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In the online simple knapsack problem items are presented in an iterative fashion and an algorithm has to decide for each item whether to reject or permanently include it into the knapsack without any knowledge about the rest of the…

Data Structures and Algorithms · Computer Science 2022-02-07 Hans-Joachim Boeckenhauer , Elisabet Burjons , Fabian Frei , Juraj Hromkovic , Henri Lotze , Peter Rossmanith

We study different online optimization problems in the random-order model. There is a finite set of bins with known capacity and a finite set of items arriving in a random order. Upon arrival of an item, its size and its value for each of…

Data Structures and Algorithms · Computer Science 2025-04-03 Max Klimm , Martin Knaack

In this paper we consider the Online Bin Packing Problem in three variants: Circles in Squares, Circles in Isosceles Right Triangles, and Spheres in Cubes. The two first ones receive an online sequence of circles (items) of different radii…

Data Structures and Algorithms · Computer Science 2017-08-30 Carla Negri Lintzmayer , Flávio Keidi Miyazawa , Eduardo Candido Xavier

Transfer learning techniques have been widely used in the reality that it is difficult to obtain sufficient labeled data in the target domain, but a large amount of auxiliary data can be obtained in the relevant source domain. But most of…

Machine Learning · Computer Science 2019-10-22 Guokun Chi , Min Jiang , Xing Gao , Weizhen Hu , Shihui Guo , Kay Chen Tan

Biclustering involves the simultaneous clustering of objects and their attributes, thus defining local two-way clustering models. Recently, efficient algorithms were conceived to enumerate all biclusters in real-valued datasets. In this…

Machine Learning · Computer Science 2015-06-04 Saullo Haniell Galvão de Oliveira , Rosana Veroneze , Fernando José Von Zuben

An important area of combinatorial optimization is the study of packing and covering problems, such as Bin Packing, Multiple Knapsack, and Bin Covering. Those problems have been studied extensively from the viewpoint of approximation…

Data Structures and Algorithms · Computer Science 2020-07-07 Max Bannach , Sebastian Berndt , Marten Maack , Matthias Mnich , Alexandra Lassota , Malin Rau , Malte Skambath

This paper suveys different variants of the following problem: Given a convex set $K$ and a sequence $\{C_i\}$ of convex bodies in $E^n$, is it possible to pack the sequence of bodies in $K$ or cover $K$ with the bodies? Algorithmic…

Metric Geometry · Mathematics 2022-02-24 Gábor Fejes Tóth

The multiple knapsack problem with grouped items aims to maximize rewards by assigning groups of items among multiple knapsacks, considering knapsack capacities. Either all items in a group are assigned or none at all. We propose algorithms…

Data Structures and Algorithms · Computer Science 2020-06-02 Francisco Castillo-Zunino , Pinar Keskinocak

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

We consider a known variant of bin packing called {\it cardinality constrained bin packing}, also called {\it bin packing with cardinality constraints} (BPCC). In this problem, there is a parameter k\geq 2, and items of rational sizes in…

Data Structures and Algorithms · Computer Science 2021-07-20 Leah Epstein

The binary neural network, largely saving the storage and computation, serves as a promising technique for deploying deep models on resource-limited devices. However, the binarization inevitably causes severe information loss, and even…

Neural and Evolutionary Computing · Computer Science 2020-04-08 Haotong Qin , Ruihao Gong , Xianglong Liu , Xiao Bai , Jingkuan Song , Nicu Sebe

In this paper, we consider the weighted online set k-multicover problem. In this problem, we have a universe V of elements, a family S of subsets of V with a positive real cost for every set in S and a "coverage factor" (positive integer)…

Data Structures and Algorithms · Computer Science 2015-03-19 Piotr Berman , Bhaskar DasGupta

We consider the Bin Packing problem with a partition matroid constraint. The input is a set of items of sizes in $(0,1]$, and a partition matroid over the items. The goal is to pack all items in a minimum number of unit-size bins, such that…

Data Structures and Algorithms · Computer Science 2023-05-16 Ilan Doron-Arad , Ariel Kulik , Hadas Shachnai

In this paper, we study online multidimensional bin packing problem when all items are hypercubes. Based on the techniques in one dimensional bin packing algorithm Super Harmonic by Seiden, we give a framework for online hypercube packing…

Data Structures and Algorithms · Computer Science 2016-08-31 Xin Han , Deshi Ye , Yong Zhou

Packing and vehicle routing problems play an important role in the area of supply chain management. In this paper, we introduce a non-linear knapsack problem that occurs when packing items along a fixed route and taking into account travel…

Data Structures and Algorithms · Computer Science 2015-04-16 Sergey Polyakovskiy , Frank Neumann

Bin packing problem examines the minimum number of identical bins needed to pack a set of items of various weights. This problem arises in various areas of the artificial intelligence demanding derivation of the exact solutions in the…

Optimization and Control · Mathematics 2019-09-04 Masoud Ataei , Shengyuan Chen

Though competitive analysis is often a very good tool for the analysis of online algorithms, sometimes it does not give any insight and sometimes it gives counter-intuitive results. Much work has gone into exploring other performance…

Data Structures and Algorithms · Computer Science 2017-06-14 Joan Boyar , Leah Epstein , Lene M. Favrholdt , Kim S. Larsen , Asaf Levin

In this work we investigate the problem of order batching and picker routing in storage areas. These are labour and capital intensive problems, often responsible for a substantial share of warehouse operating costs. In particular, we…

Optimization and Control · Mathematics 2018-08-03 Cristiano Arbex Valle , John E Beasley , Alexandre Salles da Cunha

In this paper I investigate several offline and online data transfer scheduling problems and propose efficient algorithms and techniques for addressing them. In the offline case, I present a novel, heuristic, algorithm for scheduling files…

Data Structures and Algorithms · Computer Science 2012-12-21 Mugurel Ionut Andreica

Binary classification is a fundamental problem in machine learning. Recent development of quantum similarity-based binary classifiers and kernel method that exploit quantum interference and feature quantum Hilbert space opened up tremendous…

Quantum Physics · Physics 2020-04-08 Daniel K. Park , Carsten Blank , Francesco Petruccione
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