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Publication page of Matti Lassas

Here is the list of my publications. I am very willing (of course) to send also paper copies of them to anyone interested. WARNING: The preprints of the papers may differ from the published versions of the articles.

Updated according to the publication list dated Jan. 8, 2026.

Monographs and monograph dissertation

  1. A. Katchalov, Y. Kurylev, M. Lassas: Inverse Boundary Spectral Problems, Monographs and Surveys in Pure and Applied Mathematics 123, Chapman Hall/CRC-press, 2001, xi+290 pp.
  2. M. Lassas: Non-selfadjoint inverse spectral problems and their applications to random bodies. Academiae Scientiarum Fennicae Annales. Mathematica. Dissertationes. 103 (1995), 108 pp.

Submitted papers and preprints

  1. C. Fefferman, S. Ivanov, M. Lassas, H. Narayanan: Fitting a manifold to data in the presence of large noise. Arxiv preprint.
  2. A. Kratsios, T. Furuya, J. Lara Benitez, M. Lassas, M. de Hoop: Mixture of Experts Soften the Curse of Dimensionality in Operator Learning. Arxiv preprint.
  3. Y. Kurylev, M. Lassas, J. Lu, T. Yamaguchi: Inverse Spectral Problems for Collapsing Manifolds I: Uniqueness and Stability. Arxiv preprint.
  4. M. Lassas, J. Lu, T. Yamaguchi: Inverse Spectral Problems for Collapsing Manifolds II: Quantitative Stability of Reconstruction for Orbifolds. Arxiv preprint.
  5. G. Covi, M. Lassas: An inverse problem for fractional random walks on finite graphs. Arxiv preprint.
  6. M. de Hoop, J. Ilmavirta, M. Lassas, A. Varilly-Alvarado: Reconstruction of generic anisotropic stiffness tensors from partial data around one polarization. Arxiv preprint.
  7. A. Kratsios, C. Liu, M. Lassas, M. de Hoop, I. Dokmanic: An Approximation Theory for Metric Space-Valued Functions With A View Towards Deep Learning. Arxiv preprint.
  8. S. Alexakis, H. Isozaki, M. Lassas, T. Tyni: Inverse scattering problems for non-linear wave equations on Lorentzian manifolds. Arxiv preprint.
  9. G. Alberti, E. De Vito, T. Helin, M. Lassas, L. Ratti, M. Santacesaria: Learning sparsity-promoting regularizers for linear inverse problems. Arxiv preprint.
  10. M. de Hoop, M. Lassas, J. Lu, L. Oksanen, Z. Zhao: An inverse Signorini obstacle problem. Arxiv preprint.
  11. X. Chen, M. Lassas, L. Oksanen, G. Paternain: An inverse problem for the Standard Model of particle physics. Arxiv preprint.
  12. M. Lassas, M. Nursultanov, L. Oksanen, J. Schotland: Quantum field theory and inverse problems: imaging with entangled photons. Arxiv preprint.

Published papers

Papers in international refereed journals

In print

  1. F. Schneider, D.-L. Duong, M. Lassas, M. de Hoop, T. Helin: An Unconditional Representation of the Conditional Score in Infinite-Dimensional Linear Inverse Problems. To appear in Transactions on Machine Learning Research. Arxiv preprint.
  2. J. Agnelli, F. Moura, S. Rautio, M. Alsaker, R. Murthy, M. Lassas, S. Siltanen: Stroke classification using Virtual Hybrid Edge Detection from in silico electrical impedance tomography data. To appear in Inverse Problems and Imaging. Arxiv preprint.

2025

  1. M. Alsaker, S. Rautio, F. Moura, J. Agnelli, R. Murthy, M. Lassas, J. Mueller, S. Siltanen: CT scans without X-rays: parallel-beam imaging from nonlinear current flows. Applied Mathematics for Modern Challenges 5 (2025), pp. 1–35.
  2. C. Fefferman, S. Ivanov, M. Lassas, J. Lu, H. Narayanan: Reconstruction and interpolation of manifolds II: Inverse problems for Riemannian manifolds with partial distance data. American Journal of Mathematics. 147 (2025), no. 5, 1331–1382.
  3. J. Ilmavirta, A. Kykkanen, M. Lassas, T. Saksala, A. Shedlock: Lipschitz Stability of Travel Time Data. Journal of Geometric Analysis. 35 (2025), no. 8, Paper No. 244, 37 pp.
  4. M. Lassas, L. Oksanen, S. Sahoo, M. Salo, A. Tetlow: Inverse problems for non-linear Schrödinger equations with time-dependent coefficients. SIAM Journal on Mathematical Analysis. 57 (2025), no. 4, 4425–4458.
  5. C. Fefferman, S. Ivanov, M. Lassas, H. Narayanan: Fitting a manifold of large reach to noisy data. Journal of Topology and Analysis. 17 (2025), no. 2, 315–396, 84 pp.
  6. M. de Hoop, J. Ilmavirta, M. Lassas: Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity. Journal de Mathematiques Pures et Appliquees 196 (2025), Paper No. 103688, 21 pp.
  7. X. Chen, M. Lassas, L. Oksanen, G. Paternain: Retrieving Yang–Mills–Higgs fields in Minkowski space from active local measurements. Mathematiche Annalen 391 (2025), no. 2, 2385–2428, 44 pp.
  8. J. Ilmavirta, M. Lassas, J. Lu, L. Oksanen, L. Ylinen: Quantum computing algorithms for inverse problems on graphs and an NP-complete inverse problem. Inverse Problems and Imaging. 19 (2025), no. 4, 660–692.
  9. D. Burago, S. Ivanov, M. Lassas, J. Lu: Stability of the Gel'fand inverse boundary problem via the unique continuation. Analysis & PDE 18 (2025), no. 4, 963–1035, 74 pp.
  10. M. Lassas, T. Liimatainen, L. Potenciano-Machado, T. Tyni: Stability and Lorentzian geometry for an inverse problem of a semilinear wave equation. Analysis & PDE 18 (2025), no. 5, 1065-1118.
  11. F. Cakoni, N. Hovsepyan, M. Lassas, M. Vogelius: On the lack of external response of a nonlinear medium in the second-harmonic generation process SIAM Journal on Mathematical Analysis 57 (2025), no. 2, 1370–1405, 41 pp.

