Refine
Year of publication
- 2022 (29)
- 2021 (38)
- 2020 (73)
- 2019 (44)
- 2018 (48)
- 2017 (43)
- 2016 (48)
- 2015 (39)
- 2014 (33)
- 2013 (36)
- 2012 (28)
- 2011 (29)
- 2010 (19)
- 2009 (27)
- 2008 (1)
- 2007 (3)
- 2006 (19)
- 2005 (34)
- 2004 (29)
- 2003 (18)
- 2002 (10)
- 2001 (21)
- 2000 (32)
- 1999 (53)
- 1998 (48)
- 1997 (46)
- 1996 (30)
- 1995 (40)
- 1994 (21)
- 1993 (3)
- 1992 (3)
- 1991 (3)
Document Type
- Article (948) (remove)
Language
- English (948) (remove)
Keywords
- random point processes (18)
- statistical mechanics (18)
- stochastic analysis (18)
- data assimilation (8)
- Bayesian inference (5)
- discrepancy principle (5)
- ensemble Kalman filter (5)
- linear term (5)
- Data assimilation (4)
- Earthquake interaction (4)
- Elliptic complexes (4)
- Fredholm property (4)
- Geomagnetic field (4)
- Neumann problem (4)
- Pseudo-differential operators (4)
- Statistical seismology (4)
- clone (4)
- linear hypersubstitution (4)
- optimal transport (4)
- partial clone (4)
- Bayesian inverse problems (3)
- Bayesian inversion (3)
- Cauchy problem (3)
- Dyson-Schwinger equations (3)
- Hodge theory (3)
- Navier-Stokes equations (3)
- Probabilistic forecasting (3)
- Transformation semigroups (3)
- equi-singular connections (3)
- forecasting (3)
- gradient flow (3)
- graphs (3)
- index (3)
- multiplicative noise (3)
- regularization (3)
- relative rank (3)
- stochastic differential equations (3)
- transformations (3)
- uncertainty quantification (3)
- Aerosols (2)
- Arctic haze (2)
- Asymptotics of solutions (2)
- Boolean model (2)
- DLR equations (2)
- Dirac operator (2)
- Dirichlet form (2)
- Dirichlet to Neumann operator (2)
- Edge calculus (2)
- Ellipticity of corner-degenerate operators (2)
- Ensemble Kalman filter (2)
- Fokker-Planck equation (2)
- Fredholm complexes (2)
- Gamma-convergence (2)
- Gibbs point process (2)
- Graphs (2)
- Iran (2)
- Kalman filter (2)
- Laplacian (2)
- Left-ordered groups (2)
- Levenberg-Marquardt method (2)
- Lidar (2)
- MCMC (2)
- Maximal subsemigroups (2)
- Maximum expected earthquake magnitude (2)
- Mellin symbols with values in the edge calculus (2)
- Meromorphic operator-valued symbols (2)
- Model order reduction (2)
- Multiple zeta values (2)
- Onsager-Machlup functional (2)
- Order-preserving transformations (2)
- Picard-Fuchs equations (2)
- Poincare inequality (2)
- Quasilinear equations (2)
- Removable sets (2)
- Royden boundary (2)
- Schrodinger operators (2)
- Scientific discovery learning (2)
- Seismicity and tectonics (2)
- Specific entropy (2)
- Time series (2)
- Toeplitz operators (2)
- Uncertainty quantification (2)
- WKB-expansion (2)
- Wavelet transform (2)
- Yamabe operator (2)
- Zaremba problem (2)
- adaptive estimation (2)
- alpha-stable Levy process (2)
- and prediction (2)
- asymptotic behavior (2)
- boundary value problems (2)
- classical solution (2)
- cluster expansion (2)
- cohomology (2)
- confidence sets (2)
- counterterms (2)
- de Rham complex (2)
- early stopping (2)
- estimation (2)
- filter (2)
- formula (2)
- generators (2)
- ground state (2)
- heterogeneity (2)
- hyperbolic tilings (2)
- inflammatory bowel disease (2)
- isotopic tiling theory (2)
- iterative regularization (2)
- linear formula (2)
- linear tree language (2)
- localization (2)
- logarithmic source condition (2)
- maximal subsemigroups (2)
- maximum a posteriori (2)
- methods (2)
- minimax convergence rates (2)
- models (2)
- nonlinear filtering (2)
- nonlinear operator (2)
- operator-valued symbols (2)
- orbifolds (2)
- particle filter (2)
- point process (2)
- positive solutions (2)
- prediction (2)
- reciprocal class (2)
- renormalization Hopf algebra (2)
- reproducing kernel Hilbert space (2)
- restricted range (2)
- sequential data assimilation (2)
- statistical seismology (2)
- term (2)
- transfer operator (2)
- transition path theory (2)
- (2+1)-dimensional gravity (1)
- (generalised) wealdy differentiable function (1)
- 26D15 (1)
- 31A25 (1)
- 31C20 (1)
- 35B09 (1)
- 35J70 (1)
- 35K65 (1)
- 35R02 (1)
- 39A12 (primary) (1)
- 47A52 (1)
- 47G30 (1)
- 58E35 (secondary) (1)
- 58J40 (1)
- 65F18 (1)
- 65R20 (1)
- 65R32 (1)
- 78A46 (1)
- AERONET (1)
- AFM (1)
- ALOS-2 PALSAR-2 (1)
- AMS (1)
- APC concentration gradient (1)
- Achievement goal orientation (1)
- Al-26 (1)
- Algebraic Birkhoff factorisation (1)
- Algorithmic (1)
- Aluminium (1)
- Analytic extension (1)
- Angiogenesis (1)
- Angular derivatives (1)
- Animal movement modeling (1)
- Anisotropic pseudo-differential operators (1)
- Approximate approximations (1)
- Arctic (1)
- Arnoldi process (1)
- Artof (1)
