Peer Reviewed Journal Publication

  • Provable Wavelet-Based Neural Approximation (Vol 514, 129821, 2026). / Hur, Youngmi; Lim, Hyojae; Lim, Mikyoung.
    in: Applied Mathematics and Computation, Jahrgang 516, 129881, 01.05.2026.
  • Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation. / Pereverzyev, Sergiy; Hulianytskyi, Andrii ; Siryk, Sergii et al.
    in: Applied Mathematics and Optimization, Jahrgang 93, 67, 06.04.2026.
  • Dispersive effective metasurface model for bubbly media. / Mukherjee, Arpan; Sini, Mourad.
    in: Journal of Differential Equations, Jahrgang 456, 113950, 05.03.2026.
  • Range characterization of the X-ray transform of symmetric complex valued tensor fields. / Sadiq, Kamran.
    in: Inverse Problems, Jahrgang 42, 015012, 2026.
  • On the Cauchy Problems for the Poisson equations with operator coefficients. / Sadiq, Kamran.
    in: Journal of Inverse and Ill-Posed Problems, Jahrgang 34, 2026.
  • Data driven regularization by projection (vol 36, 125009, 2020). / Hanke, Martin; Scherzer, Otmar.
    in: Inverse Problems, Jahrgang 41, Nr. 12, 129401, 31.12.2025.
  • The initial-to-final-state inverse problem with time-independent potentials. / Cañizares, Manuel; Caro, Pedro; Parissis, Ioannis et al.
    in: Inverse Problems, Jahrgang 41, 31.10.2025.
  • Effective medium theory for heat generation using plasmonics: a parabolic transmission problem driven by the Maxwell system. / Cao, Xinlin; Mukherjee, Arpan; Sini, Mourad.
    in: Mathematische Annalen, 30.10.2025.
  • Multiparameter regularization and aggregation in the context of polynomial functional regression. / Pereverzyev, Sergiy; Gizewski, Elke R. ; Holzleitner, Markus et al.
    in: Analysis and Applications, 23.10.2025.
  • The Calderón problem revisited: Reconstruction with resonant perturbations. / Ghandriche, Ahcene; Sini, Mourad.
    in: Journal of Spectral Theory, Jahrgang 15, Nr. 4, 07.10.2025.
  • Vertex Characterization Via Second-Order Topological Derivatives. / Gangl, Peter; Mejri, Bochra; Scherzer, Otmar.
    in: Journal of Mathematical Imaging and Vision, Jahrgang 67, Nr. 5, 53, 26.09.2025.
  • Minnaert Frequency and Simultaneous Reconstruction of the Density, Bulk and Source in the Time-Domain Wave Equation. / Senapati, Soumen; Sini, Mourad.
    in: Archive for Rational Mechanics and Analysis, Jahrgang 249, Nr. 5, 48, 05.08.2025.
  • On a quantitative partial imaging problem in vector tomography. / Sadiq, Kamran; Tamasan, Alexandru; Fujiwara, Hiroshi.
    in: Inverse Problems, Jahrgang 41, Nr. 7, 075008, 31.07.2025.
  • Effective medium theory for Van-der-Waals heterostructures. / Cao, Xinlin; Ghandriche, Ahcene; Sini, Mourad.
    in: Journal of Differential Equations, Jahrgang 433, 113260, 15.07.2025.
  • Extraction of the mass density using only the p-parts of the elastic fields generated by injected highly dense small inclusions. / Challa, Durga Prasad; Gangadaraiah, Divya; Sini, Mourad.
    in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Jahrgang 481, Nr. 2310, 20240712, 19.03.2025.
  • Identification of the Memory Order in Multi-Term Semilinear Subdiffusion. / Pereverzyev, Sergei; Sergii, V; Siryk, and Nataliya Vasylyeva.
    in: Numerical Functional Analysis and Optimization, Jahrgang 46, 06.01.2025, S. 1 -35.
  • Electromagnetic Waves Generated By a Hybrid Dielectric-plasmonic Dimer. / Cao, Xinlin; Ghandriche, Ahcene; Sini, Mourad.
    in: SIAM Journal on Applied Mathematics, Jahrgang 85, Nr. 5, 2025, S. 1949-1975.
  • Dispersive Effective Model in the Time-domain for Acoustic Waves Propagating in Bubbly Media. / Mukherjee, Arpan; Sini, Mourad.
    in: SIAM Journal on Applied Mathematics, Jahrgang 85, Nr. 6, 2025, S. 2508-2542.
  • Spectral function space learning and numerical linear algebra networks for solving linear inverse problems. / Scherzer, Otmar; Aspri, Andrea; Frischauf, Leon.
    in: Electronic Transactions on Numerical Analysis, Jahrgang 64, 2025.
  • Deciphering Scrolls with Tomography: A Training Experiment. / Scherzer, Otmar; Foschiatti, Sonia; Kittenberger, Axel.
    in: Notices of the American Mathematical Society, Jahrgang 72, Nr. 10, 2025.
  • Quasi-optimality approach in the reconstruction of singularities in multi-term subdiffusion equations. / Pereverzyev, Sergiy; Vasylyeva, Nataliya ; Hulianytskyi, Andrii .
    in: Electr. Trans. Num. Anal. (ETNA), Jahrgang 64, 2025, S. 45-79.
  • General regularization scheme in data-driven learning of Koopman operators. / Pereverzyev, S; Solodky, S.
    in: JOURNAL OF APPLIED AND NUMERICAL ANALYSIS, Jahrgang 2, 17.12.2024, S. 77 - 84.
  • Time-dependent acoustic waves generated by multiple resonant bubbles: application to acoustic cavitation. / Mukherjee, Arpan; Sini, Mourad.
    in: Journal of Evolution Equations, Jahrgang 24, Nr. 4, 15.12.2024, S. ARTN 90.
  • Computational inverse scattering with internal sources: A reproducing kernel Hilbert space approach. / Dong, Yakun; Sadiq, Kamran; Scherzer, Otmar et al.
    in: Physical Review E, Jahrgang 110, Nr. 6, 11.12.2024, S. ARTN 065302.
  • Extension problem for the fractional parabolic Lamé operator and unique continuation. / Banerjee, Agnid; Senapati, Soumen.
    in: Calculus of Variations and Partial Differential Equations, Jahrgang 63, Nr. 8, 15.11.2024, S. ARTN 203.
  • ESTIMATION OF THE EIGENVALUES AND THE INTEGRAL OF THE EIGENFUNCTIONS OF THE NEWTONIAN POTENTIAL OPERATOR. / Alsenafi, Abdulaziz; Ghandriche, Ahcene; Sini, Mourad.
    in: Proceedings of the American Mathematical Society, Jahrgang 152, Nr. 10, 15.10.2024, S. 4379-4392.
  • On Regularized Radon–Nikodym Differentiation. / Nguyen, Duc Hoan; Zellinger, Werner; Pereverzyev, Sergei.
    in: Journal of Machine Learning Research, Jahrgang 25, 15.10.2024, S. 1-24.
  • Elastic fields generated by multiple small inclusions with high mass density at nearly resonant frequencies. / Challa, Durga Prasad; Gangadaraiah, Divya; Sini, Mourad.
    in: Journal of Mathematical Analysis and Applications, Jahrgang 538, Nr. 2, 15.10.2024, S. ARTN 128442.
  • On regularized polynomial functional regression. / Holzleitner, Markus; Sergei, V.
    in: Journal of Complexity, Jahrgang 83, 01.08.2024, S. 25.
  • THE CALDERON PROBLEM FOR SPACE-TIME FRACTIONAL PARABOLIC OPERATORS WITH VARIABLE COEFFICIENTS. / Banerjee, Agnid; Senapati, Soumen.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 56, Nr. 4, 15.06.2024, S. 4759-4810.
