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Despite the advances in the development of numerical methods analytical approaches still play the key role on the way towards a deeper understanding of many-particle systems. In this regards, diagonalization schemes for Hamiltonians…

Strongly Correlated Electrons · Physics 2020-10-15 Steffen Sykora , Arnd Hübsch , Klaus W. Becker

In this survey paper, we review recent uses of convolution neural networks (CNNs) to solve inverse problems in imaging. It has recently become feasible to train deep CNNs on large databases of images, and they have shown outstanding…

Image and Video Processing · Electrical Eng. & Systems 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser

Normalization techniques are essential for accelerating the training and improving the generalization of deep neural networks (DNNs), and have successfully been used in various applications. This paper reviews and comments on the past,…

Machine Learning · Computer Science 2020-09-29 Lei Huang , Jie Qin , Yi Zhou , Fan Zhu , Li Liu , Ling Shao

We establish new pair correlation results for certain generic homogenous diagonal forms evaluated on the integers. Methods are analytic leading to explicit quantitative statements.

Number Theory · Mathematics 2016-06-21 Jean Bourgain

Deep neural networks have dramatically advanced the state of the art for many areas of machine learning. Recently they have been shown to have a remarkable ability to generate highly complex visual artifacts such as images and text rather…

Computer Vision and Pattern Recognition · Computer Science 2016-07-08 Andrey Zhmoginov , Mark Sandler

A review of recent developments in the analyses of supersymmetric dark matter is given.

High Energy Physics - Phenomenology · Physics 2007-05-23 Pran Nath , R. Arnowitt

In this note we show that the known relation between double groupoids and matched pairs of groups may be extended, or seems to extend, to the triple case. The references give some other occurrences of double groupoids.

Category Theory · Mathematics 2011-04-12 Ronald Brown

We extend the classical deconvolution framework in Rn to the case with a pseudodifferential-like solution operator with a symbol depending on both the base and cotangent variable. Our framework enables deconvolution with spatially varying…

Spectral Theory · Mathematics 2025-12-30 Mirza Karamehmedović , Pierre Maréchal , Martin Sæbye Carøe , Lara Baalbaki

This paper proposes a novel approach to regularize the ill-posed blind image deconvolution (blind image deblurring) problem using deep generative networks. We employ two separate deep generative models - one trained to produce sharp images…

Computer Vision and Pattern Recognition · Computer Science 2019-08-21 Muhammad Asim , Fahad Shamshad , Ali Ahmed

We establish some new theorems on pentagon and pentagram.

History and Overview · Mathematics 2019-08-06 Tran Quang Hung

This article gives a brief survey of the theory and applications of anomalies.

High Energy Physics - Theory · Physics 2007-05-23 Stephen L. Adler

To study a noncompact Riemannian manifold, it is often useful to find a compactification. We discuss several common compactifications and survey some recent results.

Differential Geometry · Mathematics 2010-12-15 Xiaodong Wang

In this paper, we introduce new generalizations of higher-order Changhee of the first and second kind. Moreover, we derive some new results for these numbers and polynomials. Furthermore, some interesting special cases of the generalized…

General Mathematics · Mathematics 2021-03-19 F. M. Abdel Moneim , Abdelfattah Mustafa , B. S. El-Desouky

In this paper we introduce and study the class of graded U-nil clean rings, as a generalization of graded nil-good class defined in [3]. We also investigate the transfer of the graded U-nil cleaness to matrix rings, and to graded group…

Commutative Algebra · Mathematics 2024-01-23 Ismail Namrok

An algebraic deformation theory of coalgebra morphisms is constructed.

Quantum Algebra · Mathematics 2007-05-23 Donald Yau

In today's digital age, Convolutional Neural Networks (CNNs), a subset of Deep Learning (DL), are widely used for various computer vision tasks such as image classification, object detection, and image segmentation. There are numerous types…

Machine Learning · Computer Science 2024-02-29 Abolfazl Younesi , Mohsen Ansari , MohammadAmin Fazli , Alireza Ejlali , Muhammad Shafique , Jörg Henkel

Recent developments in higher order calculations within the framework of Dimensional Reduction, the preferred regularization scheme for supersymmetric theories, are reported on. Special emphasis is put on the treatment of evanescent…

High Energy Physics - Phenomenology · Physics 2007-06-21 Robert Harlander , Philipp Kant , Luminita Mihaila , Matthias Steinhauser

We discuss isospin analogues of the tetraneutron resonance and their possible manifestations in nuclear structure and reactions.

Nuclear Theory · Physics 2025-03-12 A. M. Shirokov , A. I. Mazur , I. A. Mazur , V. A. Kulikov

Deep Neural Networks often require good regularizers to generalize well. Dropout is one such regularizer that is widely used among Deep Learning practitioners. Recent work has shown that Dropout can also be viewed as performing Approximate…

Machine Learning · Computer Science 2016-11-22 Suraj Srinivas , R. Venkatesh Babu

A new general and unified method of summation, which is both regular and consistent, is invented. It is based on the idea concerning a way of integers reordering. The resulting theory includes a number of explicit and closed form summation…

Classical Analysis and ODEs · Mathematics 2011-10-26 Armen Bagdasaryan