- Assimilation (1)
- Asymptotic variance of maximum partial likelihood estimate (1)
- Atiyah-Bott obstruction (1)
- Atmosphere (1)
- Automotive (1)
- Averaging principle (1)
- BTZ black hole (1)
- Banach-valued process (1)
- Bayesian (1)
- Bayesian method (1)
- Beltrami equation (1)
- Bernstein inequality (1)
- Biodiversity (1)
- Birkhoff theorem (1)
- Birth-and-death process (1)
- Bisectorial operator (1)
- Bivariant K-theory (1)
- Blended learning (1)
- Blood coagulation network (1)
- Boundary value method (1)
- Boundary value methods (1)
- Boundary value problem (1)
- Boundary value problems (1)
- Boutet de Monvel's calculus (1)
- Brownian motion with discontinuous drift (1)
- Broyden's method (1)
- Bruck-Reilly extension (1)
- CFD (1)
- CHAMP satellite (1)
- COVID-19 (1)
- CRPS (1)
- Caccioppoli inequality (1)
- Calculation (1)
- Canonical (Marcus) SDE (1)
- Cartan's development (1)
- Cartesian product of varifolds (1)
- Cauchy data spaces (1)
- Cell-level kinetics (1)
- Central extensions of groups (1)
- Chamseddine-Connes spectral action (1)
- Characteristic polynomial (1)
- Cheeger inequalities (1)
- Cheeger inequality (1)
- Chicken chorioallantoic membrane (CAM) (1)
- Classification (1)
- Clearance induction (1)
- Collapse (1)
- Commutative geometries (1)
- Complete asymptotics (1)
- Composition operators (1)
- Compound Poisson processes (1)
- Computer simulations (1)
- Conceptual change (1)
- Condition number (1)
- Cone (1)
- Cone and edge pseudo-differential operators (1)
- Confidence intervals (1)
- Conical zeta values (1)
- Connectivity (1)
- Connes-Kreimer Hopf algebra (1)
- Conradian left-order (1)
- Constant scalar curvature (1)
- Continuum (1)
- Continuum random cluster model (1)
- Control theory (1)
- Convergence rates (1)
- Convex cones (1)
- Core (1)
- Core dynamics (1)
- Core field (1)
- Corner pseudo-differential operators (1)
- Correlation based modelling (1)
- Counting process (1)
- Cox model (1)
- Critical mathematics education (1)
- Critique (1)
- Curvature varifold (1)
- C‐ reactive protein remission (1)
- DFN (1)
- DLR equation (1)
- DMSP (1)
- Daily gravity field (1)
- Data-driven modelling (1)
- De Rham complex (1)
- Decay of eigenfunctions (1)
- Decorated cones (1)
- Definitions (1)
- Delaney--Dress (1)
- Dependent thinning (1)
- Derivation (1)
- Detailed balance (1)
- Determinant (1)
- Deterministic finite state automata (1)
- Diagrams (1)
- Dickkopf diffusion and feedback regulation (1)
- Differential invariant (1)
- Digital technology (1)
- Direct method (1)
- Dirichlet mixture (1)
- Dirichlet problem (1)
- Dirichlet-form (1)
- Disagreement percolation (1)
- Discontinuous Robin condition (1)
- Discrete Dirichlet forms (1)
- Discrete-element method (1)
- Dispositional learning analytics (1)
- Distributed Learning (1)
- Dobrushin criterion; (1)
- Duality formula (1)
- DySEM (1)
- Dynamical systems (1)
- Dynamo (1)
- Dynamo: theories and simulations (1)
- E-band (1)
- EGFR (1)
- Earth rotation (1)
- Earth's magnetic field (1)
- Earthquake dynamics (1)
- Ecosystem (1)
- Edge and corner pseudo-differential operators (1)
- Edge degenerate operators (1)
- Edge symbols (1)
- Efficient solutions (1)
- Effort (1)
- Eigenvalue problem (1)
- Eigenvalues (1)
- Einstein space (1)
- Einstein-Hilbert action (1)
- Electromagnetic induction (1)
- Electron spectroscopy (1)
- Elliptic boundary (1)
- Ellipticity and parametrices (1)
- Ellipticity of edge-degenerate operators (1)
- Endothelin (ET) (1)
- Energy resolution (1)
- Ensemble Kalman (1)
- Ensemble Kalman Filter (1)
- Environmental DNA (1)
- Equivalence (1)
- Error analysis (1)
- Error control/adaptivity (1)
- Error covariance (1)
- Essential spectrum (1)
- Estimability (1)
- Euclidean fields (1)
- Euler-Lagrange equations (1)
- Exact solution (1)
- Exponential decay of pair correlation (1)
- Extensive transformation (1)
- FIB patterning (1)
- False discovery rate (1)
- Fast win (1)
- Fault slip (1)
- Fence (1)
- Fermi golden rule (1)
- Finite difference method (1)
- Finite energy sections (1)
- Finite transformation semigroup (1)
- Finsler distance (1)
- First exit location (1)
- First exit time (1)
- First order PDE (1)
- First passage time (1)
- First variation (1)
- Fluvial (1)
- Foliated spaces (1)
- Force splitting (1)
- Forecasting and prediction (1)
- Formative assessment (1)
- Fortuin-Kasteleyn representation (1)
- Foucault (1)
- Fourier and Mellin transform (1)
- Fourier and Mellin transforms (1)
- Fourier transform (1)
- Fourier-Laplace transform (1)
- Fourth order Sturm-Liouville problem (1)
- Fractal (1)
- Fractions with linear poles (1)
