1 citations · 1 across the 9 of their papers we have counts for
9 papers
Absolute values and tensor powers of irreducible characters
Alexander Kushkuley
Let be a character of a complex irreducible representation of a finite group . We present a simple formula for the expectation of the random variable in t…
Identities of Irreducible Representations and Gassmann Equivalence
Alexander Kushkuley
Identities of complex irreducible representations of finite groups can be explicitly constructed from character value sets. Among other things, these identities determine represent…
Some Remarks on Commuting Probability
Alexander Kushkuley
We introduce a weighted sum of irreducible character ratios as an estimator for commutator probabilities. The estimator yields Frobenius formula when applied to a regular represent…
Some Remarks on Random Vectors and -Invariants
Alexander Kushkuley
Computations involving invariant random vectors are directly related to the theory of invariants (cf. e.g \cite{Weing_1}). Some simple observations along these lines are presented…
Improving Recommendation Relevance by simulating User Interest
Alexander Kushkuley, Joshua Correa
Most if not all on-line item-to-item recommendation systems rely on estimation of a distance like measure (rank) of similarity between items. For on-line recommendation systems, ti…
A Remark on Random Vectors and Irreducible Representations
Alexander Kushkuley
The expectation of a squared scalar product of two random independent unit vectors that are uniformly distributed on a unit sphere in is equal to . We show tha…
Heavy Hitters and Bernoulli Convolutions
Alexander Kushkuley
A very simple event frequency approximation algorithm that is sensitive to event timeliness is suggested. The algorithm iteratively updates categorical click-distribution, producin…
Block Approximation of Tall Sparse Matrices and Block-Givens Rotations
Alexander Kushkuley
Estimation of top singular values is one of the widely used techniques and one of the intensively researched problems in Numerical Linear Algebra and Data Science. We consider here…
A Note on Lerner Index, Cross-Elasticity and Revenue Optimization Invariants
Alexander Kushkuley, Su-Ming Wu
We study common properties of retail pricing models within a general framework of calculus of variations. In particular, we observe that for any demand model, optimal de-seasoned r…