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.
Research Interests
About
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
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
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
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