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In the recent paper \cite{BDT10} we introduced a new problem that we call Bin Packing/Covering with Delivery, or BP/CD for short. Mainly we mean under this expression that we look for not only a good, but a "good and fast" packing or…

Data Structures and Algorithms · Computer Science 2015-03-20 Gyorgy Dosa , Zsolt Tuza

Color image segmentation is an important topic in the image processing field. MRF-MAP is often adopted in the unsupervised segmentation methods, but their performance are far behind recent interactive segmentation tools supervised by user…

Computer Vision and Pattern Recognition · Computer Science 2012-02-21 Qiyang Zhao

In the Minimum Common String Partition Problem (MCSP), we are given two strings on input, and we want to partition both into the same collection of substrings, minimizing the number of the substrings in the partition. This combinatorial…

Data Structures and Algorithms · Computer Science 2021-10-12 Miloš Chromý , Markus Sinnl

Segmentation-based image coding methods provide high compression ratios when compared with traditional image coding approaches like the transform and sub band coding for low bit-rate compression applications. In this paper, a…

Computer Vision and Pattern Recognition · Computer Science 2012-11-12 Rehna V. J. , M. K. Jeyakumar

We introduce the strongly NP-complete pagination problem, an extension of BIN PACKING where packing together two items may make them occupy less volume than the sum of their individual sizes. To achieve this property, an item is defined as…

Data Structures and Algorithms · Computer Science 2017-09-06 Aristide Grange , Imed Kacem , Sébastien Martin

We tackle three optimization problems in which a colored graph, where each node is assigned a color, must be partitioned into colorful connected components. A component is defined as colorful if each color appears at most once. The problems…

Combinatorics · Mathematics 2025-06-11 Claudia Archetti , Martina Cerulli , Carmine Sorgente

The article proposes a heuristic approximation approach to the bin packing problem under multiple objectives. In addition to the traditional objective of minimizing the number of bins, the heterogeneousness of the elements in each bin is…

Artificial Intelligence · Computer Science 2008-09-05 Martin Josef Geiger

Probability distribution modeling is the basis for most competitive methods for lossless coding of screen content. One such state-of-the-art method is known as soft context formation (SCF). For each pixel to be encoded, a probability…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Hannah Och , Tilo Strutz , André Kaup

We propose an algorithm for low rank matrix completion for matrices with binary entries which obtains explicit binary factors. Our algorithm, which we call TBMC (\emph{Tiling for Binary Matrix Completion}), gives interpretable output in the…

Numerical Analysis · Mathematics 2020-06-23 Melanie Beckerleg , Andrew Thompson

The paper described a generalized integrated glance to bin packing problems including a brief literature survey and some new problem formulations for the cases of multiset estimates of items. A new systemic viewpoint to bin packing problems…

Artificial Intelligence · Computer Science 2016-05-25 Mark Sh. Levin

Efficiency is crucial to the online recommender systems. Representing users and items as binary vectors for Collaborative Filtering (CF) can achieve fast user-item affinity computation in the Hamming space, in recent years, we have…

Information Retrieval · Computer Science 2019-05-10 Chenghao Liu , Tao Lu , Xin Wang , Zhiyong Cheng , Jianling Sun , Steven C. H. Hoi

Two-level logic minimization is a central problem in logic synthesis, and has applications in reliability analysis and automated reasoning. This paper represents a method of minimizing Boolean sum of products function with binary decision…

Data Structures and Algorithms · Computer Science 2012-03-29 Debajit Sensarma , Subhashis Banerjee , Krishnendu Basuli , Saptarshi Naskar , Samar Sen Sarma

The problem of designing bit-to-pattern mappings and power allocation schemes for orthogonal frequency-division multiplexing (OFDM) systems that employ subcarrier index modulation (IM) is considered. We assume the binary source conveys a…

Information Theory · Computer Science 2020-01-08 Justin P. Coon , Mihai-Alin Badiu , Ye Liu , Ferhat Yarkin , Shuping Dang

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 many practical communication systems, one binary encoder/decoder pair is used to communicate over a set of parallel channels. Examples of this setup include multi-carrier transmission, rate-compatible puncturing of turbo-like codes, and…

Information Theory · Computer Science 2024-01-25 Christian Häger , Alexandre Graell i Amat , Alex Alvarado , Fredrik Brännström , Erik Agrell

We consider several extensions of the fractional bin packing problem, a relaxation of the traditional bin packing problem where the objects may be split across multiple bins. In these extensions, we introduce load-balancing constraints…

Data Structures and Algorithms · Computer Science 2018-10-30 Davi Castro-Silva , Eric Gourdin

We propose a decomposition of the max-min fair curriculum-based course timetabling (MMF-CB-CTT) problem. The decomposition models the room assignment subproblem as a generalized lexicographic bottleneck optimization problem (LBOP). We show…

Artificial Intelligence · Computer Science 2013-08-27 Moritz Mühlenthaler , Rolf Wanka

We consider the bin packing problem with d different item sizes s_i and item multiplicities a_i, where all numbers are given in binary encoding. This problem formulation is also known as the 1-dimensional cutting stock problem. In this…

Data Structures and Algorithms · Computer Science 2020-05-01 Michel X. Goemans , Thomas Rothvoss

This paper studies the problem of designing compact binary architectures for vision multi-layer perceptrons (MLPs). We provide extensive analysis on the difficulty of binarizing vision MLPs and find that previous binarization methods…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Yixing Xu , Xinghao Chen , Yunhe Wang

The optimal binning is the optimal discretization of a variable into bins given a discrete or continuous numeric target. We present a rigorous and extensible mathematical programming formulation for solving the optimal binning problem for a…

Machine Learning · Computer Science 2022-12-12 Guillermo Navas-Palencia