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Bayesian regression trees are flexible non-parametric models that are well suited to many modern statistical regression problems. Many such tree models have been proposed, from the simple single- tree model to more complex tree ensembles.…

Computation · Statistics 2013-12-09 M. T. Pratola

This paper proposes a multi-spectral random forest classifier with suitable feature selection and masking for tree cover estimation in urban areas. The key feature of the proposed classifier is filtering out the built-up region using…

Computer Vision and Pattern Recognition · Computer Science 2023-06-12 Usman Nazir , Momin Uppal , Muhammad Tahir , Zubair Khalid

Exploratory data analysis is crucial for developing and understanding classification models from high-dimensional datasets. We explore the utility of a new unsupervised tree ensemble called uncharted forest for visualizing class…

Machine Learning · Statistics 2018-07-03 Casey Kneale , Steven D. Brown

Tropical geometry with the max-plus algebra has been applied to statistical learning models over tree spaces because geometry with the tropical metric over tree spaces has some nice properties such as convexity in terms of the tropical…

Combinatorics · Mathematics 2021-11-02 Ruriko Yoshida , Shelby Cox

Quantum simulations constructing probability tensors of biological multi-taxa in phylogenetic trees are proposed, in terms of positive trace preserving maps, describing evolving systems of quantum walks with multiple walkers. Basic…

Quantum Physics · Physics 2011-05-10 Demosthenes Ellinas , Peter Jarvis

Some aspects of applications of bunching parameters are discussed. It is investigated to what extent Monte-Carlo models, which have been tuned to reproduce global event-shape variables and single-particle inclusive distributions, agree with…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. V. Chekanov

A random forest prediction can be computed by the scalar product of the labels of the training examples and a set of weights that are determined by the leafs of the forest into which the test object falls; each prediction can hence be…

Machine Learning · Computer Science 2023-11-27 Henrik Boström

Decision tree learning is a popular approach for classification and regression in machine learning and statistics, and Bayesian formulations---which introduce a prior distribution over decision trees, and formulate learning as posterior…

Machine Learning · Statistics 2013-08-26 Balaji Lakshminarayanan , Daniel M. Roy , Yee Whye Teh

The ratio of two densities provides a direct characterization of their differences. We consider the two-sample comparison problem by estimating this ratio given i.i.d. observations from two distributions. To this end, we propose additive…

Methodology · Statistics 2026-04-23 Naoki Awaya , Yuliang Xu , Li Ma

We consider the popular tree-based search strategy within the framework of reinforcement learning, the Monte Carlo Tree Search (MCTS), in the context of finite-horizon Markov decision process. We propose a dynamic sampling tree policy that…

Artificial Intelligence · Computer Science 2023-05-09 Gongbo Zhang , Yijie Peng , Yilong Xu

Spatial organization is a core challenge for all large agent-based models with local interactions. In biological tissue models, spatial search and reinsertion are frequently reported as the most expensive steps of the simulation. One of the…

Computational Geometry · Computer Science 2016-11-11 Ilya Dmitrenok , Viktor Drobnyy , Leonard Johard , Manuel Mazzara

We introduce a method for decomposition of trend, cycle and seasonal components in spatio-temporal models and apply it to investigate the existence of climate changes in temperature and rainfall series. The method incorporates critical…

Applications · Statistics 2017-03-21 Marcio Poletti Laurini

Monte Carlo tree search (MCTS) has received considerable interest due to its spectacular success in the difficult problem of computer Go and also proved beneficial in a range of other domains. A major issue that has received little…

Machine Learning · Computer Science 2019-05-10 Aurelien Pelissier , Atsuyoshi Nakamura , Koji Tabata

Assume we are given a set of items from a general metric space, but we neither have access to the representation of the data nor to the distances between data points. Instead, suppose that we can actively choose a triplet of items (A,B,C)…

Machine Learning · Statistics 2018-06-19 Siavash Haghiri , Damien Garreau , Ulrike von Luxburg

Bayesian Decision Trees (DTs) are generally considered a more advanced and accurate model than a regular Decision Tree (DT) because they can handle complex and uncertain data. Existing work on Bayesian DTs uses Markov Chain Monte Carlo…

Machine Learning · Computer Science 2023-05-31 Efthyvoulos Drousiotis , Alexander M. Phillips , Paul G. Spirakis , Simon Maskell

The classical paradox of social choice theory asserts that there is no fair way to deterministically select a winner in an election among more than two candidates; the only definite collective preferences are between individual pairs of…

Combinatorics · Mathematics 2012-11-05 Jennifer Iglesias , Nathaniel Ince , Po-Shen Loh

Scaling laws in ecology, intended both as functional relationships among ecologically-relevant quantities and the probability distributions that characterize their occurrence, have long attracted the interest of empiricists and…

Populations and Evolution · Quantitative Biology 2017-10-19 Silvia Zaoli , Andrea Giometto , Amos Maritan , Andrea Rinaldo

Complementarity among species with different traits is one of the basic processes affecting biodiversity, defined as the number of species in the ecosystem. We present here a soluble model ecosystem in which the species are characterized by…

Disordered Systems and Neural Networks · Physics 2009-11-07 Viviane M. de Oliveira , J. F. Fontanari

Monte Carlo Tree Search (MCTS), most famously used in game-play artificial intelligence (e.g., the game of Go), is a well-known strategy for constructing approximate solutions to sequential decision problems. Its primary innovation is the…

Optimization and Control · Mathematics 2017-04-21 Daniel R. Jiang , Lina Al-Kanj , Warren B. Powell

Planktonic communities are extremely diverse and include a vast number of rare species. The dynamics of these rare species is best described by individual-based models. However, individual-based approaches to planktonic diversity face…

Populations and Evolution · Quantitative Biology 2022-04-12 Paula Villa Martin , Anzhelika Koldaeva , Simone Pigolotti