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We use a Bayesian approach to optimally solve problems in noisy binary search. We deal with two variants: 1. Each comparison can be erroneous with some probability $1 - p$. 2. At each stage $k$ comparisons can be performed in parallel and a…

量子物理 · 物理学 2011-11-09 M. Ben-Or , Avinatan Hassidim

Adaptive tracking-by-detection approaches are popular for tracking arbitrary objects. They treat the tracking problem as a classification task and use online learning techniques to update the object model. However, these approaches are…

计算机视觉与模式识别 · 计算机科学 2017-04-04 Kourosh Meshgi , Maryam Sadat Mirzaei , Shigeyuki Oba , Shin Ishii

We introduce a model-based asynchronous multi-fidelity method for hyperparameter and neural architecture search that combines the strengths of asynchronous Hyperband and Gaussian process-based Bayesian optimization. At the heart of our…

机器学习 · 计算机科学 2020-07-01 Aaron Klein , Louis C. Tiao , Thibaut Lienart , Cedric Archambeau , Matthias Seeger

Change point estimation is often formulated as a search for the maximum of a gain function describing improved fits when segmenting the data. Searching through all candidates requires $O(n)$ evaluations of the gain function for an interval…

统计方法学 · 统计学 2024-11-22 Solt Kovács , Housen Li , Lorenz Haubner , Axel Munk , Peter Bühlmann

We propose a dynamic spectrum access scheme where secondary users recommend "good" channels to each other and access accordingly. We formulate the problem as an average reward based Markov decision process. We show the existence of the…

分布式、并行与集群计算 · 计算机科学 2011-07-14 Xu Chen , Jianwei Huang , Husheng Li

This paper presents a data-driven model predictive control framework for mobile robots navigating in dynamic environments, leveraging Koopman operator theory. Unlike the conventional Koopman-based approaches that focus on the linearization…

机器人学 · 计算机科学 2025-10-06 Mohammad Abtahi , Navid Mojahed , Shima Nazari

A quantum algorithm for combinatorial search is presented that provides a simple framework for utilizing search heuristics. The algorithm is evaluated in a new case that is an unstructured version of the graph coloring problem. It performs…

量子物理 · 物理学 2009-10-06 Tad Hogg

Comparability graphs are the undirected graphs whose edges can be directed so that the resulting directed graph is transitive. They are related to posets and have applications in scheduling theory. This paper considers the problem of…

数据结构与算法 · 计算机科学 2015-03-11 Marc Tedder

The graph based approach to multiple testing is an intuitive method that enables a study team to represent clearly, through a directed graph, its priorities for hierarchical testing of multiple hypotheses, and for propagating the available…

统计方法学 · 统计学 2025-01-07 Cyrus Mehta , Ajoy Mukhopadhyay , Martin Posch

We present a simple $O(n^4)$-time algorithm for computing optimal search trees with two-way comparisons. The only previous solution to this problem, by Anderson et al., has the same running time, but is significantly more complicated and is…

数据结构与算法 · 计算机科学 2022-02-14 Marek Chrobak , Mordecai Golin , J. Ian Munro , Neal E. Young

Bi-directional search is a widely used strategy to increase the success and convergence rates of sampling-based motion planning algorithms. Yet, few results are available that merge both bi-directional search and asymptotic optimality into…

机器人学 · 计算机科学 2016-01-05 Joseph A. Starek , Javier V. Gomez , Edward Schmerling , Lucas Janson , Luis Moreno , Marco Pavone

We present new algorithms to perform fast probabilistic collision queries between convex as well as non-convex objects. Our approach is applicable to general shapes, where one or more objects are represented using Gaussian probability…

机器人学 · 计算机科学 2016-10-13 Jae Sung Park , Chonhyon Park , Dinesh Manocha

Fast, autonomous flight in unstructured, cluttered environments such as forests is challenging because it requires the robot to compute new plans in realtime on a computationally-constrained platform. In this paper, we enable this…

机器人学 · 计算机科学 2022-03-04 Laura Jarin-Lipschitz , Xu Liu , Yuezhan Tao , Vijay Kumar

The problem of searching for an unknown object occurs in important applications ranging from security, medicine and defense. Sensors with the capability to process information rapidly require adaptive algorithms to control their search in…

信息论 · 计算机科学 2015-08-18 Huanyu Ding , David A. Castañón

This paper is concerned with determining the shortest path for a pursuer aiming to intercept a moving target travelling at a constant speed. To address this challenge, we introduce an efficient mathematical model outlined as an optimal…

最优化与控制 · 数学 2025-01-28 M. Akter , M. M. Rizvi , M. Forkan

Matching dynamical systems, through different forms of conjugacies and equivalences, has long been a fundamental concept, and a powerful tool, in the study and classification of nonlinear dynamic behavior (e.g. through normal forms). In…

动力系统 · 数学 2018-03-08 Erik M. Bollt , Qianxiao Li , Felix Dietrich , Ioannis Kevrekidis

The problem of universal search and stop using an adaptive search policy is considered. When the target location is searched, the observation is distributed according to the target distribution, otherwise it is distributed according to the…

统计理论 · 数学 2014-12-17 Sirin Nitinawarat , Venugopal V. Veeravalli

Group testing is a well known search problem that consists in detecting the defective members of a set of objects O by performing tests on properly chosen subsets (pools) of the given set O. In classical group testing the goal is to find…

数据结构与算法 · 计算机科学 2016-06-13 Annalisa De Bonis

Precision matrix, which is the inverse of covariance matrix, plays an important role in statistics, as it captures the partial correlation between variables. Testing the equality of two precision matrices in high dimensional setting is a…

统计方法学 · 统计学 2018-10-23 Mingjuan Zhang , Yong He , Cheng Zhou , Xinsheng Zhang

The Traveling Salesman Problem (TSP) is the most popular and most studied combinatorial problem, starting with von Neumann in 1951. It has driven the discovery of several optimization techniques such as cutting planes, branch-and-bound,…

机器学习 · 计算机科学 2021-03-05 Xavier Bresson , Thomas Laurent