2024

  1. E. Blasten, P. Exner, H. Isozaki, M. Lassas, J. Lu: Inverse problems for locally perturbed lattices – Discrete Hamiltonian and quantum graph. Annales Henri Lebesgue 7 (2024), 267–305, 36 pp.
  2. M. Lassas, M. Nursultanov, L. Oksanen, L. Ylinen: Disjoint data inverse problem on manifolds with quantum chaos bounds. SIAM Journal on Mathematical Analysis 56 (2024), no. 6, 7748–7779.
  3. E. Karvonen, M. Lassas, P. Pankka, S. Siltanen: TILT – Topological Interface Recovery in Limited-Angle Tomography. SIAM Journal on Imaging Sciences (SIIMS) 17 (2024), no. 3, 1761–1794.
  4. M. de Hoop, M. Lassas, J. Lu, L. Oksanen: Stable Recovery of Coefficients in an Inverse Fault Friction Problem. Archive for Rational Mechanics and Analysis (ARMA) 248 (2024), no. 4, paper 64.
  5. M. Lassas, T. Liimatainen, L. Potenciano-Machado, T. Tyni: An inverse problem for a semi-linear wave equation: a numerical study. Inverse Problems and Imaging 18 (2024), no. 1, 62-85.
  6. C. Carstea, M. Lassas, T. Liimatainen, L. Oksanen: An inverse problem for the Riemannian minimal surface equation. Journal of Differential Equations 379 (2024), 626-648.
  7. S. Latva-Aijo, F. Zanetti, A. Honkanen, S. Huotari, M. Lassas, S. Siltanen: Inner product regularized multi-energy X-ray tomography for material decomposition. Applied Mathematics for Modern Challenges 2 (2024), 1-16.

2023

  1. M. de Hoop, M. Lassas, J. Lu, L. Oksanen: Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem Communications in Partial Differential Equations 48 (2023), no. 2, 286-314.
  2. M. de Hoop, M. Lassas, J. Lu, L. Oksanen: Stable reconstruction of simple Riemannian manifolds from unknown interior sources. Inverse Problems 39 (2023), no. 9, Paper No. 095002, 43 pp.
  3. E. Blasten, H. Isozaki, M. Lassas, J. Lu: Inverse problems for discrete heat equations and random walks. SIAM Journal on Discrete Mathematics. 37 (2023), no. 2, 831-863.
  4. S. Rautio, R. Murthy, T. Bubba, M. Lassas, S. Siltanen: Learning a microlocal prior for limited-angle tomography. The IMA Journal of Applied Mathematics 88 (2023), pp. 888-916.
  5. M. Lassas, T. Liimatainen: Conformal harmonic coordinates. Communications in Analysis and Geometry. 31 (2023), no. 8, 2101-2155, 39 pp.
  6. M. Lassas, Z. Li, Z. Zhang: Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems. Inverse Problems 39 (2023), no. 8, Paper No. 084001, 36 pp.
  7. E. Blasten, H. Isozaki, M. Lassas, J. Lu: Gelfand's inverse problem for the graph Laplacian. Journal of Spectral Theory 13 (2023), no. 1, 1-45.
  8. T. von Lerber, V. Lyubopytov, L. Ylinen, M. Lassas, F. Kuppers: All-optical phase memory circuit based on two coupled lasers and external optical injection. IEEE Journal of Selected Topics in Quantum Electronics 29 (2023): 7500211.
  9. H. Kekkonen, M. Lassas, E. Saksman, S. Siltanen: Random tree Besov priors – Towards fractal imaging. Inverse problems and Imaging 17 (2023), no. 2, 507-531.
  10. M. de Hoop, J. Ilmavirta, M. Lassas, T. Saksala: Determination of a compact Finsler manifold from its boundary distance map and an inverse problem in elasticity. Communications in Analysis and Geometry 31 (2023), no. 7, 1693–1747.

2022

  1. Y. Kurylev, M. Lassas, L. Oksanen, G. Uhlmann: Inverse problem for Einstein-scalar field equations. Duke Mathematical Journal 171 (2022), 3215-3282, 67 pp.
  2. T. Balehowsky, A. Kujanpaa, M. Lassas, T. Liimatainen: An Inverse Problem for the Relativistic Boltzmann Equation. Communications in Mathematical Physics 396 (2022), 983-1049.
  3. M. Lassas, T. Liimatainen, L. Potenciano-Machado, T. Tyni: Uniqueness and stability of an inverse problem for a semi-linear wave equation. Journal of Differential Equations 337 (2022), 395-435.
  4. M. Lassas, T. Liimatainen, M. Salo: The Calderon problem for the conformal Laplacian. Communications in Analysis and Geometry (2022), no. 5, 1121–1184.
  5. T. Balehowsky, M. Lassas, P. Pankka, V. Sirvio: Transformation Optics for the Modelling of Waves in a Universe with Nontrivial Topology. SIAM Journal on Mathematical Analysis 54 (2022), no. 3, 3420–3456.
  6. X. Chen, M. Lassas, L. Oksanen, G. Paternain: Detection of Hermitian connections in wave equations with cubic non-linearity. Journal of European Mathematical Society (JEMS) 24 (2022), no. 7, 2191–2232.
  7. C. Guillarmou, M. Lassas, L. Tzou: X-Ray Transform in Asymptotically Conic Spaces. International Mathematics Research Notices (IMRN) 5 (2022), 3918-3976.
  8. M. Puthawala, K. Kothari, M. Lassas, I. Dokmanic, M. de Hoop: Globally Injective ReLU Networks. Journal of Machine Learning Research (JMLR) 105 (2022), 1-55.
  9. R. Bosi, Y. Kurylev, M. Lassas: Reconstruction and stability in Gel'fand's inverse interior spectral problem. Analysis and PDE 15 (2022) 273–326.
  10. J. Gondzio, M. Lassas, S. Latva-Aijo, S. Siltanen, F. Zanetti: Material-separating regularizer for multi-energy X-ray tomography. Inverse Problems 38 (2022), 025013.
  11. L. Ylinen, T. von Lerber, F. Kuppers, M. Lassas: Analysis of a dynamical system modeling lasers and applications for optical neural networks. SIAM Journal on Applied Dynamical Systems (SIADS) Vol. 21 (2022), 39 pp.

