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Inverse Problems, ISSN 0266-5611, 09/2017, Volume 33, Issue 9, p. 99501
Journal Article
Inverse Problems, ISSN 0266-5611, 08/2019
Journal Article
Inverse Problems, ISSN 0266-5611, 09/2016, Volume 32, Issue 10, p. 105009
We show that the knowledge of the Dirichlet-to-Neumann map on the boundary of a bounded open set in R-n, n >= 3, for the perturbed polyharmonic operator... 
Dirichlet-to-Neumann map | polyharmonic operators | inverse problems | MATHEMATICS, APPLIED | BOUNDARY-VALUE PROBLEM | THEOREM | GLOBAL UNIQUENESS | LIPSCHITZ CONDUCTIVITIES | POTENTIALS | CALDERON PROBLEM | PHYSICS, MATHEMATICAL | Mathematics - Analysis of PDEs
Journal Article
JOURNAL OF ARTIFICIAL INTELLIGENCE RESEARCH, ISSN 1076-9757, 2019, Volume 66, pp. 225 - 242
This paper takes a step towards the theoretical analysis of the relationship between word embeddings and context embeddings in models such as word2vec. We... 
COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Inverse Problems and Imaging, ISSN 1930-8337, 06/2017, Volume 11, Issue 3, pp. 455 - 476
We consider the problem of developing a method to reconstruct a potential q from the partial data Dirichlet-to-Neumann map for the Schrodinger equation... 
Dirichlet-to-Neumann map | Inverse problems | Calderón’s problem | MATHEMATICS, APPLIED | Calderon's problem | BOUNDARY MEASUREMENTS | INVERSION FORMULAS | CAUCHY DATA | PHYSICS, MATHEMATICAL | RAY TRANSFORM | UNIQUENESS
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 2019
Journal Article
INVERSE PROBLEMS AND IMAGING, ISSN 1930-8337, 10/2019, Volume 13, Issue 5, pp. 1045 - 1066
We show that the knowledge of Dirichlet to Neumann map for rough A and q in (-Delta)(m) + A.D + q for m >= 2 for a bounded domain in R-n, n >= 3 determines A... 
MATHEMATICS, APPLIED | uniqueness | inverse problems | GLOBAL UNIQUENESS | CALDERON PROBLEM | PHYSICS, MATHEMATICAL | Polyharmonic | perturbations
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 04/2018, Volume 28, Issue 2, pp. 1428 - 1455
For a compact oriented Finsler surface with smooth boundary, we consider the scalar and vector integral geometry problems over a general family of curves... 
Integral geometry | Finsler geometry | Anosov flow | Thermostats | General family of curves | X-ray transform | MATHEMATICS | RIGIDITY
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2017, Volume 262, Issue 1, pp. 590 - 614
We consider the inverse boundary value problem for the first order perturbation of the polyharmonic operator , with being a vector field and being an function... 
MATHEMATICS | MAGNETIC-FIELD | BOUNDARY-VALUE PROBLEM | UNIQUENESS
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 03/2018, Volume 111, pp. 161 - 190
We present two range characterizations for the attenuated geodesic X-ray transform defined on pairs of functions and 1-forms on simple surfaces. Such... 
Radon transform | Attenuated X-ray transform | Inverse problems | Reconstruction formulas | Range characterization | X-ray transform | MATHEMATICS, APPLIED | DOPPLER TRANSFORM | VECTOR-FIELDS | MATHEMATICS | SIMPLE SURFACES | RADON-TRANSFORM | MAGNETIC-FIELD
Journal Article
FRONTIERS IN IMMUNOLOGY, ISSN 1664-3224, 06/2019, Volume 10, p. 1353
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 04/2013, Volume 34, Issue 6, pp. 1761 - 1769
We study the motion of a particle on a Riemannian 2-torus under the influence of a magnetic field and a Gaussian thermostat. We prove a Hopf type rigidity for... 
