Peer Reviewed Journal Publication

  • Holzleitner, Markus; Pereverzyev, Sergei V.; Zellinger, Werner (2024) Domain Generalization by Functional Regression. Numerical Functional Analysis and Optimization.
  • Zellinger, Werner; Kindermann, Stefan; Sergei, Pereverzyev (2023) Adaptive learning of density ratios in RKHS. Journal of Machine Learning Research, Bd. 24 (1004), S. 1-28.
  • Senapati, Soumen; Sini, Mourad; Wang, Haibing (2023) RECOVERING BOTH THE WAVE SPEED AND THE SOURCE FUNCTION IN A TIME-DOMAIN WAVE EQUATION BY INJECTING CONTRASTING DROPLETS. DISCRETE CONT DYN-A.
  • Sini, Mourad (2023) Comment on 'Revisiting the probe and enclosure methods'. INVERSE PROBL, Bd. 39 (12), S. ARTN 128001.
  • Yuanyuan Li, Shuai Lu, Peter Mathé, Sergei V. Pereverzyev (2023) Two-layer networks with the ( ext {ReLU}^k) activation function: Barron spaces and derivative approximation. Numerische Mathematik, Bd. 155, S. 1-25.
  • Ghandriche, Ahcene; Sini, Mourad (2023) Simultaneous reconstruction of optical and acoustical properties in photoacoustic imaging using plasmonics. Siam Journal of Applied Mathematics, Bd. 83 (4), S. 1738-1765.
  • Eghbal-zadeh, Hamid; Zellinger, Werner; Pintor, Maura; Grosse, Kathrin; Koutini, Khaled et al. [..] (2023) Rethinking data augmentation for adversarial robustness. Information Sciences (654), S. 119838.
  • Hubmer, Simon; Sherina, Ekaterina; Ramlau, Ronny; Pircher, Michael; Leitgeb, Rainer (2023) Subaperture-Based Digital Aberration Correction for Optical Coherence Tomography: A Novel Mathematical Approach. SIAM Journal on Imaging Sciences, Bd. 16 (4), S. 1857-1885.
  • Omogbhe, David; Sadiq, Kamran (2023) On the X-ray transform of planar symmetric tensors. J INVERSE ILL-POSE P.
  • Cao, Xinlin; Sini, Mourad (2023) The effective permittivity and permeability generated by a cluster of moderately contrasting nanoparticles. J DIFFER EQUATIONS, Bd. 367, S. 549-602.
  • Hubmer, Simon; Sherina, Ekaterina; Ramlau, Ronny (2023) Characterizations of adjoint Sobolev embedding operators with applications in inverse problems. Electronic Transaction on Numerical Mathematics, Bd. 59, S. 116-144.
  • Hubmer, Simon; Sherina, Ekaterina; Ramlau, Ronny (2023) Characterizations of Adjoint Sobolev Embedding Operators with Applications in Inverse Problems. Electronic Transactions on Numerical Analysis, Bd. 116--144, S. 116--144.
  • Cao, Xinlin; Ghandriche, Ahcene; Sini, Mourad (2023) The electromagnetic waves generated by a cluster of nanoparticles with high refractive indices. J LOND MATH SOC.
  • Hinterer, Fabian; Schneider, Magdalena C.; Hubmer, Simon; Lopez-Martinez, Montserrat; Ramlau, Ronny et al. [..] (2023) Localization of fixed dipoles at high precision by accounting for sample drift during illumination. Applied Physics Letters, Bd. 123 (2), S. 023703.
  • Omogbhe, David; Sadiq, Kamran (2023) An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium. APPL ANAL, Bd. 103 (6), S. 1149--1164.
  • Quellmalz, Michael; Elbau, Peter; Scherzer, Otmar; Steidl, Gabriele (2023) MOTION DETECTION IN DIFFRACTION TOMOGRAPHY BY COMMON CIRCLE METHODS. MATH COMPUT.
  • Sadiq, Kamran; Tamasan, Alexandru (2023, online: 2022) On the range of the X-ray transform of symmetric tensors compactly supported in the plane. INVERSE PROBL IMAG, Bd. 17 (3), S. 660-685.
  • Mark Žic, Sergiy Pereverzyev (2023) Application of self-adapting regularization, machine learning tools and limits in Levenberg-Marquardt algorithm to solve CNLS problem. Journal of Electroanalytical Chemistry, Bd. 939, S. 117420.
  • Mukherjee, Arpan; Sini, Mourad (2023) HEAT GENERATION USING LORENTZIAN NANOPARTICLES: ESTIMATION VIA TIME-DOMAIN TECHNIQUES*. MULTISCALE MODEL SIM, Bd. 21 (2), S. 542-597.
  • Faucher, Florian; Scherzer, Otmar (2023) Synthetic dataset for visco-acoustic imaging. DATA IN BRIEF, Bd. 48, S. ARTN 109199.
  • Mukherjee, Arpan; Sini, Mourad (2023) ACOUSTIC CAVITATION USING RESONATING MICROBUBBLES: ANALYSIS IN THE TIME-DOMAIN. SIAM J MATH ANAL, Bd. 55 (5), S. 5575-5616.
  • Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (online: 2023) Numerical reconstruction of radiative sources from partial boundary measurements. SIAM J. Imaging Sci., Bd. 16 (2), S. 948--968.
  • Parzer, Fabian; Jethwa, Prashin; Boecker, Alina; Alfaro-Cuello, Mayte; Scherzer, Otmar et al. [..] (2023) Uncertainty-aware blob detection with an application to integrated-light stellar population recoveries. ASTRON ASTROPHYS, Bd. 674, S. ARTN A59.