2021

  1. A. Feizmohammadi, M. Lassas, L. Oksanen: Inverse problems for non-linear hyperbolic equations with disjoint sources and receivers. Forum of Mathematics, Pi 9 (2021), Paper No. e10, 52 pp.
  2. J. Agnelli, V. Kolehmainen, M. Lassas, P. Ola, S. Siltanen: Simultaneous Reconstruction of Conductivity, Boundary Shape, and Contact Impedances in Electrical Impedance Tomography. SIAM Journal on Imaging Sciences 14 (2021), 1407–1438.
  3. M. de Hoop, J. Ilmavirta, M. Lassas, T. Saksala: A foliated and reversible Finsler manifold is determined by its broken scattering relation. Pure and Applied Analysis Vol. 3 (2021), No. 4, 789-811.
  4. X. Chen, M. Lassas, L. Oksanen, G. Paternain: Inverse problem for the Yang-Mills equations. Communications in Mathematical Physics 384 (2021), no. 2, 1187-1225.
  5. M. de Hoop, M. Lassas, C. Wong: Deep learning architectures for nonlinear operator functions and nonlinear inverse problems. Mathematical Statistics and Learning, European Mathematical Society, 4 (2021), no. 1-2, 1-86, 86 pp.
  6. A. Kirpichnikova, J. Korpela, M. Lassas, L. Oksanen: Construction of artificial point sources for a linear wave equation in unknown medium. SIAM Journal on Control and Optimization (SICON) 59 (2021), no. 5, 3737-3761.
  7. T. Bubba, M. Galinier, M. Lassas, M. Prato, L. Ratti, S. Siltanen: Deep neural networks for inverse problems with pseudodifferential operators: an application to limited-angle tomography. SIAM Journal on Imaging Sciences (SIIMS) 14 (2021), no. 2, 470-505.
  8. M. Lassas, T. Liimatainen, Y.-H. Lin, M. Salo: Inverse problems for elliptic equations with power type nonlinearities. Journal de Mathematiques Pures et Appliquees 145 (2021), 44-82.
  9. M. Lassas, T. Liimatainen, Y.-H. Lin, M. Salo: Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations. Revista Matematica Iberoamericana 37 (2021), no. 4, 1553-1580.

2020

  1. J. Agnelli, A. Col, M. Lassas, R. Murthy, M. Santacesaria, S. Siltanen: Classification of stroke using Neural Networks in Electrical Impedance Tomography. Inverse Problems 36 (2020), no. 11, 115008, 26 pp.
  2. D. Dos Santos Ferreira, Y. Kurylev, M. Lassas, T. Liimatainen, M. Salo: The linearized Calderon problem in transversally anisotropic geometries. International Mathematics Research Notices (IMRN) 2020, no. 22, 8729-8765.
  3. C. Fefferman, S. Ivanov, Y. Kurylev, M. Lassas, H. Narayanan: Reconstruction and interpolation of manifolds I: The geometric Whitney problem. Foundations of Computational Mathematics 20 (2020), 1035-1133.
  4. C. Fefferman, S. Ivanov, M. Lassas, H. Narayanan: Reconstruction of a Riemannian manifold from noisy intrinsic distances. SIAM Journal on Mathematics of Data Science 2 (2020), No. 3, 770–808.
  5. M. Lassas, L. Oksanen, P. Stefanov, G. Uhlmann: The Light Ray transform on Lorentzian manifolds. Communications in Mathematical Physics 377 (2020), no. 2, 1349-1379.
  6. T. Helin, M. Lassas, L. Ylinen, Z. Zhang: Inverse problems for heat equation and space-time fractional diffusion equation with one measurement. Journal of Differential Equations 269 (2020), no. 9, 7498-7528.
  7. M. Lassas, T. Liimatainen, M. Salo: The Poisson embedding approach to the Calderon problem. Mathematiche Annalen 377 (2020), no. 1-2, 19-67.

2019

  1. T. von Lerber, M. Lassas, Q.T. Le, V. Lyubopytov, L. Ylinen, A. Chipouline, K. Hofmann, F. Kueppers: All-optical majority gate based on an injection-locked laser. Scientific Reports 9 (2019), 14576.
  2. Y. Kian, Y. Kurylev, M. Lassas, L. Oksanen: Hyperbolic inverse problem with data on disjoint sets. Journal of Differential Equations 267 (2019), 2053-2686.
  3. T. Bubba, G. Kutyniok, M. Lassas, M. Marz, W. Samek, S. Siltanen, V. Srinivasan: Learning The Invisible: A Hybrid Deep Learning-Shearlet Framework for Limited Angle Computed Tomography. Inverse Problems 35 (2019), 064002.
  4. P. Caro, T. Helin, M. Lassas: Inverse scattering for a random potential. Analysis and Applications. 17 (2019), No. 04, pp. 513-567.
  5. J. Korpela, M. Lassas, L. Oksanen: Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation. Inverse Problems and Imaging 13 (2019), 575-596.
  6. M. Lassas, T. Saksala: Determination of a Riemannian manifold from the distance difference functions. Asian Journal of Mathematics 23 (2019), no. 2, 173–199.

2018

  1. Y. Kurylev, M. Lassas, G. Uhlmann: Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations. Inventiones Mathematicae 212 (2018), no. 3, 781-857.
  2. P. Caro, T. Helin, A. Kujanpaa, M. Lassas: Correlation imaging in inverse scattering is tomography on probability distributions. Inverse Problems 35 (2018), 015010.
  3. M. Lassas, T. Saksala, H. Zhou: Reconstruction of a compact manifold from the scattering data of internal sources. Inverse Problems and Imaging 12 (2018), no. 4, 993–1031.
  4. M. Lassas, G. Uhlmann, Y. Wang: Inverse problems for semilinear wave equations on Lorentzian manifolds. Communications in Mathematical Physics 360 (2018), no. 2, 555–609.
  5. M. Lassas, L. Oksanen, P. Stefanov, G. Uhlmann: On the inverse problem of finding cosmic strings and other topological defects. Communications in Mathematical Physics 357 (2018), no. 2, 569–595.
  6. H. Kettunen, M. Lassas, P. Ola: On Absence and Existence of the Anomalous Localized Resonance without the Quasi–static Approximation. SIAM Journal on Applied Mathematics 78 (2018), no. 1, 609–628.
  7. R. Bosi, Y. Kurylev, M. Lassas: Stability of the unique continuation for the wave operator via Tataru inequality: the local case. Journal d'Analyse Mathematique 134 (2018), no. 1, 157–199.
  8. A. Greenleaf, M. Lassas, M. Santacesaria, S. Siltanen, G. Uhlmann: Propagation and recovery of singularities in the inverse conductivity problem. Analysis and PDE 11 (2018), no. 8, 1901–1943.
  9. T. Helin, M. Lassas, L. Oksanen, T. Saksala: Correlation based passive imaging with a white noise source. Journal de Mathématiques Pures et Appliquées (9) 116 (2018), 132–160.
  10. A. Greenleaf, H. Kettunen, Y. Kurylev, M. Lassas, G. Uhlmann: Superdimensional Metamaterial Resonators. SIAM Journal on Applied Mathematics 78 (2018), no. 1, 437–456.

2017

  1. H. Isozaki, Y. Kurylev, M. Lassas: Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces. Journal für die reine und angewandte Mathematik 724 (2017), 53–103.
  2. T. Helin, M. Lassas, L. Paivarinta: Inverse acoustic scattering problem in half–space with anisotropic random impedance. Journal of Differential Equations 262 (2017), no. 4, 3139–3168.

