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In this paper, first we give a sequential linear-time algorithm for the longest path problem in meshes. This algorithm can be considered as an improvement of [13]. Then based on this sequential algorithm, we present a constant-time parallel…

Data Structures and Algorithms · Computer Science 2012-01-24 Fatemeh Keshavarz-Kohjerdi , Alireza Bagheri

Let $n$ denote the number of elements currently in a data structure. An in-place heap is stored in the first $n$ locations of an array, uses $O(1)$ extra space, and supports the operations: minimum, insert, and extract-min. We introduce an…

Data Structures and Algorithms · Computer Science 2014-07-15 Stefan Edelkamp , Jyrki Katajainen , Amr Elmasry

We consider the classical makespan minimization scheduling problem where $n$ jobs must be scheduled on $m$ identical machines. Using weighted random sampling, we developed two sublinear time approximation schemes: one for the case where $n$…

Data Structures and Algorithms · Computer Science 2026-05-05 Bin Fu , Yumei Huo , Hairong Zhao

Many consensus string problems are based on Hamming distance. We replace Hamming distance by the more flexible (e.g., easily coping with different input string lengths) dynamic time warping distance, best known from applications in time…

Discrete Mathematics · Computer Science 2020-02-05 Nathan Schaar , Vincent Froese , Rolf Niedermeier

The problem of constructing a dataset for MLIP development which gives the maximum quality in the minimum amount of compute time is complex, and can be approached in a number of ways. We introduce a ``Bayesian selection" approach for…

Materials Science · Physics 2025-06-23 Thomas Rocke , James Kermode

The Median of Medians (also known as BFPRT) algorithm, although a landmark theoretical achievement, is seldom used in practice because it and its variants are slower than simple approaches based on sampling. The main contribution of this…

Data Structures and Algorithms · Computer Science 2016-08-05 Andrei Alexandrescu

Anytime heuristic search algorithms try to find a (potentially suboptimal) solution as quickly as possible and then work to find better and better solutions until an optimal solution is obtained or time is exhausted. The most widely-known…

Artificial Intelligence · Computer Science 2023-12-21 Sofia Lemons , Wheeler Ruml , Robert C. Holte , Carlos Linares López

We consider binary dispatching problem originating from object oriented programming. We want to preprocess a hierarchy of classes and collection of methods so that given a function call in the run-time we are able to retrieve the most…

Data Structures and Algorithms · Computer Science 2012-02-28 Pawel Gawrychowski

Stacking is a widely used model averaging technique that asymptotically yields optimal predictions among linear averages. We show that stacking is most effective when model predictive performance is heterogeneous in inputs, and we can…

Methodology · Statistics 2021-10-29 Yuling Yao , Gregor Pirš , Aki Vehtari , Andrew Gelman

Explorable heap selection is the problem of selecting the $n$th smallest value in a binary heap. The key values can only be accessed by traversing through the underlying infinite binary tree, and the complexity of the algorithm is measured…

Data Structures and Algorithms · Computer Science 2024-09-12 Sander Borst , Daniel Dadush , Sophie Huiberts , Danish Kashaev

Position heaps are index structures of text strings used for the string matching problem. They are rooted trees whose edges and nodes are labeled and numbered, respectively. This paper is concerned with variants of the inverse problem of…

Data Structures and Algorithms · Computer Science 2022-12-13 Koshiro Kumagai , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

Subsequence-based time series classification algorithms provide accurate and interpretable models, but training these models is extremely computation intensive. The asymptotic time complexity of subsequence-based algorithms remains a…

Machine Learning · Computer Science 2021-02-18 Atif Raza , Stefan Kramer

A fast algorithm to study one-dimensional self-gravitating systems, and, more generally, systems that are Lagrangian integrable between collisions, is presented. The algorithm is event-driven, and uses a heap-ordered set of predicted future…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alain Noullez , Duccio Fanelli , Erik Aurell

For the problem of binary linear classification and feature selection, we propose algorithmic approaches to classifier design based on the generalized approximate message passing (GAMP) algorithm, recently proposed in the context of…

Information Theory · Computer Science 2015-06-18 Justin Ziniel , Philip Schniter , Per Sederberg

We propose a hierarchical architecture for efficiently computing high-quality solutions to structured mixed-integer programs (MIPs). To reduce computational effort, our approach decouples the original problem into a higher level problem and…

Optimization and Control · Mathematics 2025-12-04 Stefan Clarke , Bartolomeo Stellato

We tackle the problem of multi-class relational sequence learning using relevant patterns discovered from a set of labelled sequences. To deal with this problem, firstly each relational sequence is mapped into a feature vector using the…

Artificial Intelligence · Computer Science 2010-06-29 Nicola Di Mauro , Teresa M. A. Basile , Stefano Ferilli , Floriana Esposito

Decision trees are well-known due to their ease of interpretability. To improve accuracy, we need to grow deep trees or ensembles of trees. These are hard to interpret, offsetting their original benefits. Shapley values have recently become…

Machine Learning · Computer Science 2023-01-26 Peng Yu , Chao Xu , Albert Bifet , Jesse Read

The heap is a basic data structure used in a wide variety of applications, including shortest path and minimum spanning tree algorithms. In this paper we explore the design space of comparison-based, amortized-efficient heap…

Data Structures and Algorithms · Computer Science 2009-03-03 Bernhard Haeupler , Siddhartha Sen , Robert E. Tarjan

Deep learning-based grasp prediction models have become an industry standard for robotic bin-picking systems. To maximize pick success, production environments are often equipped with several end-effector tools that can be swapped…

Robotics · Computer Science 2023-02-17 Khashayar Rohanimanesh , Jake Metzger , William Richards , Aviv Tamar

This paper shows experimental results on learning based randomized bin-picking combined with iterative visual recognition. We use the random forest to predict whether or not a robot will successfully pick an object for given depth images of…

Robotics · Computer Science 2018-05-23 Kensuke Harada , Weiwei Wan , Tokuo Tsuji , Kohei Kikuchi , Kazuyuki Nagata , Hiromu Onda