<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:content="http://purl.org/rss/1.0/modules/content/"><channel><title>Publications on Dmitry Batenkov</title><link>https://dimabatenkov.info/publications/</link><description>Recent content in Publications on Dmitry Batenkov</description><generator>Hugo</generator><language>en-us</language><lastBuildDate>Wed, 01 Jul 2026 00:00:00 +0000</lastBuildDate><atom:link href="https://dimabatenkov.info/publications/index.xml" rel="self" type="application/rss+xml"/><item><title>Spectral Properties of Infinitely Smooth Kernel Matrices in the Single Cluster Limit, with Applications to Multivariate Super-Resolution</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Identification of Reaction-Diffusion Systems from Finitely Many Non-Local Noisy Measurements via Exponential Fitting</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Toward Multimodal Models of Animal Communication: Insights from New York City Rats</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Inferring Cognitive Strategies from Groups of Animals in Natural Environments</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Algebraic Reconstruction of Piecewise-Smooth Functions of Two Variables from Fourier Data</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>A Counterfactual Semantics for Hybrid Dynamical Systems</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Computational Urban Ecology of New York City Rats</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Physics-Informed Neural Networks for Modeling Atmospheric Radiative Transfer</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Retrievals of Biomass Burning Aerosol and Liquid Cloud Properties from Polarimetric Observations Using Deep Learning Techniques</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Separation-Free Exponential Fitting with Structured Noise, with Applications to Inverse Problems in Parabolic PDEs</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>On the Accuracy of Prony's Method for Recovery of Exponential Sums with Closely Spaced Exponents</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Data-Driven Delay Estimation in Reaction-Diffusion Systems via Exponential Fitting</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>A Physically Informed Deep-Learning Approach for Locating Sources in a Waveguide</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Super-Resolution of Generalized Spikes and Spectra of Confluent Vandermonde Matrices</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Decimated Prony's Method for Stable Super-Resolution</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Single-Exponential Bounds for the Smallest Singular Value of Vandermonde Matrices in the Sub-Rayleigh Regime</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Super-Resolution of near-Colliding Point Sources</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>The Spectral Properties of Vandermonde Matrices with Clustered Nodes</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Conditioning of Partial Nonuniform Fourier Matrices with Clustered Nodes</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Rethinking Super-Resolution: The Bandwidth Selection Problem</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Stable Soft Extrapolation of Entire Functions</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Stability and Super-Resolution of Generalized Spike Recovery</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Soft Extrapolation of Bandlimited Functions</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Accurate Solution of Near-Colliding Prony Systems via Decimation and Homotopy Continuation</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>On the Global-Local Dichotomy in Sparsity Modeling</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Taylor domination, Turán lemma, and Poincaré-Perron sequences</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Accuracy of spike-train Fourier reconstruction for colliding nodes</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Complete Algebraic Reconstruction of Piecewise-Smooth Functions from Fourier Data</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Local and Global Geometry of Prony Systems and Fourier Reconstruction of Piecewise-Smooth Functions</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Sampling, Metric Entropy and Dimensionality Reduction</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Accuracy of Algebraic Fourier Reconstruction for Shifts of Several Signals</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Geometry and Singularities of the Prony mapping</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Prony Systems via Decimation and Homotopy Continuation</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Algebraic signal sampling, Gibbs phenomenon and Prony-type systems</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Decoupling of Fourier Reconstruction System for Shifts of Several Signals</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>On the accuracy of solving confluent Prony systems</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Reconstruction of Planar Domains from Partial Integral Measurements</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Automatic animation of high resolution images</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Moment Vanishing of Piecewise Solutions of Linear ODEs</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Taylor Domination, Difference Equations, and Bautin Ideals</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Algebraic Fourier reconstruction of piecewise smooth functions</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>An "algebraic" reconstruction of piecewise-smooth functions from integral measurements</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Algebraic Reconstruction of Piecewise-Smooth Functions from Fourier Data</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Open BEAGLE: a generic framework for evolutionary computations</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>Moment inversion problem for piecewise D-finite functions</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 +0000</pubDate><guid/><description/></item><item><title>An "algebraic" reconstruction of piecewise-smooth functions from integral measurements</title><link/><pubDate>Sun, 05 Apr 2026 01:08:12 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