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Sequential decision-making under uncertainty is present in many important problems. Two popular approaches for tackling such problems are reinforcement learning and online search (e.g., Monte Carlo tree search). While the former learns a…

Artificial Intelligence · Computer Science 2024-01-23 Ava Pettet , Yunuo Zhang , Baiting Luo , Kyle Wray , Hendrik Baier , Aron Laszka , Abhishek Dubey , Ayan Mukhopadhyay

In this work, we investigate Gaussian process regression used to recover a function based on noisy observations. We derive upper and lower error bounds for Gaussian process regression with possibly misspecified correlation functions. The…

Statistics Theory · Mathematics 2022-07-20 Wenjia Wang , Bing-Yi Jing

In large domains, Monte-Carlo tree search (MCTS) is required to estimate the values of the states as efficiently and accurately as possible. However, the standard update rule in backpropagation assumes a stationary distribution for the…

Machine Learning · Computer Science 2020-01-28 Yueqin Li , Nengli Lim

We present a Hamiltonian Monte Carlo algorithm to sample from multivariate Gaussian distributions in which the target space is constrained by linear and quadratic inequalities or products thereof. The Hamiltonian equations of motion can be…

Computation · Statistics 2013-06-06 Ari Pakman , Liam Paninski

Designing categorical kernels is a major challenge for Gaussian process regression with continuous and categorical inputs. Despite previous studies, it is difficult to identify a preferred method, either because the evaluation metrics, the…

Machine Learning · Statistics 2025-10-03 Raphaël Carpintero Perez , Sébastien Da Veiga , Josselin Garnier

Financial markets are notoriously complex environments, presenting vast amounts of noisy, yet potentially informative data. We consider the problem of forecasting financial time series from a wide range of information sources using online…

Statistical Finance · Quantitative Finance 2018-07-12 Sid Ghoshal , Stephen Roberts

Monte Carlo tree search (MCTS) has achieved state-of-the-art results in many domains such as Go and Atari games when combining with deep neural networks (DNNs). When more simulations are executed, MCTS can achieve higher performance but…

Artificial Intelligence · Computer Science 2020-12-16 Li-Cheng Lan , Meng-Yu Tsai , Ti-Rong Wu , I-Chen Wu , Cho-Jui Hsieh

Complex-valued signals are used in the modeling of many systems in engineering and science, hence being of fundamental interest. Often, random complex-valued signals are considered to be proper. A proper complex random variable or process…

Machine Learning · Computer Science 2015-02-19 Rafael Boloix-Tortosa , F. Javier Payán-Somet , Eva Arias-de-Reyna , Juan José Murillo-Fuentes

The real-world effectiveness of deep neural networks often depends on their latency, thereby necessitating optimization techniques that can reduce a model's inference time while preserving its performance. One popular approach is to…

Machine Learning · Computer Science 2024-10-10 Jakob Hartmann , Guoliang He , Eiko Yoneki

Decision Trees are prominent prediction models for interpretable Machine Learning. They have been thoroughly researched, mostly in the batch setting with a fixed labelled dataset, leading to popular algorithms such as C4.5, ID3 and CART.…

Machine Learning · Computer Science 2024-06-24 Ayman Chaouki , Jesse Read , Albert Bifet

In many risk-aware and multi-objective reinforcement learning settings, the utility of the user is derived from a single execution of a policy. In these settings, making decisions based on the average future returns is not suitable. For…

Artificial Intelligence · Computer Science 2022-12-07 Conor F. Hayes , Mathieu Reymond , Diederik M. Roijers , Enda Howley , Patrick Mannion

Monte Carlo Tree Search (MCTS) scales poorly in cooperative multi-agent domains because expansion must consider an exponentially large set of joint actions, severely limiting exploration under realistic search budgets. We propose NonZero,…

Machine Learning · Computer Science 2026-05-04 Sizhe Tang , Zuyuan Zhang , Mahdi Imani , Tian Lan

Generative Flow Networks (GFlowNets) enable structured generation with inherent diversity, but existing sampling strategies often rely on weak guided exploration, slowing early discovery of high-reward candidates. In tasks such as molecular…

Machine Learning · Computer Science 2026-02-03 Rui Zhu , Yudong Zhang , Xuan Yu , Chen Zhang , Xu Wang , Yang Wang

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

We present a scalable tree search planning algorithm for large multi-agent sequential decision problems that require dynamic collaboration. Teams of agents need to coordinate decisions in many domains, but naive approaches fail due to the…

Artificial Intelligence · Computer Science 2021-01-14 Shushman Choudhury , Jayesh K. Gupta , Peter Morales , Mykel J. Kochenderfer

This paper shows that gradient boosting based on symmetric decision trees can be equivalently reformulated as a kernel method that converges to the solution of a certain Kernel Ridge Regression problem. Thus, we obtain the convergence to a…

Machine Learning · Computer Science 2023-03-14 Aleksei Ustimenko , Artem Beliakov , Liudmila Prokhorenkova

In order to scale standard Gaussian process (GP) regression to large-scale datasets, aggregation models employ factorized training process and then combine predictions from distributed experts. The state-of-the-art aggregation models,…

Machine Learning · Statistics 2018-06-05 Haitao Liu , Jianfei Cai , Yi Wang , Yew-Soon Ong

We present an efficient and exact Monte Carlo algorithm to simulate reversible aggregation of particles with dedicated binding sites. This method introduces a novel data structure of dynamic bond tree to record clusters and sequences of…

Quantitative Methods · Quantitative Biology 2011-09-27 Qiang Chang , Jin Yang

Link prediction aims to reveal missing edges in a graph. We address this task with a Gaussian process that is transformed using simplified graph convolutions to better leverage the inductive bias of the domain. To scale the Gaussian process…

Machine Learning · Computer Science 2020-02-12 Felix L. Opolka , Pietro Liò

We introduce a new regression framework, Gaussian process regression networks (GPRN), which combines the structural properties of Bayesian neural networks with the non-parametric flexibility of Gaussian processes. This model accommodates…

Machine Learning · Statistics 2011-10-21 Andrew Gordon Wilson , David A. Knowles , Zoubin Ghahramani