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Graphical models with High Order Potentials (HOPs) have received considerable interest in recent years. While there are a variety of approaches to inference in these models, nearly all of them amount to solving a linear program (LP)…

Artificial Intelligence · Computer Science 2013-09-27 Elad Mezuman , Daniel Tarlow , Amir Globerson , Yair Weiss

Cardiac T1 mapping is a valuable quantitative MRI technique for diagnosing diffuse myocardial diseases. Traditional methods, relying on breath-hold sequences and cardiac triggering based on an ECG signal, face challenges with patient…

Image and Video Processing · Electrical Eng. & Systems 2025-03-10 Eyal Hanania , Adi Zehavi-Lenz , Ilya Volovik , Daphna Link-Sourani , Israel Cohen , Moti Freiman

The color code is remarkable for its ability to perform fault-tolerant logic gates. This motivates the design of practical decoders that minimise the resource cost of color-code quantum computation. Here we propose a decoder for the planar…

Quantum Physics · Physics 2022-01-20 Kaavya Sahay , Benjamin J. Brown

Color vision deficiency (CVD) affects more than 4% of the population and leads to a different visual perception of colors. Though this has been known for decades, colormaps with many colors across the visual spectra are often used to…

Computer Vision and Pattern Recognition · Computer Science 2018-08-03 Jamie R. Nuñez , Christopher R. Anderton , Ryan S. Renslow

We give a linear-time algorithm to decide 3-colorability of a triangle-free graph embedded in a fixed surface, and a quadratic-time algorithm to output a 3-coloring in the affirmative case. The algorithms also allow to prescribe the…

Discrete Mathematics · Computer Science 2020-11-10 Zdenek Dvorak , Daniel Kral , Robin Thomas

The chromaticity diagram associated with the CIE 1931 color matching functions is shown to be slightly non-convex. While having no impact on practical colorimetric computations, the non-convexity does have a significant impact on the shape…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Scott A. Burns

Graph matching---aligning a pair of graphs to minimize their edge disagreements---has received wide-spread attention from both theoretical and applied communities over the past several decades, including combinatorics, computer vision, and…

One way to state the Load Coloring Problem (LCP) is as follows. Let $G=(V,E)$ be graph and let $f:V\rightarrow \{{\rm red}, {\rm blue}\}$ be a 2-coloring. An edge $e\in E$ is called red (blue) if both end-vertices of $e$ are red (blue). For…

Data Structures and Algorithms · Computer Science 2014-04-01 Gregory Gutin , Mark Jones

Purpose: The long scan times of quantitative MRI techniques make motion artifacts more likely. For MR-Fingerprinting-like approaches, this problem can be addressed with self-navigated retrospective motion correction based on reconstructions…

Medical Physics · Physics 2025-06-18 Elisa Marchetto , Sebastian Flassbeck , Andrew Mao , Jakob Assländer

Maximum a posteriori (MAP) inference is a fundamental computational paradigm for statistical inference. In the setting of graphical models, MAP inference entails solving a combinatorial optimization problem to find the most likely…

Machine Learning · Computer Science 2020-03-03 Jonathan N. Lee , Aldo Pacchiano , Michael I. Jordan

Image learning and colorization are hot spots in multimedia domain. Inspired by the learning capability of humans, in this paper, we propose an automatic colorization method with a learning framework. This method can be viewed as a hybrid…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Zhenfeng Xue , Jiandang Yang , Jie Ren , Yong Liu

Graph workloads pose a particularly challenging problem for query optimizers. They typically feature large queries made up of entirely many-to-many joins with complex correlations. This puts significant stress on traditional cardinality…

Databases · Computer Science 2025-05-01 Kyle Deeds , Diandre Sabale , Moe Kayali , Dan Suciu

This work proposes an adaptive trace lasso regularized L1-norm based graph cut method for dimensionality reduction of Hyperspectral images, called as `Trace Lasso-L1 Graph Cut' (TL-L1GC). The underlying idea of this method is to generate…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Ramanarayan Mohanty , S L Happy , Nilesh Suthar , Aurobinda Routray

Clique-width is one of the graph complexity measures leading to polynomial special-case algorithms for generally NP-complete problems, e.g. graph colourability. The best two currently known algorithms for verifying c-colourability of graphs…

Computational Complexity · Computer Science 2021-08-13 Bruno Courcelle , Irène Durand , Michael Raskin

Broadband time-ordered data obtained from telescopes with a wavelength-dependent, asymmetric beam pattern can be used to extract maps at multiple wavelengths from a single scan. This technique is especially useful when collecting data on…

Instrumentation and Methods for Astrophysics · Physics 2023-06-06 Brianna Cantrall , Solomon Quinn , Emory F. Bunn

Motivated by algorithmic applications, Kun, O'Brien, Pilipczuk, and Sullivan introduced the parameter linear chromatic number as a relaxation of treedepth and proved that the two parameters are polynomially related. They conjectured that…

Combinatorics · Mathematics 2026-03-12 Claire Hilaire , Matjaž Krnc , Martin Milanič , Jean-Florent Raymond

With the temperature power spectrum of the cosmic microwave background (CMB) at least four orders of magnitude larger than the B-mode polarisation power spectrum, any instrumental imperfections that couple temperature to polarisation must…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-22 Christopher G. R. Wallis , A. Bonaldi , Michael L. Brown , Richard A. Battye

Cartograms are map-based data visualizations in which the area of each map region is proportional to an associated numeric data value (e.g., population or gross domestic product). A cartogram is called contiguous if it conforms to this area…

Human-Computer Interaction · Computer Science 2022-07-06 Ian K. Duncan , Shi Tingsheng , Simon T. Perrault , Michael T. Gastner

Both bi-harmonic map and $f$-harmonic map have nice physical motivation and applications. In this paper, by combination of these two harmonic maps, we introduce and study $f$-bi-harmonic maps as the critical points of the $f$-bi-energy…

Differential Geometry · Mathematics 2015-03-20 Wei-Jun Lu

Laplacian regularized stratified models (LRSM) are models that utilize the explicit or implicit network structure of the sub-problems as defined by the categorical features called strata (e.g., age, region, time, forecast horizon, etc.),…

Machine Learning · Statistics 2023-05-05 Ziheng Cheng , Junzi Zhang , Akshay Agrawal , Stephen Boyd
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