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Hierarchical clustering is a critical task in numerous domains. Many approaches are based on heuristics and the properties of the resulting clusterings are studied post hoc. However, in several applications, there is a natural cost function…

Clustering is one of the widely used techniques to find out patterns from a dataset that can be applied in different applications or analyses. K-means, the most popular and simple clustering algorithm, might get trapped into local minima if…

机器学习 · 计算机科学 2022-10-19 Zillur Rahman , Md. Sabir Hossain , Mohammad Hasan , Ahmed Imteaj

Recently, there has been substantial interest in clustering research that takes a beyond worst-case approach to the analysis of algorithms. The typical idea is to design a clustering algorithm that outputs a near-optimal solution, provided…

数据结构与算法 · 计算机科学 2018-12-31 Maria-Florina Balcan , Colin White

Modern applications of conformal inference to multiple testing problems, such as outlier detection and candidate selection, often involve selecting test samples whose conformal p-values fall below a threshold. The quality of such methods is…

统计方法学 · 统计学 2026-05-21 Ziang Song , Ying Jin , Emmanuel J. Candès

A novel non-parametric estimator of the correlation between grouped measurements of a quantity is proposed in the presence of noise. This work is primarily motivated by functional brain network construction from fMRI data, where brain…

统计方法学 · 统计学 2023-02-16 Hanâ Lbath , Alexander Petersen , Wendy Meiring , Sophie Achard

Recent advances in reinforcement-learning research have demonstrated impressive results in building algorithms that can out-perform humans in complex tasks. Nevertheless, creating reinforcement-learning systems that can build abstractions…

机器学习 · 计算机科学 2022-11-08 Lucas Lehnert , Michael J. Frank , Michael L. Littman

The completeness axiom renders the explanation of a post-hoc XAI method only locally faithful to the model, i.e. for a single decision. For the trustworthy application of XAI, in particular for high-stake decisions, a more global model…

机器学习 · 计算机科学 2023-06-21 Johanna Vielhaben , Stefan Blücher , Nils Strodthoff

Constrained Markov decision processes (CMDPs) model scenarios of sequential decision making with multiple objectives that are increasingly important in many applications. However, the model is often unknown and must be learned online while…

机器学习 · 计算机科学 2023-01-30 Krishna C Kalagarla , Rahul Jain , Pierluigi Nuzzo

The Abstraction and Reasoning Corpus (ARC-AGI) presents a formidable challenge for AI systems. Despite the typically low performance on ARC, the deep learning paradigm remains the most effective known strategy for generating skillful…

人工智能 · 计算机科学 2025-11-03 Jack Cole , Mohamed Osman

We consider the problem where an active Decision-Maker (DM) is tasked to identify the true hypothesis using as few as possible observations while maintaining accuracy. The DM collects observations according to its determined actions and…

信息论 · 计算机科学 2025-04-29 George Vershinin , Asaf Cohen , Omer Gurewitz

This is a brief technical note to clarify some of the issues with applying the application of the algorithm posterior sampling for reinforcement learning (PSRL) in environments without fixed episodes. In particular, this paper aims to: -…

机器学习 · 统计学 2016-08-10 Ian Osband , Benjamin Van Roy

Adaptive sampling with interpolation-based trust regions or ASTRO-DF is a successful algorithm for stochastic derivative-free optimization with an easy-to-understand-and-implement concept that guarantees almost sure convergence to a…

最优化与控制 · 数学 2024-01-18 Yunsoo Ha , Sara Shashaani

We consider the inference problem for high-dimensional linear models, when covariates have an underlying spatial organization reflected in their correlation. A typical example of such a setting is high-resolution imaging, in which…

统计方法学 · 统计学 2021-06-07 Jérôme-Alexis Chevalier , Tuan-Binh Nguyen , Bertrand Thirion , Joseph Salmon

We introduce CoHiRF (Consensus Hierarchical Random Features), a hierarchical consensus framework that enables existing clustering methods to operate beyond their usual computational and memory limits. CoHiRF is a meta-algorithm that…

机器学习 · 计算机科学 2026-02-10 Katia Meziani , Bruno Belucci , Karim Lounici , Vladimir R. Kostic

Deriving value from a conversational AI system depends on the capacity of a user to translate the prior knowledge into a configuration. In most cases, discovering the set of relevant turn-level speaker intents is often one of the key steps.…

计算与语言 · 计算机科学 2024-10-22 Mrinal Rawat , Hithesh Sankararaman , Victor Barres

We present an adaptive trust-region method for unconstrained optimization that allows inexact solutions to the trust-region subproblems. Our method is a simple variant of the classical trust-region method of \citet{sorensen1982newton}. The…

最优化与控制 · 数学 2025-08-27 Fadi Hamad , Oliver Hinder

Clustering and visualizing high-dimensional (HD) data are important tasks in a variety of fields. For example, in bioinformatics, they are crucial for analyses of single-cell data such as mass cytometry (CyTOF) data. Some of the most…

定量方法 · 定量生物学 2021-07-19 Joshua M. Scurll

We review recently proposed Bayesian approaches for clustering high-dimensional data. After identifying the main limitations of available approaches, we introduce an alternative framework based on vertical consensus inference (VCI) to…

统计方法学 · 统计学 2026-03-31 Khai Nguyen , Yang Ni , Peter Mueller

Conventional cluster-robust inference can be invalid when data contain clusters of unignorably large size. We formalize this issue by deriving a necessary and sufficient condition for its validity, and show that this condition is frequently…

计量经济学 · 经济学 2025-10-07 Harold D. Chiang , Yuya Sasaki , Yulong Wang

Clustered standard errors and approximate randomization tests are popular inference methods that allow for dependence within observations. However, they require researchers to know the cluster structure ex ante. We propose a procedure to…

计量经济学 · 经济学 2022-01-14 Yong Cai