Dmitry Batenkov, Ph.D.

A highly experienced applied mathematician working in academia (faculty) and industry (consulting), with 15+ years of research and teaching expertise in inverse problems, signal processing, and data science.

New York City, New York, United States of America

Research Expertise

Applied Harmonic Analysis
Sparse Representations
Numerical Analysis
Approximation Theory
Inverse Problems
Algebra and Number Theory
Computational Mathematics
Applied Mathematics
Analysis
Statistics and Probability
Computational Theory and Mathematics
Geometry and Topology
Computer Science Applications
Signal Processing
Theoretical Computer Science
Mathematical Physics
Discrete Mathematics and Combinatorics
Software
Hardware and Architecture
Radiology, Nuclear Medicine and imaging
Electrical and Electronic Engineering
Geography, Planning and Development
Acoustics and Ultrasonics
Histology
Endocrinology, Diabetes and Metabolism
Physiology
Pharmacology (medical)
Rehabilitation
Oncology (nursing)
Physical Therapy, Sports Therapy and Rehabilitation
Oncology

About

I am passionate about solving big problems with scientific and computational tools. A highly experienced applied mathematician working in academia (faculty) and industry (consulting), with 15+ years of research and teaching expertise in inverse problems, signal processing, and data science. A highly-skilled software engineer and analyst/architect with 6+ years of experience as a technical lead in professional software development.

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Publications

Algebraic Fourier reconstruction of piecewise smooth functions
Mathematics of Computation
2012
On the Accuracy of Solving Confluent Prony Systems
SIAM Journal on Applied Mathematics
2013
Super-resolution of near-colliding point sources
Information and Inference: A Journal of the IMA
2020
Conditioning of Partial Nonuniform Fourier Matrices with Clustered Nodes
SIAM Journal on Matrix Analysis and Applications
2020
Complete algebraic reconstruction of piecewise-smooth functions from Fourier data
Mathematics of Computation
2015
Stability and super-resolution of generalized spike recovery
Applied and Computational Harmonic Analysis
2018
Geometry and Singularities of the Prony mapping
Journal of Singularities
2014
Moment inversion problem for piecewise D -finite functions
Inverse Problems
2009
The spectral properties of Vandermonde matrices with clustered nodes
Linear Algebra and its Applications
2021
Accuracy of spike-train Fourier reconstruction for colliding nodes
2015 International Conference on Sampling Theory and Applications (SampTA)
2015
Accurate solution of near-colliding Prony systems via decimation and homotopy continuation
Theoretical Computer Science
2017
On the Global-Local Dichotomy in Sparsity Modeling
Compressed Sensing and its Applications
2017
The Fast Fourier Transform
Computational Methods of Linear Algebra
2005
Reconstruction of Planar Domains from Partial Integral Measurements
Complex Analysis and Dynamical Systems V
2013
Rethinking Super-resolution: the Bandwidth Selection Problem
ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
2019
Preprint repository arXiv achieves milestone million uploads
Physics Today
2014
Taylor domination, Turán lemma, and Poincaré-Perron sequences
Nonlinear Analysis and Optimization
2016
Accuracy of Algebraic Fourier Reconstruction for Shifts of Several Signals
Sampling Theory in Signal and Image Processing
2014
Decimated Prony's Method for Stable Super-Resolution
IEEE Signal Processing Letters
2023
Moment Vanishing of Piecewise Solutions of Linear ODEs
Springer Proceedings in Mathematics & Statistics
2016
On inverses of Vandermonde and confluent Vandermonde matrices
Numerische Mathematik
1962
Boosting productivity with the Boost Graph Library
XRDS: Crossroads, The ACM Magazine for Students
2011
Spatial Openness as a Practical Metric for Evaluating Built-up Environments
Environment and Planning B: Planning and Design
2003
On Arxiv Moderation System
Unknown Venue
2023
Difference Equations, Discrete Dynamical Systems and Applications
Springer Proceedings in Mathematics & Statistics
2016
Machine Learning for Dynamic Software Analysis: Potentials and Limits
Lecture Notes in Computer Science
2018
Taylor Domination, Difference Equations, and Bautin Ideals
Springer Proceedings in Mathematics & Statistics
2016
Local and Global Geometry of Prony Systems and Fourier Reconstruction of Piecewise-Smooth Functions
Operator-Related Function Theory and Time-Frequency Analysis
2014
Automatic animation of high resolution images
2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel
2012
Soft extrapolation of bandlimited functions
2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)
2017
Hands-on introduction to genetic programming
XRDS: Crossroads, The ACM Magazine for Students
2010
Parameter estimation for bivariate exponential sums
2015 International Conference on Sampling Theory and Applications (SampTA)
2015
Analyzing EEG data
XRDS: Crossroads, The ACM Magazine for Students
2011
Web maps of renewable energy
XRDS: Crossroads, The ACM Magazine for Students
2011
Programmatic access to Wikipedia
XRDS: Crossroads, The ACM Magazine for Students
2010
Real-time detection with webcam
XRDS: Crossroads, The ACM Magazine for Students
2010
The disunity of consciousness
Progress in Brain Research
2007
Author Index to Manuscripts of the Plenary Lectures
Bone
1999
Super-Resolution of Generalized Spikes and Spectra of Confluent Vandermonde Matrices
SSRN Electronic Journal
2022
- RESOURCE LIST — PATIENT INFORMATION MATERIALS
Rehabilitation Oncology
1987
A physically informed deep-learning approach for locating sources in a waveguide
The Journal of the Acoustical Society of America
2023
Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices
Applied and Computational Harmonic Analysis
2023
Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime
Applied and Computational Harmonic Analysis
2021
Stable soft extrapolation of entire functions
Inverse Problems
2018
Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation
Journal of Differential Equations
2015
Sampling, Metric Entropy, and Dimensionality Reduction
SIAM Journal on Mathematical Analysis
2015
Integral Geometry Problems with Incomplete Data
Journal of Mathematical Sciences
2014
Prony systems via decimation and homotopy continuation
Proceedings of the 2014 Symposium on Symbolic-Numeric Computation
2014
Open BEAGLE: a generic framework for evolutionary computations
Genetic Programming and Evolvable Machines
2011

Education

Weizmann Institute of Science

Ph.D., Applied Mathematics / January, 2014

Rehovot

Experience

Tel Aviv University

Assistant Professor / July, 2019 — Present

Producing high-impact research in inverse problems, super-resolution, numerical analysis, signal processing, physics-informed machine learning, computational harmonic analysis, optimization, atmospheric remote sensing • Advised 4 postdocs, 2 PhD, 4 M.Sc. students and 3 undergraduates • Developed and taught an advanced graduate class on Inverse Problems and Super-Resolution

Links & Social Media

Research Web Site

Personal Website

ORCID
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