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Continuous improvement in medical imaging techniques allows the acquisition of higher-resolution images. When these are used in a predictive setting, a greater number of explanatory variables are potentially related to the dependent…

统计理论 · 数学 2019-03-13 Tuan-Binh Nguyen , Jérôme-Alexis Chevalier , Bertrand Thirion

We study the $(\varepsilon, \delta)$-PAC policy identification problem in finite-horizon episodic Markov Decision Processes. Existing approaches provide finite-time guarantees for approximate settings ($\varepsilon>0$) but suffer from high…

机器学习 · 计算机科学 2026-05-06 Cyrille Kone , Kevin Jamieson

Generalized belief propagation (GBP) has proven to be a promising technique for approximate inference tasks in AI and machine learning. However, the choice of a good set of clusters to be used in GBP has remained more of an art then a…

人工智能 · 计算机科学 2012-07-19 Max Welling

The validity of statistical inference depends critically on how data are collected. When data gathered through active data collection (ADC) are reused for a post-hoc inferential task, conventional inference can fail because the sampling is…

机器学习 · 统计学 2026-05-13 Shuichi Nishino , Tomohiro Shiraishi , Teruyuki Katsuoka , Ichiro Takeuchi

The applicability of agglomerative clustering, for inferring both hierarchical and flat clustering, is limited by its scalability. Existing scalable hierarchical clustering methods sacrifice quality for speed and often lead to over-merging…

This paper studies high-dimensional sparse clustering, a combinatorial NP-hard problem arising from the bilinear coupling between cluster assignment and feature selection. We analyze semidefinite programming (SDP) relaxations of $K$-means…

统计方法学 · 统计学 2026-02-17 Jongmin Mun , Paromita Dubey , Yingying Fan

Finding a better feasible solution in a shorter time is an integral part of solving Mixed Integer Programs. We present a post-hoc method based on Neural Diving to build heuristics more flexibly. We hypothesize that variables with higher…

最优化与控制 · 数学 2022-03-16 Taehyun Yoon

Albeit the tremendous performance improvements in designing complex artificial intelligence (AI) systems in data-intensive domains, the black-box nature of these systems leads to the lack of trustworthiness. Post-hoc interpretability…

机器学习 · 计算机科学 2022-04-25 Aditya Saini , Ranjitha Prasad

Online decision making under uncertainty in partially observable domains, also known as Belief Space Planning, is a fundamental problem in robotics and Artificial Intelligence. Due to an abundance of plausible future unravelings,…

人工智能 · 计算机科学 2023-02-15 Andrey Zhitnikov , Vadim Indelman

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

信息论 · 计算机科学 2025-10-01 George Vershinin , Asaf Cohen , Omer Gurewitz

This thesis is dedicated to the statistical analysis of multi-sub ject fMRI data, with the purpose of identifying bain structures involved in certain cognitive or sensori-motor tasks, in a reproducible way across sub jects. To overcome…

应用统计 · 统计学 2010-05-19 Merlin Keller , Alexis Roche , Marc Lavielle

Post-hoc calibration is usually evaluated as a function of logits or softmax confidence alone, even as routing-augmented architectures increasingly accompany predictions with sample-specific internal routing traces and pair them with claims…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Wenhao Liang , Lin Yue , Wei Emma Zhang , Miao Xu , Mingyu Guo , Olaf Maennel , Weitong Chen

We propose a new analysis framework for clustering $M$ items into an unknown number of $K$ distinct groups using noisy and actively collected responses. At each time step, an agent is allowed to query pairs of items and observe bandit…

机器学习 · 计算机科学 2026-02-06 Rachel S. Y. Teo , P. N. Karthik , Ramya Korlakai Vinayak , Vincent Y. F. Tan

Autonomous robots operating in dynamic environments must maintain beliefs over a hypothesis space that is rich enough to represent the activities of interest at different scales. This is important both in order to accommodate the…

人工智能 · 计算机科学 2016-07-26 Majd Hawasly , Florian T. Pokorny , Subramanian Ramamoorthy

We present a new active learning algorithm that adaptively partitions the input space into a finite number of regions, and subsequently seeks a distinct predictor for each region, both phases actively requesting labels. We prove theoretical…

机器学习 · 计算机科学 2020-02-19 Corinna Cortes , Giulia DeSalvo , Claudio Gentile , Mehryar Mohri , Ningshan Zhang

We study graph clustering in the Stochastic Block Model (SBM) in the presence of both large clusters and small, unrecoverable clusters. Previous convex relaxation approaches achieving exact recovery do not allow any small clusters of size…

机器学习 · 计算机科学 2025-02-25 Matthew Zurek , Yudong Chen

We address the problem of clustering a set of points in $\mathbb{R}^d$ with axis-parallel clusters. Previous exact approaches to this problem are mostly based on integer programming formulations and can only solve to optimality instances of…

离散数学 · 计算机科学 2024-10-16 Diego Delle Donne , Javier Marenco , Eduardo Moreno

In this paper, we focus on how to locate the relevant or discriminative brain regions related with external stimulus or certain mental decease, which is also called support identification, based on the neuroimaging data. The main difficulty…

计算机视觉与模式识别 · 计算机科学 2015-06-09 Yilun Wang , Sheng Zhang , Junjie Zheng , Heng Chen , Huafu Chen

We present a massive-parallel implementation of the resolution-of-identity (RI) coupled-cluster approach that includes single, double and perturbatively triple excitations, namely RI-CCSD(T), in the FHI-aims package for molecular systems. A…

计算物理 · 物理学 2018-10-19 Tonghao Shen , Igor Ying Zhang , Matthias Scheffler

An accelerated class of adaptive scheme of iterative thresholding algorithms is studied analytically and empirically. They are based on the feedback mechanism of the null space tuning techniques (NST+HT+FB). The main contribution of this…

信息论 · 计算机科学 2020-05-15 Ningning Han , Shidong Li , Zhanjie Song