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most citedIntroduction to Khovanov Homologies. I. Unreduced Jones superpolynomial

32 citations · 114 across the 9 of their papers we have counts for

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9 papers

cs.LG2026

A new Uncertainty Principle in Machine Learning

V. Dolotin, A. Morozov

Many scientific problems in the context of machine learning can be reduced to the search of polynomial answers in appropriate variables. The Hevisidization of arbitrary polynomial…

hep-th2022★ 1 cited

Machine learning of the well known things

V. Dolotin, A. Morozov, A. Popolitov

Machine learning (ML) in its current form implies that an answer to any problem can be well approximated by a function of a very peculiar form: a specially adjusted iteration of He…

math-ph2012★ 20 cited

Introduction to Khovanov Homologies. II. Reduced Jones superpolynomials

V. Dolotin, A. Morozov

A second part of detailed elementary introduction into Khovanov homologies. This part is devoted to reduced Jones superpolynomials. The story is still about a hypercube of resoluti…

hep-th2012★ 32 cited

Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial

V. Dolotin, A. Morozov

An elementary introduction to Khovanov construction of superpolynomials. Despite its technical complexity, this method remains the only source of a definition of superpolynomials f…

hep-th2007★ 11 cited

Higher Nilpotent Analogues of A-infinity Structure

V. Dolotin, A. Morozov, Sh. Shakirov

Higher nilpotent analogues of the -structure are explicitly defined on arbitrary simplicial complexes, generalizing explicit construction of /hep-th/0704.2609. These stru…

hep-th2006★ 31 cited

Introduction to Non-Linear Algebra

V. Dolotin, A. Morozov

Concise introduction to a relatively new subject of non-linear algebra: literal extension of text-book linear algebra to the case of non-linear equations and maps. This powerful sc…