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We frame the meta-learning of prediction procedures as a search for an optimal strategy in a two-player game. In this game, Nature selects a prior over distributions that generate labeled data consisting of features and an associated…

机器学习 · 统计学 2020-09-29 Alex Luedtke , Incheoul Chung , Oleg Sofrygin

Graph neural networks have been successful for machine learning, as well as for combinatorial and graph problems such as the Subgraph Isomorphism Problem and the Traveling Salesman Problem. We describe an approach for computing graph…

机器学习 · 计算机科学 2023-11-20 Alvin Chiu , Mithun Ghosh , Reyan Ahmed , Kwang-Sung Jun , Stephen Kobourov , Michael T. Goodrich

Conditional Monte Carlo or pre-integration is a powerful tool for reducing variance and improving the regularity of integrands when using Monte Carlo and quasi-Monte Carlo (QMC) methods. To select the variable to pre-integrate, one must…

统计计算 · 统计学 2023-07-26 Sifan Liu

Multiobjective combinatorial optimization (MOCO) problems can be found in many real-world applications. However, exactly solving these problems would be very challenging, particularly when they are NP-hard. Many handcrafted heuristic…

机器学习 · 计算机科学 2022-05-10 Xi Lin , Zhiyuan Yang , Qingfu Zhang

Finding valid light paths that involve specular vertices in Monte Carlo rendering requires solving many non-linear, transcendental equations in high-dimensional space. Existing approaches heavily rely on Newton iterations in path space,…

图形学 · 计算机科学 2024-05-24 Zhimin Fan , Jie Guo , Yiming Wang , Tianyu Xiao , Hao Zhang , Chenxi Zhou , Zhenyu Chen , Pengpei Hong , Yanwen Guo , Ling-Qi Yan

Maneuver decision-making can be regarded as a Markov decision process and can be address by reinforcement learning. However, original reinforcement learning algorithms can hardly solve the maneuvering decision-making problem. One reason is…

人工智能 · 计算机科学 2023-09-19 Zhang Hong-Peng

Combinatorial optimization problems are central to both practical applications and the development of optimization methods. While classical and quantum algorithms have been refined over decades, machine learning--assisted approaches are…

无序系统与神经网络 · 物理学 2026-05-12 Luca Maria Del Bono , Federico Ricci-Tersenghi , Francesco Zamponi

In this paper, we present the Monte-Carlo Compressive Optimization algorithm, a new method to solve a combinatorial optimization problem that is assumed compressible. The method relies on random queries to the objective function in order to…

最优化与控制 · 数学 2025-10-30 Baptiste Chevalier , Shimpei Yamaguchi , Wojciech Roga , Masahiro Takeoka

Many traditional algorithms for solving combinatorial optimization problems involve using hand-crafted heuristics that sequentially construct a solution. Such heuristics are designed by domain experts and may often be suboptimal due to the…

机器学习 · 计算机科学 2020-12-25 Nina Mazyavkina , Sergey Sviridov , Sergei Ivanov , Evgeny Burnaev

With the goal to provide absolute lower bounds for the best possible running times that can be achieved by $(1+\lambda)$-type search heuristics on common benchmark problems, we recently suggested a dynamic programming approach that computes…

神经与进化计算 · 计算机科学 2021-02-24 Kirill Antonov , Maxim Buzdalov , Arina Buzdalova , Carola Doerr

We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average. This is done by exploiting the same aspects of problem…

量子物理 · 物理学 2007-05-23 Tad Hogg

We introduce an algorithm for combinatorial search on quantum computers that is capable of significantly concentrating amplitude into solutions for some NP search problems, on average. This is done by exploiting the same aspects of problem…

人工智能 · 计算机科学 2009-09-25 T. Hogg

We study a method, Extra Chance Generalized Hybrid Monte Carlo, to avoid rejections in the Hybrid Monte Carlo method and related algorithms. In the spirit of delayed rejection, whenever a rejection would occur, extra work is done to find a…

概率论 · 数学 2014-10-29 Cédric M. Campos , J. M. Sanz-Serna

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…

机器学习 · 计算机科学 2024-10-10 Jakob Hartmann , Guoliang He , Eiko Yoneki

We explain in detail how to estimate mean values and assess statistical errors for arbitrary functions of elementary observables in Monte Carlo simulations. The method is to estimate and sum the relevant autocorrelation functions, which is…

高能物理 - 格点 · 物理学 2009-09-29 Ulli Wolff

We consider a wide range of matrix models and study them using the Monte Carlo technique in the large $N$ limit. The results we obtain agree with exact analytic expressions and recent numerical bootstrap methods for models with one and two…

高能物理 - 理论 · 物理学 2022-04-05 Raghav G. Jha

Hamiltonian Monte Carlo is a widely used algorithm for sampling from posterior distributions of complex Bayesian models. It can efficiently explore high-dimensional parameter spaces guided by simulated Hamiltonian flows. However, the…

统计计算 · 统计学 2019-04-29 Lingge Li , Andrew Holbrook , Babak Shahbaba , Pierre Baldi

We propose Monte Carlo Permutation Search (MCPS), a general-purpose Monte Carlo Tree Search (MCTS) algorithm that improves upon the GRAVE algorithm. MCPS is relevant when deep reinforcement learning is not an option or when the computing…

机器学习 · 计算机科学 2026-05-27 Tristan Cazenave

Neural combinatorial optimization (NCO) is a promising learning-based approach to solving various vehicle routing problems without much manual algorithm design. However, the current NCO methods mainly focus on the in-distribution…

机器学习 · 计算机科学 2024-05-22 Fei Liu , Xi Lin , Weiduo Liao , Zhenkun Wang , Qingfu Zhang , Xialiang Tong , Mingxuan Yuan

In this paper, we model one-day international cricket games as Markov processes, applying forward and inverse Reinforcement Learning (RL) to develop three novel tools for the game. First, we apply Monte-Carlo learning to fit a nonlinear…

机器学习 · 计算机科学 2021-03-09 Manohar Vohra , George S. D. Gordon