- Fredholm alternative (1)
- Fredholm operator (1)
- Freidlin-Wentzell theory (1)
- Full rank matrix filters (1)
- Functional calculus (1)
- Future time interval (1)
- Fuzzy logic (1)
- G-Wishart distribution (1)
- GPS (1)
- GRACE (1)
- Gauss-Bonnet-Chern (1)
- Gaussian graphical models (1)
- Gaussian kernel estimators (1)
- Gaussian mixtures (1)
- Gaussian process (1)
- Gaussian sequence model (1)
- Gender (1)
- Generalised mean curvature vector (1)
- Generalized hybrid Monte Carlo (1)
- Geodetic measurements (1)
- Geodynamo (1)
- Geomagnetic jerks (1)
- Geomagnetic models (1)
- Geomagnetic secular variation (1)
- Geomagnetic storm (1)
- Geomagnetism (1)
- Geometry (1)
- Geopotential theory (1)
- Gestagenic drug (1)
- Gestures (1)
- Gibbs processes (1)
- Gigli-Mantegazza flow (1)
- Girsanov formula (1)
- Global attractor (1)
- Global sensitivity analysis (1)
- Globally hyperbolic Lorentz manifold (1)
- Goal specificity (1)
- Goursat problem (1)
- Granular matter (1)
- Graph Laplacians (1)
- Gravity anomalies and Earth structure (1)
- Greatest harmonic minorant (1)
- Green's function (1)
- Green´s Relations (1)
- H-infinity-functional calculus (1)
- Hamiltonian dynamics (1)
- Hamiltonicity (1)
- Harmonic measure (1)
- Heat kernel coefficients (1)
- Heavy-tailed distributions (1)
- Helmholtz problem (1)
- Heuristics (1)
- High dimensional statistical inference (1)
- Hilbert Scales (1)
- Holder-type source condition (1)
- Holomorphic map (1)
- Holomorphic mappings (1)
- Hopf algebra (1)
- Hopf algebra of Feynman diagrams (1)
- Hughes-free (1)
- Hyperbolic dynamical system (1)
- IGRF (1)
- ITG-Grace2010 (1)
- Idempotents (1)
- Identities (1)
- Ill-conditioning (1)
- Indefinite (1)
- Index theory (1)
- Inference post model-selection (1)
- Infinite chain (1)
- Infinite divisibility (1)
- Infinite graph (1)
- Infinite-dimensional SDE (1)
- Infinite-dimensional interacting diffusion (1)
- Infinitely divisible point processes (1)
- Instruction (1)
- Integrability (1)
- Integral varifold (1)
- Integration by parts formula (1)
- Interpolation (1)
- Intrinsic metrics for Dirichlet forms (1)
- Intrinsicmotivation (1)
- Inverse Sturm-Liouville problem (1)
- Inverse ill-posed problem (1)
- Inverse problem (1)
- Inverse theory (1)
- Inversion (1)
- Ionospheric current (1)
- Isometry group (1)
- Iterated corner asymptotics of solutions (1)
- Ito SDE (1)
- Ito integral (1)
- Jump processes (1)
- KB-space (1)
- Kalman Bucy filter (1)
- Kalman smoother (1)
- Kalman-Bucy Filter (1)
- Kato square root problem (1)
- Kegel space (1)
- Kernel regression (1)
- Kinesin V (1)
- Koopman operator (1)
- Koopman semigroup (1)
- L-2-invariants (1)
- LETKF (1)
- Lagrangian modeling (1)
- Lagrangian modelling (1)
- Lagrangian system (1)
- Lagrangian-averaged equations (1)
- Lame system (1)
- Landing site selection (1)
- Landweber iteration (1)
- Langevin dynamics (1)
- Laplace-Beltrami operator (1)
- Laplace-type operator (1)
- Lattice cones (1)
- Learning analytics (1)
- Learning dispositions (1)
- Lefschetz number (1)
- Level of confidence (1)
- Levy diffusion approximation (1)
- Levy diffusions on manifolds (1)
- Levy process (1)
- Levy processes (1)
- Levy type processes (1)
- Lidar remote sensing (1)
- Lie groupoid (1)
- Linear inverse problems (1)
- Linearized equation (1)
- Lipopolysaccharides (LPS) (1)
- Lipschitz domain (1)
- Lithology (1)
- Local index theory (1)
- Locality (1)
- Lorenz 96 (1)
- Low rank matrices (1)
- Lower bound (1)
- Lyapunov equation (1)
- Lyapunov function (1)
- MASCOT (1)
- MCMC modelling (1)
- MOSAiC (1)
- Machine learning (1)
- Magnetic anomalies: modelling and interpretation (1)
- Magnetic field variations through time (1)
- Magnetosphere (1)
- Magnus expansion (1)
- Malliavin calculus (1)
- Manifolds with boundary (1)
- Marcus canonical equation (1)
- Marked Gibbs process (1)
- Markov Chain (1)
- Markov chain (1)
- Markov semigroups (1)
- Marx (1)
- Mathematical model (1)
- Mathematical modeling (1)
- Mathematics classrooms (1)
- Matrix function approximation (1)
- Maximal subsemibands (1)
- McKean-Vlasov (1)
- Measure-preserving semiflow (1)
- Mellin and Green operators edge symbols (1)
- Mellin operators (1)
- Mellin oscillatory integrals (1)
- Mellin quantization (1)
- Mellin quantizations (1)
- Mellin transform (1)
- Menger algebra of rank n (1)
- Metastasis (1)
- Microphysical particle properties (1)
- Microphysical properties (1)
- Minimax Optimality (1)
- Minimax convergence rates (1)
- Minimax hypothesis testing (1)
- Minimization (1)
- Minimizers (1)
- Misconceptions (1)
