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Inverse problems involving partial differential equations (PDEs) are widely used in science and engineering. Although such problems are generally ill-posed, different regularisation approaches have been developed to ameliorate this problem.…

应用统计 · 统计学 2022-03-23 Jan Povala , Ieva Kazlauskaite , Eky Febrianto , Fehmi Cirak , Mark Girolami

Stochastic collocation methods for approximating the solution of partial differential equations with random input data (e.g., coefficients and forcing terms) suffer from the curse of dimensionality whereby increases in the stochastic…

数值分析 · 数学 2014-05-23 Aretha L. Teckentrup , Peter Jantsch , Clayton G. Webster , Max Gunzburger

High-dimensional feature selection arises in many areas of modern science. For example, in genomic research we want to find the genes that can be used to separate tissues of different classes (e.g. cancer and normal) from tens of thousands…

统计计算 · 统计学 2018-07-20 Longhai Li , Weixin Yao

Adapting large language models (LLMs) to a targeted task efficiently and effectively remains a fundamental challenge. Such adaptation often requires iteratively improving the model toward a targeted task, yet collecting high-quality…

计算与语言 · 计算机科学 2026-04-30 Ting-Wei Li , Sirui Chen , Jiaru Zou , Yingbing Huang , Tianxin Wei , Jingrui He , Hanghang Tong

This paper presents how the most recent improvements made on covariance matrix estimation and model order selection can be applied to the portfolio optimisation problem. The particular case of the Maximum Variety Portfolio is treated but…

应用统计 · 统计学 2018-04-03 Emmanuelle Jay , Eugénie Terreaux , Jean-Philippe Ovarlez , Frédéric Pascal

Bayesian inference with Markov Chain Monte Carlo (MCMC) is challenging when the likelihood function is irregular and expensive to compute. We explore several sampling algorithms that make use of subset evaluations to reduce computational…

机器学习 · 统计学 2025-05-16 Conor Rosato , Harvinder Lehal , Simon Maskell , Lee Devlin , Malcolm Strens

This paper introduces quasi-Monte Carlo latent variable models (QLVMs): a class of deep generative models that are specialized for finding extremely low-dimensional and interpretable embeddings of high-dimensional datasets. Unlike standard…

机器学习 · 计算机科学 2026-01-27 Miles Martinez , Alex H. Williams

Varying coefficient regression is a flexible technique for modeling data where the coefficients are functions of some effect-modifying parameter, often time or location in a certain domain. While there are a number of methods for variable…

统计方法学 · 统计学 2014-11-24 Wesley Brooks , Jun Zhu , Zudi Lu

The multinomial probit model is often used to analyze choice behaviour. However, estimation with existing Markov chain Monte Carlo (MCMC) methods is computationally costly, which limits its applicability to large choice data sets. This…

计量经济学 · 经济学 2022-10-18 Rubén Loaiza-Maya , Didier Nibbering

Though Gaussian graphical models have been widely used in many scientific fields, relatively limited progress has been made to link graph structures to external covariates. We propose a Gaussian graphical regression model, which regresses…

统计方法学 · 统计学 2022-02-01 Jingfei Zhang , Yi Li

In regression models for spatial data, it is often assumed that the marginal effects of covariates on the response are constant over space. In practice, this assumption might often be questionable. In this article, we show how a Gaussian…

统计方法学 · 统计学 2020-11-13 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

We investigate the performance and characteristics of currently available VB and MCMC software to explore the practicability of available approaches and provide guidance for clinical practitioners. Two case studies are used to fully explore…

应用统计 · 统计学 2024-08-29 Brian Buckley , Adrian O'Hagan , Marie Galligan

In this paper, the line spectral estimation (LSE) problem with multiple measurement vectors (MMVs) is studied utilizing the Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) method, we develop…

信息论 · 计算机科学 2018-11-29 Jiang Zhu , Qi Zhang , Peter Gerstoft , Mihai-Alin Badiu , Zhiwei Xu

Metric-based meta-learning has attracted a lot of attention due to its effectiveness and efficiency in few-shot learning. Recent studies show that metric scaling plays a crucial role in the performance of metric-based meta-learning…

机器学习 · 计算机科学 2020-08-27 Jiaxin Chen , Li-Ming Zhan , Xiao-Ming Wu , Fu-lai Chung

Local projection (LP) and structural vector autoregression (SVAR) are commonly employed to estimate dynamic causal effects of macroeconomic policies at multiple horizons. With enough lags as controls, LP estimators have little bias but…

计量经济学 · 经济学 2026-03-03 Aleksei Nemtyrev , Otilia Boldea

Variable selection has played a critical role in modern statistical learning and scientific discoveries. Numerous regularization and Bayesian variable selection methods have been developed in the past two decades for variable selection, but…

统计方法学 · 统计学 2024-03-04 Travis Canida , Hongjie Ke , Shuo Chen , Zhenayo Ye , Tianzhou Ma

In the era of big data, variable selection is a key technology for handling high-dimensional problems with a small sample size but a large number of covariables. Different variable selection methods were proposed for different models, such…

统计方法学 · 统计学 2020-12-14 Yinrui Sun , Hangjin Jiang

A simple and efficient adaptive Markov Chain Monte Carlo (MCMC) method, called the Metropolized Adaptive Subspace (MAdaSub) algorithm, is proposed for sampling from high-dimensional posterior model distributions in Bayesian variable…

统计方法学 · 统计学 2023-01-04 Christian Staerk , Maria Kateri , Ioannis Ntzoufras

We consider linear mixed models in which the observations are grouped. A L1-penalization on the fixed effects coefficients of the log-likelihood obtained by considering the random effects as missing values is proposed. A multicycle ECM…

统计计算 · 统计学 2013-01-29 Florian Rohart , Magali San-Cristobal , Béatrice Laurent

As a regression technique in spatial statistics, the spatiotemporally varying coefficient model (STVC) is an important tool for discovering nonstationary and interpretable response-covariate associations over both space and time. However,…

机器学习 · 统计学 2024-05-17 Mengying Lei , Aurelie Labbe , Lijun Sun