  • HEAT GENERATION USING LORENTZIAN NANOPARTICLES. THE FULL MAXWELL SYSTEM. / Mukherjee, Arpan; Sini, Mourad.
    in: SIAM Journal on Applied Mathematics, Jahrgang 84, Nr. 1, 15.06.2024, S. 285-315.
  • Advancing electrochemical impedance analysis through innovations in the distribution of relaxation times method. / Maradesa, Adeleke; Pereverzyev, Sergei; Zic, Mark et al.
    in: Joule, Jahrgang 8, 07.06.2024, S. 1-24.
  • Local near-field scattering data enables unique reconstruction of rough electric potentials. / Canizares, Manuel.
    in: Inverse Problems, Jahrgang 40, Nr. 6, 065004, 01.06.2024.
  • Inversion of the attenuated momenta ray transform of planar symmetric tensors. / Fujiwara, Hiroshi; David, Omogbhe; Sadiq, Kamran et al.
    in: Inverse Problems, Jahrgang 40, Nr. 7, 28.05.2024, S. 33.
  • Domain Generalization by Functional Regression. / Holzleitner, Markus; Pereverzyev, Sergei V; Zellinger, Werner.
    in: Numerical Functional Analysis and Optimization, Jahrgang 45, Nr. 3, 17.05.2024, S. 259-281.
  • WAVE PROPAGATION IN PURE-TIME MODULATED STEP MEDIA WITH APPLICATIONS TO TEMPORAL-AIMING. / Sini, Mourad; Wang, Haibing; Yao, Qingyun.
    in: COMMUNICATIONS ON ANALYSIS AND COMPUTATION, Jahrgang 2, Nr. 1, 15.03.2024, S. 48-70.
  • Quadratic Neural Networks for Solving Inverse Problems. / Frischauf, Leon; Scherzer, Otmar; Shi, Cong.
    in: Numerical Functional Analysis and Optimization, 22.02.2024.
  • Adaptive learning of density ratios in RKHS. / Zellinger, Werner; Kindermann, Stefan; Sergei, Pereverzyev.
    in: Journal of Machine Learning Research, Jahrgang 24, Nr. 1004, 30.12.2023, S. 1-28.
  • RECOVERING BOTH THE WAVE SPEED AND THE SOURCE FUNCTION IN A TIME-DOMAIN WAVE EQUATION BY INJECTING CONTRASTING DROPLETS. / Senapati, Soumen; Sini, Mourad; Wang, Haibing.
    in: Discrete and Continuous Dynamical Systems- Series A, 15.12.2023.
  • Comment on 'Revisiting the probe and enclosure methods'. / Sini, Mourad.
    in: Inverse Problems, Jahrgang 39, Nr. 12, 01.12.2023, S. ARTN 128001.
  • Simultaneous reconstruction of optical and acoustical properties in photoacoustic imaging using plasmonics. / Ghandriche, Ahcene; Sini, Mourad.
    in: SIAM Journal on Applied Mathematics, Jahrgang 83, Nr. 4, 23.11.2023, S. 1738-1765.
  • Two-layer networks with the (text {ReLU}^k) activation function: Barron spaces and derivative approximation. / Li, Yuanyuan; Lu, Shuai; Mathé, Peter et al.
    in: Numerische Mathematik, Jahrgang 155, 23.11.2023, S. 1-25.
  • Rethinking data augmentation for adversarial robustness. / Eghbal-zadeh, Hamid; Zellinger, Werner; Pintor, Maura et al.
    in: Information Sciences, Nr. 654, 07.11.2023, S. 119838.
  • On the X-ray transform of planar symmetric tensors. / Omogbhe, David; Sadiq, Kamran.
    in: Journal of Inverse and Ill-Posed Problems, Jahrgang 32, Nr. 3, 04.10.2023, S. 431-452.
  • The effective permittivity and permeability generated by a cluster of moderately contrasting nanoparticles. / Cao, Xinlin; Sini, Mourad.
    in: Journal of Differential Equations, Jahrgang 367, 15.09.2023, S. 549-602.
  • The electromagnetic waves generated by a cluster of nanoparticles with high refractive indices. / Cao, Xinlin; Ghandriche, Ahcene; Sini, Mourad.
    in: Journal of the London Mathematical Society, 24.07.2023.
  • An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium. / Omogbhe, David; Sadiq, Kamran.
    in: Applicable Analysis, Jahrgang 103, Nr. 6, 13.07.2023, S. 1149--1164.
  • ACOUSTIC CAVITATION USING RESONATING MICROBUBBLES: ANALYSIS IN THE TIME-DOMAIN. / Mukherjee, Arpan; Sini, Mourad.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 55, Nr. 5, 15.06.2023, S. 5575-5616.
  • HEAT GENERATION USING LORENTZIAN NANOPARTICLES: ESTIMATION VIA TIME-DOMAIN TECHNIQUES*. / Mukherjee, Arpan; Sini, Mourad.
    in: Multiscale Modeling and Simulation, Jahrgang 21, Nr. 2, 15.06.2023, S. 542-597.
  • Application of self-adapting regularization, machine learning tools and limits in Levenberg-Marquardt algorithm to solve CNLS problem. / Žic, Mark; Pereverzyev, Sergiy.
    in: JOURNAL OF ELECTROANALYTICAL CHEMISTRY, Jahrgang 939, 15.06.2023, S. 117420.
  • On the range of the X-ray transform of symmetric tensors compactly supported in the plane. / Sadiq, Kamran; Tamasan, Alexandru.
    in: Inverse Problems and Imaging, Jahrgang 17, Nr. 3, 15.06.2023, S. 660-685.
  • Numerical reconstruction of radiative sources from partial boundary measurements. / Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru.
    in: SIAM Journal on Imaging Sciences, Jahrgang 16, Nr. 2, 07.06.2023, S. 948--968.
  • A short-term rational Krylov method for linear inverse problems. / Kindermann, Stefan; Zellinger, Werner.
    in: Electronic Transactions on Numerical Analysis, Jahrgang 60, 06.06.2023, S. 327-350.
  • The Foldy-Lax approximation is valid for nearly resonating frequencies. / Alsenafi, Abdulaziz; Ghandriche, Ahcene; Sini, Mourad.
    in: Zeitschrift fur Angewandte Mathematik und Physik, Jahrgang 74, Nr. 1, 15.02.2023, S. ARTN 11.
  • Photo-acoustic inversion using plasmonic contrast agents: The full Maxwell model. / Ghandriche, Ahcene; Sini, Mourad.
    in: Journal of Differential Equations, Jahrgang 341, 25.12.2022, S. 1-78.
  • Extraction of Distribution Function of Relaxation Times by using DRT-RBLM Tools: A New Approach to Combine Levenberg-Marquardt Algorithm and Radial Basis Functions for Discretization Basis. / M, Kunaver and Z; Rojec, and V; Subotic, and S et al.
    in: Journal of the Electrochemical Society, Jahrgang 169, Nr. 11, 16.11.2022, S. 110529.
  • An introduction to the mathematics of the imaging modalities using small-scaled contrast agents. / Ghandriche, A; Sini, M.
    in: Notices of the International Consortium of Chinese Mathematicians, Jahrgang 10, Nr. 1, 16.08.2022, S. 28-43.
  • The Inverse Source Problem for the Wave Equation Revisited: A New Approach. / Sini, M; Wang, H.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 54, Nr. 5, 19.07.2022, S. 5160-5181.
  • CORRIGENDUM: ON THE JUSTIFICATION OF THE FOLDY-LAX APPROXIMATION FOR THE ACOUSTIC SCATTERING BY SMALL RIGID BODIES OF ARBITRARY SHAPES. / Challa, Durga prasad; Sini, Mourad.
    in: Multiscale Modeling and Simulation, Jahrgang 20, Nr. 2, 15.06.2022, S. 882-892.