2016

  1. D. Dos Santos Ferreira, Y. Kurylev, M. Lassas, M. Salo: The Calderon problem in transversally anisotropic geometries. Journal of European Mathematical Society (JEMS) 18 (2016), no. 11, 2579–2626.
  2. K. Niinimaki, M. Lassas, K. Hamalainen, A. Kallonen, V. Kolehmainen, E. Niemi, S. Siltanen: Multi–resolution parameter choice method for total variation regularized tomography. SIAM Journal on Imaging Sciences (SIIMS) 9 (2016), no. 3, 938–974.
  3. M. Lassas, T. Zhou: The blow–up of electromagnetic fields in 3–dimensional invisibility cloaking for Maxwell's equations. SIAM Journal on Applied Mathematics 76 (2016), 457–478.
  4. H. Kekkonen, M. Lassas, S. Siltanen: Posterior consistency and convergence rates for Bayesian inversion with hypoelliptic operators. Inverse Problems 32 (2016), N. 8, 085005.
  5. K. Astala, M. Lassas, L. Paivarinta: The borderlines of the invisibility and visibility for Calderon's inverse problem. Analysis and PDE 9 (2016), 43–98.
  6. M. Lassas, L. Oksanen, Y. Yang: Determination of the Spacetime from Local Time Measurements. Mathematische Annalen 365 (2016), 271.
  7. R. Bosi, Y. Kurylev, M. Lassas: Stability of the unique continuation for the wave operator via Tataru inequality and applications. Journal of Differential Equations 260 (2016), 6451–6492.
  8. J. Korpela, M. Lassas, L. Oksanen: Regularization strategy for inverse problem for 1+1 dimensional wave equation. Inverse Problems 32 (2016), 065001.
  9. M. de Hoop, M. Lassas, M. Santacesaria, S. Siltanen, J. Tamminen: Positive–energy D–bar method for acoustic tomography: a computational study. Inverse Problems 32 (2016), 025003.

2015

  1. E. Niemi, M. Lassas, A. Kallonen, L. Harhanen, K. Hamalainen, S. Siltanen: Dynamic multi–source X–ray tomography using a spacetime level set method. Journal of Computational Physics 291 (2015), 218–237.
  2. M. de Hoop, S. Holman, E. Iversen, M. Lassas, B. Ursin: Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times. Journal de Mathématiques Pures et Appliquées 103 (2015), 830–848.
  3. M. Lassas, M. Salo, L. Tzou: Inverse problems and invisibility cloaking for FEM models and resistor networks. Mathematical Models and Methods in Applied Sciences (M3AS) 25 (2015), 309.

2014

  1. M. Lassas, L. Oksanen: Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets. Duke Mathematical Journal 163 (2014), 1071–1103.
  2. T. Helin, M. Lassas, L. Oksanen: Inverse problem for the wave equation with a white noise source. Communications in Mathematical Physics 332 (2014), 933–953.
  3. M. de Hoop, S. Holman, E. Iversen, M. Lassas, B. Ursin: Reconstruction of a conformally Euclidean metric from local boundary diffraction travel times, SIAM Journal on Applied Mathematics 46 (2014), 3705–3726.
  4. H. Kekkonen, M. Lassas, S. Siltanen: Analysis of regularized inversion of data corrupted by white Gaussian noise. Inverse Problems 30 (2014), 045009. Corrigendum: Inverse Problems 32 (2016), 099501.
  5. J. Takalo, J. Timonen, J. Sampo, M. Rantala, S. Siltanen, M. Lassas: Using the fibre structure of paper to determine authenticity of the documents: analysis of transmitted light images of stamps and banknotes, Forensic Science International 244 (2014), 252–258.
  6. S. Hamilton, M. Lassas and S. Siltanen: A Direct Reconstruction Method for Anisotropic Electrical Impedance Tomography. Inverse Problems 30 (2014), 075007.
  7. K. Krupchyk, M. Lassas, G. Uhlmann: Inverse boundary value problems for the perturbed polyharmonic operator. Transactions of American Mathematical Society 366 (2014), 95–112.
  8. J. Sampo, J. Takalo, S. Siltanen, A. Miettinen, M. Lassas, J. Timonen: Curvelet–based method for orientation estimation of particles from optical images. SPIE Optical engineering 53 (2014) 033109.
  9. J. Takalo, J. Timonen, J. Sampo, K. Marjanen, S. Siltanen and M. Lassas: Evaluation of the orientation distribution of fibers from reflection images of fibrous samples. European Physical Journal – Applied Physics 65 (2014), 10703.

2013

  1. K. Hamalainen, A. Kallonen, V. Kolehmainen, M. Lassas, K. Niinimaki, S. Siltanen: Sparse tomography. SIAM Journal on Scientific Computing 35 (2013), 644–665.
  2. V. Kolehmainen, M. Lassas, P. Ola, S. Siltanen: Recovering boundary shape and conductivity in electrical impedance tomography. Inverse Problems and Imaging 7 (2013), 217–242.

2012

  1. A. Greenleaf, Y. Kurylev, M. Lassas, U. Leonhardt, G. Uhlmann: Schrödinger's Hat: Electromagnetic, acoustic and quantum amplifiers via transformation optics. Proceedings of the National Academy of Sciences (PNAS) 109 (2012), no. 26, 10169–10174.
  2. K. Krupchyk, M. Lassas: An inverse problem for a hyperbolic system on a vector bundle and energy measurements. Mathematische Annalen, 354 (2012), no. 4, 1431–1464.
  3. T. Helin, M. Lassas, L. Oksanen: An inverse problem for the wave equation with one measurement and the pseudorandom source. Analysis and PDE 5 (2012), 887–912.
  4. M. Lassas, J. Mueller, S. Siltanen, A. Stahel: The Novikov–Veselov Equation and the Inverse Scattering Method, Part I: Analysis. Physica D 241 (2012), 1322–1335.
  5. M. Lassas, J. Mueller, S. Siltanen, A. Stahel: The Novikov–Veselov Equation and the Inverse Scattering Method, Part II: Computation. Nonlinearity 25 (2012), 1799–1818.
  6. K. Krupchyk, M. Lassas, G. Uhlmann: Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab and on a bounded domain. Communications in Mathematical Physics 312 (2012), 87–126.
  7. V. Kolehmainen, M. Lassas, K. Niinimaki, S. Siltanen: Sparsity promoting Bayesian inversion. Inverse Problems 28 (2012) 025005 (28pp).
  8. K. Krupchyk, M. Lassas, G. Uhlmann: Determining a first order perturbation of the biharmonic operator by partial boundary measurements. Journal of Functional Analysis 262 (2012), 1781–1801.

