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The best subset selection (or "best subsets") estimator is a classic tool for sparse regression, and developments in mathematical optimization over the past decade have made it more computationally tractable than ever. Notwithstanding its…

统计方法学 · 统计学 2022-01-11 Ryan Thompson

Diffusion models have become emerging generative models. Their sampling process involves multiple steps, and in each step the models predict the noise from a noisy sample. When the models make prediction, the output deviates from the ground…

机器学习 · 计算机科学 2025-10-28 Shifeng Xu , Yanzhu Liu , Adams Wai-Kin Kong

Sampling-based path planning algorithms suffer from heavy reliance on uniform sampling, which accounts for unreliable and time-consuming performance, especially in complex environments. Recently, neural-network-driven methods predict…

机器人学 · 计算机科学 2023-08-17 Yuan Huang , Cheng-Tien Tsao , Tianyu Shen , Hee-Hyol Lee

We consider the problem of propagating the uncertainty from a possibly large number of random inputs through a computationally expensive model. Stratified sampling is a well-known variance reduction strategy, but its application, thus far,…

数值分析 · 数学 2026-03-06 Gianluca Geraci , Daniele E. Schiavazzi , Andrea Zanoni

A graphical model is a multivariate (potentially very high dimensional) probabilistic model, which is formed by combining lower dimensional components. Inference (computation of conditional probabilities) is based on message passing…

统计计算 · 统计学 2021-06-03 Mads Lindskou , Søren Højsgaard , Poul Svante Eriksen , Torben Tvedebrink

Traditional regression models assume stationary relationships between predictors and responses, failing to capture the spatial heterogeneity present in many environmental, epidemiological, and ecological processes. To address this…

统计方法学 · 统计学 2025-05-27 Justice Akuoko-Frimpong , Edward Shao , Jonathan Ta

Optimization-based samplers such as randomize-then-optimize (RTO) [2] provide an efficient and parallellizable approach to solving large-scale Bayesian inverse problems. These methods solve randomly perturbed optimization problems to draw…

统计计算 · 统计学 2019-10-29 Johnathan Bardsley , Tiangang Cui , Youssef Marzouk , Zheng Wang

One key task in environmental science is to map environmental variables continuously in space or even in space and time. Machine learning algorithms are frequently used to learn from local field observations to make spatial predictions by…

机器学习 · 统计学 2024-04-11 Hanna Meyer , Marvin Ludwig , Carles Milà , Jan Linnenbrink , Fabian Schumacher

R2BEAT (R "to" Bethel Extended Allocation for Two-stage sampling) is an R package for the allocation of a sample. Besides other software and packages dealing with the allocation problems, its peculiarity lies in facing properly allocation…

统计方法学 · 统计学 2022-09-15 Giulio Barcaroli , Andrea Fasulo , Alessio Guandalini , Marco D. Terribili

Satellite imagery and remote sensing provide explanatory variables at relatively high resolutions for modeling geospatial phenomena, yet regional summaries are often desirable for analysis and actionable insight. In this paper, we propose a…

机器学习 · 统计学 2017-12-15 Sam Kriegman , Marcin Szubert , Josh C. Bongard , Christian Skalka

CensSpatial is an R package for analyzing spatial censored data through linear models. It offers a set of tools for simulating, estimating, making predictions, and performing local influence diagnostics for outlier detection. The package…

统计方法学 · 统计学 2021-10-13 Jose A. Ordonez , Christian E. Galarza , Victor H. Lachos

This study introduces a novel computational framework for Robust Topology Optimization (RTO) considering imprecise random field parameters. Unlike the worst-case approach, the present method provides upper and lower bounds for the mean and…

计算工程、金融与科学 · 计算机科学 2022-01-28 Kang Gao , Duy Minh Doc , Sheng Chu , Gang Wu , H. Alicia Kim , Carol A. Featherston

Ranked set sampling (RSS) is a stratified sampling method that improves efficiency over simple random sampling (SRS) by utilizing auxiliary information for ranking and stratification. While balanced RSS (BRSS) assumes equal allocation…

统计方法学 · 统计学 2025-09-03 Chul Moon , Soohyun Ahn

While the manifold hypothesis is widely adopted in modern machine learning, complex data is often better modeled as stratified spaces -- unions of manifolds (strata) of varying dimensions. Stratified learning is challenging due to varying…

机器学习 · 统计学 2026-04-14 Randy Martinez , Rong Tang , Lizhen Lin

Inference time latency has remained an open challenge for real world applications of large language models (LLMs). State-of-the-art (SOTA) speculative sampling (SpS) methods for LLMs, like EAGLE-3, use tree-based drafting to explore…

机器学习 · 计算机科学 2026-01-21 Chenan Wang , Daniel H. Shi , Haipeng Chen

We introduce a novel gradient descent algorithm extending the well-known Gradient Sampling methodology to the class of stratifiably smooth objective functions, which are defined as locally Lipschitz functions that are smooth on some regular…

计算几何 · 计算机科学 2021-09-06 Jacob Leygonie , Mathieu Carrière , Théo Lacombe , Steve Oudot

This paper considers a class of constrained stochastic composite optimization problems whose objective function is given by the summation of a differentiable (possibly nonconvex) component, together with a certain non-differentiable (but…

最优化与控制 · 数学 2013-09-06 Saeed Ghadimi , Guanghui Lan , Hongchao Zhang

Stochastic Gradient Boosting (SGB) is a widely used approach to regularization of boosting models based on decision trees. It was shown that, in many cases, random sampling at each iteration can lead to better generalization performance of…

机器学习 · 统计学 2019-10-30 Bulat Ibragimov , Gleb Gusev

Spectral-spatial processing has been increasingly explored in remote sensing hyperspectral image classification. While extensive studies have focused on developing methods to improve the classification accuracy, experimental setting and…

计算机视觉与模式识别 · 计算机科学 2017-03-08 Jie Liang , Jun Zhou , Yuntao Qian , Lian Wen , Xiao Bai , Yongsheng Gao

Path planners based on basic rapidly-exploring random trees (RRTs) are quick and efficient, and thus favourable for real-time robot path planning, but are almost-surely suboptimal. In contrast, the optimal RRT (RRT*) converges to the…

机器人学 · 计算机科学 2023-11-07 Bongani B. Maseko , Corné E. van Daalen , Johann Treurnicht