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In this paper, we will continue the investigation of Waring's problem, and give further improvements.

Combinatorics · Mathematics 2025-01-15 An-Ping Li

In this paper, we study the problem of reproducing the world lighting from a single image of an object covered with random specular microfacets on the surface. We show that such reflectors can be interpreted as a randomized mapping from the…

Computer Vision and Pattern Recognition · Computer Science 2014-12-30 Zhengdong Zhang , Phillip Isola , Edward H. Adelson

Some problems of testology are discussed.

Applications · Statistics 2007-11-12 Victor Kromer

I discuss some compelling suggestions about particles which could be the dark matter in the universe, with special attention to experimental searches for them.

Astrophysics · Physics 2009-07-09 Palash B. Pal

Nighttime photographers are often troubled by light pollution of unwanted artificial lights. Artificial lights, after scattered by aerosols in the atmosphere, can inundate the starlight and degrade the quality of nighttime images, by…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Chang Liu , Xiaolin Wu

MLLMs often generate outputs that are inconsistent with the visual content, a challenge known as hallucination. Previous methods focus on determining whether a generated output is hallucinated, without identifying which image region leads…

Computer Vision and Pattern Recognition · Computer Science 2024-07-31 Zheng Lin , Zhenxing Niu , Zhibin Wang , Yinghui Xu

By some new recursive algorithms, in this paper, we will give some improvements on Waring's problem.

Combinatorics · Mathematics 2020-02-11 An-Ping Li

This is an update of my problem list.

Logic · Mathematics 2016-09-06 Arnold W. Miller

Fireflies lighten up our warm summer evenings. There is more physic behind these little animals than anyone of us could imagine. In this paper we analyze from a physical point of view one structure found on the firefly lantern, the one…

Optics · Physics 2013-02-05 Annick Bay , Michael Sarrazin , Jean Pol Vigneron

A fundamental problem in computer vision is that of inferring the intrinsic, 3D structure of the world from flat, 2D images of that world. Traditional methods for recovering scene properties such as shape, reflectance, or illumination rely…

Computer Vision and Pattern Recognition · Computer Science 2020-10-09 Jonathan T. Barron , Jitendra Malik

This paper proposes a hypothesis for the aesthetic appreciation that aesthetic images make a neural network strengthen salient concepts and discard inessential concepts. In order to verify this hypothesis, we use multi-variate interactions…

Machine Learning · Computer Science 2021-08-06 Xu Cheng , Xin Wang , Haotian Xue , Zhengyang Liang , Quanshi Zhang

The identification of a solution to the dark matter problem has many arrows to its bow: if dark matter is a new elementary particle, both laboratory experiments and astrophysics can bring relevant and complementary pieces of information,…

High Energy Astrophysical Phenomena · Physics 2017-01-17 N. Fornengo

We present some questions and suggestion on the second part of the Hilbert 16th problem

Dynamical Systems · Mathematics 2023-02-13 Ali Taghavi

Orthogonal weight matrices are used in many areas of deep learning. Much previous work attempt to alleviate the additional computational resources it requires to constrain weight matrices to be orthogonal. One popular approach utilizes…

Machine Learning · Computer Science 2020-10-01 Alexander Mathiasen , Frederik Hvilshøj

The main goal of the paper is to solve some problems about shadow for the sphere generalized on the case of the ellipsoid. Here, the essence of the problem is to find the the minimal number of non-overlapping balls with centers on the…

Metric Geometry · Mathematics 2015-10-09 Tetyana Osipchuk , Maxim Tkachuk

Removing reflection artefacts from a single image is a problem of both theoretical and practical interest, which still presents challenges because of the massively ill-posed nature of the problem. In this work, we propose a technique based…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Daniel Heydecker , Georg Maierhofer , Angelica I. Aviles-Rivero , Qingnan Fan , Dongdong Chen , Carola-Bibiane Schönlieb , Sabine Süsstrunk

This white paper addresses the hypothesis of light sterile neutrinos based on recent anomalies observed in neutrino experiments and the latest astrophysical data.