- Mittag-Leffler function (1)
- Model comparison (1)
- Model selection (1)
- Modified Hamiltonians (1)
- Moduli space (1)
- Molecular dynamics (1)
- Molecular motor (1)
- Mollification (1)
- Monte Carlo (1)
- Monte Carlo method (1)
- Morse-Smale property (1)
- Multi objective function (1)
- Multichannel wavelets (1)
- Multigrid (1)
- Multiple problem spaces (1)
- Multiple time stepping (1)
- Multiplicative Levy noise (1)
- Multiplicative noise (1)
- Multiscale analysis (1)
- Multivariate meromorphic functions (1)
- NWP (1)
- Nodal domain (1)
- Non-Markov drift (1)
- Non-coercive problem (1)
- Non-linear semigroups (1)
- Non-regular drift (1)
- Non-symmetric potential (1)
- Nonlinear Laplace operator (1)
- Nonlinear filters (1)
- Nonlinear ill-posed problems (1)
- Nonlinear systems (1)
- Nonparametric regression (1)
- Numerical simulation (1)
- Numerical weather prediction (1)
- Numerov's method (1)
- Ny-Alesund (1)
- ODE with random initial conditions (1)
- OSSS inequality (1)
- Ollivier-Ricci (1)
- Operation (1)
- Operator algebras (1)
- Operator differential equations (1)
- Operator-valued symbols (1)
- Operator-valued symbols of Mellin type (1)
- Operators on singular cones (1)
- Operators on singular manifolds (1)
- Optimal transportation (1)
- Optimality conditions (1)
- Order-preserving (1)
- Order-preserving bijections (1)
- Order-preserving maps (1)
- Order-reversing transformations (1)
- Ordered fields (1)
- Ordinary differential equations (1)
- Orlicz space height-excess (1)
- Ornstein-Uhlenbeck (1)
- Orthogonal connections with torsion (1)
- PBPK (1)
- PBTK (1)
- PC-MRI (1)
- Pacific Ocean (1)
- Pade approximants (1)
- Paleoclimate reconstruction (1)
- Paleoecology (1)
- Paleogeography (1)
- Papangelou process (1)
- Papangelou processes (1)
- Paracrine and autocrine regulation (1)
- Parametrices of elliptic operators (1)
- Partial algebra (1)
- Penalized likelihood (1)
- Perfect groups (1)
- Permuted balance (1)
- Perron-Frobenius operator (1)
- Perturbation theory (1)
- Perturbative renormalization (1)
- Pfaffian (1)
- Pharmacokinetic models (1)
- Phase transition (1)
- Physics concepts (1)
- PoSI constants (1)
- Poisson process (1)
- Polya difference process (1)
- Polya sum (1)
- Porous medium equation (1)
- Positional games (1)
- Positive mass theorem (1)
- Positive scalar curvature (1)
- Positive semigroups (1)
- Potential theory (1)
- Pregnancy (1)
- Primary 26D15 (1)
- Primary: 47B35 (1)
- Probabilistic numerical methods (1)
- Problem solving (1)
- Protein binding (1)
- Proving (1)
- Proxy forward modeling (1)
- Quadratic tilt-excess (1)
- Quadrature mirror filters (1)
- Quadrature rule (1)
- Quantizations (1)
- Quasi Random Walk (1)
- Quasi-shuffles (1)
- Quasimodes (1)
- RMSE (1)
- Radar backscatter (1)
- Random cluster model (1)
- Random feature maps (1)
- Random measures (1)
- Randomisation (1)
- Randomised tree algorithm (1)
- Randomized strategy (1)
- Rank (1)
- Rank of semigroup (1)
- Rarita-Schwinger (1)
- Reaction-diffusion system (1)
- Real-variable harmonic analysis (1)
- Reciprocal processes (1)
- Reclassification (1)
- Rectifiable varifold (1)
- Recursive transport equations (1)
- Regular semigroups (1)
- Regular variation (1)
- Regularity analysis (1)
- Regularization (1)
- Renormalisation (1)
- Renormalization (1)
- Reproducing kernel Hilbert space (1)
- Reversibility (1)
- Rho invariants (1)
- Ricci solitons (1)
- Riemannian manifold (1)
- Riesz continuity (1)
- Riesz topology (1)
- Risk assessment (1)
- Risk model (1)
- Root function (1)
- Rooted trees (1)
- Rota-Baxter (1)
- Rota-Baxter algebra (1)
- Rothe method (1)
- Rough paths (1)
- Runge-Kutta methods (1)
- SAR amplitude (1)
- SHBG (1)
- SPDEs (1)
- Sand pile (1)
- Satellite geodesy (1)
- Satellite magnetics (1)
- Satellite magnetometer observations (1)
- Scattering theory (1)
- Schrodinger equation (1)
- Schrödinger operator (1)
- Schrödinger operators (1)
- Second fundamental form (1)
- Secondary: 47L80 (1)
- Secular variation (1)
- Secular variation rate of change (1)
- Sedimentary ancient DNA (sedaDNA) (1)
- Self-interacting scalar field (1)
- Semi-classical analysis (1)
- Semiclassical analysis (1)
- Semigroup (1)
- Sentinel-1 (1)
- Sequential data assimilation (1)
- Sharp threshold (1)
- Shintani zeta values (1)
- Shnol theorem (1)
- Shuffle products (1)
- Shuffles (1)
- Signatures (1)
- Simulation of Gaussian processes (1)
- Singular analysis (1)
- Singular cones (1)
- Sinkhorn approximation (1)
- Sinkhorn problem (1)
- Small (1)
- Smooth cones (1)
- Smoothing (1)
- Sobolev Poincare inequality (1)
- Spectral Regularization (1)
