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Nonlinearity, ISSN 0951-7715, 03/2016, Volume 29, Issue 5, pp. 1507 - 1536
.... We prove the uniqueness and non-degeneracy of minimizers in a weakly anisotropic medium. In addition, for a wide range of anisotropic media, we derive the symmetry... 
Choquard-Pekar | linearized operator | polaron | non-degeneracy | EXISTENCE | MATHEMATICS, APPLIED | STATES | SYMMETRY | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | PHYSICS, MATHEMATICAL | Kernels | Operators | Anisotropy | Mathematical analysis | Uniqueness | Translations | Symmetry | Polarons | Mathematical Physics | Analysis of PDEs | Mathematics
Journal Article
ACM Transactions on Algorithms (TALG), ISSN 1549-6325, 12/2012, Volume 9, Issue 1, pp. 1 - 23
...Polynomial Kernels for Dominating Set in Graphs of Bounded Degeneracy and Beyond GEEVARGHESE PHILIP and VENKATESH RAMAN, The Institute of Mathematical Sciences... 
Degenerate graphs | dominating set | fixed parameter tractability | kernelization | PARAMETERIZED ALGORITHMS | MATHEMATICS, APPLIED | Theory | GENUS | SIZE | EXPONENTIAL SPEED-UP | Algorithms | TIME ALGORITHMS | COMPUTER SCIENCE, THEORY & METHODS | FPT ALGORITHMS | Integers | Kernels | Graphs | Construction | Polynomials
Journal Article
Memoirs of the American Mathematical Society, ISSN 0065-9266, 05/2012, Volume 217, Issue 1019, pp. 1 - 90
This paper deals with elliptic equations in the plane with degeneracies. The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve... 
Kernels | Degenerate elliptic | Spectral values | CR equations | Asymptotic behavior | Semilinear | Vector fields | Normalization | Fundamental matrix | fundamental matrix | semilinear | vector fields | VECTOR-FIELDS | CAUCHY-RIEMANN SYSTEM | MATHEMATICS | spectral values | asymptotic behavior | degenerate elliptic | normalization | SINGULARITY | kernels
Journal Article
Journal of Econometrics, ISSN 0304-4076, 01/2017, Volume 196, Issue 1, pp. 180 - 195
.... The reason for this breakdown is a kernel-induced degeneracy in the weighted signal matrix associated with the nonstationary regressors, a new phenomenon in the kernel regression literature... 
Kernel degeneracy | Super-consistency | Endogeneity | Cointegration | Time varying coefficients | Nonparametric regression | REGRESSION | ASYMPTOTIC THEORY | INTEGRATED TIME-SERIES | STATISTICAL-INFERENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | VARYING COEFFICIENT MODELS | SYSTEMS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Studies | Nonlinear equations | Estimating techniques | Cointegration analysis | Approximations
Journal Article
Journal of Statistical Planning and Inference, ISSN 0378-3758, 03/2016, Volume 170, pp. 117 - 128
We study pathwise invariances and degeneracies of random fields with motivating applications in Gaussian process modelling... 
Structural priors | RKHS | Covariance kernels | Linear operators | RATES | STATISTICS & PROBABILITY | KERNELS | Models | Gaussian processes | Modeling and Simulation | Computer Science
Journal Article
Journal of Econometrics, ISSN 0304-4076, 04/2020, Volume 215, Issue 2, pp. 607 - 632
Journal Article
Physical Review D (Particles, Fields, Gravitation and Cosmology), ISSN 1550-7998, 04/2015, Volume 91, Issue 8
.... We take advantage of this to explore the degeneracies between gravitational parameters in weak lensing observations. 
Kernels | Gravitation | Separation | Integrals | Relativity | Cosmology | Convergence
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 10/2008, Volume 56, Issue 10, pp. 5001 - 5012
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 2009, Volume 59, Issue 3, pp. 656 - 670
The method of normal spline-collocation (NSC), applicable to a wide class of ordinary linear singular differential and integral equations, is specified for the... 
Reproducing kernel | Hilbert–Sobolev space | Equations on the semi-axis | Differential-algebraic equations | Variable degeneracy | Normal splines | Hilbert-Sobolev space | MATHEMATICS, APPLIED | PARAMETERIZATION METHOD | Methods | Algorithms
Journal Article
2009, ISBN 0521791928, xiii, 349
Machine learning methods originated from artificial intelligence and are now used in various fields in environmental sciences today. This is the first... 
Kernel functions | Environmental sciences | Neural networks (Computer science) | Machine learning
Book
by Gutin, G and Jones, M and Yeo, A
Theoretical computer science, ISSN 0304-3975, 2011, Volume 412, Issue 41, pp. 5744 - 5751
.... The second parameterization is W[1]-complete, but the introduction of an additional parameter, the degeneracy of the hypergraph H = ( V , F... 
Hypergraph | Hitting set | Parameterized problems | Fixed-parameter tractable | Kernel | COMPUTER SCIENCE, THEORY & METHODS | SMALL TRANSVERSALS | Integers | Kernels | Parametrization | Upper bounds | Collection | Grounds | Graphs | Graph theory
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2014, Volume 461, pp. 271 - 317
.... We address two problems. 1° In the presence of degeneracy, it is not possible to reproduce function values as inner products with a kernel function in the usual way... 
Reproducing kernel | Degenerate inner product | Indefinite inner product | Completion | Almost Pontryagin space | MATHEMATICS | MATHEMATICS, APPLIED | DIRICHLET SPACE | KREIN SPACES | OPERATORS
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 10/2019, Volume 58, Issue 5, pp. 1 - 31
Journal Article
Europhysics letters, ISSN 1286-4854, 2015, Volume 112, Issue 6, pp. 60001 - 60001
The ground-state properties of N spinless free fermions in a d-dimensional confining potential are studied. We find that any n-point correlation function has a... 
DISTRIBUTIONS | DENSITY | MATRIX | PHYSICS, MULTIDISCIPLINARY | EDGE | Kernels | Correlation | Fermions | Mathematical analysis | Mathematical models | Matrix theory | Confining | Density | Mathematical Physics | Physics
Journal Article
IEEE transactions on signal processing, ISSN 1941-0476, 2019, Volume 67, Issue 9, pp. 2499 - 2512
Journal Article
Sensors (Basel, Switzerland), ISSN 1424-8220, 05/2019, Volume 19, Issue 10, p. 2290
Under realistic environmental conditions, heuristic-based data association and map management routines often result in divergent map and trajectory estimates... 
Electrical engineering | Routines | Automation | Tracking | Random sampling | Computer simulation | Heuristic methods | Mapping | Associations | Ground truth | Noise control | Robotics | Vehicles | Kernels | Multiple target tracking | Algorithms | Data sets | Parallel processing | International conferences | Sensors | Localization | Trajectory analysis | Kalman filters | Robots | robotics | SLAM | random finite sets | tracking
Journal Article
The journal of high energy physics, ISSN 1029-8479, 2018, Volume 2018, Issue 11, pp. 1 - 62
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 09/2017, Volume 369, Issue 9, pp. 6263 - 6278
Brownian motion by a random walk in the setting of a sub-Riemannian manifold M. To construct such a random walk we first address several issues related to the degeneracy of such a... 
Brownian motion | Hypoelliptic operator | Sub-Riemannian manifold | Random walk | hypoelliptic operator | MATHEMATICS | random walk | HEISENBERG-GROUP | INEQUALITIES | sub-Riemannian manifold | HEAT KERNEL
Journal Article