output
20022026
most citedRecVAE: a New Variational Autoencoder for Top-N Recommendations with Implicit Feedback

184 citations

97 papers

math.NT2026

In Search of Approximate Polynomial Dependencies Among the Derivatives of the Alternating Zeta Function

Yuri Matiyasevich

It is well-known that the Riemann zeta function does not satisfy any exact polynomial differential equation. Here we present numerical evidence for the existence of approximate pol…

math.AG2025

Non-Stable -Functors of Discrete Valuation Rings Containing a Field

Philippe Gille, Anastasia Stavrova

Let be a field, and let be a simply connected semisimple k-group which is isotropic and contains a strictly proper parabolic -subgroup . Let be a discrete valuati…

math.AP2025

Hardy-Sobolev inequalities involving mixed radially and cylindrically symmetric weights

Gabriele Cora, Roberta Musina, Alexander I. Nazarov

We deal with weighted Hardy-Sobolev type inequalities for functions on , . The weights involved are anisotropic, given by products of powers of the distance…

math.AP2025★ 8 cited

Inverse dynamic problems for canonical systems and de Branges spaces

A. S. Mikhaylov, V. S. Mikhaylov

We show the equivalence of inverse problems for different dynamical systems and corresponding canonical systems. For canonical system with general Hamiltonian we outline the strate…

math.AP2025★ 16 cited

On the inverse problem of the two-velocity tree-like graph

S. A. Avdonin, A. Choque Rivero, G. Leugering +1

In this article the authors continue the discussion in \cite{ALM} about inverse problems for second order elliptic and hyperbolic equations on metric trees from boundary measuremen…

math.AP2025★ 2 cited

On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices

A. S. Mikhaylov, V. S. Mikhaylov

We consider dynamical systems with boundary control associated with finite Jacobi matrices. Using the method previously developed by the authors, we associate with these systems sp…