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1. Full Text Corrigendum: Inverse problems for the perturbed polyharmonic operator with coefficients in Sobolev spaces with non-positive order (2016 Inverse Problems 32 105009)
by Assylbekov, Yernat M
Inverse Problems, ISSN 0266-5611, 09/2017, Volume 33, Issue 9, p. 99501
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2. Full Text Sharp stability estimate for the geodesic ray transform
by Assylbekov, Yernat and Stefanov, Plamen
Inverse Problems, ISSN 0266-5611, 08/2019
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3. Full Text Inverse problems for the perturbed polyharmonic operator with coefficients in Sobolev spaces with non-positive order
by Assylbekov, Yernat M
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
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4. Full Text Context Vectors Are Reflections of Word Vectors in Half the Dimensions
by Assylbekov, Z and Takhanov, R
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
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5. Full Text Inverse problems for the perturbed polyharmonic operator with coefficients in Sobolev spaces with non-positive order (vol 32, 105009, 2016)
by Assylbekov, YM
INVERSE PROBLEMS, ISSN 0266-5611, 09/2017, Volume 33, Issue 9
MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL
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6. Reconstruction in the partial data calderón problem on admissible manifolds
by Assylbekov, Yernat M
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
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7. Full Text The Attenuated Geodesic Ray Transform on Tensors: Generic Injectivity and Stability
by Assylbekov, Yernat M
Journal of Geometric Analysis, ISSN 1050-6926, 2019
Integral geometry | Tensors | Inverse problems | Attenuated geodesic ray transform
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8. DETERMINING ROUGH FIRST ORDER PERTURBATIONS OF THE POLYHARMONIC OPERATOR
by Assylbekov, Y and Iyer, K
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
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9. Full Text The X-ray Transform on a General Family of Curves on Finsler Surfaces
by Assylbekov, Yernat M and Dairbekov, Nurlan S
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
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10. Full Text Determining the first order perturbation of a polyharmonic operator on admissible manifolds
by Assylbekov, Yernat M and Yang, Yang
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
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11. Full Text Inversion formulas and range characterizations for the attenuated geodesic ray transform
by Assylbekov, Yernat M and Monard, François and Uhlmann, Gunther
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
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12. Full Text CTHRC1: A New Candidate Biomarker for Improved Rheumatoid Arthritis Diagnosis
by Myngbay, A and Bexeitov, Y and Adilbayeva, A and Assylbekov, Z and Yevstratenko, BP and Aitzhanova, RM and Matkarimov, B and Adarichev, VA and Kunz, J
FRONTIERS IN IMMUNOLOGY, ISSN 1664-3224, 06/2019, Volume 10, p. 1353
Background: The purpose of this study was to determine whether plasma levels of the collagen triple helix repeat containing 1 (CTHRC1) protein can serve as a... 
AUTOANTIBODIES | PATHWAYS | CELLS | ANTIBODY | LOCI | IMMUNOLOGY | biomarker | rheumatoid arthritis | collagen triple helix repeat containing 1 | rheumatoid factor (RF) | disease activity score DAS28 | anti-citrullinated protein antibodies (ACPA) | INHIBITION | GENE | CHROMOSOME-15 | CTHRC1 | Rheumatoid factor | C-reactive protein | Osteoarthritis | Collagen | Diagnosis | Research | Biological markers | Rheumatoid arthritis
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13. Full Text Hopf type rigidity for thermostats
by Assylbekov, Yernat M and Dairbekov, Nurlan S
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
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14. Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6 x 10(20) protons on target
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
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15. Full Text Patterns Versus Characters in Subword-Aware Neural Language Modeling
by Takhanov, Rustem and Assylbekov, Zhenisbek
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
Deep learning | Subword-aware language modeling | Pattern-based conditional random field | Word representation
Conference Proceeding
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16. Full Text Simple and accurate method for parallel web pages detection
by Jangeldin, Alibi and Assylbekov, Zhenisbek
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
Parallel corpora | Document alignment | Structural similarity | STRAND | Unsupervised learning
Conference Proceeding
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17. Full Text Invariant distributions and tensor tomography for Gaussian thermostats
by Assylbekov, Yernat M and Zhou, Hanming
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
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18. Full Text An Inverse Radiative Transfer in Refractive Media Equipped with a Magnetic Field
by Assylbekov, Yernat M and Assylbekov, Yernat M and Yang, Yang and Yang, Yang
The Journal of Geometric Analysis, ISSN 1050-6926, 10/2015, Volume 25, Issue 4, pp. 2148 - 2184
We study the reconstruction of the attenuation and absorption coefficients in a stationary linear transport equation from knowledge of the albedo operator in... 
Albedo operator | 58J32 | Scattering | Mathematics | 35Q20 | Abstract Harmonic Analysis | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Attenuation | Stationary linear transport equation | Differential Geometry | Dynamical Systems and Ergodic Theory | 46N20 | Magnetic field | MATHEMATICS | OPTICAL TOMOGRAPHY | EQUATIONS | INDEX | STATIONARY TRANSPORT | SURFACES | Magnetic fields
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19. Full Text Convergence rate of multinomial goodness-of-fit statistics to chi-square distribution
by Zhenisbek, Assylbekov
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
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20. Boundary and scattering rigidity problems in the presence of a magnetic field and a potential
by Assylbekov, Yernat M and Zhou, Hanming
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
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