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Many evaluation methods have been used to assess the usefulness of Visual Analytics (VA) solutions. These methods stem from a variety of origins with different assumptions and goals, which cause confusion about their proofing capabilities.…

Human-Computer Interaction · Computer Science 2019-10-09 Mosab Khayat , Morteza Karimzadeh , David S. Ebert , Arif Ghafoor

On June 2, 2012 it would have been the eighty fifth birthday of Edwald Abramovitch Zavadskii (1927-2005), corresponding member of the National Academy of Sciences, brilliant experimental physicist and a person with a very uncommon and…

Materials Science · Physics 2012-11-30 V. I. Kamenev , V. I. Val'kov , Yu. A Mamaluy

In this paper, we obtain some new estimates for the trace and inverse trace of Steklov eigenvalues. The estimates generalize some previous results of Hersch-Payne-Schiffer , Brock}, Raulot-Savo and Dittmar.

Differential Geometry · Mathematics 2016-02-23 Yongjie Shi , Chengjie Yu

This paper is an introduction to our ongoing more comprehensive work on a critically important period in the history of Russian mathematics education; it provides a glimpse into the socio-political environment in which the famous Soviet…

History and Overview · Mathematics 2021-05-25 Alexandre V. Borovik , Serguei D. Karakozov , Serguei A. Polikarpov

Deep learning has made tremendous progress in the last decade. A key success factor is the large amount of architectures, layers, objectives, and optimization techniques. They include a myriad of variants related to attention,…

Machine Learning · Computer Science 2024-02-13 Johannes Schneider , Michalis Vlachos

This paper, which is dedicated to Alan Turing on the 50th anniversary of his death, gives an overview and discusses the philosophical implications of incompleteness, uncomputability and randomness.

History and Overview · Mathematics 2007-05-23 G. J. Chaitin

Mikhail Lomonosov (1711-1765) was the eminent Russian polymath and a towering figure of the European Enlightenment. This English translation of Mikhail Lomonosov seminal work "Oration on the Origin of Light " draws from its original Russian…

History and Philosophy of Physics · Physics 2024-04-30 Mikhail Lomonosov , Vladimir Shiltsev

We show that the Hedge algorithm, a method that is widely used in Machine Learning, can be interpreted as a particular instance of Dual Averaging schemes, which have recently been introduced by Nesterov for regret minimization. Based on…

Optimization and Control · Mathematics 2011-12-07 Michel Baes , Michael Bürgisser

This collection presents a selected set of unsolved problems in semigroup theory, a fundamental branch of modern algebra. The publication is dedicated to the 110th anniversary of the birth of E. S. Lyapin, one of the founders of the field…

Group Theory · Mathematics 2026-04-07 S. Bershadsky , S. Kublanovsky , G. Mashevitzky

Impact of academic research onto the non-academic world is of increasing importance as authorities seek return on public investment. Impact opens new opportunities for what are known as "professional services": as scientometrical tools…

History and Philosophy of Physics · Physics 2020-05-26 R. Kenna

These notes give an introduction to the mathematical framework of the Batalin-Vilkovisky and Batalin-Fradkin-Vilkovisky formalisms. Some of the presented content was given as a mini course by the first author at the 2018 QSPACE conference…

Mathematical Physics · Physics 2020-10-30 Alberto S. Cattaneo , Nima Moshayedi

The recollection of souvenirs on great theoretical physicist, addressed to wide physical audience on the occasion of Bogoliubov centenary. Contains four parts: 1. Personal impressions; 2. Joint work; 3. Bogoliubov cp. Landau and 4.…

History and Philosophy of Physics · Physics 2009-12-15 D. V. Shirkov

Variational inference (VI) has become the method of choice for fitting many modern probabilistic models. However, practitioners are faced with a fragmented literature that offers a bewildering array of algorithmic options. First, the…

Machine Learning · Statistics 2018-11-29 Thang D. Bui , Cuong V. Nguyen , Siddharth Swaroop , Richard E. Turner

The purpose of this paper is to study Hom-Novikov algebras and Hom-Novikov-Poisson algebras, both of which were defined by Yau. In the paper, we give several constructions leading us to some interesting examples of Hom-Novikov algebras and…

Rings and Algebras · Mathematics 2012-05-01 Lamei Yuan , Hong You

This is the opening article of the abstract book of conference "Set-Theoretic Topology and Topological Algebra" in honor of professor Alexander Arhangelskii on the occasion of his 80th birthday held in 2018 at Moscow State University.

History and Overview · Mathematics 2021-05-11 Ol'ga Sipacheva

The mathematical achievements of Harry Kesten since the mid-1950s have revolutionized probability theory as a subject in its own right and in its associations with aspects of algebra, analysis, geometry, and statistical physics. Through his…

History and Overview · Mathematics 2020-03-23 Geoffrey R. Grimmett , Gregory F. Lawler

An overview is provided for 200 years of galactic studies at the Tartu Observatory. Galactic studies have been one of the main topics of studies in Tartu over the whole period of the history of the Observatory, starting from F.G.W. Struve…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-20 J. Einasto

We introduce a hull operator on Poisson point processes, the easiest example being the convex hull of the support of a point process in Euclidean space. Assuming that the intensity measure of the process is known on the set generated by the…

Probability · Mathematics 2024-02-02 Günter Last , Ilya Molchanov

This is a survey on the recent fundamental paper by V.V. Shokurov on the existence of log flips.

Algebraic Geometry · Mathematics 2007-05-23 Caucher Birkar

This article in memory of Patrick Dehornoy (1952-2019) is an invitation to Garside theory for mainstream geometric group theorists interested in mapping class groups, curve complexes, and the geometry of Artin-Tits groups.

Group Theory · Mathematics 2020-08-21 Bert Wiest