  • On the origin of Minnaert resonances. / Mantile, A; Posilicano, A; Sini, M.
    in: Journal des Mathematiques Pures et Appliquees, Jahrgang 9, Nr. 165, 12.06.2022, S. 106-147.
  • TWO SINGLE-MEASUREMENT UNIQUENESS RESULTS FOR INVERSE SCATTERING PROBLEMS WITHIN POLYHEDRAL GEOMETRIES. / Cao, Xinlin; Diao, Huaian; Liu, Hongyu et al.
    in: Inverse Problems and Imaging, 15.04.2022.
  • Extraction of Distribution Function of Relaxation Times by using Levenberg-Marquardt Algorithm: A New Approach to Apply a Discretization Error Free Jacobian Matrix. / Zic, M; Vlasic, L; Subotic, V et al.
    in: Journal of the Electrochemical Society, Jahrgang 169, Nr. 3, 01.03.2022, S. ARTN 030508.
  • On a regularization of unsupervised domain adaptation in RKHS. / Elke, R; Gizewski, Lukas Mayer; Bernhard, A et al.
    in: Applied and Computational Harmonic Analysis, Jahrgang 57, 01.03.2022, S. 201-227.
  • Partial inversion of the 2D attenuated X-ray transform with data on an arc. / Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru.
    in: Inverse Problems and Imaging, Jahrgang 16, Nr. 1, 15.02.2022, S. 215-228.
  • Mathematical analysis of the photo-acoustic imaging modality using resonating dielectric nano-particles: The 2D TM-model. / Ghandriche, Ahcene; Sini, Mourad.
    in: Journal of Mathematical Analysis and Applications, Jahrgang 506, Nr. 2, 15.02.2022, S. ARTN 125658.
  • Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations. / Kirisits, Clemens; Quellmalz, Michael; Ritsch-Marte, Monika et al.
    in: Inverse Problems, Jahrgang 37, Nr. 11, 15.11.2021, S. ARTN 115002.
  • A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc. / Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru.
    in: Inverse Problems, Jahrgang 37, Nr. 11, 21.10.2021, S. 19 pp.
  • Numerical computation of X-ray tomography from partial measurement. / Fujiwara, Hiroshi; Oishi, Naoya; Sadiq, Kamran et al.
    in: Transactions of the Japan Society for Computational Methods in Engineering (JASCOME), Jahrgang 21, Nr. 21, 19.10.2021, S. 7.
  • A Function Approximation Approach to the Prediction of Blood Glucose Levels. / Mhaskar, Hrushikesh; Pereverzyev, Sergei; Walt, Maria Dorothea Van Der.
    in: Frontiers in Applied Mathematics and Statistics, Jahrgang 7, 31.08.2021, S. 13.
  • A function approximation approach to the prediction of blood glucose levels. / Mhaskar, H N; S, V Pereverzyev and M; Walt, D Van Der.
    in: Frontiers in Applied Mathematics and Statistics, Jahrgang 11, 10.08.2021, S. 10.
  • Partial inversion of the 2D attenuated X-ray transform with data on an arc. / Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru.
    in: Inverse Problems and Imaging, 15.07.2021.
  • Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators. / Dabrowski, Alexander.
    in: Asymptotic Analysis, Jahrgang 126, Nr. 1-2, 15.06.2021, S. 187-202.
  • ANALYSIS OF THE ACOUSTIC WAVES REFLECTED BY A CLUSTER OF SMALL HOLES IN THE TIME-DOMAIN AND THE EQUIVALENT MASS DENSITY. / Sini, Mourad; Wang, Haibing; Yao, Qingyun.
    in: Multiscale Modeling and Simulation, Jahrgang 19, Nr. 2, 15.06.2021, S. 1083-1114.
  • STABLE DETERMINATION OF A RIGID SCATTERER IN ELASTODYNAMICS. / Rondi, Luca; Sincich, Eva; Sini, Mourad.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 53, Nr. 2, 15.06.2021, S. 2660-2689.
  • ON NOVEL GEOMETRIC STRUCTURES OF LAPLACIAN EIGENFUNCTIONS IN R-3 AND APPLICATIONS TO INVERSE PROBLEMS. / Cao, Xinlin; Diao, Huaian; Liu, Hongyu et al.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 53, Nr. 2, 15.06.2021, S. 1263-1294.
  • MATHEMATICAL ANALYSIS OF THE ACOUSTIC IMAGING MODALITY USING BUBBLES AS CONTRAST AGENTS AT NEARLY RESONATING FREQUENCIES. / Dabrowski, Alexander; Ghandriche, Ahcene; Sini, Mourad.
    in: Inverse Problems and Imaging, Jahrgang 15, Nr. 3, 15.06.2021, S. 555-597.
  • Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies. / José, A.
    in: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, Jahrgang 55, Nr. 3, 08.06.2021, S. 1133–1161.
  • On a local inversion of the X-ray transform from one sided data. / Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru et al.
    in: Suuri kaiseki kenkyuujo koukyuuroku, Jahrgang 2021, Nr. 6, 01.06.2021, S. 23-27.
  • Convergence of Level Sets in Total Variation Denoising Through Variational Curvatures in Unbounded Domains. / Iglesias, Jose A; Mercier, Gwenael.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 53, Nr. 2, 18.03.2021, S. 1509-1545.
  • Mortality containment vs. Economics Opening: Optimal policies in a SEIARD model. / Aspri, Andrea; Beretta, Elena; Gandolfi, Alberto et al.
    in: Journal of Mathematical Economics, Jahrgang 93, 15.03.2021, S. ARTN 102490.
  • Interface Roughening in Two Dimensions. / Muenster, Gernot; Canizares Guerrero, Manuel.
    in: Journal of Statistical Physics, Jahrgang 182, Nr. 3, 61, 12.03.2021.
  • Mesoscale Approximation of the Electromagnetic Fields. / Bouzekri, Ali; Sini, Mourad.
    in: Annales Henri Poincare, 15.01.2021.
  • Investigation of Electrochemical Processes in Solid Oxide Fuel Cells by Modified Levenberg-Marquardt Algorithm: A New Automatic Update Limit Strategy. / Zic, Mark; Fajfar, Iztok; Subotic, Vanja et al.
    in: Processes, Jahrgang 9, Nr. 1, 15.01.2021, S. ARTN 108.
  • Data driven regularization by projection. / Aspri, Andrea; Korolev, Yury; Scherzer, Otmar.
    in: Inverse Problems, Jahrgang 36, Nr. 12, 15.12.2020, S. ARTN 125009.
  • DIRECT AND INVERSE TIME-HARMONIC ELASTIC SCATTERING FROM POINT-LIKE AND EXTENDED OBSTACLES. / Hu, Guanghui; Mantile, Andrea; Sini, Mourad et al.
    in: Inverse Problems and Imaging, Jahrgang 14, Nr. 6, 15.12.2020, S. 1025-1056.
  • Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography. / Aspri, Andrea; Beretta, Elena; Scherzer, Otmar et al.
    in: SIAM Journal on Imaging Sciences, Jahrgang 13, Nr. 4, 22.10.2020, S. 1781-1833.
  • Computing the yield limit in three-dimensional flows of a yield stress fluid about a settling particle. / Iglesias, Jose A; Mercier, Gwenael; Chaparian, Emad et al.
    in: Journal of Non-Newtonian Fluid Mechanics, Jahrgang 284, 15.10.2020, S. ARTN 104374.
  • Influence of dimension on the convergence of level-sets in total variation regularization. / José, A; Mercier, Gwenael.
    in: ESAIM - Control, Optimisation and Calculus of Variations, Jahrgang 1, 04.09.2020, S. 1-25.
  • Critical yield numbers and limiting yield surfaces of particle arrays settling in a Bingham fluid. / José, A; Mercier, Gwenael; Scherzer, Otmar.
    in: Applied Mathematics and Optimization, Jahrgang 1, 01.09.2020, S. 1-29.