High Energy Physics - Phenomenology · Physics 2012-04-25 K. N. Abazajian , M. A. Acero , S. K. Agarwalla , A. A. Aguilar-Arevalo , C. H. Albright , S. Antusch , C. A. Arguelles , A. B. Balantekin , G. Barenboim , V. Barger , P. Bernardini , F. Bezrukov , O. E. Bjaelde , S. A. Bogacz , N. S. Bowden , A. Boyarsky , A. Bravar , D. Bravo Berguno , S. J. Brice , A. D. Bross , B. Caccianiga , F. Cavanna , E. J. Chun , B. T. Cleveland , A. P. Collin , P. Coloma , J. M. Conrad , M. Cribier , A. S. Cucoanes , J. C. D'Olivo , S. Das , A. de Gouvea , A. V. Derbin , R. Dharmapalan , J. S. Diaz , X. J. Ding , Z. Djurcic , A. Donini , D. Duchesneau , H. Ejiri , S. R. Elliott , D. J. Ernst , A. Esmaili , J. J. Evans , E. Fernandez-Martinez , E. Figueroa-Feliciano , B. T. Fleming , J. A. Formaggio , D. Franco , J. Gaffiot , R. Gandhi , Y. Gao , G. T. Garvey , V. N. Gavrin , P. Ghoshal , D. Gibin , C. Giunti , S. N. Gninenko , V. V. Gorbachev , D. S. Gorbunov , R. Guenette , A. Guglielmi , F. Halzen , J. Hamann , S. Hannestad , W. Haxton , K. M. Heeger , R. Henning , P. Hernandez , P. Huber , W. Huelsnitz , A. Ianni , T. V. Ibragimova , Y. Karadzhov , G. Karagiorgi , G. Keefer , Y. D. Kim , J. Kopp , V. N. Kornoukhov , A. Kusenko , P. Kyberd , P. Langacker , Th. Lasserre , M. Laveder , A. Letourneau , D. Lhuillier , Y. F. Li , M. Lindner , J. M. Link , B. L. Littlejohn , P. Lombardi , K. Long , J. Lopez-Pavon , W. C. Louis , L. Ludhova , J. D. Lykken , P. A. N. Machado , M. Maltoni , W. A. Mann , D. Marfatia , C. Mariani , V. A. Matveev , N. E. Mavromatos , A. Melchiorri , D. Meloni , O. Mena , G. Mention , A. Merle , E. Meroni , M. Mezzetto , G. B. Mills , D. Minic , L. Miramonti , D. Mohapatra , R. N. Mohapatra , C. Montanari , Y. Mori , Th. A. Mueller , H. P. Mumm , V. Muratova , A. E. Nelson , J. S. Nico , E. Noah , J. Nowak , O. Yu. Smirnov , M. Obolensky , S. Pakvasa , O. Palamara , M. Pallavicini , S. Pascoli , L. Patrizii , Z. Pavlovic , O. L. G. Peres , H. Pessard , F. Pietropaolo , M. L. Pitt , M. Popovic , J. Pradler , G. Ranucci , H. Ray , S. Razzaque , B. Rebel , R. G. H. Robertson , W. Rodejohann , S. D. Rountree , C. Rubbia , O. Ruchayskiy , P. R. Sala , K. Scholberg , T. Schwetz , M. H. Shaevitz , M. Shaposhnikov , R. Shrock , S. Simone , M. Skorokhvatov , M. Sorel , A. Sousa , D. N. Spergel , J. Spitz , L. Stanco , I. Stancu , A. Suzuki , T. Takeuchi , I. Tamborra , J. Tang , G. Testera , X. C. Tian , A. Tonazzo , C. D. Tunnell , R. G. Van de Water , L. Verde , E. P. Veretenkin , C. Vignoli , M. Vivier , R. B. Vogelaar , M. O. Wascko , J. F. Wilkerson , W. Winter , Y. Y. Y. Wong , T. T. Yanagida , O. Yasuda , M. Yeh , F. Yermia , Z. W. Yokley , G. P. Zeller , L. Zhan , H. Zhang

Chinese people are talking about a national birth rate of 6.4 per 1,000 people in 2023, the lowest in the world. Whether this is related to the wrong use of various artificial night light rays passing through our eyes is worth reflection.…

A brief report on recent work on the sphere-packing problem.

Combinatorics · Mathematics 2007-07-16 N. J. A. Sloane

Two works related to the concept of probability in the framework of the many-worlds interpretation are presented. The first deals with recent controversy in classical probability theory. Elga and D. Lewis argues that Sleeping Beauty should…

Quantum Physics · Physics 2007-05-23 Lev Vaidman