Ryu

We present `latentcor`, an R package for correlation estimation from data with mixed variable types. Mixed variables types, including continuous, binary, ordinal, zero-inflated, or truncated data are routinely collected in many areas of…

统计计算 · 统计学 2022-04-22 Mingze Huang , Christian L. Müller , Irina Gaynanova

To avoid specification of the error distribution in a regression model, we propose a general nonparametric scale mixture model for the error distribution. For fitting such mixtures, the predictive recursion method is a simple and…

统计方法学 · 统计学 2015-09-03 Ryan Martin , Zhen Han

Predictive recursion (PR) is a fast, recursive algorithm that gives a smooth estimate of the mixing distribution under the general mixture model. However, the PR algorithm requires evaluation of a normalizing constant at each iteration.…

统计计算 · 统计学 2025-07-09 Vaidehi Dixit , Ryan Martin

The analysis of longitudinal data gives the chance to observe how unit behaviors change over time, but it also poses a series of issues. These have been the focus of an extensive literature in the context of linear and generalized linear…

统计计算 · 统计学 2025-10-20 Marco Alfó , Maria Francesca Marino , Maria Giovanna Ranalli , Nicola Salvati

Linear reduced-order modeling (ROM) simplifies complex simulations by approximating the behavior of a system using a simplified kinematic representation. Typically, ROM is trained on input simulations created with a specific spatial…

Relational logistic regression (RLR) is a representation of conditional probability in terms of weighted formulae for modelling multi-relational data. In this paper, we develop a learning algorithm for RLR models. Learning an RLR model from…

人工智能 · 计算机科学 2016-06-29 Bahare Fatemi , Seyed Mehran Kazemi , David Poole

We propose a Bayesian nonparametric model based on Markov Chain Monte Carlo (MCMC) methods for the joint reconstruction and prediction of discrete time stochastic dynamical systems, based on $m$-multiple time-series data, perturbed by…

统计方法学 · 统计学 2019-03-27 Spyridon J. Hatjispyros , Christos Merkatas

Composed Image Retrieval (CIR) aims to retrieve target images by integrating a reference image with a corresponding modification text. CIR requires jointly considering the explicit semantics specified in the query and the implicit semantics…

计算机视觉与模式识别 · 计算机科学 2026-04-17 Jiyoung Lim , Heejae Yang , Jee-Hyong Lee

State-space models are ubiquitous in the statistical literature since they provide a flexible and interpretable framework for analyzing many time series. In most practical applications, the state-space model is specified through a…

统计方法学 · 统计学 2020-06-18 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet

This work introduces a new approach for accelerating the numerical analysis of time-domain partial differential equations (PDEs) governing complex physical systems. The methodology is based on a combination of a classical reduced-order…

机器学习 · 计算机科学 2024-06-06 Victor Matray , Faisal Amlani , Frédéric Feyel , David Néron

Measurements acquired from distributed physical systems are often sparse and noisy. Therefore, signal processing and system identification tools are required to mitigate noise effects and reconstruct unobserved dynamics from limited sensor…

机器学习 · 计算机科学 2025-09-08 Omid Sedehi , Manish Yadav , Merten Stender , Sebastian Oberst

Mixed linear regression (MLR) is a powerful model for characterizing nonlinear relationships by utilizing a mixture of linear regression sub-models. The identification of MLR is a fundamental problem, where most of the existing results…

机器学习 · 统计学 2023-12-01 Yujing Liu , Zhixin Liu , Lei Guo

We propose an L1-penalized algorithm for fitting high-dimensional generalized linear mixed models. Generalized linear mixed models (GLMMs) can be viewed as an extension of generalized linear models for clustered observations. This…

统计计算 · 统计学 2014-06-03 Jürg Schelldorfer , Lukas Meier , Peter Bühlmann

In this paper, different strands of literature are combined in order to obtain algorithms for semi-parametric estimation of discrete choice models that include the modelling of unobserved heterogeneity by using mixing distributions for the…

统计方法学 · 统计学 2022-12-12 Dietmar Bauer , Sebastian Büscher , Manuel Batram

Many applications -- including power systems, robotics, and economics -- involve a dynamical system interacting with a stochastic and hard-to-model environment. We adopt a reinforcement learning approach to control such systems.…

最优化与控制 · 数学 2025-08-26 Abed AlRahman Al Makdah , Oliver Kosut , Lalitha Sankar , Shaofeng Zou

We describe spatio-temporal random processes using linear mixed models. We show how many commonly used models can be viewed as special cases of this general framework and pay close attention to models with separable or product-sum…

统计方法学 · 统计学 2021-06-01 Michael Dumelle , Jay M. Ver Hoef , Claudio Fuentes , Alix Gitelman

Modern generative machine learning models demonstrate surprising ability to create realistic outputs far beyond their training data, such as photorealistic artwork, accurate protein structures, or conversational text. These successes…

机器学习 · 计算机科学 2024-01-17 William Gilpin

Linear mixed models (LMMs) are used extensively to model dependecies of observations in linear regression and are used extensively in many application areas. Parameter estimation for LMMs can be computationally prohibitive on big data.…

机器学习 · 统计学 2019-03-08 Zilong Tan , Kimberly Roche , Xiang Zhou , Sayan Mukherjee