NONEQUILIBRIUM STATISTICAL-MECHANICS | MATHEMATICS | EQUATIONS | PERIODIC-SOLUTIONS | MATHEMATICS, APPLIED | Magnetic fields | Dynamical systems | Mathematics | Conjugate points | Gaussian | Rigidity | Thermostats | Ergodic processes
Journal Article
by Abe, K and Adam, J and Aihara, H and Akiri, T and Andreopoulos, C and Aoki, S and Ariga, A and Assylbekov, S and Autiero, D and Barbi, M and Barker, GJ and Barr, G and Bartet-Friburg, P and Bass, M and Batkiewicz, M and Bay, F and Berardi, V and Berger, BE and Berkman, S and Bhadra, S and Blaszczyk, FDM and Blondel, A and Bolognesi, S and Bordoni, S and Boyd, SB and Brailsford, D and Bravar, A and Bronner, C and Buchanan, N and Calland, RG and Rodriguez, JC and Cartwright, SL and Castillo, R and Catanesi, MG and Cervera, A and Cherdack, D and Chikuma, N and Christodoulou, G and Clifton, A and Coleman, J and Coleman, SJ and Collazuol, G and Connolly, K and Cremonesi, L and Dabrowska, A and Danko, I and Das, R and Davis, S and de Perio, P and De Rosa, G and Dealtry, T and Dennis, SR and Densham, C and Dewhurst, D and Di Lodovico, F and Di Luise, S and Dolan, S and Drapier, O and Duboyski, T and Duffy, K and Dumarchez, J and Dytman, S and Dziewiecki, M and Emery-Schrenk, S and Ereditato, A and Escudero, L and Ferchichi, C and Feusels, T and Finch, AJ and Fiorentini, GA and Friend, M and Fujii, Y and Fukuda, Y and Furmanski, AP and Galymov, V and Garcia, A and Giffin, S and Giganti, C and Gilje, K and Goeldi, D and Golan, T and Gonin, M and Grant, N and Gudin, D and Hadley, DR and Haegel, L and Haesler, A and Haigh, MD and Hamilton, P and Hansen, D and Hara, T and Hartz, M and Hasegawa, T and Hastings, NC and Hayashino, T and Hayato, Y and Hearty, C and Helmer, RL and Hierholzer, M and Hignight, J and ... and T2K Collaboration
PHYSICAL REVIEW D, ISSN 2470-0010, 04/2015, Volume 91, Issue 7
We report on measurements of neutrino oscillation using data from the T2K long-baseline neutrino experiment collected between 2010 and 2013. In an analysis of... 
QUASI-ELASTIC SCATTERING | RESONANCE REGION | TOTAL CROSS-SECTIONS | CHARGE-EXCHANGE | ASTRONOMY & ASTROPHYSICS | HIGH-ENERGY-PHYSICS | TRUE ABSORPTION | NUCLEUS SCATTERING | SUPER-KAMIOKANDE | DELTA-RESONANCE | PION ABSORPTION | PHYSICS, PARTICLES & FIELDS
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2017, Volume 10635, pp. 157 - 166
Conference Proceeding
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2017, Volume 10191, pp. 238 - 247
Conference Proceeding
Communications in Analysis and Geometry, ISSN 1019-8385, 2017, Volume 25, Issue 5, pp. 895 - 926
In this paper we consider the Gaussian thermostat ray transforms on both closed Riemannian surfaces and compact Riemannian surfaces with boundary. We establish... 
NONEQUILIBRIUM STATISTICAL-MECHANICS | MATHEMATICS | SPECTRAL RIGIDITY | X-RAY TRANSFORM | DEFORMATION BOUNDARY RIGIDITY | ENTROPY PRODUCTION | INTEGRAL GEOMETRY | MAGNETIC-FIELD | MANIFOLDS | FLOWS | RIEMANNIAN SURFACES
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 10/2015, Volume 25, Issue 4, pp. 2148 - 2184
Journal Article
Hiroshima Mathematical Journal, ISSN 0018-2079, 03/2010, Volume 40, Issue 1, pp. 115 - 131
Let Y = (Y-1, Y-2,..., Y-k)' be a random vector with multinomial distribution. In this paper we investigate the convergence rate of so-called power divergence... 
Powerdivergence statistics | Approximation | Krätzel-Nowak theorem | Chi-square distribution | MATHEMATICS | chi-square distribution | Kratzel-Nowak theorem | power-divergence statistics | 52A20 | 62E20 | 62H10
Journal Article
Inverse Problems and Imaging, ISSN 1930-8337, 11/2015, Volume 9, Issue 4, pp. 935 - 950
In this paper, we consider a compact Riemannian manifold with boundary, endowed with a magnetic potential a and a potential U. For brevity, this type of... 
Gauge invariance | Action | Potential | Magnetic field | Boundary rigidity | MATHEMATICS, APPLIED | magnetic field | DISTANCE | X-RAY TRANSFORM | STABILITY | CLASSICAL MECHANICS | action | PHYSICS, MATHEMATICAL | potential | gauge invariance
Journal Article
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