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Tree-based models are widely recognized for their interpretability and have proven effective in various application domains, particularly in high-stakes domains. However, learning decision trees (DTs) poses a significant challenge due to…

机器学习 · 计算机科学 2026-03-13 Sascha Marton

We study the problem of efficient adversarial attacks on tree based ensembles such as gradient boosting decision trees (GBDTs) and random forests (RFs). Since these models are non-continuous step functions and gradient does not exist, most…

机器学习 · 计算机科学 2020-10-23 Chong Zhang , Huan Zhang , Cho-Jui Hsieh

Decision trees are essential yet NP-complete to train, prompting the widespread use of heuristic methods such as CART, which suffers from sub-optimal performance due to its greedy nature. Recently, breakthroughs in finding optimal decision…

This paper presents a novel method of global adaptive dynamic programming (ADP) for the adaptive optimal control of nonlinear polynomial systems. The strategy consists of relaxing the problem of solving the Hamilton-Jacobi-Bellman (HJB)…

动力系统 · 数学 2017-01-11 Yu Jiang , Zhong-Ping Jiang

Monte Carlo Tree Search (MCTS) is a sampling best-first method to search for optimal decisions. The MCTS's popularity is based on its extraordinary results in the challenging two-player based game Go, a game considered much harder than…

神经与进化计算 · 计算机科学 2021-12-21 Edgar Galván , Gavin Simpson

Quadrotor control policies can be trained with high performance using the exact gradients of the rewards to directly optimize policy parameters via backpropagation-through-time (BPTT). However, designing a fully differentiable reward…

机器人学 · 计算机科学 2025-05-22 Fanxing Li , Fangyu Sun , Tianbao Zhang , Danping Zou

Autoregressive language models demonstrate excellent performance in various scenarios. However, the inference efficiency is limited by its one-step-one-word generation mode, which has become a pressing problem recently as the models become…

计算与语言 · 计算机科学 2025-04-25 Jikai Wang , Yi Su , Juntao Li , Qingrong Xia , Zi Ye , Xinyu Duan , Zhefeng Wang , Min Zhang

In this paper, we present a novel massively parallel algorithm for accelerating the decision tree building procedure on GPUs (Graphics Processing Units), which is a crucial step in Gradient Boosted Decision Tree (GBDT) and random forests…

机器学习 · 统计学 2017-06-27 Huan Zhang , Si Si , Cho-Jui Hsieh

Autoregressive (AR) image models achieve diffusion-level quality but suffer from sequential inference, requiring approximately 2,000 steps for a 576x576 image. Speculative decoding with draft trees accelerates LLMs yet underperforms on…

计算机视觉与模式识别 · 计算机科学 2025-12-29 Haodong Lei , Hongsong Wang , Xin Geng , Liang Wang , Pan Zhou

Decision tree learning is a widely used approach in machine learning, favoured in applications that require concise and interpretable models. Heuristic methods are traditionally used to quickly produce models with reasonably high accuracy.…

Decision trees are a popular machine learning model which are traditionally trained by heuristic methods. Massive improvements in computing power and optimisation techniques has led to renewed interest in learning globally optimal decision…

最优化与控制 · 数学 2025-11-25 Mitchell Keegan , Michael Forbes , Paul Corry , Mahdi Abolghasemi

We introduce a recursive AlphaZero-style Monte--Carlo tree search algorithm, "RMCTS". The advantage of RMCTS over AlphaZero's MCTS-UCB is speed. In RMCTS, the search tree is explored in a breadth-first manner, so that network inferences…

人工智能 · 计算机科学 2026-01-12 Keith Frankston , Benjamin Howard

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…

人工智能 · 计算机科学 2023-05-09 Gongbo Zhang , Yijie Peng , Yilong Xu

We study the problem of reinforcement learning in infinite-horizon discounted linear Markov decision processes (MDPs), and propose the first computationally efficient algorithm achieving rate-optimal regret guarantees in this setting. Our…

机器学习 · 计算机科学 2026-03-16 Antoine Moulin , Gergely Neu , Luca Viano

The general sequential decision-making problem, which includes Markov decision processes (MDPs) and partially observable MDPs (POMDPs) as special cases, aims at maximizing a cumulative reward by making a sequence of decisions based on a…

机器学习 · 计算机科学 2024-02-07 Ruiquan Huang , Yingbin Liang , Jing Yang

We present an extension of Monte Carlo Tree Search (MCTS) that strongly increases its efficiency for trees with asymmetry and/or loops. Asymmetric termination of search trees introduces a type of uncertainty for which the standard upper…

机器学习 · 统计学 2018-05-24 Thomas M. Moerland , Joost Broekens , Aske Plaat , Catholijn M. Jonker

We describe an approximate dynamic programming (ADP) approach to compute approximations of the optimal strategies and of the minimal losses that can be guaranteed in discounted repeated games with vector-valued losses. Such games…

计算机科学与博弈论 · 计算机科学 2020-10-27 Vijay Kamble , Patrick Loiseau , Jean Walrand

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…

最优化与控制 · 数学 2017-04-21 Daniel R. Jiang , Lina Al-Kanj , Warren B. Powell

Tackling simulation optimization problems with non-convex objective functions remains a fundamental challenge in operations research. In this paper, we propose a class of random search algorithms, called Regular Tree Search, which…

最优化与控制 · 数学 2025-06-24 Du-Yi Wang , Guo Liang , Guangwu Liu , Kun Zhang

Gradient Boosted Decision Tree (GBDT) is a widely-used machine learning algorithm that has been shown to achieve state-of-the-art results on many standard data science problems. We are interested in its application to multioutput problems…

机器学习 · 计算机科学 2022-11-24 Leonid Iosipoi , Anton Vakhrushev