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In contrast to human vision, common recognition algorithms often fail on partially occluded images. We propose characterizing, empirically, the algorithmic limits by finding a minimal recognizable patch (MRP) that is by itself sufficient to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Mark Fonaryov , Michael Lindenbaum

We study a combinatorial problem arising from microarrays synthesis. The synthesis is done by a light-directed chemical process. The objective is to minimize unintended illumination that may contaminate the quality of experiments.…

Data Structures and Algorithms · Computer Science 2010-11-05 Alexandru Popa , Prudence W. H. Wong , Fencol C. C. Yung

Topological correctness plays a critical role in many image segmentation tasks, yet most networks are trained using pixel-wise loss functions, such as Dice, neglecting topological accuracy. Existing topology-aware methods often lack robust…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Laurin Lux , Alexander H. Berger , Alexander Weers , Nico Stucki , Daniel Rueckert , Ulrich Bauer , Johannes C. Paetzold

Since its inception, Benders Decomposition (BD) has been successfully applied to a wide range of large-scale mixed-integer (linear) problems. The key element of BD is the derivation of Benders cuts, which are often not unique. In this…

Optimization and Control · Mathematics 2024-05-21 Mojtaba Hosseini , John Turner

Image partitioning, or segmentation without semantics, is the task of decomposing an image into distinct segments, or equivalently to detect closed contours. Most prior work either requires seeds, one per segment; or a threshold; or…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Steffen Wolf , Alberto Bailoni , Constantin Pape , Nasim Rahaman , Anna Kreshuk , Ullrich Köthe , Fred A. Hamprecht

Compressed sensing applied to magnetic resonance imaging (MRI) allows to reduce the scanning time by enabling images to be reconstructed from highly undersampled data. In this paper, we tackle the problem of designing a sampling mask for an…

Image and Video Processing · Electrical Eng. & Systems 2020-03-17 Thomas Sanchez , Baran Gözcü , Ruud B. van Heeswijk , Armin Eftekhari , Efe Ilıcak , Tolga Çukur , Volkan Cevher

Given an undirected graph with edge costs and node weights, the minimum bisection problem asks for a partition of the nodes into two parts of equal weight such that the sum of edge costs between the parts is minimized. We give a polynomial…

Data Structures and Algorithms · Computer Science 2015-05-01 Kyle Fox , Philip N. Klein , Shay Mozes

The necessary decarbonization efforts in energy sectors entail the integration of flexibility assets, as well as increased levels of uncertainty for the planning and operation of power systems. To cope with this in a cost-effective manner,…

Systems and Control · Electrical Eng. & Systems 2024-09-25 Stefan Borozan , Spyros Giannelos , Paola Falugi , Alexandre Moreira , Goran Strbac

Edge-Geodetic Sets play a crucial role in network monitoring and optimization, wherein the goal is to strategically place monitoring stations on vertices of a network, represented as a graph, to ensure complete coverage of edges and…

Computational Complexity · Computer Science 2025-06-17 Giordano Colli

Image segmentation is a popular area of research in computer vision that has many applications in automated image processing. A recent technique called piecewise flat embeddings (PFE) has been proposed for use in image segmentation; PFE…

Computer Vision and Pattern Recognition · Computer Science 2016-12-21 Renee T. Meinhold , Tyler L. Hayes , Nathan D. Cahill

Edge detection is a critical component of many vision systems, including object detectors and image segmentation algorithms. Patches of edges exhibit well-known forms of local structure, such as straight lines or T-junctions. In this paper…

Computer Vision and Pattern Recognition · Computer Science 2014-11-26 Piotr Dollár , C. Lawrence Zitnick

Probabilistic circuits (PCs) such as sum-product networks efficiently represent large multi-variate probability distributions. They are preferred in practice over other probabilistic representations such as Bayesian and Markov networks…

Machine Learning · Computer Science 2024-02-07 Shivvrat Arya , Tahrima Rahman , Vibhav Gogate

We present a sublinear time algorithm that allows one to sample multiple edges from a distribution that is pointwise $\epsilon$-close to the uniform distribution, in an \emph{amortized-efficient} fashion. We consider the adjacency list…

Data Structures and Algorithms · Computer Science 2021-07-21 Talya Eden , Saleet Mossel , Ronitt Rubinfeld

We study image segmentation from an information-theoretic perspective, proposing a novel adversarial method that performs unsupervised segmentation by partitioning images into maximally independent sets. More specifically, we group image…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Pedro Savarese , Sunnie S. Y. Kim , Michael Maire , Greg Shakhnarovich , David McAllester

Despite the great performance of deep learning models in many areas, they still make mistakes and underperform on certain subsets of data, i.e. error slices. Given a trained model, it is important to identify its semantically coherent error…

Machine Learning · Computer Science 2025-12-23 Han Yu , Hao Zou , Jiashuo Liu , Renzhe Xu , Yue He , Xingxuan Zhang , Peng Cui

Markov random fields (MRFs) are a powerful tool for modelling statistical dependencies for a set of random variables using a graphical representation. An important computational problem related to MRFs, called maximum a posteriori (MAP)…

Data Structures and Algorithms · Computer Science 2017-08-11 Alexander Bauer , Shinichi Nakajima , Nico Görnitz , Klaus-Robert Müller

We present a novel algorithm for segmentation of natural images that harnesses the principle of minimum description length (MDL). Our method is based on observations that a homogeneously textured region of a natural image can be well…

Computer Vision and Pattern Recognition · Computer Science 2010-06-21 Hossein Mobahi , Shankar R. Rao , Allen Y. Yang , Shankar S. Sastry , Yi Ma

In the $k$-Edge Connected Spanning Subgraph ($k$-ECSS) problem we are given a (multi-)graph $G=(V,E)$ with edge costs and an integer $k$, and seek a min-cost $k$-edge-connected spanning subgraph of $G$. The problem admits a…

Data Structures and Algorithms · Computer Science 2025-07-08 Zeev Nutov , Reut Cohen

Spectral graph bisections are a popular heuristic aimed at approximating the solution of the NP-complete graph bisection problem. This technique, however, does not always provide a robust tool for graph partitioning. Using a special class…

Numerical Analysis · Mathematics 2015-12-22 John C. Urschel , Ludmil T. Zikatanov

Probabilistic inference in pairwise Markov Random Fields (MRFs), i.e. computing the partition function or computing a MAP estimate of the variables, is a foundational problem in probabilistic graphical models. Semidefinite programming…

Machine Learning · Computer Science 2021-05-04 Chirag Pabbaraju , Po-Wei Wang , J. Zico Kolter
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