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Symbolic regression aims to discover concise, interpretable mathematical expressions that satisfy desired objectives, such as fitting data, posing a highly combinatorial optimization problem. While genetic programming has been the dominant…

机器学习 · 计算机科学 2025-09-25 Zhengyao Huang , Daniel Zhengyu Huang , Tiannan Xiao , Dina Ma , Zhenyu Ming , Hao Shi , Yuanhui Wen

We consider root-finding algorithms for random rooted trees grown by uniform attachment. Given an unlabeled copy of the tree and a target accuracy $\varepsilon > 0$, such an algorithm outputs a set of nodes that contains the root with…

数据结构与算法 · 计算机科学 2024-11-28 Louigi Addario-Berry , Catherine Fontaine , Robin Khanfir , Louis-Roy Langevin , Simone Têtu

Fixed-budget best-arm identification (BAI) is a bandit problem where the agent maximizes the probability of identifying the optimal arm within a fixed budget of observations. In this work, we study this problem in the Bayesian setting. We…

机器学习 · 计算机科学 2023-06-16 Alexia Atsidakou , Sumeet Katariya , Sujay Sanghavi , Branislav Kveton

In pure-exploration problems, information is gathered sequentially to answer a question on the stochastic environment. While best-arm identification for linear bandits has been extensively studied in recent years, few works have been…

机器学习 · 统计学 2022-06-10 Marc Jourdan , Rémy Degenne

We study the best-arm identification problem in sparse linear bandits under the fixed-budget setting. In sparse linear bandits, the unknown feature vector $\theta^*$ may be of large dimension $d$, but only a few, say $s \ll d$ of these…

机器学习 · 计算机科学 2023-11-02 Recep Can Yavas , Vincent Y. F. Tan

We study best-arm identification in stochastic multi-armed bandits under the fixed-confidence setting, focusing on instances with multiple optimal arms. Unlike prior work that addresses the unknown-number-of-optimal-arms case, we consider…

机器学习 · 计算机科学 2026-03-05 Lan V. Truong

We lay the foundations of a non-parametric theory of best-arm identification in multi-armed bandits with a fixed budget T. We consider general, possibly non-parametric, models D for distributions over the arms; an overarching example is the…

机器学习 · 计算机科学 2023-02-07 Antoine Barrier , Aurélien Garivier , Gilles Stoltz

Recent research suggests that tree search algorithms (e.g. Monte Carlo Tree Search) can dramatically boost LLM performance on complex mathematical reasoning tasks. However, they often require more than 10 times the computational resources…

计算与语言 · 计算机科学 2024-07-02 Ante Wang , Linfeng Song , Ye Tian , Baolin Peng , Dian Yu , Haitao Mi , Jinsong Su , Dong Yu

We consider fixed-budget best-arm identification in two-armed Gaussian bandit problems. One of the longstanding open questions is the existence of an optimal strategy under which the probability of misidentification matches a lower bound.…

机器学习 · 统计学 2023-01-02 Masahiro Kato , Kaito Ariu , Masaaki Imaizumi , Masahiro Nomura , Chao Qin

Non-prehensile multi-object rearrangement is a robotic task of planning feasible paths and transferring multiple objects to their predefined target poses without grasping. It needs to consider how each object reaches the target and the…

机器人学 · 计算机科学 2021-09-21 Fan Bai , Fei Meng , Jianbang Liu , Jiankun Wang , Max Q. -H. Meng

This paper proposes a novel reinforcement learning (RL) algorithm using improved Monte Carlo tree search (IMCTS) formulation for discrete optimum design of truss structures. IMCTS with multiple root nodes includes update process, the best…

人工智能 · 计算机科学 2024-08-08 Fu-Yao Ko , Katsuyuki Suzuki , Kazuo Yonekura

We consider a variant of the best arm identification task in stochastic multi-armed bandits. Motivated by risk-averse decision-making problems, our goal is to identify a set of $m$ arms with the highest $\tau$-quantile values within a fixed…

机器学习 · 计算机科学 2023-02-22 Mengyan Zhang , Cheng Soon Ong

We consider the problem of using a heuristic policy to improve the value approximation by the Upper Confidence Bound applied in Trees (UCT) algorithm in non-adversarial settings such as planning with large-state space Markov Decision…

人工智能 · 计算机科学 2012-06-27 Truong-Huy Dinh Nguyen , Wee-Sun Lee , Tze-Yun Leong

The combination of Monte-Carlo tree search (MCTS) with deep reinforcement learning has led to significant advances in artificial intelligence. However, AlphaZero, the current state-of-the-art MCTS algorithm, still relies on handcrafted…

Popular Monte-Carlo tree search (MCTS) algorithms for online planning, such as epsilon-greedy tree search and UCT, aim at rapidly identifying a reasonably good action, but provide rather poor worst-case guarantees on performance improvement…

人工智能 · 计算机科学 2013-09-27 Zohar Feldman , Carmel Domshlak

Real-world multimodal misinformation often arises from mixed forgery sources, requiring dynamic reasoning and adaptive verification. However, existing methods mainly rely on static pipelines and limited tool usage, limiting their ability to…

计算与语言 · 计算机科学 2025-11-18 Xing Cui , Yueying Zou , Zekun Li , Peipei Li , Xinyuan Xu , Xuannan Liu , Huaibo Huang

We study the fixed-budget best-arm identification (BAI) problem in non-stationary linear bandits. Concretely, given a fixed time budget $T\in \mathbb{N}$, finite arm set $\mathcal{X} \subset \mathbb{R}^d$, and a potentially adversarial…

机器学习 · 统计学 2026-03-12 Leo Maynard-Zhang , Zhihan Xiong , Kevin Jamieson , Maryam Fazel

A recent theoretical analysis of a Monte-Carlo tree search (MCTS) method properly modified from the ``upper confidence bound applied to trees" (UCT) algorithm established a surprising result, due to a great deal of empirical successes…

最优化与控制 · 数学 2025-02-04 Hyeong Soo Chang

Active Reinforcement Learning (ARL) is a twist on RL where the agent observes reward information only if it pays a cost. This subtle change makes exploration substantially more challenging. Powerful principles in RL like optimism, Thompson…

机器学习 · 计算机科学 2018-03-28 Sebastian Schulze , Owain Evans

Symbolic task planning for robots is computationally challenging due to the combinatorial complexity of the possible action space. This fact is amplified if there are several sub-goals to be achieved due to the increased length of the…

机器人学 · 计算机科学 2023-07-25 Kai Pfeiffer , Leonardo Edgar , Quang-Cuong Pham