2011

  1. T. Helin, M. Lassas: Hierarchical models in statistical inverse problems and the Mumford–Shah functional. Inverse Problems 27 (2011), 015008, 32 pp.
  2. K. Krupchyk, M. Lassas, S. Siltanen: Determining electrical and heat transfer parameters using coupled boundary measurements. SIAM Journal on Mathematical Analysis 43 (2011), 2096–2115.
  3. M. Lassas, T. Zhou: Two dimensional invisibility cloaking for Helmholtz equation and non–local boundary conditions. Mathematical Research Letters 18 (2011), 473–488.
  4. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Approximate quantum and acoustic cloaking. Journal of Spectral Theory 1 (2011), 27–80.
  5. K. Krupchyk, M. Lassas, G. Uhlmann: Inverse problems for differential forms on Riemannian manifolds with boundary. Communications in Partial Differential Equations 36 (2011), 1475–1509.
  6. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Cloaking a Sensor via Transformation Optics. Physical Review E 83 (2011), 016603.
  7. J. Takalo, J. Timonen, J. Sampo, S. Siltanen, M. Lassas: Evaluation of the areal material distribution of paper from its optical transmission image. European Physical Journal – Applied Physics 55 (2011), 20701.

2010

  1. H. Isozaki, Y. Kurylev, M. Lassas: Forward and Inverse scattering on manifolds with asymptotically cylindrical ends. Journal of Functional Analysis 258 (2010), 2060–2118.
  2. Y. Kurylev, M. Lassas, G. Uhlmann: Rigidity of broken geodesic flow and inverse problems. American Journal of Mathematics 132 (2010), 529–562.
  3. V. Kolehmainen, M. Lassas, P. Ola: Calderon's inverse problem with an imperfectly known boundary and reconstruction up to a conformal deformation. SIAM Journal on Mathematical Analysis 42 (2010), 1371–1381.
  4. T. Helin, M. Lassas, S. Siltanen: Infinite Photography: new mathematical model for high–resolution images. Journal of Mathematical Imaging and Vision 36 (2010), 140–158.
  5. N. Hyvönen, M. Kalke, M. Lassas, H. Setala, S. Siltanen: Three–dimensional X–ray imaging using hybrid data collected with a digital panoramic device. Inverse Problems and Imaging, special issue on Medical Imaging, 4 (2010), 257–271.
  6. K. Krupchyk, Y. Kurylev, M. Lassas: Reconstruction of Betti numbers of manifolds for anisotropic Maxwell and Dirac systems. Communications in Analysis and Geometry 18 (2010), 963–986.
  7. M. Lassas, L. Oksanen: Inverse problem for wave equation with sources and observations on disjoint set. Inverse Problems 26 (2010), 085012, 19 pp.

2009

  1. K. Knudsen, M. Lassas, J. Mueller, S. Siltanen: Regularized D–bar method for the inverse conductivity problem. Inverse Problems and Imaging 3 (2009), 559–642.
  2. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Cloaking Devices, Electromagnetic Wormholes and Singular Transformation Optics. SIAM Review 51 (2009), 3–33.
  3. Y. Kurylev, M. Lassas: Inverse Problems and Index Formulae for Dirac Operators. Advances in Mathematics 221 (2009), 170–216.
  4. M. Dahl, A. Kirpichnikova, M. Lassas: Focusing waves in unknown media by modified time reversal iteration. SIAM Journal on Control and Optimization 48 (2009), 839–858.
  5. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Invisibility and Inverse Problems. Bulletin of the American Mathematical Society 46 (2009), 55–97.
  6. M. Lassas, S. Saksman, S. Siltanen: Discretization invariant Bayesian inversion and Besov space priors. Inverse Problems and Imaging 3 (2009), 87–122.
  7. S. Vanska, M. Lassas, S. Siltanen: Statistical X–ray tomography using empirical Besov priors International Journal of Tomography and Statistics. 30 (2009), 3–32.

2008

  1. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Approximate quantum cloaking and almost trapped states. Physical Review Letters 101 (2008), 220404.
  2. V. Kolehmainen, M. Lassas, S. Siltanen: Limited data X–ray tomography using nonlinear evolution equations. SIAM Journal on Scientific Computing 30 (2008), 1413–1429.
  3. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Electromagnetic wormholes via handlebody constructions. Communications in Mathematical Physics 281 (2008), 369–385.
  4. M. Lassas, L. Paivarinta, E. Saksman: Inverse Schrödinger scattering for random potentials in plane. Communications in Mathematical Physics 279 (2008), 669–703.
  5. V. Kolehmainen, M. Lassas, P. Ola: Electrical Impedance Tomography Problem with Inaccurately Known Boundary and Contact Impedances. IEEE Transactions on Medical Imaging 27 (2008), 1404–1414.
  6. K. Krupchyk, Y. Kurylev, M. Lassas: Inverse spectral problems on a closed manifold. Journal de Mathematique Pures et Appliquees 90 (2008), 42–59.
  7. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Isotropic transformation optics: approximate acoustic and quantum cloaking. New Journal of Physics 10 (2008) 115024 (28pp).
  8. K. Bingham, Y. Kurylev, M. Lassas, S. Siltanen: Iterative time reversal control for inverse problems. Inverse Problems and Imaging 2 (2008), 63–81.
  9. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Improvement of cylindrical cloaking with the SHS lining. Optics Express 2 (2008), 63–81.

2007

  1. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Full–wave invisibility of active devices at all frequencies. Communications in Mathematical Physics 275 (2007), 749–789.
  2. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Electromagnetic wormholes and virtual magnetic monopoles from metamaterials. Physical Review Letters 99, 183901 (2007). Article was chosen to be Editors' suggestion in the Highlights of PRL.
  3. K. Knudsen, J. Mueller, M. Lassas, S. Siltanen: D–bar method for Electrical Impedance Tomography with discontinuous coefficients. SIAM Journal on Applied Mathematics 67 (2007), 893–913.
  4. V. Kolehmainen, A. Vanne, S., S. Jarvenpaa, J. Kaipio, M. Lassas, M. Kalke: Bayesian Inversion Method for 3–D Dental X–ray Imaging. Elektrotechnik und Informationstechnik 124 (2007), 248–253.
  5. M. Lassas, J. Mueller, S. Siltanen: Mapping properties of the nonlinear Fourier transform in dimension two. Communications in Partial Differential Equations 32 (2007), 591–610.
  6. V. Kolehmainen, M. Lassas, P. Ola: The inverse conductivity problem with an imperfectly known boundary in three dimensions. SIAM Journal on Applied Mathematics 67 (2007), 1440–1452.
  7. A. Katsuda, Y. Kurylev, M. Lassas: Stability of boundary distance representation and reconstruction of Riemannian manifolds. Inverse Problems and Imaging 1 (2007), 135–157.