- Spectral analysis (1)
- Spectral exponent (1)
- Spectral flow (1)
- Spectral gap (1)
- Spectral regularization (1)
- Spectral theory of graphs (1)
- Spectral triples (1)
- Spin geometry (1)
- Stability selection (1)
- Statistical inverse problem (1)
- Statistical learning (1)
- Statistical methods (1)
- Stochastic Burgers equations (1)
- Stochastic Hamiltonian (1)
- Stochastic bridges (1)
- Stochastic differential equations (1)
- Stochastic domination (1)
- Stochastic epidemic model (1)
- Stochastic geometry (1)
- Stochastic systems (1)
- Stormer-Verlet method (1)
- Strain (1)
- Stratified spaces (1)
- Stratonovich SDE (1)
- Stratonovich integral (1)
- Stress (1)
- Stress drop (1)
- Strike-slip fault model (1)
- Structured population equation (1)
- Sturm-Liouville problem (1)
- Sturm-Liouville problems of higher order (1)
- Subcritical (1)
- Subdivision schemes (1)
- Subdivisions (1)
- Subsampling (1)
- Super-quadratic tilt-excess (1)
- Surface roughness (1)
- Surgery (1)
- Svalbard (1)
- Sylvester equations (1)
- Symplectic manifold (1)
- Synchrotron (1)
- TEC (1)
- Taphonomy (1)
- Technology (1)
- TerraSAR-X/TanDEM-X (1)
- The Yamabe (1)
- Therapeutic proteins (1)
- Thermal mathematical model (1)
- Three-space theory (1)
- Tibetan Plateau (1)
- Tides (1)
- Tikhonov regularization (1)
- Time duality (1)
- Time integration (1)
- Time of flight (1)
- Toeplitz-type pseudodifferential operators (1)
- Topological model (1)
- Toxicokinetics (1)
- Trace Dirichlet form (1)
- Transformation semigroup (1)
- Transformation semigroups on infinite chains (1)
- Tunneling (1)
- Turbulence (1)
- Twisted product (1)
- Twisted symbolic estimates (1)
- Umbilic product (1)
- Unique Gibbs state (1)
- Unit disk (1)
- Universal covering group (1)
- Van der Pol oscillator (1)
- Variable selection (1)
- Variational principle (1)
- Vector bundle (1)
- Vector subdivision schemes (1)
- Visuospatial reasoning (1)
- Volterra operator (1)
- WKB ansatz (1)
- WKB approximation (1)
- WKB expansion (1)
- Warped product (1)
- Wasserstein distance (1)
- Wave equation (1)
- Weighted (1)
- Weighted edge spaces (1)
- Well log (1)
- Weyl tensor (1)
- Wide angle (1)
- Willmore functional (1)
- Wnt/beta-catenin signalling pathway (1)
- Yamabe invariant (1)
- Zeta-function (1)
- Zig-zag order (1)
- a posteriori stopping rule (1)
- accelerated small (1)
- accuracy (1)
- acute severe (1)
- adaptive (1)
- adaptivity (1)
- adrenal insufficiency (1)
- aerosol (1)
- aerosol size distribution (1)
- aerosol-boundary layer interactions (1)
- affine (1)
- affine invariance (1)
- algebra (1)
- algebra of rank n (1)
- algebraic systems (1)
- algebras (1)
- alternating direction implicit (1)
- analytic functional (1)
- analytic perturbation theory (1)
- animal behavior (1)
- antigen processing (1)
- approximate differentiability (1)
- approximation (1)
- archaeomagnetism (1)
- articulation (1)
- association (1)
- asteroseismology (1)
- asymptotic approximation (1)
- asymptotic expansions (1)
- asymptotic method (1)
- asymptotic properties of eigenfunctions (1)
- aurora (1)
- autonomic nervous system (1)
- backtrajectories; (1)
- backward heat problem (1)
- balanced dynamics (1)
- beta-functions (1)
- binding (1)
- bioinformatics (1)
- biological population equations (1)
- birhythmic behavior (1)
- black holes (1)
- boundary element method (1)
- boundary regularity (1)
- bridge (1)
- category equivalence of clones (1)
- characterization of point processes (1)
- chemical master equation (1)
- chemistry (1)
- classification with partial labels (1)
- clathrin (1)
- clone of operations (1)
- clustering (1)
- coarea formula (1)
- coherent set (1)
- coloration of terms (1)
- colored solid varieties (1)
- compact resolvent (1)
- companies (1)
- completeness levels (1)
- composition of terms (1)
- compound polyhedra (1)
- computational biology (1)
- concentration (1)
- condition number (1)
- conditional Bayes factors (1)
- conditions (1)
- confidence intervals (1)
- conjugate gradient (1)
- conservative discretization (1)
- consistency (1)
- continuous testing (1)
- continuous-time data assimilation (1)
- convergence assessment (1)
- convergence rate (1)
- corner Sobolev spaces with double weights (1)
- corner parametrices (1)
- correlated noise (1)
- cortisol (1)
- coupling methods (1)
- crossed product (1)
- curvature varifold (1)
- data-driven (1)
- decomposition (1)
- delaney-dress tiling theory (1)
- density estimation (1)
- dht-symmetric category (1)
- difference operator (1)
- diffusion maps (1)
- dimension independent bound (1)
- dimension reduction (1)