  • Randomized matrix approximation to enhance regularized projection schemes in inverse problems. / Lu, Shuai; Mathe, Peter; Pereverzyev, Sergei.
    in: Inverse Problems, Jahrgang 36, 20.08.2020, S. 20.
  • Randomized matrix approximation to enhance regularized projection schemes in inverse problems. / Lu, Shuai; Peter, Mathé and Sergei V; Pereverzyev, Sergiy.
    in: Inverse Problems, Jahrgang 36, Nr. 8, 20.08.2020, S. 085013 (20pp).
  • Determination of the fractional order in semilinear subdiffusion equations. / Krasnoschok, M; Pereverzyev, S; Siryk, S.V et al.
    in: Fractional Calculus and Applied Analysis, Jahrgang 23, Nr. 3, 01.07.2020, S. 694 - 722.
  • THE EQUIVALENT MEDIA GENERATED BY BUBBLES OF HIGH CONTRASTS: VOLUMETRIC METAMATERIALS AND METASURFACES. / Ammari, Habib; Challa, Durga Prasad; Choudhury, Anupam Pal et al.
    in: Multiscale Modeling and Simulation, Jahrgang 18, Nr. 1, 15.06.2020, S. 240-293.
  • Numerical Reconstruction of Radiative Sources in an Absorbing and Nondiffusing Scattering Medium in Two Dimensions. / Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru.
    in: SIAM Journal on Imaging Sciences, Jahrgang 13, Nr. 1, 15.06.2020, S. 535-555.
  • Characterization of the acoustic fields scattered by a cluster of small holes. / Challa, Durga Prasad; Mantile, Andrea; Sini, Mourad.
    in: Asymptotic Analysis, Jahrgang 118, Nr. 4, 15.06.2020, S. 235-268.
  • A localized domain perturbation which splits the spectrum of the Laplacian. / Dabrowski, Alexander.
    in: Complex Variables and Elliptic Equations, 22.05.2020.
  • Solving CNLS problems using Levenberg-Marquardt algorithm: A new fitting strategy combining limits and a symbolic Jacobian matrix. / Žica, Mark; Subotićb, Vanja; Pereverzyev, Sergei et al.
    in: JOURNAL OF ELECTROANALYTICAL CHEMISTRY, Jahrgang 866, Nr. 1, 08.05.2020, S. 114171.
  • Solving CNLS problems using Levenberg-Marquardt algorithm: A new fitting strategy combining limits and a symbolic Jacobian matrix. / Žic, Mark; Subotic, Vanja; Pereverzev, Sergei V et al.
    in: JOURNAL OF ELECTROANALYTICAL CHEMISTRY, Jahrgang 866, Nr. 1, 08.05.2020, S. 114171.
  • A Data-Driven Iteratively Regularized Landweber Iteration. / Aspri, A; Banert, S; Oktem, O et al.
    in: Numerical Functional Analysis and Optimization, Jahrgang 41, Nr. 10, 19.03.2020, S. 1190-1227.
  • Adaptive multi-parameter regularization approach to construct the distribution function of relaxation times. / Žic, Mark; Jr, Sergiy Pereverzyev; Subotić, Vanja et al.
    in: International Journal on Geomathematics, Jahrgang 11, Nr. 2, 15.01.2020, S. 1-23.
  • A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium. / Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru.
    in: Inverse Problems, Jahrgang 36, Nr. 5, 19.12.2019, S. 33.
  • Analysis of a Model of Elastic Dislocations in Geophysics. / Aspri, Andrea; Beretta, Elena; Mazzucato, Anna L et al.
    in: Archive for Rational Mechanics and Analysis, Jahrgang n.a., 11.11.2019, S. n.a.
  • Regularized Collocation in Distribution of Diffusion Times Applied to Electrochemical Impedance Spectroscopy. / Pereverzyev, S.V; Solodky, S.G; Vasylyk, V.B et al.
    in: Computational Methods in Applied Mathematics, Jahrgang 20, 11.11.2019, S. 8.
  • Optimizing noisy CNLS problems by using Nelder-Mead algorithm: A new method to compute simplex step efficiency. / Žic, Mark; Pereverzyev, Sergei.
    in: JOURNAL OF ELECTROANALYTICAL CHEMISTRY, Jahrgang 851, 10.10.2019, S. 113439.
  • Estimation of the heat conducted by a cluster of small cavities and characterization of the equivalent heat conduction. / Sini, Mourad; Wang, Haibing.
    in: Multiscale Modeling and Simulation, Jahrgang 17, Nr. 4, 09.10.2019, S. 1214-1251.
  • Invariant $varphi$-Minimal Sets and Total Variation Denoising on Graphs. / Kirisits, Clemens; Scherzer, Otmar; Setterqvist, Eric.
    in: SIAM Journal on Imaging Sciences, Jahrgang 12, Nr. 4, 01.10.2019, S. 1643-1668.
  • The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies. / Ammari, Habib; Challa, Durga Prasad; Choudhury, Anupam Pal et al.
    in: Journal of Differential Equations, Jahrgang 267, Nr. 4, 05.08.2019, S. 2104-2191.
  • Subwavelength resonant dielectric nanoparticles with high refractive indices. / Ammari, Habib; Dabrowski, Alexander; Fitzpatrick, Brian et al.
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  • Estimation of a class of quasi-resonances generated by multiple small particles with high surface impedances. / Challa, Durga Prasad; Mouffouk, Fouzi; Sini, Mourad.
    in: Mathematical Methods in the Applied Sciences, Jahrgang 42, Nr. 10, 15.07.2019, S. 3568-3578.
  • Estimation of the time-dependent body force needed to exert on a membrane to reach a desired state at the final time. / Boyadjiev, Lyubomir; Rashedi, Kamal; Sini, Mourad.
    in: Computational Methods in Applied Mathematics, Jahrgang 19, Nr. 2, 02.07.2019, S. 323–339.
  • Data Based Construction of Kernels for Semi-supervised Learning with Less Labels. / Mhaskar, Hrushikesh; Pereverzyev, Sergei; Semenova, Vasyl Semenov and Evgeniya.
    in: Frontiers in Applied Mathematics and Statistics, Jahrgang 4, 11.04.2019, S. 12.
  • The Foldy-Lax Approximation for the Full Electromagnetic Scattering by Small Conductive Bodies of Arbitrary Shapes. / Bouzekri, Ali; Sini, Mourad.
    in: Multiscale Modeling and Simulation, Jahrgang 1, 01.01.2019, S. 1.
  • Two-Dimensional Shape Optimization with Nearly Conformal Transformations. / José, A; Sturm, Kevin; Wechsung, Florian.
    in: SIAM Journal on Scientific Computing, Jahrgang 40, Nr. 6, 15.12.2018, S. A3807-A3830.
  • On an elastic model arising from volcanology: An analysis of the direct and inverse problem. / Aspri, Andrea; Beretta, Elena; Rosset, Edi.
    in: Journal of Differential Equations, Jahrgang 265, Nr. 12, 15.12.2018, S. 6400-6423.
  • Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces. / Mantile, Andrea; Posilicano, Andrea; Sini, Mourad.
    in: Journal of Differential Equations, Jahrgang 265, Nr. 9, 05.11.2018, S. 4101-4132.
  • Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces. / Mantile, Andrea; Posilicano, Andrea; Sini, Mourad.
    in: Journal of Spectral Theory, Jahrgang 8, Nr. 4, 15.10.2018, S. 1443-1486.
  • Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies. / José, A; Rumpf, Martin; Scherzer, Otmar.
    in: Foundations of Computational Mathematics, Jahrgang 18, Nr. 4, 30.07.2018, S. 891-927.
