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.

Publications

Algebraic Fourier reconstruction of piecewise smooth functions

Mathematics of Computation / Jan 01, 2012

Batenkov, D., & Yomdin, Y. (2012). Algebraic Fourier reconstruction of piecewise smooth functions. Mathematics of Computation, 81(277), 277–318. https://doi.org/10.1090/s0025-5718-2011-02539-1

On the Accuracy of Solving Confluent Prony Systems

SIAM Journal on Applied Mathematics / Jan 01, 2013

Batenkov, D., & Yomdin, Y. (2013). On the Accuracy of Solving Confluent Prony Systems. SIAM Journal on Applied Mathematics, 73(1), 134–154. https://doi.org/10.1137/110836584

Super-resolution of near-colliding point sources

Information and Inference: A Journal of the IMA / May 11, 2020

Batenkov, D., Goldman, G., & Yomdin, Y. (2020). Super-resolution of near-colliding point sources. Information and Inference: A Journal of the IMA, 10(2), 515–572. https://doi.org/10.1093/imaiai/iaaa005

Conditioning of Partial Nonuniform Fourier Matrices with Clustered Nodes

SIAM Journal on Matrix Analysis and Applications / Jan 01, 2020

Batenkov, D., Demanet, L., Goldman, G., & Yomdin, Y. (2020). Conditioning of Partial Nonuniform Fourier Matrices with Clustered Nodes. SIAM Journal on Matrix Analysis and Applications, 41(1), 199–220. https://doi.org/10.1137/18m1212197

Complete algebraic reconstruction of piecewise-smooth functions from Fourier data

Mathematics of Computation / Feb 19, 2015

Batenkov, D. (2015). Complete algebraic reconstruction of piecewise-smooth functions from Fourier data. Mathematics of Computation, 84(295), 2329–2350. https://doi.org/10.1090/s0025-5718-2015-02948-2

Stability and super-resolution of generalized spike recovery

Applied and Computational Harmonic Analysis / Sep 01, 2018

Batenkov, D. (2018). Stability and super-resolution of generalized spike recovery. Applied and Computational Harmonic Analysis, 45(2), 299–323. https://doi.org/10.1016/j.acha.2016.09.004

Geometry and Singularities of the Prony mapping

Journal of Singularities / Jan 01, 2014

Batenkov, D., & Yomdin, Y. (2014). Geometry and Singularities of the Prony mapping. Journal of Singularities. https://doi.org/10.5427/jsing.2014.10a

Moment inversion problem for piecewise D -finite functions

Inverse Problems / Sep 16, 2009

Batenkov, D. (2009). Moment inversion problem for piecewise D -finite functions. Inverse Problems, 25(10), 105001. https://doi.org/10.1088/0266-5611/25/10/105001

The spectral properties of Vandermonde matrices with clustered nodes

Linear Algebra and its Applications / Jan 01, 2021

Batenkov, D., Diederichs, B., Goldman, G., & Yomdin, Y. (2021). The spectral properties of Vandermonde matrices with clustered nodes. Linear Algebra and Its Applications, 609, 37–72. https://doi.org/10.1016/j.laa.2020.08.034

Accuracy of spike-train Fourier reconstruction for colliding nodes

2015 International Conference on Sampling Theory and Applications (SampTA) / May 01, 2015

Akinshin, A., Batenkov, D., & Yomdin, Y. (2015, May). Accuracy of spike-train Fourier reconstruction for colliding nodes. 2015 International Conference on Sampling Theory and Applications (SampTA). https://doi.org/10.1109/sampta.2015.7148965

Accurate solution of near-colliding Prony systems via decimation and homotopy continuation

Theoretical Computer Science / Jun 01, 2017

Batenkov, D. (2017). Accurate solution of near-colliding Prony systems via decimation and homotopy continuation. Theoretical Computer Science, 681, 27–40. https://doi.org/10.1016/j.tcs.2017.03.026

On the Global-Local Dichotomy in Sparsity Modeling

Compressed Sensing and its Applications / Jan 01, 2017

Batenkov, D., Romano, Y., & Elad, M. (2017). On the Global-Local Dichotomy in Sparsity Modeling. In Applied and Numerical Harmonic Analysis (pp. 1–53). Springer International Publishing. https://doi.org/10.1007/978-3-319-69802-1_1