  • Alsenafi, Abdulaziz; Ghandriche, Ahcene; Sini, Mourad (2023) The Foldy-Lax approximation is valid for nearly resonating frequencies. Z ANGEW MATH PHYS, Bd. 74 (1), S. ARTN 11.
  • Hinterer, Fabian; Hubmer, Simon; Jethwa, Prashin; Soodhalter, Kirk M.; van de Ven, Glenn et al. [..] (2023) A Projected Nesterov–Kaczmarz Approach to Stellar Population-Kinematic Distribution Reconstruction in Extragalactic Archaeology. SIAM Journal on Imaging Sciences, Bd. 16 (1), S. 192--222.
  • Faucher, Florian; Scherzer, Otmar (2023) Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty. J COMPUT PHYS, Bd. 472, S. ARTN 111685.
  • Ghandriche, Ahcene; Sini, Mourad (2022) Photo-acoustic inversion using plasmonic contrast agents: The full Maxwell model. J. Differ. Equ., Bd. 341, S. 1-78.
  • Hubmer, Simon; Sherina, Ekaterina; Kindermann, Stefan; Raik, Kemal (2022) A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration. Electronic Transactions on Numerical Analysis, Bd. 57, S. 216-241.
  • Krainz, Lisa; Sherina, Ekaterina; Hubmer, Simon; Liu, Mengyang; Drexler, Wolfgang et al. [..] (2022) Quantitative Optical Coherence Elastography: A novel Intensity-based Inversion Method versus Strain-based Reconstructions. IEEE Journal of Selected Topics in Quantum Electronics, Bd. 29 (4), S. 1-16.
  • Zic, M. Kunaver and Z. Rojec and V. Subotic and S. Pereverzyev and M. (2022) 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. Journal of The Electrochemical Society, Bd. 169 (11), S. 110529.
  • Parzer, Fabian; Scherzer, Otmar (2022) On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems. Numer. Math.
  • A. Ghandriche, M. Sini (2022) An introduction to the mathematics of the imaging modalities using small-scaled contrast agents. Notices of the International Consortium of Chinese Mathematicians, Bd. 10 (1), S. 28-43.
  • M. Sini, H. Wang (2022) The Inverse Source Problem for the Wave Equation Revisited: A New Approach. SIAM J. Math. Anal., Bd. 54 (5), S. 5160-5181.
  • Wagner, R.; Saxenhuber, D.; Ramlau, R.; Hubmer, S. (2022) Direction dependent point spread function reconstruction for multi-conjugate adaptive optics on giant segmented mirror telescopes. Astron. Comput., Bd. 40, S. ARTN 100590.
  • Challa, Durga prasad; Sini, Mourad (2022) CORRIGENDUM: ON THE JUSTIFICATION OF THE FOLDY-LAX APPROXIMATION FOR THE ACOUSTIC SCATTERING BY SMALL RIGID BODIES OF ARBITRARY SHAPES. Multiscale Model. Simul., Bd. 20 (2), S. 882-892.
  • A. Mantile, A. Posilicano, M. Sini (2022) On the origin of Minnaert resonances. J. Math. Pures Appl., Bd. 9 (165), S. 106-147.
  • Hubmer, Simon; Ramlau, Ronny; Weissinger, Lukas (2022) On regularization via frame decompositions with applications in tomography. Inverse Probl., Bd. 38 (5), S. ARTN 055003.
  • Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, J. U. N. (2022) TWO SINGLE-MEASUREMENT UNIQUENESS RESULTS FOR INVERSE SCATTERING PROBLEMS WITHIN POLYHEDRAL GEOMETRIES. Inverse Probl. Imaging.
  • Elke R. Gizewski, Lukas Mayer, Bernhard A. Moser, Duc Hoan Nguyen, Sergiy Pereverzyev Jr., Sergei V. Pereverzyev, Natalia Shepeleva, Werner Zellinger (2022) On a regularization of unsupervised domain adaptation in RKHS. Applied and Computational Harmonic Analysis, Bd. 57, S. 201-227.
  • Zic, M.; Vlasic, L.; Subotic, V; Pereverzyev, S.; Fajfar, I et al. [..] (2022) Extraction of Distribution Function of Relaxation Times by using Levenberg-Marquardt Algorithm: A New Approach to Apply a Discretization Error Free Jacobian Matrix. J. Electrochem. Soc., Bd. 169 (3), S. ARTN 030508.
  • Ghandriche, Ahcene; Sini, Mourad (2022) Mathematical analysis of the photo-acoustic imaging modality using resonating dielectric nano-particles: The 2D TM-model. J. Math. Anal. Appl., Bd. 506 (2), S. ARTN 125658.
  • Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2022) Partial inversion of the 2D attenuated X-ray transform withdata on an arc. Inverse Probl. Imaging, Bd. 16 (1), S. 215-228.
  • Hinterer, Fabian; Schneider, Magdalena C.; Hubmer, Simon; Lopez-Martinez, Montserrat; Zelger, Philipp et al. [..] (2022) Robust and bias-free localization of individual fixed dipole emitters achieving the Cramer Rao bound for applications in cryo-single molecule localization microscopy. PLoS One, Bd. 17 (2), S. ARTN e0263500.
  • Frischauf, Leon; Melching, Melanie; Scherzer, Otmar (2022) Diffusion tensor regularization with metric double integrals. J. Inverse Ill-Posed Probl.
  • Kirisits, Clemens; Quellmalz, Michael; Ritsch-Marte, Monika; Scherzer, Otmar; Setterqvist, Eric et al. [..] (2021) Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations. Inverse Probl., Bd. 37 (11), S. ARTN 115002.
  • Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2021) A two dimensional source reconstruction method in radiative transport using boundary data measured on an arc., Bd. 37 (11).
  • Fujiwara, Hiroshi; Oishi, Naoya; Sadiq, Kamran; Tamasan, Alexandru (online: 2021) Numerical computation of X-ray tomography from partial measurement. JASCOME, Bd. 21 (21), S. 7.
  • Hrushikesh Mhaskar, Sergei Pereverzyev, Maria Dorothea Van Der Walt (2021) A Function Approximation Approach to the Prediction of Blood Glucose Levels. Fontiers in Applied Mathematics and Statistics, Bd. 7, S. 13.
  • Bot, Radu; Dong, Guozhi; Elbau, Peter; Scherzer, Otmar (2021) Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems. Found. Comput. Math.
  • H N. Mhaskar, S V. Pereverzyev and M. D. Van Der Walt (2021) A function approximation approach to the prediction of blood glucose levels. Frontiers in Applied Mathematics and Statistics, Bd. 11, S. 10.
  • Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (online: 2021) Partial inversion of the 2D attenuated X-ray transform with data on an arc. Inverse Probl. Imaging.
  • Cao, Xinlin; Diao, Huaian; Liu, Hongyu; Zou, Jun (2021) ON NOVEL GEOMETRIC STRUCTURES OF LAPLACIAN EIGENFUNCTIONS IN R-3 AND APPLICATIONS TO INVERSE PROBLEMS. SIAM J. Math. Anal., Bd. 53 (2), S. 1263-1294.
  • Dabrowski, Alexander; Ghandriche, Ahcene; Sini, Mourad (2021) MATHEMATICAL ANALYSIS OF THE ACOUSTIC IMAGING MODALITY USING BUBBLES AS CONTRAST AGENTS AT NEARLY RESONATING FREQUENCIES. Inverse Probl. Imaging, Bd. 15 (3), S. 555-597.
  • Rondi, Luca; Sincich, Eva; Sini, Mourad (2021) STABLE DETERMINATION OF A RIGID SCATTERER IN ELASTODYNAMICS. SIAM J. Math. Anal., Bd. 53 (2), S. 2660-2689.
  • Sini, Mourad; Wang, Haibing; Yao, Qingyun (2021) ANALYSIS OF THE ACOUSTIC WAVES REFLECTED BY A CLUSTER OF SMALL HOLES IN THE TIME-DOMAIN AND THE EQUIVALENT MASS DENSITY. Multiscale Model. Simul., Bd. 19 (2), S. 1083-1114.
  • Iglesias, José A. (2021) Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies. ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer., Bd. 55 (3), S. 1133–1161.
  • Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (2021) On a local inversion of the X-ray transform from one sided data. Suuri kaiseki kenkyuujo koukyuuroku, Bd. 2021 (6), S. 23-27.
  • Iglesias, Jose A.; Mercier, Gwenael (2021) Convergence of Level Sets in Total Variation Denoising Through Variational Curvatures in Unbounded Domains. SIAM J. Math. Anal., Bd. 53 (2), S. 1509-1545.
  • Aspri, Andrea; Beretta, Elena; Gandolfi, Alberto; Wasmer, Etienne (2021) Mortality containment vs. Economics Opening: Optimal policies in a SEIARD model. J. Math. Econ., Bd. 93, S. ARTN 102490.
  • Schneider, Magdalena; Telschow, Roger; Mercier, Gwenael; López-Martinez, Montserrat; Scherzer, Otmar et al. [..] (2021) A workflow for sizing oligomeric biomolecules based on cryo single molecule localization microscopy. PLoS ONE, Bd. 1 (16), S. 23.
  • Zic, Mark; Fajfar, Iztok; Subotic, Vanja; Pereverzyev, Sergei; Kunaver, Matevz (2021) Investigation of Electrochemical Processes in Solid Oxide Fuel Cells by Modified Levenberg-Marquardt Algorithm: A New Automatic Update Limit Strategy. PROCESSES, Bd. 9 (1), S. ARTN 108.
  • Bouzekri, Ali; Sini, Mourad (2021) Mesoscale Approximation of the Electromagnetic Fields. Ann. Henri Poincare.
  • Sherina, E.; Krainz, L.; Hubmer, S.; Drexler, W.; Scherzer, O. (2020) Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography. Inverse Problems, Bd. 36 (12), S. 124003.
  • Faucher, Florian; Scherzer, Otmar (2020) Adjoint-state method for Hybridizable Discontinuous Galerkin discretization, application to the inverse acoustic wave problem. Comput. Methods Appl. Mech. Engrg., Bd. 372, S. 113406.
  • Aspri, Andrea; Beretta, Elena; Scherzer, Otmar; Muszkieta, Monika (2020) Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography. SIAM Journal on Imaging Sciences, Bd. 13 (4), S. 1781-1833.
  • Iglesias, Jose A.; Mercier, Gwenael; Chaparian, Emad; Frigaard, Ian A. (2020) Computing the yield limit in three-dimensional flows of a yield stress fluid about a settling particle. J. Non-Newton. Fluid Mech., Bd. 284, S. ARTN 104374.
  • Iglesias, José A.; Mercier, Gwenael (2020, online: 2019) Influence of dimension on the convergence of level-sets in total variation regularization. ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), Bd. 1, S. 1-25.
  • Iglesias, José A.; Mercier, Gwenael; Scherzer, Otmar (2020, online: 2018) Critical yield numbers and limiting yield surfaces of particle arrays settling in a Bingham fluid. Applied Mathematics and Optimization, Bd. 1, S. 1-29.
