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We study the problem of optimizing nonlinear objective functions over bipartite matchings. While the problem is generally intractable, we provide several efficient algorithms for it, including a deterministic algorithm for maximizing convex…

Optimization and Control · Mathematics 2008-07-24 Yael Berstein , Shmuel Onn

Finding approximate occurrences of a pattern in a text using a full-text index is a central problem in bioinformatics and has been extensively researched. Bidirectional indices have opened new possibilities in this regard allowing the…

Data Structures and Algorithms · Computer Science 2018-03-06 Kiavash Kianfar , Christopher Pockrandt , Bahman Torkamandi , Haochen Luo , Knut Reinert

Machine learning algorithms may have disparate impacts on protected groups. To address this, we develop methods for Bayes-optimal fair classification, aiming to minimize classification error subject to given group fairness constraints. We…

Machine Learning · Statistics 2025-08-28 Xianli Zeng , Kevin Jiang , Guang Cheng , Edgar Dobriban

Hashing methods have been widely investigated for fast approximate nearest neighbor searching in large data sets. Most existing methods use binary vectors in lower dimensional spaces to represent data points that are usually real vectors of…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Dayong Tian , Dacheng Tao

Feature selection is an important problem in high-dimensional data analysis and classification. Conventional feature selection approaches focus on detecting the features based on a redundancy criterion using learning and feature searching…

Computer Vision and Pattern Recognition · Computer Science 2012-01-31 Alex Pappachen James , Sima Dimitrijev

The applications of traditional statistical feature selection methods to high-dimension, low sample-size data often struggle and encounter challenging problems, such as overfitting, curse of dimensionality, computational infeasibility, and…

Machine Learning · Statistics 2023-12-19 Kexuan Li , Fangfang Wang , Lingli Yang , Ruiqi Liu

We consider the problem of fusing an arbitrary number of multiband, i.e., panchromatic, multispectral, or hyperspectral, images belonging to the same scene. We use the well-known forward observation and linear mixture models with Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2018-07-19 Reza Arablouei

The group testing problem consists of determining a small set of defective items from a larger set of items based on a number of possibly-noisy tests, and has numerous practical applications. One of the defining features of group testing is…

Information Theory · Computer Science 2021-11-12 Bernard Teo , Jonathan Scarlett

A new technique for reliably identifying point sources in millimeter/sub-millimeter wavelength maps is presented. This method accounts for the frequency dependence of noise in the Fourier domain as well as non-uniformities in the coverage…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 T. A. Perera , G. W. Wilson , K. S. Scott , J. E. Austermann , J. R. Schaar , A. Mancera

The Closest String Problem is an NP-hard problem that aims to find a string that has the minimum distance from all sequences that belong to the given set of strings. Its applications can be found in coding theory, computational biology, and…

Artificial Intelligence · Computer Science 2024-07-19 Alireza Abdi , Marko Djukanovic , Hesam Tahmasebi Boldaji , Hadis Salehi , Aleksandar Kartelj

Binary neural networks are the extreme case of network quantization, which has long been thought of as a potential edge machine learning solution. However, the significant accuracy gap to the full-precision counterparts restricts their…

Computer Vision and Pattern Recognition · Computer Science 2022-12-14 Nianhui Guo , Joseph Bethge , Christoph Meinel , Haojin Yang

We explore a multiple-stage variant of the min-max robust selection problem with budgeted uncertainty that includes queries. First, one queries a subset of items and gets the exact values of their uncertain parameters. Given this…

Optimization and Control · Mathematics 2025-01-07 Xiaoyu Chen , Marc Goerigk , Michael Poss

In the deep-learning community new algorithms are published at an incredible pace. Therefore, solving an image classification problem for new datasets becomes a challenging task, as it requires to re-evaluate published algorithms and their…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Florian Scheidegger , Roxana Istrate , Giovanni Mariani , Luca Benini , Costas Bekas , Cristiano Malossi

The discovery of therapeutic molecules is fundamentally a multi-objective optimization problem. One formulation of the problem is to identify molecules that simultaneously exhibit strong binding affinity for a target protein, minimal…

Quantitative Methods · Quantitative Biology 2023-10-17 Jenna C. Fromer , David E. Graff , Connor W. Coley

This paper proposes a new algorithm based on multi-scale stochastic local search with binary representation for training neural networks. In particular, we study the effects of neighborhood evaluation strategies, the effect of the number of…

Neural and Evolutionary Computing · Computer Science 2016-11-17 Mauro Brunato , Roberto Battiti

Current state-of-the-art methods for solving discrete optimization problems are usually restricted to convex settings. In this paper, we propose a general approach based on cutting planes for solving nonlinear, possibly nonconvex, binary…

Optimization and Control · Mathematics 2022-03-21 Hoa T. Bui , Qun Lin , Ryan Loxton

Sorting and binary searching a dense array can be considered the simplest and most space efficient form of indexing. This holds especially on GPUs as they exhibit exceptional sorting performance. However, the popular opinion is that such a…

Databases · Computer Science 2026-02-24 Justus Henneberg , Felix Schuhknecht

We propose a novel abstraction of the image segmentation task in the form of a combinatorial optimization problem that we call the multi-separator problem. Feasible solutions indicate for every pixel whether it belongs to a segment or a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Jannik Irmai , Shengxian Zhao , Jannik Presberger , Bjoern Andres

Remote sensing research focusing on feature selection has long attracted the attention of the remote sensing community because feature selection is a prerequisite for image processing and various applications. Different feature selection…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-13 Nhien-An Le-Khac , M-Tahar Kechadi , Bo Wu , C. Chen

We propose a general framework for differentiating shapes represented in binary images with respect to their parameters. This framework functions as an automatic differentiation tool for shape parameters, generating both binary density maps…

Computational Physics · Physics 2024-12-04 Zhaocheng Liu , Jim Bonar
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