2006

  1. V. Kolehmainen, A. Vanne, S. Siltanen, S. Jarvenpaa, J. Kaipio, M. Lassas, M. Kalke: Parallelized Bayesian inversion for three dimensional dental x–ray imaging. IEEE Transactions on Medical Imaging 25 (2006), 218–228.
  2. Y. Kurylev, M. Lassas, E. Somersalo: Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems. Journal de Mathematique Pures et Appliquees 86 (2006), no. 3, 237–270.
  3. M. Rantala, S. Vanska, S. Jarvenpaa, M. Kalke, M. Lassas, J. Moberg, S. Siltanen: Wavelet–based reconstruction for limited angle X–ray tomography. IEEE Transactions on Medical Imaging 25 (2006), 210–217.
  4. Y. Kurylev, M. Lassas: Multidimensional Gel'fand Inverse Boundary Spectral Problem: Uniqueness and Stability. CUBO Mathematical Journal 8 (2006), no. 1, 41–59.

2005

  1. V. Kolehmainen, M. Lassas, P. Ola: Inverse conductivity problem with an imperfectly known boundary. SIAM Journal on Applied Mathematics 21 (2005), 365–383.
  2. Y. Kurylev, M. Lassas, R. Weder: Multidimensional Borg–Levinson theorem. Inverse Problems 21 (2005), 1685–1697.
  3. K. Astala, M. Lassas, L. Paivarinta: Calderon's inverse problem for anisotropic conductivity in the plane. Communications in Partial Differential Equations 30 (2005), no. 1–3, 207–224.

2004

  1. M. Anderson, A. Katsuda, Y. Kurylev, M. Lassas, M. Taylor: Boundary regularity for the Ricci equation. Geometric Convergence, and Gel'fand's Inverse Boundary Problem. Inventiones Mathematicae 158 (2004), 261–321.
  2. M. Lassas, S. Siltanen: Can one use total variation prior for edge preserving Bayesian inversion? Inverse Problems 20 (2004), 1537–1564.
  3. A. Katchalov, Y. Kurylev, M. Lassas, N. Mandache: Equivalence of time–domain inverse problems and boundary spectral problem. Inverse problems 20 (2004), 419–436.

2003

  1. A. Greenleaf, M. Lassas, G. Uhlmann: On nonuniqueness for Calderón's inverse problem. Mathematical Research Letters 10 (2003), 685–693.
  2. A. Greenleaf, M. Lassas, G. Uhlmann: The Calderón problem for conormal potentials, I: Global uniqueness and reconstruction. Communications on Pure and Applied Mathematics 56 (2003), 328–352.
  3. M. Lassas, M. Taylor, G. Uhlmann: The Dirichlet–to–Neumann map for complete Riemannian manifolds with boundary. Communications in Analysis and Geometry 11 (2003), 207–222.
  4. M. Lassas, V. Sharafutdinov, G. Uhlmann: Semiglobal boundary rigidity for Riemannian metric. Mathematische Annalen 325 (2003), no. 4, 767–793.
  5. S. Siltanen, V. Kolehmainen, S. Jarvenpaa, J. Kaipio, P. Koistinen, M. Lassas, J. Pirttila, E. Somersalo: Statistical inversion for X–ray tomography with few radiographs I: General theory. Physics in Medicine and Biology 48 (2003), 1437–1463.
  6. V. Kolehmainen, S. Siltanen, S. Jarvenpaa, J. Kaipio, P. Koistinen, M. Lassas, J. Pirttila, E. Somersalo: Statistical inversion for X-ray tomography with few radiographs II: Applications to dental radiology. Physics in Medicine and Biology 48 (2003), 1465–1490.
  7. M. Anderson, A. Katsuda, Y. Kurylev, M. Lassas, M. Taylor: Metric tensor estimates, geometric convergence, and inverse boundary problems. Electronic Research Announcements of American Mathematical Society 9 (2003), 69–79.

2002

  1. Y. Kurylev, M. Lassas: Hyperbolic inverse boundary-value problem and time-continuation of the non-stationary Dirichlet-to-Neumann map. Proceedings of the Royal Society of Edinburgh. Section A 132 (2002), no. 4, 931–949.
  2. M. Lassas, M. Mataich, E. Somersalo, S. Siltanen: Wind velocity observation with a CW Doppler radar. IEEE Transactions on Geoscience and Remote Sensing 40 (2002), 2427–2438.

2001

  1. M. Lassas, G. Uhlmann: Determining Riemannian manifold from boundary measurements. Annales Scientifiques de l'École Normale Supérieure 34 (2001), no. 5, 771–787.
  2. M. Lassas, J. Liukkonen, E. Somersalo: Complex Riemannian metric and absorbing boundary condition. Journal de Mathématiques Pures et Appliquées (9) 80 (2001), no. 7, 739–768.
  3. M. Lassas, E. Somersalo: Analysis of the PML equations in general convex geometry. Proceedings of the Royal Society of Edinburgh. Section A 131 (2001), no. 5, 1183–1207.
  4. M. Cheney, D. Isaacson, M. Lassas: Optimal acoustic measurements. SIAM Journal on Applied Mathematics 61 (2001), no. 5, 1628–1647.

2000

  1. Y. Kurylev, M. Lassas: Gelf'and inverse problem for a quadratic operator pencil. Journal of Functional Analysis 176 (2000), 247–263.

1999

  1. M. Lassas: The inverse boundary spectral problem for a hyperbolic equation with first order perturbation. Applicable Analysis 70 (1999), 219–231.

1998

  1. M. Lassas: Inverse boundary spectral problem for non–selfadjoint Maxwell's equations with incomplete data. Communications in Partial Differential Equations 23 (1998), 629–648.
  2. M. Lassas: The essential spectrum of non–selfadjoint Maxwell operator in a bounded domain. Journal of Mathematical Analysis and Applications 224 (1998), 201–217.
  3. M. Lassas, M. Cheney, G. Uhlmann: Uniqueness for a wave propagation inverse problem in a half space. Inverse Problems 14 (1998), 679–684.
  4. M. Lassas, E. Somersalo: On the existence and the convergence of the solution of the PML equations. Computing 60 (1998), 229–241.
  5. Y. Kurylev, M. Lassas: Abel–Lidskii basis in non–selfadjoint inverse boundary problem. Zap. Nauchn. semin. POMI, 250 (1998), 161–191. Translation in Journal of Mathematical Sciences (New York) 102 (2000), no. 4, 4237–4257.

1997

  1. M. Lassas: Impedance imaging problem as a low frequency limit. Inverse Problems 13 (1997), 1503–1518.
  2. Y. Kurylev, M. Lassas: The multidimensional Gel'fand inverse problem for non–selfadjoint operators. Inverse Problems 13 (1997), 1495–1501.