  • Shuai Lu, Peter Mathé and Sergei V. Pereverzev (2020) Randomized matrix approximation to enhance regularized projection schemes ininverse problems. Inverse Problems, Bd. 36 (8), S. 085013 (20pp).
  • Shuai Lu, Peter Mathe, Sergei Pereverzyev (2020) Randomized matrix approximation to enhance regularized projection schemes in inverse problems. Inverse Problems, Bd. 36, S. 20.
  • M. Krasnoschok, S. Pereverzyev, S.V. Siryk, N. Vasylyeva (2020) Determination of the fractional order in semilinear subdiffusion equations. Fractional Calculus and Applied Analysis, Bd. 23 (3), S. 694 - 722 <'https://www.degruyter.com/view/journals/fca/fca-overview.xml'>.
  • Žic, Mark, Subotic, Vanja, Pereverzev, Sergei V., Fajfar, Iztok (2020) Solving CNLS problems using Levenberg-Marquardt algorithm: A new fitting strategy combining limits and a symbolic Jacobian matrix. Journal of Electroanalytical Chemistry, Bd. 866 (1), S. 114171.
  • Elbau, Peter; Ritsch-Marte, Monika; Scherzer, Otmar; Schmutz, Denise (2020) Motion reconstruction for optical tomography of trapped objects. Inverse Probl., Bd. 36 (4), S. ARTN 044004.
  • Faucher, Florian; Scherzer, Otmar; Barucq, Helene (2020) Eigenvector models for solving the seismic inverse problem for the Helmholtz equation. Geophys. J. Int., Bd. 221 (1), S. 394-414.
  • Aspri, A.; Banert, S.; Oktem, O.; Scherzer, O. (2020) A Data-Driven Iteratively Regularized Landweber Iteration. Numer. Funct. Anal. Optim., Bd. 41 (10), S. 1190-1227.
  • Aspri, Andrea; Beretta, Elena; Rosset, Edi (2018) On an elastic model arising from volcanology: An analysis of the direct and inverse problem. Journal of Differential Equations, Bd. 265 (12), S. 6400-6423.
  • Iglesias, José A.; Sturm, Kevin; Wechsung, Florian (2018) Two-Dimensional Shape Optimization with Nearly Conformal Transformations. SIAM Journal on Scientific Computing, Bd. 40 (6), S. A3807-A3830.
  • Ramlau, Ronny; Scherzer, Otmar (2018) The first 100 years of the Radon transform. Inverse Probl., Bd. 34 (9), S. ARTN 090201.
  • Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar (2018, online: 2017) Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies. Foundations of Computational Mathematics, Bd. 18 (4), S. 891-927.
  • Hubmer, Simon; Sherina, Ekaterina; Neubauer, Andreas; Scherzer, Otmar (2018) Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems. SIAM J. Imaging Sci., Bd. 11 (2), S. 1268-1293.
  • Freudenblum, Julia; Iglesias, José A.; Hermann, Martin; Walsen, Tanja; Wilfinger, Armin et al. [..] (2018) In vivo imaging of emerging endocrine cells reveals a requirement for PI3K-regulated motility in pancreatic islet morphogenesis. Development, Bd. 145 (3), S. dev.158477.
  • Iglesias, José A.; Mercier, Gwenael; Scherzer, Otmar (2018) A note on convergence of solutions of total variation regularized linear inverse problems. Inverse Problems, Bd. 34 (5), S. 055011.
  • Elbau, P.; Mindrinos, L.; Scherzer, O. (2018, online: 2017) The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography. GEM - International Journal on Geomathematics, Bd. 9 (1), S. 145-165.
  • Beigl, Alexander; Elbau, Peter; Sadiq, Kamran; Scherzer, Otmar (online: 2018) Quantitative Photoacoustic Imaging in the Acoustic Regime using SPIM. Inverse Problems, Bd. 34 (5), S. 1-15.
  • Amann, Dominic; Kalimeris, Konstantinos (2018, online: 2017) A numerical continuation approach for computing water waves of large wave height. European Journal of Mechanics / B Fluids, Bd. 67, S. 314-328.
  • Scherzer, Otmar; Shi, Cong (2018) Reconstruction formulas for photoacoustic imaging in attenuating media. Inverse Probl., Bd. 34 (1), S. ARTN 015006.
  • Elbau, P.; Mindrinos, L.; Scherzer, O. (2018) Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging. Inverse Probl., Bd. 34 (1), S. ARTN 014006.
  • Mantile, A.; Posilicano, A.; Sini, M. (2018) Limiting Absorption Principle, Generalized Eigenfunctions and Scattering Matrix for Laplace Operators with Boundary conditions on Hypersurfaces. Journal of Spectral Theory, Bd. 7, S. pp.
  • Fokas, A. S.; Kalimeris, K. (2017) Water waves with moving boundaries. Journal of Fluid Mechanics, Bd. 832, S. 641-665.
  • Elbau, P.; Scherzer, O.; Shi, C. (2017) Singular values of the attenuated photoacoustic imaging operator. J. Differential Equations, Bd. 263 (9), S. 5330-5376.
  • Kalimeris, K. (2017) Asymptotic expansions for steady periodic water waves in flows with constant vorticity. Nonlinear Anal.-Real World Appl., Bd. 37, S. 182–212.
  • Patrone, Aniello Raffaele; Scherzer, Otmar (2017) On a spatial-temporal decomposition of optical flow. Inverse Problems and Imaging, Bd. 11 (4), S. 761-781.
  • Hrushikesh N. Mhaskar, Sergei V. Pereverzyev and Maria D. van der Walt (2017) A Deep Learning Approach to Diabetic Blood Glucose Prediction. Frontiers in Applied Mathematics and Statistics, S. 18.