The Fast Fourier Transform

Computational Methods of Linear Algebra / Jul 08, 2005

The Fast Fourier Transform. (2005, July 8). Computational Methods of Linear Algebra; Wiley; Portico. https://doi.org/10.1002/0471742147.ch5

Reconstruction of Planar Domains from Partial Integral Measurements

Complex Analysis and Dynamical Systems V / Jan 01, 2013

Batenkov, D., Golubyatnikov, V., & Yomdin, Y. (2013). Reconstruction of Planar Domains from Partial Integral Measurements. Contemporary Mathematics; American Mathematical Society. https://doi.org/10.1090/conm/591/11826

Rethinking Super-resolution: the Bandwidth Selection Problem

ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) / May 01, 2019

Batenkov, D., Bhandari, A., & Blu, T. (2019, May). Rethinking Super-resolution: the Bandwidth Selection Problem. ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). https://doi.org/10.1109/icassp.2019.8683322

Preprint repository arXiv achieves milestone million uploads

Physics Today / Jan 01, 2014

Preprint repository arXiv achieves milestone million uploads. (2014). Physics Today. https://doi.org/10.1063/pt.5.028530

Taylor domination, Turán lemma, and Poincaré-Perron sequences

Nonlinear Analysis and Optimization / Jan 01, 2016

Batenkov, D., & Yomdin, Y. (2016). Taylor domination, Turán lemma, and Poincaré-Perron sequences. Contemporary Mathematics; American Mathematical Society. https://doi.org/10.1090/conm/659/13162

Accuracy of Algebraic Fourier Reconstruction for Shifts of Several Signals

Sampling Theory in Signal and Image Processing / May 01, 2014

Batenkov, D., Sarig, N., & Yomdin, Y. (2014). Accuracy of Algebraic Fourier Reconstruction for Shifts of Several Signals. Sampling Theory in Signal and Image Processing, 13(2), 151–173. https://doi.org/10.1007/bf03549577

Decimated Prony's Method for Stable Super-Resolution

IEEE Signal Processing Letters / Jan 01, 2023

Katz, R., Diab, N., & Batenkov, D. (2023). Decimated Prony’s Method for Stable Super-Resolution. IEEE Signal Processing Letters, 30, 1467–1471. https://doi.org/10.1109/lsp.2023.3324553

Moment Vanishing of Piecewise Solutions of Linear ODEs

Springer Proceedings in Mathematics & Statistics / Jan 01, 2016

Batenkov, D., & Binyamini, G. (2016). Moment Vanishing of Piecewise Solutions of Linear ODEs. In Difference Equations, Discrete Dynamical Systems and Applications (pp. 15–28). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-52927-0_2

On inverses of Vandermonde and confluent Vandermonde matrices

Numerische Mathematik / Dec 01, 1962

Gautschi, W. (1962). On inverses of Vandermonde and confluent Vandermonde matrices. Numerische Mathematik, 4(1), 117–123. https://doi.org/10.1007/bf01386302

Boosting productivity with the Boost Graph Library

XRDS: Crossroads, The ACM Magazine for Students / Mar 01, 2011

Batenkov, D. (2011). Boosting productivity with the Boost Graph Library. XRDS: Crossroads, The ACM Magazine for Students, 17(3), 31–32. https://doi.org/10.1145/1925041.1925054

Spatial Openness as a Practical Metric for Evaluating Built-up Environments

Environment and Planning B: Planning and Design / Feb 01, 2003

Fisher-Gewirtzman, D., & Wagner, I. A. (2003). Spatial Openness as a Practical Metric for Evaluating Built-up Environments. Environment and Planning B: Planning and Design, 30(1), 37–49. https://doi.org/10.1068/b12861

On Arxiv Moderation System

Jan 01, 2023

Silagadze, Z. (2023). On Arxiv Moderation System. https://doi.org/10.2139/ssrn.4392249

