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The training of high-dimensional regression models on comparably sparse data is an important yet complicated topic, especially when there are many more model parameters than observations in the data. From a Bayesian perspective, inference…

统计方法学 · 统计学 2025-03-03 Javier Enrique Aguilar , Paul-Christian Bürkner

Frequentist robust variable selection has been extensively investigated in high-dimensional regression. Despite success, developing the corresponding statistical inference procedures remains a challenging task. Recently, tackling this…

统计方法学 · 统计学 2025-07-24 Kun Fan , Srijana Subedi , Vishmi Ridmika Dissanayake Pathiranage , Cen Wu

We introduce a new class of non-linear function-on-function regression models for functional data using neural networks. We propose a framework using a hidden layer consisting of continuous neurons, called a continuous hidden layer, for…

统计方法学 · 统计学 2023-10-10 Aniruddha Rajendra Rao , Matthew Reimherr

We propose a new method, called MonteCarlo Posterior Fit, to boost the MonteCarlo sampling of likelihood (posterior) functions. The idea is to approximate the posterior function by an analytical multidimensional non-Gaussian fit. The many…

宇宙学与河外天体物理 · 物理学 2020-08-19 Luca Amendola , Adrià Gómez-Valent

In many machine learning tasks, input features with varying degrees of predictive capability are acquired at varying costs. In order to optimize the performance-cost trade-off, one would select features to observe a priori. However, given…

机器学习 · 计算机科学 2022-04-04 Randy Ardywibowo , Shahin Boluki , Zhangyang Wang , Bobak Mortazavi , Shuai Huang , Xiaoning Qian

The aim of this work is to develop a fast algorithm for approximating the matrix function $f(A)$ of a square matrix $A$ that is symmetric and has hierarchically semiseparable (HSS) structure. Appearing in a wide variety of applications,…

数值分析 · 数学 2024-02-28 Angelo A. Casulli , Daniel Kressner , Leonardo Robol

Feature selection is a crucial step in developing robust and powerful machine learning models. Feature selection techniques can be divided into two categories: filter and wrapper methods. While wrapper methods commonly result in strong…

机器学习 · 计算机科学 2022-07-07 Jarne Verhaeghe , Jeroen Van Der Donckt , Femke Ongenae , Sofie Van Hoecke

Hashing is a basic tool for dimensionality reduction employed in several aspects of machine learning. However, the perfomance analysis is often carried out under the abstract assumption that a truly random unit cost hash function is used,…

机器学习 · 统计学 2017-11-27 Søren Dahlgaard , Mathias Bæk Tejs Knudsen , Mikkel Thorup

Estimating how well a machine learning model performs during inference is critical in a variety of scenarios (for example, to quantify uncertainty, or to choose from a library of available models). However, the standard accuracy estimate of…

计算机视觉与模式识别 · 计算机科学 2021-10-07 Xuechen Zhang , Samet Oymak , Jiasi Chen

Modern data science applications often involve complex relational data with dynamic structures. An abrupt change in such dynamic relational data is typically observed in systems that undergo regime changes due to interventions. In such a…

统计方法学 · 统计学 2024-07-16 Peng Zhao , Anirban Bhattacharya , Debdeep Pati , Bani K. Mallick

The Forward-Forward (FF) algorithm trains networks layer-by-layer using a local "goodness function," yet sum-of-squares (SoS) has remained the only choice studied. We systematically explore the goodness-function design space and identify a…

机器学习 · 计算机科学 2026-04-20 Talha Ruzgar Akkus , Suayp Talha Kocabay , Kamer Ali Yuksel , Hassan Sawaf

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

统计方法学 · 统计学 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

In industry, feature selection is a standard but necessary step to search for an optimal set of informative feature fields for efficient and effective training of deep Click-Through Rate (CTR) models. Most previous works measure the…

信息检索 · 计算机科学 2022-09-07 Yi Guo , Zhaocheng Liu , Jianchao Tan , Chao Liao , Sen Yang , Lei Yuan , Dongying Kong , Zhi Chen , Ji Liu

It has been recognized that using time-varying initialization functions to solve the initial value problem of fractional-order systems (FOS) is both complex and essential in defining the dynamical behavior of the states of FOSs. In this…

统计方法学 · 统计学 2022-10-19 Mohamed A. Bahloul , Zehor Belkhatir , Taous-Meriem laleg-Kirati

[This paper was initially published in PHME conference in 2016, selected for further publication in International Journal of Prognostics and Health Management.] This paper describes an Autoregressive Partially-hidden Markov model (ARPHMM)…

机器学习 · 统计学 2021-05-04 Pablo Juesas , Emmanuel Ramasso , Sébastien Drujont , Vincent Placet

Sparse regression and classification estimators that respect group structures have application to an assortment of statistical and machine learning problems, from multitask learning to sparse additive modeling to hierarchical selection.…

统计方法学 · 统计学 2024-03-11 Ryan Thompson , Farshid Vahid

The Horseshoe is a widely used and popular continuous shrinkage prior for high-dimensional Bayesian linear regression. Recently, regularized versions of the Horseshoe prior have also been introduced in the literature. Various Gibbs sampling…

统计理论 · 数学 2021-01-05 Suman K. Bhattacharya , Kshitij Khare , Subhadip Pal

Student procrastination and cramming for deadlines are major challenges in online learning environments, with negative educational and well-being side effects. Modeling student activities in continuous time and predicting their next study…

机器学习 · 计算机科学 2021-02-02 Mengfan Yao , Siqian Zhao , Shaghayegh Sahebi , Reza Feyzi Behnagh

Few-shot segmentation (FSS) aims to segment unseen classes given only a few annotated samples. Existing methods suffer the problem of feature undermining, i.e. potential novel classes are treated as background during training phase. Our…

计算机视觉与模式识别 · 计算机科学 2021-09-28 Lihe Yang , Wei Zhuo , Lei Qi , Yinghuan Shi , Yang Gao

The Fay-Herriot (FH) model is widely used in small area estimation and uses auxiliary information to reduce estimation variance at undersampled locations. We extend the type of covariate information used in the FH model to include…

统计方法学 · 统计学 2014-05-12 Aaron T. Porter , Scott H. Holan , Christopher K. Wikle , Noel Cressie
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