  • MATHEMATICAL IMAGING USING ELECTRIC OR MAGNETIC NANOPARTICLES AS CONTRAST AGENTS. / Challa, Durga Prasad; Choudhury, Anupam Pal; Sini, Mourad.
    in: Inverse Problems and Imaging, Jahrgang 12, Nr. 3, 15.06.2018, S. 573-605.
  • In vivo imaging of emerging endocrine cells reveals a requirement for PI3K-regulated motility in pancreatic islet morphogenesis. / Freudenblum, Julia; José, A; Hermann, Martin et al.
    in: Development (Cambridge), Jahrgang 145, Nr. 3, 15.06.2018, S. dev.158477.
  • A note on convergence of solutions of total variation regularized linear inverse problems. / José, A; Mercier, Gwenael; Scherzer, Otmar.
    in: Inverse Problems, Jahrgang 34, Nr. 5, 19.04.2018, S. 055011.
  • Quantitative Photoacoustic Imaging in the Acoustic Regime using SPIM. / Beigl, Alexander; Elbau, Peter; Sadiq, Kamran et al.
    in: Inverse Problems, Jahrgang 34, Nr. 5, 04.04.2018, S. 1-15.
  • Balancing principle in supervised learning for a general regularization scheme. / Sergei, V; Pereverzyev, Shuai Lu; Mathé, Peter.
    in: Applied and Computational Harmonic Analysis, Jahrgang 45, 21.03.2018, S. 26.
  • Estimation of the time-dependent body force needed to exert on a membrane to reach a desired state at the final time. / Boyadjiev, L; Rashedi, K; Sini, M.
    in: Computational Methods in Applied Mathematics, Jahrgang 17, 10.01.2018, S. 533.
  • Limiting Absorption Principle, Generalized Eigenfunctions and Scattering Matrix for Laplace Operators with Boundary conditions on Hypersurfaces. / Mantile, A; Posilicano, A; Sini, M.
    in: Journal of Spectral Theory, Jahrgang 7, 01.01.2018, S. pp.
  • Nystrom type subsampling analyzed as a regularized projection. / Kriukova, Galyna; Pereverzyev, Sergiy; Tkachenko, Pavlo et al.
    in: Inverse Problems, Jahrgang 33, Nr. 7, 15.07.2017, S. ARTN 074001.
  • A Deep Learning Approach to Diabetic Blood Glucose Prediction. / Hrushikesh, N; Mhaskar, Sergei V; Pereverzyev, and Maria D et al.
    in: Frontiers in Applied Mathematics and Statistics, 14.07.2017, S. 18.
  • A deep learning approach to diabetic blood glucose prediction. / Mhaskar, Hrushikesh; Sergei, Pereverzyev and Maria D; Walt, Van Der.
    in: Frontiers in Applied Mathematics and Statistics, 28.06.2017, S. 18.
  • Modeling and simulation of the motion of nanoparticles in cylindrical capillaries allowing particle-to-wall interactions. / Mouffouk, F; Alrefae, T; Challa, D et al.
    in: Mathematical Methods in the Applied Sciences, Jahrgang 40, Nr. 8, 15.05.2017, S. 3111-3128.
  • Modeling and simulation of the motion of nanoparticles in cylindrical capillaries allowing particle-to-wall interactions. / Mouffouk, F; Alrefae, T; Challa, D P et al.
    in: Mathematical Methods in the Applied Sciences, Jahrgang 40, 15.05.2017, S. 1050.
  • Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets. / Ian, A; José, A; Mercier, Gwenael et al.
    in: SIAM Journal on Applied Mathematics, Jahrgang 77, Nr. 2, 20.04.2017, S. 638–663.
  • Regularization by the Linear Functional Strategy with Multiple Kernels. / Sergei, V; Tkachenko, Pereverzyev and Pavlo.
    in: Frontiers in Applied Mathematics and Statistics, 03.02.2017, S. 9.
  • Complexity of linear ill-posed problems in Hilbert space. / Sergei, V; Mathe, Peter.
    in: Journal of Complexity, Jahrgang 38, 10.01.2017, S. 50-67.
  • The equivalent medium for the elastic scattering by many small rigid bodies and applications. / Al-Musallam, F; Challa, D P; Sini, M.
    in: IMA Journal of Applied Mathematics, Jahrgang 81, Nr. 6, 22.12.2016, S. 1020-1050.
  • Multiscale analysis of the acoustic scattering by many scatterers of impedance type. / Challa, Durga Prasad; Sini, Mourad.
    in: Zeitschrift fur Angewandte Mathematik und Physik, Jahrgang 67, Nr. 3, 15.11.2016, S. ARTN 58.
  • Glycemic Control Indices and Their Aggregation in the Prediction of Nocturnal Hypoglycemia From Intermittent Blood Glucose Measurements. / Sampath, Sivananthan; Tkachenko, Pavlo; Renard, Eric et al.
    in: Journal of Diabetes Science and Technology, Jahrgang 10, 02.11.2016, S. 1245-1250.
  • A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index. / Alsaedi, A; Ahmed, B; Challa, D P et al.
    in: Mathematical Methods in the Applied Sciences, Jahrgang 39, Nr. 13, 15.09.2016, S. 3607–3622.
  • Prediction of nocturnal hypoglycemia by an aggregation of previously known prediction approaches: proof of concept for clinical application. / Tkachenko, Pavlo; Kriukova, Galyna; Aleksandrova, Marharyta et al.
    in: Computer Methods and Programs in Biomedicine, Jahrgang 134, 08.07.2016, S. 179-186.
  • Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces. / Mantile, A; Posilicano, A; Sini, M.
    in: Journal of Differential Equations, Jahrgang 261, Nr. 1, 05.07.2016, S. 1-55.
  • On the X-ray transform of planar symmetric 2-tensors. / Sadiq, Kamran; Scherzer, Otmar; Tamasan, Alexandru.
    in: Journal of Mathematical Analysis and Applications, Jahrgang 442, Nr. 1, 01.06.2016, S. 31-49.
  • Extraction of the index of refraction by embedding multiple small inclusions. / Alsaedi, Ahmed; Alzahrani, Faris; Challa, Durga Prasad et al.
    in: Inverse Problems, Jahrgang 32, Nr. 4, 07.03.2016, S. ARTN 045004.
  • On the convergence rate and some applications of regularized ranking algorithms. / Kriukova, Galyna; Pereverzyev, Sergei; Tkachenko, Pavlo.
    in: Journal of Complexity, Jahrgang 33, 02.02.2016, S. 14-29.
  • Location and size estimation of small rigid bodies using elastic far-fields. / Al-Musallam, Fadhel; Challa, Durga Prasad; Sini, Mourad.
    in: Contemporary Mathematics, Jahrgang 658, 01.02.2016, S. 33–46.
  • An $H^{s;p}(curl; Omega)$ estimate for the Maxwell system. / Kar, Manas; Sini, Mourad.
    in: Mathematische Annalen, Jahrgang 364, 01.02.2016, S. 559–587.
  • A linear functional strategy for regularized ranking. / Kriukova, Galyna; Panasiuk, Oleksandra; Pereverzyev, Sergei V et al.
    in: Neural Networks, Jahrgang 73, 15.01.2016, S. 26-35.
  • Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions. / Cao, Hui; Pereverzyev, Sergei V; Sloan, Ian H et al.
    in: Applied Mathematics and Computation, Jahrgang 273, 15.01.2016, S. 993-1005.
  • The Foldy-Lax approximation of the scattered waves by many small bodies for the Lame system. / Challa, Durga Prasad; Sini, Mourad.
    in: Mathematische Nachrichten, Jahrgang 288, Nr. 16, 15.11.2015, S. 1834-1872.
  • Stable recovery of the time-dependent source term from one measurement for the wave equation. / Rashedi, Kamal; Sini, Mourad.
    in: Inverse Problems, Jahrgang 31, Nr. 10, 24.09.2015, S. 105011.