Difference Equations, Discrete Dynamical Systems and Applications

Springer Proceedings in Mathematics & Statistics / Jan 01, 2016

Difference Equations, Discrete Dynamical Systems and Applications: ICDEA, Barcelona, Spain, July 2012. (2016). In L. Alsedà i Soler, J. M. Cushing, S. Elaydi, & A. A. Pinto (Eds.), Springer Proceedings in Mathematics & Statistics. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-52927-0

Machine Learning for Dynamic Software Analysis: Potentials and Limits

Lecture Notes in Computer Science / Jan 01, 2018

Machine Learning for Dynamic Software Analysis: Potentials and Limits: International Dagstuhl Seminar 16172, Dagstuhl Castle, Germany, April 24-27, 2016, Revised Papers. (2018). In A. Bennaceur, R. Hähnle, & K. Meinke (Eds.), Lecture Notes in Computer Science. Springer International Publishing. https://doi.org/10.1007/978-3-319-96562-8

Taylor Domination, Difference Equations, and Bautin Ideals

Springer Proceedings in Mathematics & Statistics / Jan 01, 2016

Batenkov, D., & Yomdin, Y. (2016). Taylor Domination, Difference Equations, and Bautin Ideals. In Difference Equations, Discrete Dynamical Systems and Applications (pp. 303–319). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-52927-0_21

Local and Global Geometry of Prony Systems and Fourier Reconstruction of Piecewise-Smooth Functions

Operator-Related Function Theory and Time-Frequency Analysis / Sep 02, 2014

Batenkov, D., & Yomdin, Y. (2014). Local and Global Geometry of Prony Systems and Fourier Reconstruction of Piecewise-Smooth Functions. In Abel Symposia (pp. 57–76). Springer International Publishing. https://doi.org/10.1007/978-3-319-08557-9_2

Automatic animation of high resolution images

2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel / Nov 01, 2012

Batenkov, D., Dinkin, G., & Yomdin, Y. (2012, November). Automatic animation of high resolution images. 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel. https://doi.org/10.1109/eeei.2012.6376903

Soft extrapolation of bandlimited functions

2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP) / Dec 01, 2017

Batenkov, D., & Demanet, L. (2017, December). Soft extrapolation of bandlimited functions. 2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP). https://doi.org/10.1109/camsap.2017.8313182

Hands-on introduction to genetic programming

XRDS: Crossroads, The ACM Magazine for Students / Sep 01, 2010

Batenkov, D. (2010). Hands-on introduction to genetic programming. XRDS: Crossroads, The ACM Magazine for Students, 17(1), 46. https://doi.org/10.1145/1836543.1836558

Parameter estimation for bivariate exponential sums

2015 International Conference on Sampling Theory and Applications (SampTA) / May 01, 2015

Diederichs, B., & Iske, A. (2015, May). Parameter estimation for bivariate exponential sums. 2015 International Conference on Sampling Theory and Applications (SampTA). https://doi.org/10.1109/sampta.2015.7148940

Analyzing EEG data

XRDS: Crossroads, The ACM Magazine for Students / Sep 01, 2011

Batenkov, D. (2011). Analyzing EEG data. XRDS: Crossroads, The ACM Magazine for Students, 18(1), 36–37. https://doi.org/10.1145/2000775.2000788

Web maps of renewable energy

XRDS: Crossroads, The ACM Magazine for Students / Jun 01, 2011

Batenkov, D. (2011). Web maps of renewable energy. XRDS: Crossroads, The ACM Magazine for Students, 17(4), 56–57. https://doi.org/10.1145/1961678.1961689

Programmatic access to Wikipedia

XRDS: Crossroads, The ACM Magazine for Students / Dec 01, 2010

Batenkov, D. (2010). Programmatic access to Wikipedia. XRDS: Crossroads, The ACM Magazine for Students, 17(2), 52–53. https://doi.org/10.1145/1869086.1869104

Real-time detection with webcam

XRDS: Crossroads, The ACM Magazine for Students / Jun 01, 2010

Batenkov, D. (2010). Real-time detection with webcam. XRDS: Crossroads, The ACM Magazine for Students, 16(4), 50–51. https://doi.org/10.1145/1764848.1764861