  • Galyna Kriukova, Sergiy Pereverzyev Jr and Pavlo Tkachenko (2017) Nyström type subsampling analyzed as a regularized projection. Inverse problems, Bd. 33 (7), S. 074001 <'http://iopscience.iop.org/0266-5611/33/7/074001'>.
  • Sini., F. Mouffouk; T. Alrefae; D. P. Challa; M. (2017, online: 2016) Modeling and simulation of the motion of nanoparticles in cylindrical capillaries allowing particle-to-wall interactions. Mathematical Methods in Applied Sciences, Bd. 40, S. 1050.
  • Frigaard, Ian A.; Iglesias, José A.; Mercier, Gwenael; Pöschl, Christiane; Scherzer, Otmar (2017) Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets. SIAM Journal on Applied Mathematics, Bd. 77 (2), S. 638–663.
  • Dong, Guozhi; Jüttler, Bert; Scherzer, Otmar; Takacs, Thomas (2017) Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces. Inverse Probl. Imaging, Bd. 11 (2), S. 221-246.
  • Lang, L. F.; Scherzer, O. (2017) Optical Flow on Evolving Sphere-Like Surfaces. Inverse Probl. Imaging, Bd. 11 (2), S. 305-338.
  • Mercier, Gwenael (online: 2017) Continuity results for TV-minimizers.
  • Elbau, P.; Mindrinos, L.; Scherzer, O. (2017) Inverse problems of combined photoacoustic and optical coherence tomography. Math. Methods Appl. Sci., Bd. 40, S. 505-522.
  • Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar (2017, online: 2016) Photoacoustic Tomography With Spatially Varying Compressibility and Density. J. Inverse Ill-Posed Probl., Bd. 25 (1), S. 119-133.
  • Tkachenko, Sergei V. Pereverzyev and Pavlo (2017) Regularization by the Linear Functional Strategy with Multiple Kernels. Frontiers in Applied Mathematics and Statistics, S. 9 <'http://journal.frontiersin.org/article/10.3389/fams.2017.00001/full'>.
  • Gerhards, Christian; Jr., Sergiy Pereverzyev; Tkachenko, Pavlo (2017, online: 2016) A parameter choice strategy for the inversion of multiple observations. Advances in Computational Mathematics, Bd. 43 (1), S. 101-112 <'http://link.springer.com/article/10.1007/s10444-016-9477-9?wt_mc=Internal.Event.1.SEM.ArticleAuthorAssignedToIssue'>.
  • Pereverzyev, Sergei V.; Mathe, Peter (2017, online: 2016) Complexity of linear ill-posed problems in Hilbert space. Journal of Complexity, Bd. 38, S. 50-67 <'http://www.sciencedirect.com/science/article/pii/S0885064X16300875'>.
  • Sini, F. Al-Musallam; D. P. Challa; M. (2016) The equivalent medium for the elastic scattering by many small rigid bodies and applications. IMA Journal of Applied Mathematics, Bd. 81 (6), S. 1020-1050.
  • Challa, Durga Prasad; Sini, Mourad (2016) Multiscale analysis of the acoustic scattering by many scatterers of impedance type. Z. Angew. Math. Phys., Bd. 67 (3), S. ARTN 58.
  • Sampath, Sivananthan; Tkachenko, Pavlo; Renard, Eric; Pereverzev, Sergei V. (2016) Glycemic Control Indices and Their Aggregation in the Prediction of Nocturnal Hypoglycemia From Intermittent Blood Glucose Measurements. Journal of Diabetes Science and Technology, Bd. 10, S. 1245-1250 <'http://dst.sagepub.com/content/10/6/1245.abstract'>.
  • A. Alsaedi, B. Ahmed, D. P. Challa, M. Kirane, M. Sini (2016, online: 2015) A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index. Mathematical Methods in Applied Sciences, Bd. 39 (13), S. 3607–3622.
  • Tkachenko, Pavlo; Kriukova, Galyna; Aleksandrova, Marharyta; Chertov, Oleg; Renard, Eric et al. [..] (2016) Prediction of nocturnal hypoglycemia by an aggregation of previously known prediction approaches: proof of concept for clinical application. Computer Methods and Programs in Biomedicine, Bd. 134, S. 179-186 <'http://www.cmpbjournal.com/article/S0169-2607(16)30164-X/abstract'>.
  • A. Mantile, A. Posilicano, M. Sini (2016) Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces. Journal of Differential Equations, Bd. 261 (1), S. 1-55.
  • Beretta, Elena; Hoop, Maarten V. de; Faucher, Florian; Scherzer, Otmar (2016) Inverse boundary value problem for the Helmholtz equation: quantitativeconditional Lipschitz stability estimates. SIAM J. Math. Anal., Bd. 48 (6), S. 3962-3983.
  • Albani, V.; Elbau, P.; de Hoop, M. V.; Scherzer, O. (2016) Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces. Numer. Funct. Anal. Optim., Bd. 37 (5), S. 521-540.
  • Sadiq, Kamran; Scherzer, Otmar; Tamasan, Alexandru (2016) On the X-ray transform of planar symmetric 2-tensors. J. Math. Anal. Appl., Bd. 442 (1), S. 31-49.
  • Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar (2016) A direct method for photoacoustic tomography with inhomogeneous sound speed. Inverse Probl., Bd. 32 (4), S. ARTN 045005.