  • The enclosure method for the anisotropic Maxwell system. / Kuan, Rulin; Lin, Yi-Hsuan; Sini, Mourad.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 47, Nr. 5, 15.09.2015, S. 3488–3527.
  • On the Range of the Attenuated Radon Transform in strictly Convex Sets. / Sadiq, K; Tamasan, A.
    in: Transactions of the American Mathematical Society, Jahrgang 367, Nr. 8, 14.08.2015, S. 5375--5398.
  • On the Range Characterization of the two-dimensional Attenuated Doppler Transform. / Sadiq, K; Tamasan, A.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 47, Nr. 3, 15.06.2015, S. 2001-2021.
  • Stable Determination of a Scattered Wave from its Far-Field Pattern: The High Frequency Asymptotics. / Rondi, Luca; Sini, Mourad.
    in: Archive for Rational Mechanics and Analysis, Jahrgang 218, Nr. 1, 15.06.2015, S. 1-54.
  • On the Gamma-convergence of some polygonal curvature functionals. / José, A; Alfred, M.
    in: Applicable Analysis, Jahrgang 94, Nr. 5, 15.05.2015, S. 957-979.
  • The equivalent refraction index for the acoustic scattering by many small obstacles With error estimates. / Ahmad, B; Challa, D P; Kirane, M et al.
    in: Journal of Mathematical Analysis and Applications, Jahrgang 424, Nr. 1, 01.04.2015, S. 563-583.
  • Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere. / Pereverzyev, S V; Sloan, I H; Tkachenko, P.
    in: SIAM Journal on Numerical Analysis, Jahrgang 53, Nr. 2, 24.03.2015, S. 820-835.
  • Pointwise Computation in an Ill-Posed Spherical Pseudo-Differential Equation. / Pereverzyev, S V; Tkachenko, P.
    in: Computational Methods in Applied Mathematics, Jahrgang 15, Nr. 2, 11.03.2015, S. 213–219.
  • Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements. / Sini, M; Nguyen, T T.
    in: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, Jahrgang 49, Nr. 2, 04.03.2015, S. 459–480.
  • On the Inverse Elastic Scattering by Interfaces Using One Type of Scattered Waves. / Kar, Manas; Sini, Mourad.
    in: Journal of Elasticity, Jahrgang 118, Nr. 1, 05.01.2015, S. 15-38.
  • Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers. / Hu, G; A, Mantile and M; Sini, Mourad.
    in: Multiscale Modeling and Simulation, Jahrgang 12, Nr. 3, 01.09.2014, S. 996-1027.
  • Reconstruction of interfaces from the elastic farfield measurements using CGO solutions. / Kar, Manas; Sini, Mourad.
    in: SIAM Journal on Mathematical Analysis, Jahrgang 46, Nr. 4, 01.08.2014, S. 2650-2691.
  • Parameter choice strategies for multipenalty regularization. / Fornasier, Massimo; Naumova, Valeriya; Pereverzyev, Sergei.
    in: SIAM Journal on Numerical Analysis, Jahrgang 52, Nr. 4, 31.07.2014, S. 1770-1794.
  • Detection of multilayered media in the acoustic waveguide. / Al-Musallam, F; A, Boumenir and M; Sini, Mourad.
    in: Journal of Mathematical Analysis and Applications, Jahrgang 415, Nr. 2, 15.07.2014, S. 846–872.
  • Reconstructing obstacles by the enclosure method using the far field measurements in one step. / Kar, Manas; Sini, Mourad.
    in: Applicable Analysis, Jahrgang 6, 01.06.2014, S. 1327-1336.
  • Multiple scattering of electromagnetic waves by finitely many point-like obstacles. / Challa, D P; HU, G; Sini, M.
    in: Mathematical Models and Methods in Applied Sciences, Jahrgang 24, Nr. 5, 15.05.2014, S. 863-899.
  • Regularized collocation for spherical harmonics gravitational field modeling. / Naumova, Valeriya; Sergei, V; Tkachenko, Pavlo.
    in: International Journal on Geomathematics, Jahrgang 5, Nr. 1, 20.04.2014, S. 17.
  • Reconstruction of interfaces using CGO solutions for the Maxwell equations. / Kar, Manas; Sini, Mourad.
    in: Journal of Inverse and Ill-Posed Problems, Jahrgang 22, 01.04.2014, S. 169-208.
  • On the justification of the Foldy-Lax approximation for the acoustic scattering by small rigid bodies of arbitrary shapes. / Challa, D P; Sini, M.
    in: Multiscale Modeling and Simulation, Jahrgang 12, Nr. 1, 01.03.2014, S. 55-108.
  • Discretized Tikhonov regularization for Robin boundaries localization. / Cao, Hui; Pereverzyev, Sergei; Sincich, Eva.
    in: Applied Mathematics and Computation, Jahrgang 226, 01.01.2014, S. 374–385.
  • Filtered Legendre expansion method for numerical differentiation at the boundary point with application to blood glucose predictions. / Mhaskar, Hrushikesh; Naumova, Valeriya; Pereverzyev, Sergei.
    in: Applied Mathematics and Computation, Jahrgang 224, 16.10.2013, S. 835–847.
  • Elastic scattering by finitely many point-like obstacles. / Sini, Mourad.
    in: Journal of Mathematical Physics, Jahrgang 54, Nr. 4, 13.08.2013, S. 1-16.
  • Elastic scattering by finitely many point-like obstacles. / Sini, Mourad.
    in: Journal of Mathematical Physics, Jahrgang 54, Nr. 4, 10.07.2013, S. 1-16.
  • Multi-penalty regularization with a component-wise penalization. / Naumova, Valeriya; Sergei, V.
    in: Inverse Problems, Jahrgang 29, Nr. 7, 10.06.2013, S. 1-16.
  • Corrigendum: On the reconstruction of interfaces using complex geometrical optics solutions for the acoustic case. / SIni, M; Yoshida, K.
    in: Inverse Problems, Jahrgang 29, Nr. 3, 07.05.2013, S. 1-2.
  • Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators. / Honda, N; Nakamura, G; Sini, M.
    in: Mathematische Annalen, Jahrgang 355, Nr. 2, 11.04.2013, S. 749–773.
  • Legendre polynomials as a recommended basis for numerical differentiation in the presence of stochastic white noise. / Lu, S; Naumova, V; Pereverzyev, S V.
    in: Journal of Inverse and Ill-Posed Problems, Jahrgang 21, 14.02.2013, S. 193-216.
  • Some inverse problems arising from elastic scattering by rigid obstacles. / Kirsch, A; Hu, G; Sini, M.
    in: Inverse Problems, Jahrgang 29, Nr. 1, 11.01.2013, S. 1-22.
  • Blood Glucose Predictors: an Overview on How Recent Developments Help to Unlock the Problem of Glucose Regulation. / Naumova, V; Pereverzyev, S V.
    in: Recent Advances in Computer Science and Communications, Jahrgang 5, Nr. 3, 05.12.2012, S. 1-11.
  • Inverse acoustic obstacle scattering problems using multifrequency measurements. / Sini, Mourad; Nguyen, Trung Thanh.
    in: Inverse Problems and Imaging, Jahrgang 4, 01.12.2012, S. 749–773.
  • Inverse scattering by point-like scatterers in the Foldy regime. / Challa, D P; Sini, M.
    in: Inverse Problems, Jahrgang 28, Nr. 12, 15.11.2012, S. 39.
  • A meta-learning approach to the regularized learning—case study: Blood glucose prediction. / Naumova, V; Pereverzyev, S.V; Sampath, S.
    in: Neural Networks, Jahrgang 33, 02.10.2012, S. 181-193.
  • Adaptive parameter choice for one-sided finite difference schemes and its application in diabetes technology. / Naumova, V; Pereverzyev, S V; Sampath, S.
    in: Journal of Complexity, Jahrgang 28, 10.09.2012, S. 524-538.