Invited papers in edited collections and refereed conference proceedings

In print

  1. M. de Hoop, M. Lassas, D. Mis: Semialgebraic neural networks: From roots to representations. To appear in International Conference in Learning Representations 2025. Proceedings of International Conference on Learning Representations ICLR 2025.
  2. M. Lassas: Introduction to inverse problems for non-linear partial differential equations. To appear in Proceedings 9th European Congress of Mathematicians 15-19 July, 2024, Sevilla, Spain, (Volume on invited talks). Arxiv preprint.
  3. H. Isozaki, M. Lassas, J. Lu: An inverse problem for the Schrödinger equation on graphs. To appear in RIMS Kokyuroku, Proceedings of Inverse Problems 2023, Kyoto.

2024

  1. T. Furuya, M. Puthawala, M. Lassas, M. de Hoop: Can neural operators always be continuously discretized? Advances in Neural Information Processing Systems (NeurIPS) 2024.

2023

  1. T. Furuya, M. Puthawala, M. Lassas, M. de Hoop: Globally injective and bijective neural operators. Advances in Neural Information Processing Systems 36 (NeurIPS) 2023, 57713–57753.
  2. M. Lassas, T. Saksala: Distance difference representations of subsets of complete Riemannian manifolds, Spectral and Scattering Theory and Related Topics (Ed. T. Kakehi), RIMS Kokyuroku 2023 (2017), pp. 50–68.

2022

  1. M. Puthawala, M. Lassas, I. Dokmanic, M. de Hoop: Universal Joint Approximation of Manifolds and Densities by Simple Injective Flows. Proceedings of the 39th International Conference on Machine Learning (ICML), PMLR 162:17959-17983, (2022).

2021

  1. G. Alberti, E. De Vito, M. Lassas, L. Ratti, M. Santacesaria: Learning the optimal Tikhonov regularizer for inverse problems. Advances in Neural Information Processing Systems 34 (NeurIPS 2021).

2018

  1. C. Fefferman, S. Ivanov, Y. Kurylev, M. Lassas, H. Narayanan: Fitting a putative manifold to noisy data. 31st Annual Conference on Learning Theory (COLT2018). Proceedings of Machine Learning Research 75 (2018), 1-32.
  2. M. Lassas: Inverse problems for linear and non-linear hyperbolic equations. Proceedings of the International Congress of Mathematicians ICM 2018, Rio de Janeiro, Brazil. 2018, Vol III, pp. 3739–3760.

2017

  1. T. Bubba, M. Marz, Z. Purisha, M. Lassas, S. Siltanen: Shearlet–based regularization in sparse dynamic tomography. Wavelets and Sparsity XVII, Proceedings of SPIE Vol. 10394 (2017), 103940Y.
  2. V. Lyubopytov, T. von Lerber, M. Lassas, M. Malekizandi, A. Chipouline, F. Kueppers: Amplitude Noise Suppression and Orthogonal Multiplexing Using Injection–Locked Single–Mode VCSEL. Optical Fiber Communication Conference 2017, Optical Society of America, paper Tu3C.3.
  3. A. Chipouline, V. Lyubopytov, M. Malekizandi, T. von Lerber, M. Lassas, F. Kueppers: Injection–locked single–mode VCSEL for orthogonal multiplexing and amplitude noise suppression. Lasers and Electro–Optics Europe & European Quantum Electronics Conference, IEEE, Conference Publications, 2017, 8086943.

2015

  1. H. Isozaki, Y. Kurylev, M. Lassas: Inverse scattering on multi–dimensional asymptotically hyperbolic orbifolds. Spectral Theory and Partial Differential Equations (Eds. G. Eskin, L. Friedlander, J. Garnett). Contemporary Mathematics 640 (2015), pp. 71–86.
  2. G. Milton, M. Lassas: Invisibility cloaking. Encyclopedia of Applied and Computational Mathematics, B. Engquist (Ed.), 2015, Springer Verlag, pp. 751–758.

2014

  1. M. Lassas, L. Oksanen: Local reconstruction of a Riemannian manifold from a restriction of the hyperbolic Dirichlet-to-Neumann operator. In Inverse Problems and Applications, Eds. P. Stefanov, A. Vasy, M. Zworski, Contemporary Mathematics 615 (2014), 223–233.
  2. J. Sampo, J. Takalo, S. Siltanen, M. Lassas, J. Timonen, and A. Miettinen: Curvelet-based method for orientation estimation of particles. Proc. SPIE. 8858 (2014), Wavelets and Sparsity XV. 885825.
  3. M. Lassas, T. Zhou, Invisibility Cloaking: Singular partial differential operators and Pseudo-differential Boundary Conditions, Proceedings of Fourier Analysis and Pseudo-Differential Operators, the satellite conference of the 6th EMS conference, Birkhauser, 2014, 21 pp.
  4. H. Isozaki, Y. Kurylev, M. Lassas: Recent progress of inverse scattering theory on non-compact manifolds. In Inverse Problems and Applications, Eds. P. Stefanov, A. Vasy, M. Zworski, Contemporary Mathematics 615 (2014), 143–165.
  5. J. Takalo, J. Timonen, J. Sampo, M. Rantala, S. Siltanen, M. Lassas: Towards a "fingerprint" of paper network: separating forgeries from genuine by the properties of fibre structure Edited by D. Burgess, et al. Optics and Photonics for counterterrorism, crime fighting and defence. Proceedings of SPIE 9253 (2014), 92530A.

2013

  1. E. Niemi, M. Lassas, S. Siltanen: Dynamic X-ray tomography with multiple sources. Proceedings of 8th Int'l Symposium on Image and Signal Processing and Analysis. 2013. 4 pp.
  2. M. Lassas, S. Siltanen: Foreword: inverse problems in biology. Journal of Mathematical Biology 67 (2013), 1.
  3. K. Astala, M. Lassas, L. Paivarinta: The Calderon's Inverse problem – Imaging and Invisibility. In the book Inside out II (Ed. Gunther Uhlmann), Cambridge University press, 2013, pp. 1–54.
  4. M. Rantala, M. Lassas, J. Sampo, J. Takalo, J. Timonen, S. Siltanen: Modelling and analysing oriented fibrous structures. Edited by E. Vagenas and D. Vlachos. 2nd International conference on mathematical modelling in physical Sciences 2013. Journal of Physics Conference Series 290 (2014), UNSP 012089.

2012

  1. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Transformation Optics Based Cloaked Sensors. Proceedings of Metamaterials'2012: The 6th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics. Eds. S. Tretyakov, A. Schuchinsky, B. Bilotti, 2012, Metamorphose VI, 240–242.

2011

  1. M. Lassas, M. Salo, G. Uhlmann: Wave imaging. Handbook of Mathematical Methods in Imaging, O. Scherzer (Ed.), Springer-Verlag, 2011, 876–909.
  2. M. Lassas, L. Oksanen: The inverse problem for the wave equation and two acquisition geometries. Proceedings of Workshop on Inverse Problems, Data and Mathematical Statistics and Ecology (Eds: Kozlov et al), 2011, Linkoping University, pp. 43–50.