  • Tkachenko, Pavlo (2016, online: 2015) Regularization by Aggregation of Global and Local Data on the Sphere. Computational Methods in Applied Mathematics, Bd. 16 (2), S. 299–307 <'http://www.degruyter.com/view/j/cmam.2016.16.issue-2/cmam-2015-0039/cmam-2015-0039.xml?format=INT'>.
  • Alsaedi, Ahmed; Alzahrani, Faris; Challa, Durga Prasad; Kirane, Mokhtar; Sini, Mourad (2016) Extraction of the index of refraction by embedding multiple small inclusions. Inverse Probl., Bd. 32 (4), S. ARTN 045004.
  • Kriukova, Galyna; Pereverzyev, Sergei; Tkachenko, Pavlo (2016, online: 2015) On the convergence rate and some applications of regularized ranking algorithms. Journal of Complexity, Bd. 33, S. 14-29.
  • Al-Musallam, Fadhel; Challa, Durga Prasad; Sini, Mourad (2016, online: 2015) Location and size estimation of small rigid bodies using elastic far-fields. Contemp. Math., Bd. 658, S. 33–46.
  • Manas Kar, Mourad Sini (2016, online: 2015) An $H^{s;p}(curl; Omega)$ estimate for the Maxwell system. Mathematische Annalen, Bd. 364, S. 559–587.
  • Kriukova, Galyna; Panasiuk, Oleksandra; Pereverzyev, Sergei V; Tkachenko, Pavlo (2016, online: 2015) A linear functional strategy for regularized ranking. Neural networks, Bd. 73, S. 26-35.
  • Cao, Hui; Pereverzyev, Sergei V; Sloan, Ian H; Tkachenko, Pavlo (2016, online: 2015) Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions. Applied Mathematics and Computation, Bd. 273, S. 993-1005.
  • Schmid, Julian; Glatz, Thomas; Zabihian, Behrooz; Liu, Mengyang; Drexler, Wolfgang et al. [..] (2016) Nonequispaced grid sampling in photoacoustics with a nonuniform fast Fourier transform. J. Biomed. Opt., Bd. 21 (1), S. ARTN 015005.
  • Challa, Durga Prasad; Sini, Mourad (2015) The Foldy-Lax approximation of the scattered waves by many small bodies for the Lame system. Math. Nachr., Bd. 288 (16), S. 1834-1872.
  • Mercier, Gwenael; Novaga, Matteo (2015) Mean curvature flow with obstacles: Existence, uniqueness and regularity of solutions. Interfaces and Free Boundaries, Bd. 17 (3), S. 399-426.
  • Kamal Rashedi, Mourad Sini (2015) Stable recovery of the time-dependent source term from one measurement for the wave equation. Inverse Problems, Bd. 31 (10), S. 105011.
  • Rulin Kuan, Yi-Hsuan Lin, Mourad Sini (2015) The enclosure method for the anisotropic Maxwell system. SIAM J. Math. Anal., Bd. 47 (5), S. 3488–3527.
  • Sadiq, K.; Tamasan, A. (2015, online: 2014) On the Range of the Attenuated Radon Transform in strictly Convex Sets. Transactions of the American Mathematical Society, Bd. 367 (8), S. 5375--5398.
  • Glatz, Thomas; Scherzer, Otmar; Widlak, Thomas (2015) Texture Generation for Photoacoustic Elastography. J. Math. Imaging Vis., Bd. 52 (3), S. 369-384.
  • Sadiq, K.; Tamasan, A. (2015) On the Range Characterization of the two-dimensional Attenuated Doppler Transform. Society for Industrial and Applied Mathematics (SIAM) Journal on Mathematical Analysis, Bd. 47 (3), S. 2001-2021.
  • Elbau, P.; Scherzer, O. (2015) Modelling the Effect of Focusing Detectors in Photoacoustic Sectional Imaging. SIAM J. Imaging Sci., Bd. 8 (1), S. 1-18.
  • Rondi, Luca; Sini, Mourad (2015) Stable Determination of a Scattered Wave from its Far-Field Pattern: The High Frequency Asymptotics. Arch. Ration. Mech. Anal., Bd. 218 (1), S. 1-54.
  • Constantin, A.; Kalimeris, K.; Scherzer, O. (2015) A PENALIZATION METHOD FOR CALCULATING THE FLOW BENEATH TRAVELING WATER WAVES OF LARGE AMPLITUDE. SIAM J. Appl. Math., Bd. 75 (4), S. 1513-1535.
  • Constantin, A.; Kalimeris, K.; Scherzer, O. (2015) Approximations of steady periodic water waves in flows with constant vorticity. Nonlinear Anal.-Real World Appl., Bd. 25, S. 276-306.
  • Iglesias, José A.; Bruckstein, Alfred M. (2015, online: 2014) On the Gamma-convergence of some polygonal curvature functionals. Applicable Analysis, Bd. 94 (5), S. 957-979.
  • Sini, B. Ahmad; D. P. Challa; M. Kirane; M. (2015, online: 2014) The equivalent refraction index for the acoustic scattering by many small obstacles With error estimates. Journal of Mathematical Analysis and Applications, Bd. 424 (1), S. 563-583.
  • Pereverzyev, S. V.; Sloan, I. H.; Tkachenko, P. (2015) Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere. SIAM Journal on Numerical Analysis, Bd. 53 (2), S. 820-835.
  • Kirisits, C.; Poeschl, C.; Resmerita, E.; Scherzer, O. (2015, online: 2014) Finite-dimensional approximation of convex regularization via hexagonal pixel grids. Applicable Analysis, Bd. 94 (3), S. 612-636.
  • Giri, Ankik Kumar; Nagar, Atulya K. (2015) CONVERGENCE OF THE CELL AVERAGE TECHNIQUE FOR SMOLUCHOWSKI COAGULATION EQUATION. ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer., Bd. 49 (2), S. 349-372.