  • The Green function of the interior transmission problem and its applications. / Sini, M; Nakamura, G; Kim, K.
    in: Inverse Problems and Imaging, Jahrgang 6, Nr. 3, 01.09.2012, S. 487-521.
  • Analytic extention and reconstruction of obstacles from few measurements for elliptic second order operators. / Nakamura, G; Honda, N; Sini, M.
    in: Mathematische Annalen, Jahrgang 354, 15.06.2012, S. 1-20.
  • On the reconstruction of interfaces using complex geometrical optics solutions for the acoustic case. / Sini, M; Yoshida, K.
    in: Inverse Problems, Jahrgang 28, Nr. 5, 19.04.2012, S. 22.
  • The balancing principle in solving semi-discrete inverse problems in Sobolev scales by Tikhonov method. / Sergei, V; Sergei, G; Evgeny, A.
    in: Applicable Analysis, Jahrgang 91, Nr. 3, 01.03.2012, S. 435-446.
  • Identification of obstacles using only the pressure parts (or only the shear parts) of the elastic waves. / Gintides, D; Sini, M.
    in: Inverse Problems and Imaging, Jahrgang 6, 15.02.2012, S. 1-16.
  • Detection of point-like scatterers using one type of scattered elastic waves. / Gintides, D; Sini, M; Nguyen, T T.
    in: Journal of Computational and Applied Mathematics, Jahrgang 236, Nr. 8, 15.02.2012, S. 2137--2145.
  • Assessment of Blood Glucose Predictors: The Prediction-Error Grid Analysis. / Sivananthan, Sampath; Naumova, Valeriya; Man, Chiara Dalla et al.
    in: Diabetes Technology and Therapeutics, Jahrgang 13, Nr. 8, 01.08.2011, S. 787-796.
  • On uniqueness and reconstruction of rough and complex obstacles from acoustic scattering data. / Sini, M.
    in: Computational Methods in Applied Mathematics, Jahrgang 11, Nr. 1, 25.06.2011, S. 83–104.
  • Extrapolation in variable RKHSs with application to the blood glucose reading. / Naumova, Valeriya; Pereverzyev, Sergei; Sampath, Sivananthan.
    in: Inverse Problems, Jahrgang 27, Nr. 7, 14.06.2011, S. 13.
  • Numerical solution of the scattering problem for acoustic waves by a two-sided crack in 2-dimensional space. / Krutitskii, P; Liu, J; Sini, M.
    in: Journal of Computational Mathematics, Jahrgang 29, Nr. 2, 15.03.2011, S. 141–166.
  • Multi-parameter regularization and its numerical realization. / Lu, Shuai; Sergei, V.
    in: Numerische Mathematik, Jahrgang 118, Nr. 1, 18.01.2011, S. 1-31.
  • Accuracy of the linear sampling method for inverse obstacle scattering: effect of geometrical and physical parameters. / Nguyen, Trung Thanh; Sini, Mourad.
    in: Inverse Problems, Jahrgang 26, Nr. 12, 15.12.2010, S. 125004 (24pp).
  • On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales. / Lu, Shuai; Pereverzyev, Sergiy.
    in: Journal of Integral Equations and Applications, Jahrgang 22, Nr. 3, 12.09.2010, S. 483-517.
  • The 3D acoustic scattering by complex obstacles. The accuracy issue. / Hassen, F Ben; Ivanyshyn, O; Sini, M.
    in: Inverse Problems, Jahrgang 26, Nr. 10, 17.08.2010, S. 1-29.
  • Adaptive Kernel Methods Using the Balancing Principle. / Vito, E De; Pereverzyev, S.V; and, L.
    in: Foundations of Computational Mathematics, Jahrgang 10, Nr. 4, 28.06.2010, S. 455-479.
  • Estimation of linear functionals from indirect noisy data without knowledge of the noise level. / Sergei, V; Hofmann, Bernd.
    in: International Journal on Geomathematics, Jahrgang 1, Nr. 1, 22.06.2010, S. 121-131.
  • The identification of a partially coated dielectric from far field measurements. / Cakoni, F; Nakamura, G; Sini, M et al.
    in: Applicable Analysis, Jahrgang 89, Nr. 1, 20.04.2010, S. 67-86.
  • Model functions in the modified L-curve method—case study: the heat flux reconstruction in pool boiling. / Heng, Yi; Lu, Shuai; Pereverzyev, Adel Mhamdi and Sergei V.
    in: Inverse Problems, Jahrgang 26, Nr. 5, 15.04.2010, S. 13pp.
  • Reconstruction of cracks of different types from far field measurements. / Liu, J; Sini, M; Sproessig, W (Herausgeber:in).
    in: Mathematical Methods in the Applied Sciences, Jahrgang 33, Nr. 8, 25.02.2010, S. 950–973.
  • The No-response Test for the reconstruction of polyhedral objects in electromagnetics. / Potthast, R; Sini, M.
    in: Journal of Computational and Applied Mathematics, Jahrgang 234, Nr. 6, 24.02.2010, S. 1739–1746.
  • An analysis of the accuracy of the linear sampling method for an acoustic inverse obstacle scattering problem. / Nguyen, Trung Thanh; Sini, Mourad.
    in: Inverse Problems, Jahrgang 26, Nr. 1, 17.12.2009, S. 015010 (29pp).
  • Regularized Total Least Squares: Computational Aspects and Error Bounds. / Lu, Shuai; Sergei, V; Pereverzyev, and Ulrich Tautenhahn.
    in: SIAM Journal on Matrix Analysis and Applications, Jahrgang 31, Nr. 3, 05.08.2009, S. 918-941.
  • On the accuracy of the numerical detection of complex obstacles from far field data using the probe method. / Liu, Jijun; Sini, Mourad.
    in: SIAM Journal on Scientific Computing, Jahrgang 31, Nr. 4, 01.07.2009, S. 717-730.
  • Sparse recovery by the standard Tikhonov method. / Pereverzyev, Shuai Lu and Sergei V; Lu, Shuai.
    in: Numerische Mathematik, Jahrgang 112, Nr. 3, 02.05.2009, S. 403-424.
  • The use of higher order finite difference schemes is not dangerous. / Mathe, Peter; Pereverzyev, Sergei V.
    in: Journal of Complexity, Jahrgang 25, Nr. 1, 21.01.2009, S. 3-10.
  • A Carleman estimate and the balancing principle in the quasi-reversibility method for solving the Cauchy problem for the Laplace equation. / Hui, Cao; Michael, Klibanov; Sergei, Pereverzyev.
    in: Inverse Problems, Jahrgang 25, 15.01.2009, S. 035005 (21pp).
  • Reconstruction of shapes and surface impedances using few far field measurements. / He, L; S, Kindermann and M; Sini, Mourad.
    in: Journal of Computational Physics, 15.01.2009.
  • Local stability for soft obstacles by a single measurement. / Sini, Eva Sincich and Mourad.
    in: Inverse Problems and Imaging, Jahrgang 2, Nr. 2, 15.06.2008, S. 301--315.
  • Unique continuation for transversally isotropic dynamical systems and its applications. / Lin, C.L; Nakamura, G; Sini, M.
    in: Journal of Differential Equations, Jahrgang 245, 15.06.2008, S. 3008-3024,.
  • The no-response approach and its relation to other sampling methods. / Honda, N; Nakamura, G; Potthast, R et al.
    in: Annali di Matematica Pura ed Applicata, 15.01.2008.
  • An analysis of Tikhonov regularization for nonlinear ill-posed problems under general smoothness assumptions. / Lu, S; Pereverzyev, S; Ramlau, R.
    in: Inverse Problems, Nr. 23, 11.12.2007, S. 217-230.