2010

  1. T. Helin, M. Lassas: On the stability of MAP estimation with hierarchical prior distributions. 8th International Conference of Numerical Analysis and Applied Mathematics, AIP Conf. Proc. 1281, 1807 (2010).

2008

  1. T. Helin, M. Lassas: Bayesian signal restoration and Mumford-Shah functional. Proc. Appl. Math. Mech. 7 (2008), 2080013–2080014. Special issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07).
  2. K. Knudsen, M. Lassas, J. Mueller, S. Siltanen: Reconstructions of Piecewise Constant Conductivities by the D-bar Method for Electrical Impedance Tomography. Journal of Physics: Conference Series 124 (2008), 012029 (9pp). Proceedings of AIP 2007 First International Congress of IPIA.
  3. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Inverse problems, invisibility, and artificial wormholes. Journal of Physics: Conference Series. 124 (2008), 012005 (23pp) Proceedings of AIP 2007 First International Congress of IPIA.

2007

  1. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Mathematics of invisibility. Journes quations aux drives partielles. 2007, 1–11.
  2. L. Paivarinta, M. Lassas, J. Shen: Inverse problems and imaging – two fields with shared goals and methods. Inverse Problems and Imaging 1 (2007), p. I–III.

2006

  1. H. Isozaki, Y. Kurylev, M. Lassas: Inverse Scattering for Waveguides. Seminaire de Theorie Spectrale et Geometrie, 25 (2006–2007), 71–84.
  2. V. Kolehmainen, M. Lassas, P. Ola: Calderón's inverse problem with an imperfectly known boundary in two and three dimensions, proceedings of Inverse Problems in Applied Sciences, Hokkaido 2006. Journal of Physics: Conference Series 73 (2007), 012002, 10 pp., Institute of Physics Electronic Journals.
  3. V. Kolehmainen, M. Lassas, P. Ola: Electrical impedance tomography problem with inaccurately known boundary and contact impedances. Biomedical Imaging: Nano to Macro, 2006. 3rd IEEE International Symposium (2006), pp. 1124–1127.

2005

  1. Y. Kurylev, M. Lassas: A dynamical inverse problem for Dirac equation. Seminar Notes of Mathematical Sciences 8 (2005), special issue on Topics related with mathematical physics and their analytical methods (Ed. Hideo Soga), 35–44, Ibaraki University, Japan.

2004

  1. M. Lassas, L. Paivarinta, E. Saksman: Inverse problem for a random potential. Contemporary Mathematics. 362 (2004) (Partial Differential Equations, Inverse Problems, and Non–Linear Analysis at Santiago de Chile 2003), 277–288, Amer. Math. Soc.
  2. Y. Kurylev, M. Lassas, E. Somersalo: Focusing waves in electromagnetic inverse problems. Proceedings of Inverse problems and spectral theory, Contemporary Mathematics 348 (2004), 11–22.

2003

  1. A. Katchalov, M. Lassas: Gaussian beams and inverse boundary spectral problems. New analytic and geometric methods in inverse problems (Ed. K. Bingham, Y. Kurylev, and E. Somersalo), Springer-Verlag, 2003, 127–151.
  2. A. Katsuda, Y. Kurylev, M. Lassas: Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem. New analytic and geometric methods in inverse problems (Ed. K. Bingham, Y. Kurylev, and E. Somersalo), Springer-Verlag, 2003, 309–320.
  3. Y. Kurylev, M. Lassas, E. Somersalo: Reconstruction of a manifold from electromagnetic boundary measurements. Proceedings of INdAM Workshop on Inverse Problems and Applications, Contemporary Mathematics 333 (2003), 147–162.
  4. A. Katchalov, Y. Kurylev, M. Lassas: Energy measurements and equivalence of boundary data for inverse problems on non-compact manifolds. Proceedings of Geometric Methods in Inverse Problems and PDE Control. Ed. C. Croke, I. Lasiecka, G. Uhlmann, M. Vogelius, IMA Volumes on Mathematics and Applications 137, Springer-Verlag, 2003, 183–214.
  5. A. Greenleaf, M. Lassas, G. Uhlmann: Anisotropic conductivities that cannot be detected by EIT, Special Issue on Electrical Impedance Tomography, Physiological Measurement 24 (2003), no. 2, 413–420.

2002

  1. M. Cheney, D. Isaacson, M. Lassas: Optimal Acoustic Measurements, Ultrawideband Short-Pulse Electromagnetics 5. Ed. P.D. Smith and S.R. Cloude, Springer-Verlag, 2002, 599–603.

Non-refereed conference proceedings

2000

  1. Y. Kurylev, M. Lassas: Hyperbolic inverse problem with data on a part of the boundary. Differential equations and mathematical physics (Birmingham, AL, 1999) Ed. R. Weikard, G. Weinstein Studies in Advanced Mathematics 16 (2000), 259–272, Amer. Math. Soc.

Patents

  1. US Patent US11163210B2 - Arithmetic-logical unit with synchronized laser(s). T. von Lerber, M. Lassas, F. Kueppers, K. Hofmann. November 2, 2021. Patent.
  2. US Patent US20130096425A1 - System and method for data reconstruction in soft-field tomography. K. Uutela, M. Lassas, P. Ola, S. Siltanen, V. Kolehmainen, A. Ross. August 24, 2017. Also published as CN 103099616 B. Patent.
  3. US Patent US-7269241-B2 - Method and arrangement for medical x-ray imaging and reconstruction from sparse data. S. Siltanen, E. Somersalo, V. Kolehmainen, M. Lassas, J. Kaipio. September 11, 2007. Also published as WO2004019782, AU2003255550, FI116750B, DE10393159T. Patent.
  4. US Patent US20060146983A1 - Method and arrangement for multiresolutive reconstruction for medical x-ray imaging. M. Kalke, S. Siltanen, S. Vanska, M. Lassas, M. Rantala. May 8, 2007. Also published as EP1677256, JP2006187608. Patent.
  5. US Patent US7274766B2 - Method and arrangement for three–dimensional medical x-ray imaging. J. Kaipio, S. Siltanen, M. Kalke, V. Kolehmainen, M. Lassas. Sep. 25, 2007. Also published as EP1677255, JP2006187607. Patent.

Other works

  1. M. Lassas: From a coffee cup to surgery – studying applications of mathematics (In Finnish), Arkhimedes 5 (2004), 20–24.
  2. M. Lassas, R. Lehtinen, J. Saramaki and S. Siltanen (eds.): Who needs mathematics? (In Finnish), Booklet popularizing mathematics for high-school students, three printings 1997–1999, each 60 000 copies, 52 pp.
  3. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Invisibility. In Current Events Bulletin of American Mathematical Society, January 8, 2008 (San Diego, California), 22 pp.

Matti Lassas <Matti.Lassasathelsinki.fi>