- disagreement percolation (1)
- discrete Schrodinger (1)
- discrete spectrum (1)
- disease activity (1)
- distribution (1)
- distribution with asymptotics (1)
- distributional boundary (1)
- distributions with one-sided support (1)
- division of spaces (1)
- division ring of fractions (1)
- division rings (1)
- dried blood spots (1)
- drug monitoring (1)
- duality formula (1)
- dynamical models (1)
- earthquake precursor (1)
- eigenfunction (1)
- eigenvalue asymptotics (1)
- eigenvalue decay (1)
- eigenvalues (1)
- elliptic boundary (1)
- elliptic complexes (1)
- elliptic differential operators of firstorder (1)
- elliptic equation (1)
- ellipticity (1)
- embedded Markov chain (1)
- embeddings (1)
- endomorphism semigroup (1)
- ensembles (1)
- equatorial ionization anomaly (1)
- equatorial ionosphere (1)
- equatorial plasma bubbles (1)
- ergodic diffusion processes (1)
- error diagram (1)
- essential position in terms (1)
- eta forms (1)
- evolution equation (1)
- exact simulation methods (1)
- exact solution (1)
- exchange algorithms (1)
- existence (1)
- exit calculus (1)
- exponential decay (1)
- eye movements (1)
- false discovery rate (1)
- feedback particle filter (1)
- fence-preserving transformations (1)
- fibration (1)
- field-aligned currents (1)
- finite transformation semigroup (1)
- first boundary value problem (1)
- first exit location (1)
- first exit times (1)
- first passage times (1)
- flood loss estimation (1)
- fluid mechanics (1)
- fluid-structure interaction (1)
- forcing from below (1)
- fore-casting (1)
- formal (1)
- formal power series (1)
- formulas (1)
- fractional calculus (1)
- fracture (1)
- fracture network (1)
- frameworks (1)
- frequency-modulated continuous-wave (FMCW) (1)
- functional calculus (1)
- generalized Bruck-Reilly *-extension (1)
- generalized eigenfunction (1)
- generalized eigenfunctions (1)
- generating sets (1)
- geodesic distance (1)
- geomagnetic field (1)
- geomorphology (1)
- geophysics (1)
- geopotential theory (1)
- gradient-free (1)
- gradient-free sampling methods (1)
- graph (1)
- graph Laplacian (1)
- green function (1)
- group (1)
- group ring (1)
- groups (1)
- hard core interaction (1)
- heat kernel (1)
- helicates (1)
- hemodynamics (1)
- high dimensional (1)
- high-dimensional inference (1)
- higher-order Sturm–Liouville problems (1)
- highly (1)
- holomorphic function (1)
- holonomic constraints (1)
- hybrid model (1)
- hydraulic tomography (1)
- hydrogeophysics (1)
- hydrostatic atmosphere (1)
- idealised turbulence (1)
- idleness (1)
- ill-posed problem (1)
- ill-posed problems (1)
- independent splittings (1)
- infinite-dimensional diffusion (1)
- infinitesimal generator (1)
- infliximab (1)
- infliximab dosing (1)
- integral equation (1)
- integration by parts formula (1)
- interacting particle systems (1)
- interacting particles (1)
- interindividual differences (1)
- invariance (1)
- inverse Sturm-Liouville problems (1)
- inverse Sturm–Liouville problems (1)
- inverse correlation estimation (1)
- inverse ill-posed problem (1)
- inverse potential problems (1)
- inverse problem (1)
- inverse problems (1)
- inverse scattering (1)
- inverse semigroup (1)
- inverse theory (1)
- ionospheric convection (1)
- ionospheric precursors of earthquakes (1)
- isoperimetric estimates (1)
- iterated asymptotics (1)
- jump process (1)
- kernel methods (1)
- kernel operator (1)
- knots (1)
- label noise (1)
- large deviations principle (1)
- laser remote sensing (1)
- lattice packing and covering (1)
- least favorable configuration (1)
- left-right asymmetry (1)
- lidar (1)
- likelihood function (1)
- limiting distribution (1)
- linear hyperidentity (1)
- linear identity (1)
- linear inverse problems (1)
- linear programming (1)
- linear regression (1)
- linear response (1)
- linearly implicit time stepping methods (1)
- local time (1)
- localisation (1)
- locally indicable group (1)
- log-concavity (1)
- logarithmic convergence rate (1)
- long-time corrections (1)
- low rank matrix recovery (1)
- low rank recovery (1)
- low-rank approximations (1)
- magnetic field variations through (1)
- magnitude errors (1)
- manifolds with boundary (1)
- manifolds with conical singularities (1)
- manifolds with corners (1)
- manifolds with edge and boundary (1)
- many-electron systems (1)
- mapping class (1)
- mapping class group (1)
- mapping degree (1)
- maps on surfaces (1)
- matrices (1)
- matrix completion (1)
- maximal regularity (1)
- maximal subsemigroup (1)
- mean ergodic (1)
- mean-field equations (1)
- mental arithmetic (1)
- mental number line (1)
