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We consider "cubes" in products of finite cyclic groups and we study their tiling and spectral properties. (A set in a finite group is called a tile if some of its translates form a partition of the group and is called spectral if it admits…

Classical Analysis and ODEs · Mathematics 2016-02-10 Elona Agora , Sigrid Grepstad , Mihail N. Kolountzakis

With the introduction of consumer light field cameras, light field imaging has recently become widespread. However, there is an inherent trade-off between the angular and spatial resolution, and thus, these cameras often sparsely sample in…

Computer Vision and Pattern Recognition · Computer Science 2016-09-13 Nima Khademi Kalantari , Ting-Chun Wang , Ravi Ramamoorthi

Let X be a flexible variety of F be an isomorphism of closed one-dimensional subschemes of $X$. We develop criteria which guarantee that F extends to au automorphism of X.

Algebraic Geometry · Mathematics 2021-04-05 Shulim Kaliman , David Udumyan

The object of this work is to design an adequate regularization for the problem of recovering missing Fourier coefficients, particularly in some non standard situations were low frequency coefficients are lost. In the framework of non-local…

Numerical Analysis · Mathematics 2014-02-04 Antonin Chambolle , Khalid Jalalzai

We insert some asymmetries in the continuous Abelian sandpile models, such as directedness and ellipticity. We analyze probability distribution of different heights and also find the field theory corresponding to the models. Also we find…

Statistical Mechanics · Physics 2009-11-13 N. Azimi-Tafreshi , H. Dashti-Naserabadi , S. Moghimi-Araghi

We describe spectra of associative (not necessarily unital and not necessarily countable-dimensional) locally matrix algebras. We determine all possible spectra of locally matrix algebras and give a new proof of Dixmier-Baranov Theorem. As…

Rings and Algebras · Mathematics 2020-11-18 Oksana Bezushchak

this paper we consider the problem of separating noisy instantaneous linear mixtures of document images in the Bayesian framework. The source image is modeled hierarchically by a latent labeling process representing the common…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Feng Su , Ali Mohammad-Djafari

The Image-Computing Spectral Sequence computes the homology of the image of a finite map from the alternating homology of the multiple point spaces of the map. A related spectral sequence was obtained by Gabrielov, Vorobjob and Zell which…

Algebraic Topology · Mathematics 2019-11-26 José Luis Cisneros-Molina , David Mond

An image is here defined to be a set which is either open or closed and an image transformation is structure preserving in the following sense: It corresponds to an algebra homomorphism for each singly generated algebra. The results extend…

Statistics Theory · Mathematics 2017-06-27 Gunnar Taraldsen

In this paper, we propose to study spectral measures on local fields. Some basic results are presented, including the stability of Bessel sequences under perturbation, the Landau theorem on Beurling density, the law of pure type of spectral…

Functional Analysis · Mathematics 2015-05-26 Ai Hua Fan

A set A of natural numbers is finitely embeddable in another such set B if every finite subset of A has a rightward translate that is a subset of B. This notion of finite embeddability arose in combinatorial number theory, but in this paper…

Logic · Mathematics 2015-12-11 Andreas Blass , Mauro Di Nasso

Example-guided image synthesis has recently been attempted to synthesize an image from a semantic label map and an exemplary image. In the task, the additional exemplar image provides the style guidance that controls the appearance of the…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Haitian Zheng , Haofu Liao , Lele Chen , Wei Xiong , Tianlang Chen , Jiebo Luo

Diffusion models conditioned on identity embeddings enable the generation of synthetic face images that consistently preserve identity across multiple samples. Recent work has shown that introducing an additional negative condition through…

Graphics · Computer Science 2026-04-01 Eduarda Caldeira , Tahar Chettaoui , Naser Damer , Fadi Boutros

Hyperspectral image classification is gaining popularity for high-precision vision tasks in remote sensing, thanks to their ability to capture visual information available in a wide continuum of spectra. Researchers have been working on…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Fangqin Zhou , Mert Kilickaya , Joaquin Vanschoren

The introduction of structural defects in otherwise periodic media is well known to grant exceptional space control and localization of waves in various physical fields, including elasticity. Despite the variety of designs proposed so far,…

Applied Physics · Physics 2021-11-18 Marco Miniaci , Florian Allein , Raj Kumar Pal

High-resolution satellite imagery has proven useful for a broad range of tasks, including measurement of global human population, local economic livelihoods, and biodiversity, among many others. Unfortunately, high-resolution imagery is…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Yutong He , Dingjie Wang , Nicholas Lai , William Zhang , Chenlin Meng , Marshall Burke , David B. Lobell , Stefano Ermon

Categories of models of algebraic theories have good categorical properties except for gluing. Building upon insights and examples from Synthetic Differential Geometry, we introduce a generalisation of models of algebraic theories to…

Category Theory · Mathematics 2023-05-10 Filip Bár

We introduce the notion of uniform exactness, or uniform amenability at infinity, for discrete groups and prove it for a wide class of groups containing free groups and their limit groups. This shows a novel strong convergence phenomenon…

Group Theory · Mathematics 2026-05-01 Narutaka Ozawa

We investigate the notions of \emph{localization} and \emph{filtration} in the context of extended affine Lie algebras. Our primary objective is to develop a localization theory that facilitates the construction of meaningful local…

Quantum Algebra · Mathematics 2025-10-10 Saeid Azam

Existing permanental processes often impose constraints on kernel types or stationarity, limiting the model's expressiveness. To overcome these limitations, we propose a novel approach utilizing the sparse spectral representation of…

Machine Learning · Statistics 2024-12-20 Zicheng Sun , Yixuan Zhang , Zenan Ling , Xuhui Fan , Feng Zhou