  • Regularization by projection: Approximation theoretic aspects and distance functions. / Hofmann, B; Math, P; e, and S et al.
    in: Journal of Inverse and Ill-Posed Problems, Jahrgang 15, 07.12.2007, S. 527-545.
  • Obstacle and boundary determination from scattering data. / Nakamura, G; Sini, M.
    in: SIAM Journal on Mathematical Analysis, 20.10.2007.
  • Regularization by projection: Approximation theoretic aspects and distance functions. / Hofmann, B; Math, P; e, and S et al.
    in: J. Inv. Ill-Posed Problems, Jahrgang 15, 15.10.2007, S. 527–545.
  • On the convergence of the harmonic $B_z$ algorithm in MREIT. / Liu, J.J; Seo, J.K; Sini, M et al.
    in: SIAM Journal on Mathematical Analysis, 02.10.2007.
  • Reconstruction of the shape and surface impedance from acoustic scattering data for arbitrary cylinder. / Liu, J.J; Nakamura, G; Sini, M.
    in: SIAM Journal on Mathematical Analysis, 07.09.2007.
  • The balancing principle for the regularization of elliptic Cauchy problems. / Cao, Hui; Sergei, V.
    in: Inverse Problems, Jahrgang 23, 24.08.2007, S. 1943-1961.
  • A variational approach for the inverse dynamical problem for connected beams. / Morassi, A; Nakamura, G; Shirota, K et al.
    in: European Journal of Applied Mathematics, 15.08.2007.
  • On the balancing principle for some problems of Numerical Analysis. / Lazarov, R.D; Lu, S; Pereverzyev, S.
    in: Numerische Mathematik, Jahrgang 106, 24.04.2007, S. 659-689.
  • Local solutions to Inverse Problems in Geodesy. / Bauer, F; Mathe, P; Pereverzyev, S.
    in: Journal of Geodesy, Jahrgang 81, 10.04.2007.
  • Natural linearization for the identification of a diffusion coefficient in a quasi-linear parabolic system from short-time observations. / Cao, Hui; Sergei, V.
    in: Inverse Problems, Jahrgang 22(6), 22.11.2006, S. 2311-2330.
  • Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. / Nakamura, G; Potthast, R; Sini, M.
    in: Communications in Partial Differential Equations, 15.06.2006.
  • Regularization of some linear ill-posed problems with discretized random noisy data. / Mathe, P; Pereverzyev, S.
    in: Mathematics of Computation, Jahrgang 75, 15.06.2006, S. 1913-1929.
  • An utilization of a rough approximation of a noise covariance within the framework of multi-parameter regularization. / Bauer, F; Pereverzyev, S.
    in: International Journal of Tomography and Statistics, Jahrgang 4, 15.06.2006, S. 1-12.
  • Numerical differentiation from a view point of Regularization Theory. / Lu, S; Pereverzyev, S.
    in: Mathematics of Computation, Jahrgang 75, 15.05.2006, S. 1853-1870.
  • The discretized discrepancy principle under general source conditions. / Mathe, P; Pereverzyev, S.
    in: Journal of Complexity, Jahrgang 22, 07.03.2006, S. 371-381.
  • Natural linearization for the identification of nonlinear heat transfer laws. / Engl, H; Fusek, P; Pereverzyev, S.
    in: Journal of Inverse and Ill Posed Problems, Jahrgang 13(6), 15.06.2005, S. 567-582.
  • Regularization without preliminary knowledge of smoothness and error behaviour. / Bauer, F; Pereverzyev, S.
    in: European Journal of Applied Mathematics, Jahrgang 16(3), 15.06.2005, S. 303-317.
  • Regularization in Hilbert scales under general smoothing conditions. / Nair, T; Pereverzyev, S; Tauthenhahn, U.
    in: Inverse Problems, Jahrgang 21(6), 15.06.2005, S. 1851-1871.
  • On the adaptive selection of the parameter in regularization of ill-posed problems. / Pereverzyev, S; Schock, E.
    in: SIAM J. Numer. Analysis, Jahrgang 43(5), 15.06.2005, S. 2060-2076.
  • A two dimensional source reconstruction method in radiative transport using boundary data measured on an arc. / Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru.
    in: Inverse Problems, 06.10.2021.
  • Randomized matrix approximation to enhance regularized projection schemes in inverse problems. / Lu, Shuai; Pereverzyev, Peter Mathé and Sergei V.
    in: Inverse Problems, Jahrgang 36, Nr. 6, 12.06.2020, S. 085013 (20pp).

Book/Monograph

  • The algebraic range of the planar $X$-ray transform of symmetric tensors and applications to noise reduction. / Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru.
    Springer Nature Singapore, 2023. (Mathematics for Industry).
  • An Introduction to Artificial Intelligence Based on Reproducing Kernel Hilbert Spaces. / Pereverzyev, Sergei.
    Birkhäuser Cham, 2022. (Compact Textbooks in Mathematics).
  • Inverse Problems of single molecule localization microscopy. / Lopez-Martinez, Montse; Mercier, Gwenael; Sadiq, Kamran et al.
    Springer Nature Switzerland AG, 2021. 292 S. (Time-dependent Problems in Imaging and Parameter Identification).
  • Data Based Construction of Kernels for Classification. / Mhaskar, H.N; Pereverzyev, S.V; Semenov, E et al.
    Basel, Switzerland: Springer Nature Switzerland AG, 2020. (MATRIX Book Series 3).
  • Regularized Reconstruction of the Order in Semilinear Subdiffusion with Memory. / Krasnoschok, Mykola; Pereverzyev, Sergei; Sergii, V et al.
    Singapore: Springer, 2020. (Springer Proceedings in Mathematics & Statistics).
  • An Elastic Model for Volcanology. / Aspri, Andrea.
    Springer Nature Switzerland AG, 2019. 136 S. (Lecture Notes in Geosystems Mathematics and Computing).
  • Meta-Learning Based Blood Glucose Predictor for Diabetic Smartphone App. / Naumova, Valeriya; Nita, Lucian; Poulsen, Jens Ulrik et al.
    Springer International Publishing, 2016. (Lecture Notes in Bioengineering).
  • Inverse Spectral Problems, 1-D, Theoretical Results. / Sini, Mourad.
    2015. (Encyclopedia of Applied and Computational Mathematics).
  • 1

Conference Contribution: Publication in Proceedings

  • Overcoming Saturation in Density Ratio Estimation by Iterated Regularization. / Gruber, Lukas; Holzleitner, Markus; Lehner, Johannes et al.
    International Conference on Machine Learning. 2024.
  • Addressing Parameter Choice Issues in Unsupervised Domain Adaptation by Aggregation. / Dinu, Marius-Constantin; Holzleitner, Markus; Beck, Maximilian et al.
    ICLR 2023, The Eleventh International Conference on Learning Representations. 2023.
  • Few-Shot Learning by Dimensionality Reduction in Gradient Space. / Gauch, Martin; Beck, Maximilian; Adler, Thomas et al.
    Conference on Lifelong Learning Agents. 2022.
  • Tessellation-Filtering ReLU Neural Networks. / Bernhard, A; Lewandowski, Michal; Kargaran, Somayeh et al.
    International Joint Conference on Artificial Intelligence. Wien, 2022. S. 3335-3341.
  • The balancing principle for parameter choice in distance-regularized domain adaptation. / Zellinger, Werner; Shepeleva, Natalia; Dinu, Marius-Constantin et al.
    NeurIPS 2021, Thirty-fifth Conference on Neural Information Processing Systems. 2021.
  • Preservation of Piecewise Constancy under TV Regularization with Rectilinear Anisotropy. / Kirisits, Clemens; Scherzer, Otmar; Setterqvist, Eric et al.
    Scale Space and Variational Methods in Computer Vision, SSVM 2019. Springer, 2019. S. 510-521 (Lecture Notes in Computer Science, vol. 11603).