The disunity of consciousness

Progress in Brain Research / Jan 01, 2007

Zeki, S. (2007). The disunity of consciousness. In Models of Brain and Mind - Physical, Computational and Psychological Approaches (pp. 11–268). Elsevier. https://doi.org/10.1016/s0079-6123(07)68002-9

Author Index to Manuscripts of the Plenary Lectures

Bone / Jul 01, 1999

Author Index to Manuscripts of the Plenary Lectures. (1999). Bone, 25(1), 153. https://doi.org/10.1016/s8756-3282(99)90003-0

Super-Resolution of Generalized Spikes and Spectra of Confluent Vandermonde Matrices

SSRN Electronic Journal / Jan 01, 2022

Diab, N., & Batenkov, D. (2022). Super-Resolution of Generalized Spikes and Spectra of Confluent Vandermonde Matrices. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.4106833

- RESOURCE LIST — PATIENT INFORMATION MATERIALS

Rehabilitation Oncology / Jan 01, 1987

Adcock, J. (1987). - RESOURCE LIST — PATIENT INFORMATION MATERIALS. Rehabilitation Oncology, 5(1), 17. https://doi.org/10.1097/01893697-198705010-00026

A physically informed deep-learning approach for locating sources in a waveguide

The Journal of the Acoustical Society of America / Oct 01, 2023

Kahana, A., Papadimitropoulos, S., Turkel, E., & Batenkov, D. (2023). A physically informed deep-learning approach for locating sources in a waveguide. The Journal of the Acoustical Society of America, 154(4), 2553–2563. https://doi.org/10.1121/10.0021889

Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices

Applied and Computational Harmonic Analysis / Jul 01, 2023

Batenkov, D., & Diab, N. (2023). Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices. Applied and Computational Harmonic Analysis, 65, 181–208. https://doi.org/10.1016/j.acha.2023.03.002

Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime

Applied and Computational Harmonic Analysis / Nov 01, 2021

Batenkov, D., & Goldman, G. (2021). Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime. Applied and Computational Harmonic Analysis, 55, 426–439. https://doi.org/10.1016/j.acha.2021.07.003

Stable soft extrapolation of entire functions

Inverse Problems / Dec 07, 2018

Batenkov, D., Demanet, L., & Mhaskar, H. N. (2018). Stable soft extrapolation of entire functions. Inverse Problems, 35(1), 015011. https://doi.org/10.1088/1361-6420/aaedde

Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation

Journal of Differential Equations / Dec 01, 2015

Batenkov, D., & Binyamini, G. (2015). Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation. Journal of Differential Equations, 259(11), 5769–5781. https://doi.org/10.1016/j.jde.2015.07.009

Sampling, Metric Entropy, and Dimensionality Reduction

SIAM Journal on Mathematical Analysis / Jan 01, 2015

Batenkov, D., Friedland, O., & Yomdin, Y. (2015). Sampling, Metric Entropy, and Dimensionality Reduction. SIAM Journal on Mathematical Analysis, 47(1), 786–796. https://doi.org/10.1137/130944436

Integral Geometry Problems with Incomplete Data

Journal of Mathematical Sciences / Sep 02, 2014

Batenkov, D. V., Golubyatnikov, V. P., & Yomdin, Y. N. (2014). Integral Geometry Problems with Incomplete Data. Journal of Mathematical Sciences, 202(1), 25–39. https://doi.org/10.1007/s10958-014-2031-8

Prony systems via decimation and homotopy continuation

Proceedings of the 2014 Symposium on Symbolic-Numeric Computation / Jul 28, 2014

Batenkov, D. (2014, July 28). Prony systems via decimation and homotopy continuation. Proceedings of the 2014 Symposium on Symbolic-Numeric Computation. https://doi.org/10.1145/2631948.2631961

Open BEAGLE: a generic framework for evolutionary computations

Genetic Programming and Evolvable Machines / Mar 29, 2011

Batenkov, D. (2011). Open BEAGLE: a generic framework for evolutionary computations. Genetic Programming and Evolvable Machines, 12(3), 329–331. https://doi.org/10.1007/s10710-011-9135-4

Education

Weizmann Institute of Science

Ph.D., Applied Mathematics / January, 2014

Rehovot

Experience

Tel Aviv University

Assistant Professor / July, 2019Present

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

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