  • Widlak, Thomas; Scherzer, Otmar (2015) Stability in the linearized problem of quantitative elastography. Inverse Probl., Bd. 31 (3), S. ARTN 035005.
  • Pereverzyev, S. V.; Tkachenko, P. (2015) Pointwise Computation in an Ill-Posed Spherical Pseudo-Differential Equation. Computational Methods in Applied Mathematics, Bd. 15 (2), S. 213–219.
  • M. Sini, T. T. Nguyen (2015) Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements. ESAIM: M2AN, Bd. 49 (2), S. 459–480.
  • Pöschl, Christiane; Scherzer, Otmar (2015) Exact solutions of one-dimensional total generalized variation. Communications in Mathematical Sciences, Bd. 13 (1), S. 171-202.
  • Scherzer, O.; Qiu, L.; Hoop, M. de (2015, online: 2014) An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints. Numerische Mathematik, Bd. 129 (1), S. 127-148.
  • Andreev, Roman (2015) On long time integration of the heat equation. Calcolo, Bd. n/a, S. n/a.
  • Kar, Manas; Sini, Mourad (2015, online: 2014) On the Inverse Elastic Scattering by Interfaces Using One Type of Scattered Waves. Journal of Elasticity, Bd. 118 (1), S. 15-38.
  • Poeschl, C.; Scherzer, O. (2015) Exact solutions of one-dimensional total generalized variation. Communications in Mathmetical Sciences, Bd. 13 (1).
  • G. Hu, A. Mantile and M. Sini. (2014) Direct and Inverse Acoustic Scattering by a Collection of Extended and Point-Like Scatterers. Multiscale Modeling & Simulation, Bd. 12 (3), S. 996-1027.
  • Andreev, Roman; Tobler, Christine (2014) Multilevel preconditioning and low rank tensor iteration for space-time simultaneous discretizations of parabolic PDEs. Numerical Linear Algebra with Applications, Bd. 22 (2), S. 317–337.
  • Kar, Manas; Sini, Mourad (2014) Reconstruction of interfaces from the elastic farfield measurements using CGO solutions. SIAM J. Math. Anal., Bd. 46 (4), S. 2650-2691.
  • Fornasier, Massimo; Naumova, Valeriya; Pereverzyev, Sergei (2014) Parameter choice strategies for multipenalty regularization. SIAM Journal on Numerical Analysis, Bd. 52 (4), S. 1770-1794.
  • Wang, W.; Anzengruber, S. W.; Ramlau, R.; Han, B. (2014) A global minimization algorithm for Tikhonov functionals with sparsity constraints. Applicable Analysis, Bd. 94 (3), S. 580-611.
  • F. Al-Musallam, A. Boumenir and M. Sini. (2014) Detection of multilayered media in the acoustic waveguide. Journal of Mathematical Analysis and Applications, Bd. 415 (2), S. 846–872.
  • Andreev, Roman (2014) A note on the norm of oblique projections. Applied Mathematics E-Notes, Bd. 14, S. 43-44.
  • Naetar, W.; Scherzer., O. (2014) Quantitative photoacoustic tomography with piecewise constant material parameters. SIAM Journal on Imaging Sciences, Bd. 7 (3), S. 1755-1774.
  • Kirisits, C.; Lang, L. F.; Scherzer, O. (2014) Optical Flow on Evolving Surfaces with Space and Time Regularisation. Journal of Mathematical Imaging and Vision, Bd. 52, S. 55-70.
  • Kirisits, C.; Lang, L. F.; Scherzer, O. (2014) Decomposition of optical flow on the sphere. International Journal on Geomathematics, Bd. 5 (1), S. 117-141.
  • Beretta, E.; Grasmair, M.; Muszkieta, M.; Scherzer, O. (2014) A variational algorithm for the detection of line segments. Inverse Problems and Imaging, Bd. 8 (2), S. 389-408.
  • Gittelson, Claude Jeffrey; Andreev, Roman; Schwab, Christoph (2014, online: 2013) Optimality of adaptive Galerkin methods for random parabolic partial differential equations. Journal of Computational and Applied Mathematics, Bd. 263, S. 189-201.
  • Kar, Manas; Sini, Mourad (2014, online: 2013) Reconstructing obstacles by the enclosure method using the far field measurements in one step. Applicable Analysis: An International Journal, Bd. 6, S. 1327-1336.
  • Challa, D. P.; HU, G.; Sini, M. (2014) Multiple scattering of electromagnetic waves by finitely many point-like obstacles. Mathematical Models and Methods in Applied Sciences, Bd. 24 (5), S. 863-899.
  • Andreev, Roman; Schweitzer, Julia (2014) Conditional space-time stability of collocation Runge-Kutta for parabolic evolution equations. Electron Trans Numer Anal, Bd. 41, S. 62-80.
  • Fokas, A. S.; Kalimeris, K. (2014, online: 2013) Eigenvalues for the Laplace operator in the interior of an equilateral triangle. Computational Methods and Function Theory, Bd. 14 (1), S. 1-33.
  • Naumova, Valeriya; Pereverzyev, Sergei V.; Tkachenko, Pavlo (2014, online: 2013) Regularized collocation for spherical harmonics gravitational field modeling. International Journal on Geomathematics, Bd. 5 (1), S. 17.
  • Kar, Manas; Sini, Mourad (2014) Reconstruction of interfaces using CGO solutions for the Maxwell equations. Journal of Inverse and Ill-posed Problems, Bd. 22, S. 169-208.
