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We introduce new Gaussian Process (GP) high-order approximations to linear operations that are frequently used in various numerical methods. Our method employs the kernel-based GP regression modeling, a non-parametric Bayesian approach to…

计算物理 · 物理学 2025-06-09 Christopher DeGrendele , Dongwook Lee

The Maximum Mean Discrepancy (MMD) is a kernel-based metric widely used for nonparametric tests and estimation. Recently, it has also been studied as an objective function for parametric estimation, as it has been shown to yield robust…

统计计算 · 统计学 2025-04-25 Pierre Alquier , Mathieu Gerber

This paper investigates preconditioned conjugate gradient techniques for solving kernel ridge regression (KRR) problems with a medium to large number of data points ($10^4 \leq N \leq 10^7$), and it describes two methods with the strongest…

Many recent statistical applications involve inference under complex models, where it is computationally prohibitive to calculate likelihoods but possible to simulate data. Approximate Bayesian Computation (ABC) is devoted to these complex…

种群与进化 · 定量生物学 2011-06-15 Katalin Csilléry , Olivier François , Michael GB Blum

As data shift or new data become available, updating clinical machine learning models may be necessary to maintain or improve performance over time. However, updating a model can introduce compatibility issues when the behavior of the…

机器学习 · 统计学 2023-08-11 Erkin Ötleş , Brian T. Denton , Jenna Wiens

In this paper, we propose BPGrad, a novel approximate algorithm for deep nueral network training, based on adaptive estimates of feasible region via branch-and-bound. The method is based on the assumption of Lipschitz continuity in…

计算机视觉与模式识别 · 计算机科学 2021-10-26 Yuanwei Wu , Ziming Zhang , Guanghui Wang

Tree-based models are used in many high-stakes application domains such as finance and medicine, where robustness and interpretability are of utmost importance. Yet, methods for improving and certifying their robustness are severely…

机器学习 · 计算机科学 2022-11-16 Miklós Z. Horváth , Mark Niklas Müller , Marc Fischer , Martin Vechev

Recurrent neural network based solutions are increasingly being used in the analysis of longitudinal Electronic Health Record data. However, most works focus on prediction accuracy and neglect prediction uncertainty. We propose Deep Kernel…

机器学习 · 计算机科学 2021-07-27 Zhiliang Wu , Yinchong Yang , Peter A. Fasching , Volker Tresp

Purpose: Our objective is to apply an improved statistical global model of beta^- decay half-life systematics [1] generated by machine-learning techniques to the prediction of beta half-lives relevant to r-process nuclei. The primary aim of…

核理论 · 物理学 2013-09-04 N. J. Costiris , E. Mavrommatis , K. A. Gernoth , J. W. Clark

BACKGROUND. The majority of countries in Africa and nearly one third of all countries require mortality models to infer complete age schedules of mortality, required for population estimates, projections/forecasts and many other tasks in…

应用统计 · 统计学 2016-12-06 Samuel J. Clark

Stochastic gradient descent (SGD) is a simple and popular method to solve stochastic optimization problems which arise in machine learning. For strongly convex problems, its convergence rate was known to be O(\log(T)/T), by running SGD for…

机器学习 · 计算机科学 2015-03-19 Alexander Rakhlin , Ohad Shamir , Karthik Sridharan

Kernel density estimation is a well known method involving a smoothing parameter (the bandwidth) that needs to be tuned by the user. Although this method has been widely used the bandwidth selection remains a challenging issue in terms of…

统计理论 · 数学 2019-02-05 Suzanne Varet , Claire Lacour , Pascal Massart , Vincent Rivoirard

We investigate stochastic Bregman proximal gradient (SBPG) methods for minimizing a finite-sum nonconvex function $\Psi(x):=\frac{1}{n}\sum_{i=1}^nf_i(x)+\phi(x)$, where $\phi$ is convex and nonsmooth, while $f_i$, instead of gradient…

最优化与控制 · 数学 2025-09-23 Junyu Zhang

Stochastic gradient descent (SGD) or stochastic approximation has been widely used in model training and stochastic optimization. While there is a huge literature on analyzing its convergence, inference on the obtained solutions from SGD…

机器学习 · 统计学 2026-04-01 Henry Lam , Zitong Wang

The goal of this paper is to accelerate the training of machine learning models, a critical challenge since the training of large-scale deep neural models can be computationally expensive. Stochastic gradient descent (SGD) and its variants…

机器学习 · 计算机科学 2025-09-22 Yuen Chen , Yian Wang , Hari Sundaram

Improvement of statistical learning models in order to increase efficiency in solving classification or regression problems is still a goal pursued by the scientific community. In this way, the support vector machine model is one of the…

机器学习 · 统计学 2019-11-22 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

Stochastic gradient algorithms are the main focus of large-scale optimization problems and led to important successes in the recent advancement of the deep learning algorithms. The convergence of SGD depends on the careful choice of…

机器学习 · 计算机科学 2017-03-03 Caglar Gulcehre , Jose Sotelo , Marcin Moczulski , Yoshua Bengio

Fairness is a growing area of machine learning (ML) that focuses on ensuring models do not produce systematically biased outcomes for specific groups, particularly those defined by protected attributes such as race, gender, or age.…

统计计算 · 统计学 2025-10-14 Benjamin Smith , Jianhui Gao , Jessica Gronsbell

Post-treatment confounding is a common problem in causal inference, including special cases of noncompliance, truncation by death, surrogate endpoint, etc. Principal stratification (Frangakis and Rubin 2002) is a general framework for…

统计计算 · 统计学 2023-04-07 Bo Liu , Fan Li

Kernel methods provide a principled approach to nonparametric learning. While their basic implementations scale poorly to large problems, recent advances showed that approximate solvers can efficiently handle massive datasets. A shortcoming…

机器学习 · 计算机科学 2022-01-19 Giacomo Meanti , Luigi Carratino , Ernesto De Vito , Lorenzo Rosasco
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