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Simulating complex physical systems is crucial for understanding and predicting phenomena across diverse fields, such as fluid dynamics and heat transfer, as well as plasma physics and structural mechanics. Traditional approaches rely on…

Regression models for supervised learning problems with a continuous target are commonly understood as models for the conditional mean of the target given predictors. This notion is simple and therefore appealing for interpretation and…

统计方法学 · 统计学 2018-01-09 Torsten Hothorn , Achim Zeileis

We introduce canonical correlation forests (CCFs), a new decision tree ensemble method for classification and regression. Individual canonical correlation trees are binary decision trees with hyperplane splits based on local canonical…

机器学习 · 统计学 2017-08-10 Tom Rainforth , Frank Wood

Random forests is a common non-parametric regression technique which performs well for mixed-type unordered data and irrelevant features, while being robust to monotonic variable transformations. Standard random forests, however, do not…

统计计算 · 统计学 2019-06-19 Taylor Pospisil , Ann B. Lee

This paper introduces a novel nonparametric method for estimating high-dimensional dynamic covariance matrices with multiple conditioning covariates, leveraging random forests and supported by robust theoretical guarantees. Unlike…

机器学习 · 统计学 2025-05-20 Shuguang Yu , Fan Zhou , Yingjie Zhang , Ziqi Chen , Hongtu Zhu

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

机器学习 · 统计学 2019-02-12 Alexander Hanbo Li , Jelena Bradic

We propose Partition Tree, a novel tree-based framework for conditional density estimation over general outcome spaces that supports both continuous and categorical variables within a unified formulation. Our approach models conditional…

机器学习 · 计算机科学 2026-05-13 Felipe Angelim , Alessandro Leite

This study aims to improve the spatial representation of uncertainties when regressing surface wind speeds from large-scale atmospheric predictors for sub-seasonal forecasting. Sub-seasonal forecasting often relies on large-scale…

机器学习 · 计算机科学 2025-10-21 Ganglin Tian , Anastase Alexandre Charantonis , Camille Le Coz , Alexis Tantet , Riwal Plougonven

Trajectory prediction models that can infer both finite future trajectories and their associated uncertainties of the target vehicles in an online setting (e.g., real-world application scenarios) is crucial for ensuring the safe and robust…

机器学习 · 计算机科学 2025-02-05 Huiqun Huang , Sihong He , Fei Miao

Climate change is intensifying wildfire risks globally, making reliable forecasting critical for adaptation strategies. While machine learning shows promise for wildfire prediction from Earth observation data, current approaches lack…

机器学习 · 计算机科学 2025-10-14 Aditya Chakravarty

We propose and study a multi-scale approach to vector quantization. We develop an algorithm, dubbed reconstruction trees, inspired by decision trees. Here the objective is parsimonious reconstruction of unsupervised data, rather than…

机器学习 · 计算机科学 2019-09-05 Enrico Cecini , Ernesto De Vito , Lorenzo Rosasco

Uncertainty Quantification (UQ) is essential in probabilistic machine learning models, particularly for assessing the reliability of predictions. In this paper, we present a systematic framework for estimating both epistemic and aleatoric…

机器学习 · 统计学 2025-09-11 Marzieh Ajirak , Anand Ravishankar , Petar M. Djuric

Quantile regression is an effective technique to quantify uncertainty, fit challenging underlying distributions, and often provide full probabilistic predictions through joint learnings over multiple quantile levels. A common drawback of…

机器学习 · 计算机科学 2022-02-24 Youngsuk Park , Danielle Maddix , François-Xavier Aubet , Kelvin Kan , Jan Gasthaus , Yuyang Wang

We present an information-based uncertainty quantification method for general Markov Random Fields. Markov Random Fields (MRF) are structured, probabilistic graphical models over undirected graphs, and provide a fundamental unifying…

机器学习 · 统计学 2021-07-20 Panagiota Birmpa , Markos A. Katsoulakis

This work presents novel extensions for combining two frameworks for quantifying both aleatoric (i.e., irreducible) and epistemic (i.e., reducible) sources of uncertainties in the modeling of engineered systems. The data-consistent (DC)…

机器学习 · 统计学 2024-03-07 Taylor Roper , Harri Hakula , Troy Butler

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

机器学习 · 统计学 2020-01-13 Alexander Hanbo Li , Jelena Bradic

Uncertainty quantification has been a core of the statistical machine learning, but its computational bottleneck has been a serious challenge for both Bayesians and frequentists. We propose a model-based framework in quantifying…

机器学习 · 计算机科学 2019-06-04 Minsuk Shin , Young Lee , Jun S. Liu

The tree-structured varying coefficient model (TSVC) is a flexible regression approach that allows the effects of covariates to vary with the values of the effect modifiers. Relevant effect modifiers are identified inherently using…

统计方法学 · 统计学 2024-07-01 Nikolai Spuck , Matthias Schmid , Malte Monin , Moritz Berger

In this paper, we propose an invariant quantile regression (IQR) framework specifically designed for multi-environment datasets, which captures the invariance across different environments. This framework is closely related to transfer…

统计方法学 · 统计学 2026-05-28 Bo Fu , Dandan Jiang

This paper introduces a comprehensive, multi-stage machine learning methodology that effectively integrates information systems and artificial intelligence to enhance decision-making processes within the domain of operations research. The…

机器学习 · 计算机科学 2023-04-14 Nijat Mehdiyev , Maxim Majlatow , Peter Fettke