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In this note, we develop fast and deterministic dimensionality reduction techniques for a family of subspace approximation problems. Let $P\subset \mathbbm{R}^N$ be a given set of $M$ points. The techniques developed herein find an $O(n…

计算几何 · 计算机科学 2013-12-06 Mark Iwen , Felix Krahmer

We combine ideas from uni-directional and bi-directional heuristic search, and approximation algorithms for the Traveling Salesman Problem, to develop a novel framework for a Multi-Goal Path Finding (MGPF) problem that provides a…

人工智能 · 计算机科学 2021-03-17 Kenny Chour , Sivakumar Rathinam , Ramamoorthi Ravi

The graph coloring problem asks for an assignment of the minimum number of distinct colors to vertices in an undirected graph with the constraint that no pair of adjacent vertices share the same color. The problem is a thoroughly studied…

机器学习 · 计算机科学 2024-08-12 Kenneth Langedal , Fredrik Manne

Modern machine learning algorithms, especially deep learning based techniques, typically involve careful hyperparameter tuning to achieve the best performance. Despite the surge of intense interest in practical techniques like Bayesian…

机器学习 · 计算机科学 2025-05-01 Maria-Florina Balcan , Anh Tuan Nguyen , Dravyansh Sharma

Consider a generalization of the classical binary search problem in linearly sorted data to the graph-theoretic setting. The goal is to design an adaptive query algorithm, called a strategy, that identifies an initially unknown target…

数据结构与算法 · 计算机科学 2020-05-04 Dariusz Dereniowski , Aleksander Łukasiewicz , Przemysław Uznański

The priority model was introduced to capture "greedy-like" algorithms. Motivated by the success of advice complexity in the area of online algorithms, the fixed priority model was extended to include advice, and a reduction-based framework…

数据结构与算法 · 计算机科学 2022-01-27 Joan Boyar , Kim S. Larsen , Denis Pankratov

We present completeness results for inference in Bayesian networks with respect to two different parameterizations, namely the number of variables and the topological vertex separation number. For this we introduce the parameterized…

计算复杂性 · 计算机科学 2022-06-16 Hans Bodlaender , Nils Donselaar , Johan Kwisthout

Both geometric and semantic information of the search space is imperative for a good plan. We encode those properties in a weighted colored graph (geometric information in terms of edge weight and semantic information in terms of edge and…

机器人学 · 计算机科学 2020-12-25 Jaein Lim , Panagiotis Tsiotras

While it is well-known and acknowledged that the performance of graph algorithms is heavily dependent on the input data, there has been surprisingly little research to quantify and predict the impact the graph structure has on performance.…

分布式、并行与集群计算 · 计算机科学 2017-08-04 Merijn Verstraaten , Ana Lucia Varbanescu , Cees de Laat

Constraint programming is known for being an efficient approach for solving combinatorial problems. Important design choices in a solver are the branching heuristics, which are designed to lead the search to the best solutions in a minimum…

人工智能 · 计算机科学 2024-04-17 Tom Marty , Tristan François , Pierre Tessier , Louis Gauthier , Louis-Martin Rousseau , Quentin Cappart

Graph Edit Distance (GED) is a popular similarity measurement for pairwise graphs and it also refers to the recovery of the edit path from the source graph to the target graph. Traditional A* algorithm suffers scalability issues due to its…

机器学习 · 计算机科学 2020-12-03 Runzhong Wang , Tianqi Zhang , Tianshu Yu , Junchi Yan , Xiaokang Yang

This paper introduces Bidirectional Guidance Informed Trees (BIGIT*),~a new asymptotically optimal sampling-based motion planning algorithm. Capitalizing on the strengths of \emph{meet-in-the-middle} property in bidirectional heuristic…

机器人学 · 计算机科学 2024-12-10 Yi Wang , Bingxian Mu

Consider a collection of weighted subsets of a ground set N. Given a query subset Q of N, how fast can one (1) find the weighted sum over all subsets of Q, and (2) sample a subset of Q proportionally to the weights? We present a tree-based…

数据结构与算法 · 计算机科学 2013-09-27 Teppo Niinimaki , Mikko Koivisto

We investigate the fundamental optimization question of minimizing a target function $f$, whose gradients are expensive to compute or have limited availability, given access to some auxiliary side function $h$ whose gradients are cheap or…

机器学习 · 计算机科学 2025-12-19 El Mahdi Chayti , Sai Praneeth Karimireddy

We investigate learning heuristics for domain-specific planning. Prior work framed learning a heuristic as an ordinary regression problem. However, in a greedy best-first search, the ordering of states induced by a heuristic is more…

人工智能 · 计算机科学 2016-08-04 Caelan Reed Garrett , Leslie Pack Kaelbling , Tomas Lozano-Perez

We present three novel graph representations of planning tasks suitable for learning domain-independent heuristics using Graph Neural Networks (GNNs) to guide search. In particular, to mitigate the issues caused by large grounded GNNs we…

人工智能 · 计算机科学 2024-10-29 Dillon Z. Chen , Sylvie Thiébaux , Felipe Trevizan

A major problem in data augmentation is to ensure that the generated new samples cover the search space. This is a challenging problem and requires exploration for data augmentation policies to ensure their effectiveness in covering the…

机器学习 · 计算机科学 2020-10-08 Alireza Naghizadeh , Mohammadsajad Abavisani , Dimitris N. Metaxas

Intelligent autonomous path planning is essential for enhancing the exploration efficiency of mobile robots operating in uneven terrains like planetary surfaces and off-road environments.In this paper, we propose the NNPP model for…

机器人学 · 计算机科学 2024-06-21 Yiming Ji , Yang Liu , Guanghu Xie , Boyu Ma , Zongwu Xie , Baoshi Cao

In this report paper we first present a report of the Advanced Machine Learning Course Project on the provided data set and then present a novel heuristic algorithm for exact Bayesian network (BN) structure discovery that uses decomposable…

人工智能 · 计算机科学 2014-11-26 Amir Arsalan Soltani

A key challenge in satisficing planning is to use multiple heuristics within one heuristic search. An aggregation of multiple heuristic estimates, for example by taking the maximum, has the disadvantage that bad estimates of a single…

人工智能 · 计算机科学 2021-04-13 David Speck , André Biedenkapp , Frank Hutter , Robert Mattmüller , Marius Lindauer