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We consider a variant of the clustering problem for a complete weighted graph. The aim is to partition the nodes into clusters maximizing the sum of the edge weights within the clusters. This problem is known as the clique partitioning…

Social and Information Networks · Computer Science 2023-09-15 Alexander Belyi , Stanislav Sobolevsky , Alexander Kurbatski , Carlo Ratti

This is a survey of the method of graph cuts and its applications to graph clustering of weighted unsigned and signed graphs. I provide a fairly thorough treatment of the method of normalized graph cuts, a deeply original method due to Shi…

Machine Learning · Computer Science 2016-01-19 Jean Gallier

Making cut generating functions (CGFs) computationally viable is a central question in modern integer programming research. One would like to find CGFs that are simultaneously good, i.e., there are good guarantees for the cutting planes…

Optimization and Control · Mathematics 2019-02-04 Amitabh Basu , Sriram Sankaranarayanan

Spectral clustering is a popular and versatile clustering method based on a relaxation of the normalised graph cut objective. Despite its popularity, however, there is no single agreed upon method for tuning the important scaling parameter,…

Machine Learning · Statistics 2019-11-12 David Hofmeyr

In this work we study statistical properties of graph-based clustering algorithms that rely on the optimization of balanced graph cuts, the main example being the optimization of Cheeger cuts. We consider proximity graphs built from data…

Spectral Theory · Mathematics 2022-03-14 Nicolas Garcia Trillos , Ryan Murray , Matthew Thorpe

Convolutional Neural Networks (CNNs) are known for requiring extensive computational resources, and quantization is among the best and most common methods for compressing them. While aggressive quantization (i.e., less than 4-bits) performs…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Shahaf E. Finder , Yair Zohav , Maor Ashkenazi , Eran Treister

Finding optimal data for inpainting is a key problem in the context of partial differential equation based image compression. The data that yields the most accurate reconstruction is real-valued. Thus, quantisation models are mandatory to…

Computer Vision and Pattern Recognition · Computer Science 2017-06-21 Laurent Hoeltgen , Pascal Peter , Michael Breuß

This paper focuses on the design of spatial experiments to optimize the amount of information derived from the experimental data and enhance the accuracy of the resulting causal effect estimator. We propose a surrogate function for the mean…

Machine Learning · Computer Science 2025-08-29 Jin Zhu , Jingyi Li , Hongyi Zhou , Yinan Lin , Zhenhua Lin , Chengchun Shi

Despite the initial belief that Convolutional Neural Networks (CNNs) are driven by shapes to perform visual recognition tasks, recent evidence suggests that texture bias in CNNs provides higher performing models when learning on large…

Computer Vision and Pattern Recognition · Computer Science 2020-12-25 Reza Azad , Abdur R Fayjie , Claude Kauffman , Ismail Ben Ayed , Marco Pedersoli , Jose Dolz

Semantic image segmentation is one of the most important tasks in medical image analysis. Most state-of-the-art deep learning methods require a large number of accurately annotated examples for model training. However, accurate annotation…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Ning Zhang , Susan Francis , Rayaz Malik , Xin Chen

The C-Planarity problem asks for a drawing of a $\textit{clustered graph}$, i.e., a graph whose vertices belong to properly nested clusters, in which each cluster is represented by a simple closed region with no edge-edge crossings, no…

Data Structures and Algorithms · Computer Science 2018-03-16 Giordano Da Lozzo , David Eppstein , Michael T. Goodrich , Siddharth Gupta

We propose a mid-level image segmentation framework that combines multiple figure-ground hypothesis (FG) constrained at different locations and scales, into interpretations that tile the entire image. The problem is cast as optimization…

Computer Vision and Pattern Recognition · Computer Science 2010-09-27 Joao Carreira , Adrian Ion , Cristian Sminchisescu

It is generally accepted that one of the critical parts of current vision algorithms based on deep learning and convolutional neural networks is the annotation of a sufficient number of images to achieve competitive performance. This is…

Computer Vision and Pattern Recognition · Computer Science 2021-03-05 Kai Yao , Alberto Ortiz , Francisco Bonnin-Pascual

This paper presents the Min-Cut Bayesian Network Consensus (MCBNC) algorithm, a greedy method for structural consensus of Bayesian Networks (BNs), with applications in federated learning and model aggregation. MCBNC prunes weak edges from…

Machine Learning · Computer Science 2025-11-11 Pablo Torrijos , José M. Puerta , Juan A. Aledo , José A. Gámez

Shape-based regularization has proven to be a useful method for delineating objects within noisy images where one has prior knowledge of the shape of the targeted object. When a collection of possible shapes is available, the specification…

Computer Vision and Pattern Recognition · Computer Science 2014-05-05 Joshua C. Chang , Tom Chou

CBCT images suffer from acute shading artifacts primarily due to scatter. Numerous image-domain correction algorithms have been proposed in the literature that use patient-specific planning CT images to estimate shading contributions in…

Computer Vision and Pattern Recognition · Computer Science 2018-01-18 Awais Ashfaq , Jonas Adler

We introduce a variant of the multiway cut that we call the min-max connected multiway cut. Given a graph $G=(V,E)$ and a set $\Gamma\subseteq V$ of $t$ terminals, partition $V$ into $t$ parts such that each part is connected and contains…

Data Structures and Algorithms · Computer Science 2026-05-05 Hans Raj Tiwary , Petr Kolman

The paper proposes a novel Kernelized image segmentation scheme for noisy images that utilizes the concept of Smallest Univalue Segment Assimilating Nucleus (SUSAN) and incorporates spatial constraints by computing circular colour map…

Computer Vision and Pattern Recognition · Computer Science 2016-03-30 Satrajit Mukherjee , Bodhisattwa Prasad Majumder , Aritran Piplai , Swagatam Das

Perturbation-based explainability methods such as KernelSHAP provide model-agnostic attributions but are typically impractical for patch-based 3D medical image segmentation due to the large number of coalition evaluations and the high cost…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Ricardo Coimbra Brioso , Giulio Sichili , Damiano Dei , Nicola Lambri , Pietro Mancosu , Marta Scorsetti , Daniele Loiacono

In this paper we study formulations and algorithms for the cycle clustering problem, a partitioning problem over the vertex set of a directed graph with nonnegative arc weights that is used to identify cyclic behavior in simulation data…

Optimization and Control · Mathematics 2024-01-17 Leon Eifler , Jakob Witzig , Ambros Gleixner
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