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Modern chess engines achieve superhuman performance through deep tree search and regressive evaluation, while human players rely on intuition to select candidate moves followed by a shallow search to validate them. To model this…

计算机视觉与模式识别 · 计算机科学 2025-06-06 Andrew Hamara , Greg Hamerly , Pablo Rivas , Andrew C. Freeman

We use Monte Carlo techniques to simulate an organized prediction competition between a group of a scientific experts acting under the influence of a ``self-governing'' prediction reward algorithm. Our aim is to illustrate the advantages of…

社会与信息网络 · 计算机科学 2023-05-09 J. O. Gonzalez-Hernandez , Jonathan Marino , Ted Rogers , Brandon Velasco

Deep learning methods are highly accurate, yet their opaque decision process prevents them from earning full human trust. Concept-based models aim to address this issue by learning tasks based on a set of human-understandable concepts.…

Uncertainty estimation in deep models is essential in many real-world applications and has benefited from developments over the last several years. Recent evidence suggests that existing solutions dependent on simple Gaussian formulations…

机器学习 · 计算机科学 2022-05-11 Jurijs Nazarovs , Ronak R. Mehta , Vishnu Suresh Lokhande , Vikas Singh

We introduce a Monte Carlo scheme for sampling bold-line diagrammatic series specifying an unknown function in terms of itself. The range of convergence of this bold(-line) diagrammatic Monte Carlo (BMC) is significantly broader than that…

统计力学 · 物理学 2009-11-13 Nikolay Prokof'ev , Boris Svistunov

Traditional Monte Carlo integration using uniform random sampling exhibits degraded efficiency in low-regularity or high-dimensional problems. We propose a novel deep learning framework based on deterministic number-theoretic sampling…

数值分析 · 数学 2025-07-03 Yu Yang , Pingan He , Xiaoling Peng , Qiaolin He

An explicit Model Predictive Control algorithm for large-scale structured linear systems is presented. We base our results on Distributed and Localized Model Predictive Control (DLMPC), a closed-loop model predictive control scheme based on…

最优化与控制 · 数学 2020-05-29 Carmen Amo Alonso , Nikolai Matni , James Anderson

Computing systems interacting with real-world processes must safely and reliably process uncertain data. The Monte Carlo method is a popular approach for computing with such uncertain values. This article introduces a framework for…

The increasing adoption of Deep Neural Networks (DNNs) has led to their application in many challenging scientific visualization tasks. While advanced DNNs offer impressive generalization capabilities, understanding factors such as model…

Robust POMDPs extend classical POMDPs to incorporate model uncertainty using so-called uncertainty sets on the transition and observation functions, effectively defining ranges of probabilities. Policies for robust POMDPs must be (1)…

Much current research in AI and games is being devoted to Monte Carlo search (MCS) algorithms. While the quest for a single unified MCS algorithm that would perform well on all problems is of major interest for AI, practitioners often know…

人工智能 · 计算机科学 2015-03-20 Francis Maes , David Lupien St-Pierre , Damien Ernst

Deep learning (DL)-based methods have achieved state-of-the-art performance for many medical image segmentation tasks. Nevertheless, recent studies show that deep neural networks (DNNs) can be miscalibrated and overconfident, leading to…

图像与视频处理 · 电气工程与系统科学 2024-06-28 Yidong Zhao , Joao Tourais , Iain Pierce , Christian Nitsche , Thomas A. Treibel , Sebastian Weingärtner , Artur M. Schweidtmann , Qian Tao

Researchers on artificial intelligence have achieved human-level intelligence in large-scale perfect-information games, but it is still a challenge to achieve (nearly) optimal results (in other words, an approximate Nash Equilibrium) in…

人工智能 · 计算机科学 2019-04-09 Li Zhang , Wei Wang , Shijian Li , Gang Pan

We present differentiable predictive control (DPC) as a deep learning-based alternative to the explicit model predictive control (MPC) for unknown nonlinear systems. In the DPC framework, a neural state-space model is learned from…

系统与控制 · 电气工程与系统科学 2021-07-27 Jan Drgona , Karol Kis , Aaron Tuor , Draguna Vrabie , Martin Klauco

Deep learning algorithms have been widely used to solve linear Kolmogorov partial differential equations~(PDEs) in high dimensions, where the loss function is defined as a mathematical expectation. We propose to use the randomized…

数值分析 · 数学 2024-06-25 Jichang Xiao , Fengjiang Fu , Xiaoqun Wang

Monte Carlo Counterfactual Regret Minimization (MCCFR) has emerged as a cornerstone algorithm for solving extensive-form games, but its integration with deep neural networks introduces scale-dependent challenges that manifest differently…

人工智能 · 计算机科学 2026-01-29 Zakaria El Jaafari

Statistical depth functions provide center-outward orderings in spaces of dimension larger than one, where a natural ordering does not exist. The numerical evaluation of such depth functions can be computationally prohibitive, even for…

统计方法学 · 统计学 2025-07-09 Felix Gnettner , Claudia Kirch , Alicia Nieto-Reyes

Determinantal point processes (DPPs) have attracted significant attention in machine learning for their ability to model subsets drawn from a large item collection. Recent work shows that nonsymmetric DPP (NDPP) kernels have significant…

机器学习 · 计算机科学 2021-04-14 Mike Gartrell , Insu Han , Elvis Dohmatob , Jennifer Gillenwater , Victor-Emmanuel Brunel

This study introduces a computationally efficient algorithm, delayed acceptance Markov chain Monte Carlo (DA-MCMC), designed to improve posterior simulation in quasi-Bayesian inference. Quasi-Bayesian methods, which do not require fully…

统计计算 · 统计学 2026-02-16 Masahiro Tanaka

We present a robust Distributed and Localized Model Predictive Control (rDLMPC) framework for large-scale structured linear systems. The proposed algorithm uses the System Level Synthesis to provide a distributed closed-loop model…

最优化与控制 · 数学 2021-03-29 Carmen Amo Alonso , Jing Shuang Li , Nikolai Matni , James Anderson