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Random forests (RFs) are among the most popular supervised learning algorithms due to their nonlinear flexibility and ease-of-use. However, as black box models, they can only be interpreted via algorithmically-defined feature importance…

统计方法学 · 统计学 2025-05-26 Abhineet Agarwal , Ana M. Kenney , Yan Shuo Tan , Tiffany M. Tang , Bin Yu

A Bayesian approach to the classification problem is proposed in which random partitions play a central role. It is argued that the partitioning approach has the capacity to take advantage of a variety of large-scale spatial structures, if…

统计理论 · 数学 2007-06-13 Marc A. Coram

In this article, a large data set containing every course taken by every undergraduate student in a major university in Canada over 10 years is analysed. Modern machine learning algorithms can use large data sets to build useful tools for…

机器学习 · 统计学 2021-05-17 Cédric Beaulac , Jeffrey S. Rosenthal

As a flexible nonparametric learning tool, the random forests algorithm has been widely applied to various real applications with appealing empirical performance, even in the presence of high-dimensional feature space. Unveiling the…

统计理论 · 数学 2022-09-27 Chien-Ming Chi , Patrick Vossler , Yingying Fan , Jinchi Lv

Deep Gaussian Processes learn probabilistic data representations for supervised learning by cascading multiple Gaussian Processes. While this model family promises flexible predictive distributions, exact inference is not tractable.…

机器学习 · 统计学 2020-10-23 Jakob Lindinger , David Reeb , Christoph Lippert , Barbara Rakitsch

Monte Carlo Tree Search (MCTS) has shown its strength for a lot of deterministic and stochastic examples, but literature lacks reports of applications to real world industrial processes. Common reasons for this are that there is no…

人工智能 · 计算机科学 2021-08-05 Dorina Weichert , Felix Horchler , Alexander Kister , Marcus Trost , Johannes Hartung , Stefan Risse

Bayesian optimization is a powerful tool for expensive stochastic black-box optimization problems such as simulation-based optimization or machine learning hyperparameter tuning. Many stochastic objective functions implicitly require a…

机器学习 · 统计学 2019-10-22 Michael Pearce , Matthias Poloczek , Juergen Branke

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

统计方法学 · 统计学 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

We present a new Subset Simulation approach using Hamiltonian neural network-based Monte Carlo sampling for reliability analysis. The proposed strategy combines the superior sampling of the Hamiltonian Monte Carlo method with…

We present an algorithm for learning decision trees using stochastic gradient information as the source of supervision. In contrast to previous approaches to gradient-based tree learning, our method operates in the incremental learning…

机器学习 · 统计学 2019-09-25 Henry Gouk , Bernhard Pfahringer , Eibe Frank

We consider versions of the FIND algorithm where the pivot element used is the median of a subset chosen uniformly at random from the data. For the median selection we assume that subsamples of size asymptotic to $c \cdot n^\alpha$ are…

概率论 · 数学 2013-11-20 Henning Sulzbach , Ralph Neininger , Michael Drmota

Gaussian processes (GP) are a versatile tool in machine learning and computational science. We here consider the case of multi-output Gaussian processes (MOGP) and present low-rank approaches for efficiently computing the posterior mean of…

数值分析 · 数学 2025-05-01 Sebastian Esche , Martin Stoll

We develop a simulation-based method for the online updating of Gaussian process regression and classification models. Our method exploits sequential Monte Carlo to produce a fast sequential design algorithm for these models relative to the…

统计计算 · 统计学 2010-07-07 Robert B. Gramacy , Nicholas G. Polson

Gaussian process regression (GPR) is a powerful machine learning method which has recently enjoyed wider use, in particular in physical sciences. In its original formulation, GPR uses a square matrix of covariances among training data and…

数值分析 · 数学 2023-09-08 Sergei Manzhos , Manabu Ihara

The problem of selecting the most useful features from a great many (eg, thousands) of candidates arises in many areas of modern sciences. An interesting problem from genomic research is that, from thousands of genes that are active…

应用统计 · 统计学 2018-05-15 Longhai Li , Weixin Yao

The multiscale Monte-Carlo algorithm outlined in Bai and Brandt[1] is applied to a simple model of the polypeptide backbone. Effective coarse level Hamiltonians are derived by a fast Newtonian iterative scheme. The coarse Hamiltonian…

材料科学 · 物理学 2007-05-23 Dov Bai

In recent years, there has been a growing interest in accelerated materials innovation in the context of the process-structure-property chain. In this regard, it is essential to take into account manufacturing processes and tailor materials…

材料科学 · 物理学 2024-11-12 Lukas Morand , Tarek Iraki , Johannes Dornheim , Stefan Sandfeld , Norbert Link , Dirk Helm

With the significant advancement in quantum computation in the past couple of decades, the exploration of machine-learning subroutines using quantum strategies has become increasingly popular. Gaussian process regression is a widely used…

量子物理 · 物理学 2018-03-07 Siddhartha Das , George Siopsis , Christian Weedbrook

This thesis designs a prediction system based on matrix factorization to predict the classification accuracy of a specific model on a particular dataset. In this thesis, we conduct comprehensive empirical research on more than fifty…

机器学习 · 计算机科学 2023-05-02 Yunbo Dong

Random Forest (RF) is a powerful supervised learner and has been popularly used in many applications such as bioinformatics. In this work we propose the guided random forest (GRF) for feature selection. Similar to a feature selection method…

机器学习 · 计算机科学 2013-11-19 Houtao Deng