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Decision Trees (DTs) are widely used in safety-critical domains such as medical diagnosis, valued for their interpretability and effectiveness on tabular data. However, training accurate oblique DTs is challenging due to complex…

机器学习 · 计算机科学 2026-05-11 Subrat Prasad Panda , Blaise Genest , Arvind Easwaran

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

统计方法学 · 统计学 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan

We study the problem of deployment efficient reinforcement learning (RL) with linear function approximation under the \emph{reward-free} exploration setting. This is a well-motivated problem because deploying new policies is costly in…

机器学习 · 计算机科学 2023-02-23 Dan Qiao , Yu-Xiang Wang

We study the computational power of polynomial threshold functions, that is, threshold functions of real polynomials over the boolean cube. We provide two new results bounding the computational power of this model. Our first result shows…

计算复杂性 · 计算机科学 2009-11-29 Ido Ben-Eliezer , Shachar Lovett , Ariel Yadin

We study meta-reinforcement learning in finite-horizon MDPs where related tasks share similar structures in their optimal action-value functions. Specifically, we posit a linear representation $Q^*_h(s,a)=\Phi_h(s,a)\,\theta^{(k)}_h$ and…

机器学习 · 计算机科学 2025-10-08 Runlin Zhou , Chixiang Chen , Elynn Chen

Inconsistent values are commonly encountered in real-world applications, which can negatively impact data analysis and decision-making. While existing research primarily focuses on identifying the smallest removal set to resolve…

数据结构与算法 · 计算机科学 2025-12-23 Haoda Li , Jiahui Chen , Yu Sun , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan

Considering the worst-case scenario, junction tree algorithm remains the most general solution for exact MAP inference with polynomial run-time guarantees. Unfortunately, its main tractability assumption requires the treewidth of a…

离散数学 · 计算机科学 2022-02-10 Alexander Bauer , Shinichi Nakajima

Local consistency arises in diverse areas, including Bayesian statistics, relational databases, and quantum foundations, and so does the notion of functional dependence. We adopt a general approach to study logical inference in a setting…

量子物理 · 物理学 2026-02-24 Timon Barlag , Miika Hannula , Juha Kontinen , Nina Pardal , Jonni Virtema

Recent advances in mechanistic interpretability have highlighted the potential of automating interpretability pipelines in analyzing the latent representations within LLMs. While this may enhance our understanding of internal mechanisms,…

Temporal difference (TD) learning with linear function approximation (linear TD) is a classic and powerful prediction algorithm in reinforcement learning. While it is well-understood that linear TD converges almost surely to a unique point,…

机器学习 · 计算机科学 2026-03-25 Jiuqi Wang , Shangtong Zhang

We propose a simple generalization of standard and empirically successful decision tree learning algorithms such as ID3, C4.5, and CART. These algorithms, which have been central to machine learning for decades, are greedy in nature: they…

机器学习 · 计算机科学 2023-10-27 Guy Blanc , Jane Lange , Chirag Pabbaraju , Colin Sullivan , Li-Yang Tan , Mo Tiwari

Approximate linear programs (ALPs) are well-known models based on value function approximations (VFAs) to obtain policies and lower bounds on the optimal policy cost of discounted-cost Markov decision processes (MDPs). Formulating an ALP…

机器学习 · 计算机科学 2021-10-13 Parshan Pakiman , Selvaprabu Nadarajah , Negar Soheili , Qihang Lin

We study gap-dependent performance guarantees for nearly minimax-optimal algorithms in reinforcement learning with linear function approximation. While prior works have established gap-dependent regret bounds in this setting, existing…

机器学习 · 统计学 2026-02-25 Haochen Zhang , Zhong Zheng , Lingzhou Xue

Algorithms that ensure reproducible findings from large-scale, high-dimensional data are pivotal in numerous signal processing applications. In recent years, multivariate false discovery rate (FDR) controlling methods have emerged,…

统计方法学 · 统计学 2024-01-31 Jasin Machkour , Michael Muma , Daniel P. Palomar

A classical problem in causal inference is that of matching, where treatment units need to be matched to control units based on covariate information. In this work, we propose a method that computes high quality almost-exact matches for…

Hardness results for maximum agreement problems have close connections to hardness results for proper learning in computational learning theory. In this paper we prove two hardness results for the problem of finding a low degree polynomial…

机器学习 · 计算机科学 2010-10-19 Ilias Diakonikolas , Ryan O'Donnell , Rocco A. Servedio , Yi Wu

Using tail bounds, we introduce a new probabilistic condition for function estimation in stochastic derivative-free optimization which leads to a reduction in the number of samples and eases algorithmic analyses. Moreover, we develop simple…

最优化与控制 · 数学 2023-06-16 Francesco Rinaldi , Luis Nunes Vicente , Damiano Zeffiro

In the recent years, researchers proposed a number of successful methods to perform out-of-distribution (OOD) detection in deep neural networks (DNNs). So far the scope of the highly accurate methods has been limited to image level…

计算机视觉与模式识别 · 计算机科学 2021-04-01 Ertunc Erdil , Krishna Chaitanya , Neerav Karani , Ender Konukoglu

Given partially observed pairwise comparison data generated by the Bradley-Terry-Luce (BTL) model, we study the problem of top-$k$ ranking. That is, to optimally identify the set of top-$k$ players. We derive the minimax rate with respect…

统计理论 · 数学 2021-07-16 Pinhan Chen , Chao Gao , Anderson Y. Zhang

Clinical prediction from structured electronic health records (EHRs) is challenging due to high dimensionality, heterogeneity, class imbalance, and distribution shift. While tabular in-context learning (TICL) and retrieval-augmented methods…