- mesoscale forecasting (1)
- metal-organic (1)
- metastability (1)
- methods: data analysis (1)
- microphysical properties (1)
- mild solution (1)
- minimax hypothesis testing (1)
- minimax optimality (1)
- minor planets, asteroids: individual: (162173) Ryugu (1)
- mixed membership models (1)
- mixing (1)
- mixing optimization (1)
- mixture proportion estimation (1)
- modal analysis (1)
- model error (1)
- model uncertainty (1)
- modified Landweber method (1)
- molecular weaving (1)
- morphology (1)
- motion correction (1)
- motivic Feynman rules (1)
- multi-hypersubstitutions (1)
- multi-modular morphology (1)
- multi-scale diffusion processes (1)
- multiclass classification with label noise (1)
- multilevel Monte Carlo (1)
- multiple testing (1)
- multiple testing; (1)
- multiscale analysis (1)
- multiscale dynamics (1)
- multivariable (1)
- mutual contamination models (1)
- n-ary operation (1)
- n-ary term (1)
- negative curvature (1)
- networks (1)
- nodal flow (1)
- noise Levy diffusions (1)
- non-Gaussian (1)
- non-Markov drift (1)
- non-dissipative regularisations (1)
- nonasymptotic minimax separation rate (1)
- nondeterministic linear hypersubstitution (1)
- nonlinear (1)
- nonlinear PDI (1)
- nonlinear equations (1)
- nonparametric hypothesis testing (1)
- nonparametric statistics (1)
- normal reflection (1)
- nuclear norm (1)
- numerical (1)
- numerical analysis/modeling (1)
- numerical methods (1)
- numerical relativity (1)
- numerical weather prediction (1)
- numerical weather prediction/forecasting (1)
- open mapping theorem (1)
- operational momentum (1)
- operator (1)
- operator valued symbols (1)
- operators (1)
- operators with corner symbols (1)
- optimal order (1)
- optimal rate (1)
- oracle inequalities (1)
- oracle inequality (1)
- oral anticancer drugs (1)
- order continuous norm (1)
- order-preserving (1)
- order-preserving mappings (1)
- ordered group (1)
- orientation-preserving (1)
- orientation-preserving and orientation-reversing transformations (1)
- orientation-preserving transformations (1)
- oscillatory systems (1)
- p-Laplace equation (1)
- palaeomagnetism (1)
- paleoearthquakes (1)
- parabolic Harnack estimate (1)
- parameter estimation (1)
- parametrices (1)
- parametrices of elliptic operators (1)
- partial (1)
- partial Menger (1)
- partial averaging (1)
- partial least squares (1)
- particle methods (1)
- particle precipitation (1)
- patch antenna (1)
- pathwise expectations (1)
- pediatrics (1)
- percolation (1)
- periodic entanglement (1)
- permanental and determinantal point processes (MSC 2010) 35K55 (1)
- personalised medicine (1)
- pharmacokinetic (1)
- pharmacokinetics (1)
- pharmacometrics (1)
- phase dynamics (1)
- phase-locked loop (PLL) (1)
- physical SRB measures (1)
- pi-inverse monoid (1)
- planar rotors (1)
- polyhedra and polytopes (1)
- positive correlation (1)
- positive mass theorem (1)
- positive operators (1)
- posterior distribution (1)
- power amplifier (PA) (1)
- power series (1)
- presentations (1)
- principle (1)
- probabilistic modeling (1)
- problem (1)
- problem-solving (1)
- problems (1)
- proteasome (1)
- protein degradation (1)
- proteolysis (1)
- pseudo-differential boundary value problems (1)
- pseudo-differential operators (1)
- pseudospectral method (1)
- quantification (1)
- quasiconformal mapping (1)
- quasilinear Fredholm operators (1)
- quasimodes (1)
- r-hypersubstitution (1)
- r-term (1)
- radar (1)
- radiation mechanisms: thermal (1)
- random KMM-measure (1)
- random matrix theory (1)
- random walk on Abelian group (1)
- randomly forced Duffing equation (1)
- randomness (1)
- rank (1)
- rapid variations (1)
- rare events (1)
- rational Krylov (1)
- reading (1)
- real-variable harmonic analysis (1)
- red blood cells (1)
- regular and singular inverse Sturm-Liouville problems (1)
- regular figures (1)
- regular monoid (1)
- regular polyhedra (1)
- regularization method (1)
- regularization methods (1)
- regularly varying Levy process (1)
- relative isoperimetric inequality (1)
- relative ranks (1)
- representations of groups as automorphism groups of (1)
- resampling (1)
- resolvents (1)
- resonances (1)
- restricted isometry property (1)
- reversible measure (1)
- right limits (1)
- rock mechanics (1)
- rooted trees (1)
- rough metrics (1)
- saccades (1)
- sampling (1)
- scalable (1)
- secular variation (1)
- seismic hazard (1)
- semi-Lagrangian method (1)
- semi-classical limit (1)
- semiclassical Agmon estimate (1)
- semigroup representations (1)
- semigroups on infinite chain (1)
- shallow-water equations (1)
