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We consider maximum likelihood estimation for Gaussian Mixture Models (Gmms). This task is almost invariably solved (in theory and practice) via the Expectation Maximization (EM) algorithm. EM owes its success to various factors, of which…

机器学习 · 统计学 2018-06-04 Reshad Hosseini , Suvrit Sra

Graphical Transformation Models (GTMs) are introduced as a novel approach to effectively model multivariate data with intricate marginals and complex dependency structures semiparametrically, while maintaining interpretability through the…

统计方法学 · 统计学 2025-08-28 Matthias Herp , Johannes Brachem , Michael Altenbuchinger , Thomas Kneib

Constrained clustering has gained significant attention in the field of machine learning as it can leverage prior information on a growing amount of only partially labeled data. Following recent advances in deep generative models, we…

机器学习 · 计算机科学 2022-02-02 Laura Manduchi , Kieran Chin-Cheong , Holger Michel , Sven Wellmann , Julia E. Vogt

Clustering mixtures of Gaussian distributions is a fundamental and challenging problem that is ubiquitous in various high-dimensional data processing tasks. While state-of-the-art work on learning Gaussian mixture models has focused…

机器学习 · 计算机科学 2018-03-05 Dan Kushnir , Shirin Jalali , Iraj Saniee

We propose TimePre, a simple framework that unifies the efficiency of Multilayer Perceptron (MLP)-based models with the distributional flexibility of Multiple Choice Learning (MCL) for Probabilistic Time-Series Forecasting (PTSF).…

Accurate time series forecasting is critical for a wide range of problems with temporal data. Ensemble modeling is a well-established technique for leveraging multiple predictive models to increase accuracy and robustness, as the…

机器学习 · 计算机科学 2023-04-11 Dimitris Bertsimas , Leonard Boussioux

We investigate model assessment and selection in a changing environment, by synthesizing datasets from both the current time period and historical epochs. To tackle unknown and potentially arbitrary temporal distribution shift, we develop…

机器学习 · 计算机科学 2024-06-05 Elise Han , Chengpiao Huang , Kaizheng Wang

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

统计方法学 · 统计学 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

We present a new subspace-based method to construct probabilistic models for high-dimensional data and highlight its use in anomaly detection. The approach is based on a statistical estimation of probability density using densities of…

机器学习 · 计算机科学 2021-08-16 Cetin Savkli , Catherine Schwartz

With an ever-increasing number of sensors in modern society, spatio-temporal time series forecasting has become a de facto tool to make informed decisions about the future. Most spatio-temporal forecasting models typically comprise distinct…

机器学习 · 计算机科学 2023-03-24 Lars Ødegaard Bentsen , Narada Dilp Warakagoda , Roy Stenbro , Paal Engelstad

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

应用统计 · 统计学 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

Multimodal regression is a fundamental task, which integrates the information from different sources to improve the performance of follow-up applications. However, existing methods mainly focus on improving the performance and often ignore…

机器学习 · 计算机科学 2021-11-17 Huan Ma , Zongbo Han , Changqing Zhang , Huazhu Fu , Joey Tianyi Zhou , Qinghua Hu

The purpose of this paper is to provide a discussion, with illustrating examples, on Bayesian forecasting for dynamic generalized linear models (DGLMs). Adopting approximate Bayesian analysis, based on conjugate forms and on Bayes linear…

统计方法学 · 统计学 2008-02-05 K. Triantafyllopoulos

Conventional deep models have achieved unprecedented success in time series forecasting. However, facing the challenge of cross-domain generalization, existing studies utilize statistical prior as prompt engineering fails under the huge…

机器学习 · 计算机科学 2025-11-26 Xiangkai Ma , Xiaobin Hong , Mingkai Lin , Han Zhang , Wenzhong Li , Sanglu Lu

Learning parameters from voluminous data can be prohibitive in terms of memory and computational requirements. We propose a "compressive learning" framework where we estimate model parameters from a sketch of the training data. This sketch…

机器学习 · 计算机科学 2017-05-08 Nicolas Keriven , Anthony Bourrier , Rémi Gribonval , Patrick Pérez

Time Series Forecasting (TSF) is a widely researched topic with broad applications in weather forecasting, traffic control, and stock price prediction. Extreme values in time series often significantly impact human and natural systems, but…

机器学习 · 计算机科学 2023-10-12 Jincheng Wang , Yue Gao

We consider the estimation of an i.i.d.\ random vector observed through a linear transform followed by a componentwise, probabilistic (possibly nonlinear) measurement channel. A novel algorithm, called generalized approximate message…

信息论 · 计算机科学 2012-08-15 Sundeep Rangan

Big time series are increasingly available from an ever wider range of IoT-enabled sensors deployed in various environments. Significant insights can be gained by mining temporal patterns from these time series. Temporal pattern mining…

数据库 · 计算机科学 2023-06-21 Van Long Ho , Nguyen Ho , Torben Bach Pedersen , Panagiotis Papapetrou

While Gaussian processes (GPs) are the method of choice for regression tasks, they also come with practical difficulties, as inference cost scales cubic in time and quadratic in memory. In this paper, we introduce a natural and expressive…

机器学习 · 计算机科学 2018-09-13 Martin Trapp , Robert Peharz , Carl E. Rasmussen , Franz Pernkopf

Non-stationary time series with non-linear trends are frequently encountered in applications. We consider here the feasibility of accurately forecasting the signals of multiple such time series considering jointly when the number of…

统计方法学 · 统计学 2016-08-05 Kerry Fendick