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Due to the privacy protection or the difficulty of data collection, we cannot observe individual outputs for each instance, but we can observe aggregated outputs that are summed over multiple instances in a set in some real-world…

机器学习 · 统计学 2022-10-05 Tomoharu Iwata

Distribution-free uncertainty estimation for ensemble methods is increasingly desirable due to the widening deployment of multi-modal black-box predictive models. Conformal prediction is one approach that avoids such distributional…

统计方法学 · 统计学 2025-05-26 Eduardo Ochoa Rivera , Yash Patel , Ambuj Tewari

Extreme learning machine (ELM) as an emerging branch of shallow networks has shown its excellent generalization and fast learning speed. However, for blended data, the robustness of ELM is weak because its weights and biases of hidden nodes…

机器学习 · 计算机科学 2014-09-24 Bo Han , Bo He , Mengmeng Ma , Tingting Sun , Tianhong Yan , Amaury Lendasse

In high-dimensional linear regression, the goal pursued here is to estimate an unknown regression function using linear combinations of a suitable set of covariates. One of the key assumptions for the success of any statistical procedure in…

统计理论 · 数学 2015-03-13 Philippe Rigollet , Alexandre Tsybakov

Recently, inspired by the concept of sparsity, Mixture-of-Experts (MoE) models have gained increasing popularity for scaling model size while keeping the number of activated parameters constant. In this study, we thoroughly investigate the…

计算与语言 · 计算机科学 2024-11-26 Xiaoye Qu , Daize Dong , Xuyang Hu , Tong Zhu , Weigao Sun , Yu Cheng

Gaussian process (GP) models have received increasing attention in recent years due to their superb prediction accuracy and modeling flexibility. To address the computational burdens of GP models for large-scale datasets, distributed…

机器学习 · 统计学 2026-02-11 Haoyuan Chen , Rui Tuo

A general framework for dealing with both linear regression and clustering problems is described. It includes Gaussian clusterwise linear regression analysis with random covariates and cluster analysis via Gaussian mixture models with…

统计方法学 · 统计学 2015-10-13 Giuliano Galimberti , Annamaria Manisi , Gabriele Soffritti

We present a machine learning (ML) method for predicting electronic structure correlation energies using Hartree-Fock input.The total correlation energy is expressed in terms of individual and pair contributions from occupied molecular…

化学物理 · 物理学 2018-10-16 Matthew Welborn , Lixue Cheng , Thomas F. Miller

Multi-prompt learning methods have emerged as an effective approach for facilitating the rapid adaptation of vision-language models to downstream tasks with limited resources. Existing multi-prompt learning methods primarily focus on…

计算机视觉与模式识别 · 计算机科学 2025-12-23 Fei Song , Yi Li , Jiangmeng Li , Rui Wang , Changwen Zheng , Fanjiang Xu , Hui Xiong

Active learning enables efficient model training by leveraging interactions between machine learning agents and human annotators. We study and propose a novel framework that formulates batch active learning from the sparse approximation's…

机器学习 · 计算机科学 2022-11-08 Maohao Shen , Bowen Jiang , Jacky Yibo Zhang , Oluwasanmi Koyejo

Quantifying forecast uncertainty is a key aspect of state-of-the-art numerical weather prediction and data assimilation systems. Ensemble-based data assimilation systems incorporate state-dependent uncertainty quantification based on…

大气与海洋物理 · 物理学 2023-05-17 Maximiliano A. Sacco , Manuel Pulido , Juan J. Ruiz , Pierre Tandeo

Parametric density estimation, for example as Gaussian distribution, is the base of the field of statistics. Machine learning requires inexpensive estimation of much more complex densities, and the basic approach is relatively costly…

机器学习 · 计算机科学 2017-02-21 Jarek Duda

Thanks to their ability to capture complex dependence structures, copulas are frequently used to glue random variables into a joint model with arbitrary marginal distributions. More recently, they have been applied to solve statistical…

统计方法学 · 统计学 2022-08-22 Thomas Nagler , Thibault Vatter

Ensemble forecast based on physics-informed models is one of the most widely used forecast algorithms for complex turbulent systems. A major difficulty in such a method is the model error that is ubiquitous in practice. Data-driven machine…

大气与海洋物理 · 物理学 2021-11-24 Nan Chen , Yingda Li

Accurate electrochemical models are essential for the safe and efficient operation of lithium-ion batteries in real-world applications such as electrified vehicles and grid storage. Reduced-order models (ROM) offer a balance between…

系统与控制 · 电气工程与系统科学 2025-07-02 Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Faissal El Idrissi , Marcello Canova

Our article is concerned with adaptive sampling schemes for Bayesian inference that update the proposal densities using previous iterates. We introduce a copula based proposal density which is made more efficient by combining it with…

统计方法学 · 统计学 2010-02-26 Ralph Silva , Robert Kohn , Paolo Giordani , Xiuyan Mun

Model selection is a strategy aimed at creating accurate and robust models. A key challenge in designing these algorithms is identifying the optimal model for classifying any particular input sample. This paper addresses this challenge and…

机器学习 · 计算机科学 2023-05-22 James Kotary , Vincenzo Di Vito , Ferdinando Fioretto

Traditional multi-task learning (MTL) methods use dense networks that use the same set of shared weights across several different tasks. This often creates interference where two or more tasks compete to pull model parameters in different…

Amounts of historical data collected increase and business intelligence applicability with automatic forecasting of time series are in high demand. While no single time series modeling method is universal to all types of dynamics,…

机器学习 · 统计学 2022-04-18 Evaldas Vaiciukynas , Paulius Danenas , Vilius Kontrimas , Rimantas Butleris

Mixtures-of-Experts models and their maximum likelihood estimation (MLE) via the EM algorithm have been thoroughly studied in the statistics and machine learning literature. They are subject of a growing investigation in the context of…

机器学习 · 统计学 2019-09-13 Faïcel Chamroukhi , Florian Lecocq , Hien D. Nguyen