  • Challa, D. P.; Sini, M. (2014) On the justification of the Foldy-Lax approximation for the acoustic scattering by small rigid bodies of arbitrary shapes. SIAM Multiscale Modeling and Simulation, Bd. 12 (1), S. 55-108.
  • Andreev, Roman (2014) Space-time discretization of the heat equation. Numerical Algorithms, Bd. 67, S. 713-731.
  • Andreev, Roman; Lang, Annika (2014) Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds. Potential Analysis, Bd. 41, S. 761-769.
  • Cao, Hui; Pereverzyev, Sergei; Sincich, Eva (2014, online: 2013) Discretized Tikhonov regularization for Robin boundaries localization. Applied Mathematics and Computation, Bd. 226, S. 374–385.
  • Sini, M.; Nakamura, G.; Kim, K. (2012) The Green function of the interior transmission problem and its applications. Inverse Problems and Imaging (IPI), Bd. 6 (3), S. 487-521.
  • Kittenberger, Axel; Mindrinos, Leonidas; Scherzer, Otmar Computed Origami Tomography. SIAM Review.

Book/Monograph

  • Fujiwara, Hiroshi; Sadiq, Kamran; Tamasan, Alexandru (online: 2023) The algebraic range of the planar $X$-ray transform of symmetric tensors and applications to noise reduction. In Reihe: Mathematics for Industry: Springer Nature Singapore.
  • Pereverzyev, Sergei (2022) An Introduction to Artificial Intelligence Based on Reproducing Kernel Hilbert Spaces. In Reihe: Compact Textbooks in Mathematics: Birkhäuser Cham.
  • Lopez-Martinez, Montse; Mercier, Gwenael; Sadiq, Kamran; Scherzer, Otmar; Schneider, Magdalena et al. [..] (2021, online: 2020) Inverse Problems of single molecule localization microscopy. In Reihe: Time-dependent Problems in Imaging and Parameter Identification: Springer Nature Switzerland AG (292 Seiten).
  • Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc; Scherzer, Otmar (online: 2021) The Tangential Cone Condition for Some Coefficient Identification Model Problems in Parabolic PDEs. In Reihe: Time-dependent Problems in Imaging and Parameter Identification: Springer Nature Switzerland AG (121 Seiten).
  • Naumova, Valeriya; Nita, Lucian; Poulsen, Jens Ulrik; Pereverzyev, Sergei V. (2016) Meta-Learning Based Blood Glucose Predictor for Diabetic Smartphone App. In Reihe: Lecture Notes in Bioengineering, hrsg. v. Kirchsteiger, Harald; Jørgensen, John Bagterp; Renard, Eric; Re, Luigi del, 1. Aufl.: Springer International Publishing.
  • Sini, Mourad (2015) Inverse Spectral Problems, 1-D, Theoretical Results. In Reihe: Encyclopedia of Applied and Computational Mathematics, Bd. 2015.
  • 1

Conference Contribution: Publication in Proceedings

  • Marius-Constantin Dinu, Markus Holzleitner, Maximilian Beck, Hoan Duc Nguyen, Andrea Huber, Hamid Eghbal-zadeh, Bernhard A. Moser, Sergei Pereverzyev, Sepp Hochreiter, Werner Zellinger (2023) Addressing Parameter Choice Issues in Unsupervised Domain Adaptation by Aggregation. (ICLR 2023, The Eleventh International Conference on Learning Representations).
  • Gauch, Martin; Beck, Maximilian; Adler, Thomas; Kotsur, Dmytro; Fiel, Stefan et al. [..] (2022) Few-Shot Learning by Dimensionality Reduction in Gradient Space. (Conference on Lifelong Learning Agents).
  • Moser, Bernhard A.; Lewandowski, Michal; Kargaran, Somayeh; Zellinger, Werner; Biggio, Battista et al. [..] (2022) Tessellation-Filtering ReLU Neural Networks., International Joint Conference on Artificial Intelligence (IJCAI 2022); Wien, S. 3335-3341.
  • Werner Zellinger, Natalia Shepeleva, Marius-Constantin Dinu, Hamid Eghbal-zadeh, Hoan Duc Nguyen, Bernhard Nessler, Sergei Pereverzyev, Bernhard A. Moser (2021) The balancing principle for parameter choice in distance-regularized domain adaptation. (NeurIPS 2021, Thirty-fifth Conference on Neural Information Processing Systems).
  • Elbau, P.; Mindrinos, L.; Scherzer, O. (online: 2017) Modeling polarization-sensitive OCT using inverse scattering techniques. (OSA Imaging and Applied Optics Congress, San Francisco, California, United States) In Reihe: Imaging and Applied Optics, Bd. 33, S. MW3C.3.
  • Dong, Guozhi; Scherzer, Otmar (online: 2017) Nonlinear Flows for Displacement Correction and Applications in Tomography. (International Conference on Scale Space and Variational Methods in Computer Vision) In Reihe: Lecture Notes in Computer Science, Bd. 33: Springer, S. 283-294.
  • Valuch, C.; Ansorge, U.; Buchinger, S.; Patrone, A. R.; Scherzer., O. (2014) The effect of cinematic cuts on human attention. (ACM International Conference on Interactive Experiences for TV and Online Video, TVX '14); Newcastle, S. 119-122.
  • Ansorge, U.; Buchinger, S.; Valuch, C.; Patrone, A. R.; Scherzer, O. (2014) Visual Attention in Edited Dynamical Images. (11th International Conference on Signal Processing and Multimedia Applications (SIGMAP-2014)) In Reihe: Proceedings of the 11th International Conference on Signal Processing and Multimedia Applications, S. 198-205.