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The Submodular Bin Packing (SMBP) problem asks for packing unsplittable items into a minimal number of bins for which the capacity utilization function is submodular. SMBP is equivalent to chance-constrained and robust bin packing problems…

最优化与控制 · 数学 2023-09-12 Liding Xu , Claudia D'Ambrosio , Sonia Haddad Vanier , Emiliano Traversi

The Partitioning Min-Max Weighted Matching (PMMWM) problem is an NP-hard problem that combines the problem of partitioning a group of vertices of a bipartite graph into disjoint subsets with limited size and the classical Min-Max Weighted…

数据结构与算法 · 计算机科学 2022-01-26 Yuxuan Wang , Jinyao Xie , Jiongzhi Zheng , Kun He

In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of partitioning the set of nodes into a fixed number of subsets with…

最优化与控制 · 数学 2024-11-12 Mishelle Cordero , Andrés Miniguano-Trujillo , Diego Recalde , Ramiro Torres , Polo Vaca

Over the past decade, decision diagrams (DDs) have been used to model and solve integer programming and combinatorial optimization problems. Despite successful performance of DDs in solving various discrete optimization problems, their…

最优化与控制 · 数学 2024-03-27 Hosseinali Salemi , Danial Davarnia

In this paper, we use reinforcement learning to find effective decoding strategies for binary linear codes. We start by reviewing several iterative decoding algorithms that involve a decision-making process at each step, including…

信息论 · 计算机科学 2019-12-10 Fabrizio Carpi , Christian Häger , Marco Martalò , Riccardo Raheli , Henry D. Pfister

The Bin Packing Problem is one of the most important optimization problems. In recent years, due to its NP-hard nature, several approximation algorithms have been presented. It is proved that the best algorithm for the Bin Packing Problem…

数据结构与算法 · 计算机科学 2015-08-07 Abdolahad Noori Zehmakan

A new variant of bit interleaved coded modulation (BICM) is proposed. In the new scheme, called Parallel BICM, L identical binary codes are used in parallel using a mapper, a newly proposed finite-length interleaver and a binary dither…

信息论 · 计算机科学 2010-08-18 Amir Ingber , Meir Feder

We consider a Bar Charts Packing Problem (BCPP), in which it is necessary to pack bar charts (BCs) in a strip of minimum length. The problem is, on the one hand, a generalization of the Bin Packing Problem (BPP), and, on the other hand, a…

数据结构与算法 · 计算机科学 2021-01-05 Adil Erzin , Gregory Melidi , Stepan Nazarenko , Roman Plotnikov

The Bin Packing Problem (BPP) is a well-established combinatorial optimization (CO) problem. Since it has many applications in our daily life, e.g. logistics and resource allocation, people are seeking efficient bin packing algorithms. On…

机器学习 · 计算机科学 2023-12-14 Wenjie Wu , Changjun Fan , Jincai Huang , Zhong Liu , Junchi Yan

Signal decomposition is a classical problem in signal processing, which aims to separate an observed signal into two or more components each with its own property. Usually each component is described by its own subspace or dictionary.…

计算机视觉与模式识别 · 计算机科学 2018-12-27 Shervin Minaee , Yao Wang

CG:SHOP is an annual geometric optimization challenge and the 2022 edition proposed the problem of coloring a certain geometric graph defined by line segments. Surprisingly, the top three teams used the same technique, called conflict…

In this article, we introduce and study the Quadratic Bin Packing Problem (QBPP), which generalizes the classical bin packing problem by introducing a fixed cost for each used bin and a pairwise cost (or profit) incurred whenever two items…

最优化与控制 · 数学 2026-04-06 Vítor Gomes Chagas , Alberto Locatelli , Flávio Keidi Miyazawa , Manuel Iori

For finite geometry low-density parity-check codes, heavy row and column weights in their parity check matrix make the decoding with even Min-Sum (MS) variants computationally expensive. To alleviate it, we present a class of hybrid schemes…

信息论 · 计算机科学 2009-07-02 Guangwen Li , Dashe Li , Yuling Wang , Wenyan Sun

Modeling decision-dependent scenario probabilities in stochastic programs is difficult and typically leads to large and highly non-linear MINLPs that are very difficult to solve. In this paper, we develop a new approach to obtain a compact…

最优化与控制 · 数学 2017-01-18 Utz-Uwe Haus , Carla Michini , Marco Laumanns

The Colored Bin Packing Problem (CBPP) is a generalization of the Bin Packing Problem (BPP). The CBPP consists of packing a set of items, each with a weight and a color, in bins of limited capacity, minimizing the number of used bins and…

人工智能 · 计算机科学 2024-07-09 Renan F. F. da Silva , Yulle G. F. Borges , Rafael C. S. Schouery

Boolean matrix factorization (BMF) has many applications in data mining, bioinformatics, and network analysis. The goal of BMF is to decompose a given binary matrix as the Boolean product of two smaller binary matrices, revealing underlying…

交换代数 · 数学 2025-09-12 Juliann Geraci , Alexander B. Kunin , Alexandra Seceleanu

Multiple beamforming is realized by singular value decomposition of the channel matrix which is assumed to be known to both the transmitter and the receiver. Bit-Interleaved Coded Multiple Beamforming (BICMB) can achieve full diversity as…

信息论 · 计算机科学 2012-08-17 Boyu Li , Hong Ju Park , Ender Ayanoglu

Inpainting-based compression represents images in terms of a sparse subset of its pixel data. Storing the carefully optimised positions of known data creates a lossless compression problem on sparse and often scattered binary images. This…

图像与视频处理 · 电气工程与系统科学 2021-08-03 Rahul Mohideen Kaja Mohideen , Pascal Peter , Joachim Weickert

When designing multispectral imaging systems for classifying different spectra it is necessary to choose a small number of filters from a set with several hundred different ones. Tackling this problem by full search leads to a tremendous…

图像与视频处理 · 电气工程与系统科学 2023-01-19 Frank Sippel , Jürgen Seiler , André Kaup

This paper presents a physical layer network coding (PNC) approach for network MIMO (N-MIMO) systems to release the heavy burden of backhaul load. The proposed PNC approach is applied for uplink scenario in binary systems, and the design…

信号处理 · 电气工程与系统科学 2018-05-22 Tong Peng , Yi Wang , Alister G. Burr , Mohammad Shikh-Bahaei