- short-range prediction (1)
- signal detection (1)
- simulations (1)
- singular Sturm-Liouville (1)
- singular foliation (1)
- singular points (1)
- skew Brownian motion (1)
- skew diffusions (1)
- small ball probabilities (1)
- small ball probabilities; (1)
- small noise asymptotic (1)
- small noise asymptotics (1)
- smooth drift dependence (1)
- smoother (1)
- spacecraft operations (1)
- sparsity (1)
- spectral cut-off (1)
- spectral flow (1)
- spectral regularization (1)
- spectral theory (1)
- spread correction (1)
- stability (1)
- stability and accuracy (1)
- stable limit cycle (1)
- stable variety (1)
- star product (1)
- stars: early-type (1)
- stars: individual: Vega (1)
- stars: oscillations (1)
- stars: rotation (1)
- starspots (1)
- statistical (1)
- statistical methods (1)
- statistical model selection (1)
- statistics (1)
- step-up (1)
- stiff ODE (1)
- stochastic Marcus (canonical) differential equation (1)
- stochastic bridge (1)
- stochastic completeness (1)
- stochastic models (1)
- stochastic process (1)
- stochastic reaction diffusion equation with heavy-tailed Levy noise (1)
- stochastic systems (1)
- stopping rules (1)
- stress variability (1)
- strongly tempered stable Levy measure (1)
- structured cantilever (1)
- sub-grid scale (1)
- subspaces (1)
- superposition (1)
- superposition of n-ary operations and n-ary (1)
- superposition of operations (1)
- surgery (1)
- surrogate loss (1)
- tangles (1)
- targeted antineoplastic drugs (1)
- temporal discretization (1)
- terms (1)
- terms and (1)
- theorem (1)
- theory (1)
- therapeutic (1)
- thermospheric wind (1)
- thymoproteasome (1)
- thymus (1)
- tiling theory (1)
- time (1)
- time-fractional derivative (1)
- topic modeling (1)
- torsion forms (1)
- trace (1)
- tracer tomography (1)
- transceiver (TRX) (1)
- transdimensional inversion (1)
- transformation (1)
- transformation semigroups (1)
- transformations on infinite set (1)
- transition paths (1)
- trapped surfaces (1)
- triply periodic minimal surface (1)
- truncated SVD (1)
- tunneling (1)
- two-dimensional topology (1)
- tyrosine kinase inhibitors (1)
- ulcerative colitis (1)
- ultracontractivity (1)
- uncertainty (1)
- uniqueness (1)
- universal Hopf algebra of renormalization (1)
- unknown variance (1)
- unsteady flow (1)
- upper atmosphere model (1)
- vagal sympathetic activity (1)
- value problems (1)
- variational iteration method (1)
- variational stability (1)
- verification (1)
- wave structure (1)
- weak boundary values (1)
- weak dependence (1)
- weakly almost periodic (1)
- weight-based formulations (1)
- weighted (1)
- weighted Sobolev spaces (1)
- weighted edge and corner spaces (1)
- weighted graphs (1)
- well-posedness (1)
- когомологии (1)
- комплекс де Рама (1)
- проблема Неймана (1)
- теория Ходжа (1)
Institute
- Institut für Mathematik (948) (remove)
The Levenberg–Marquardt regularization for the backward heat equation with fractional derivative
(2022)
The backward heat problem with time-fractional derivative in Caputo's sense is studied. The inverse problem is severely ill-posed in the case when the fractional order is close to unity. A Levenberg-Marquardt method with a new a posteriori stopping rule is investigated. We show that optimal order can be obtained for the proposed method under a Hölder-type source condition. Numerical examples for one and two dimensions are provided.
Congenital adrenal hyperplasia (CAH) is the most common form of adrenal insufficiency in childhood; it requires cortisol replacement therapy with hydrocortisone (HC, synthetic cortisol) from birth and therapy monitoring for successful treatment. In children, the less invasive dried blood spot (DBS) sampling with whole blood including red blood cells (RBCs) provides an advantageous alternative to plasma sampling.
Potential differences in binding/association processes between plasma and DBS however need to be considered to correctly interpret DBS measurements for therapy monitoring. While capillary DBS samples would be used in clinical practice, venous cortisol DBS samples from children with adrenal insufficiency were analyzed due to data availability and to directly compare and thus understand potential differences between venous DBS and plasma. A previously published HC plasma pharmacokinetic (PK) model was extended by leveraging these DBS concentrations.
In addition to previously characterized binding of cortisol to albumin (linear process) and corticosteroid-binding globulin (CBG; saturable process), DBS data enabled the characterization of a linear cortisol association with RBCs, and thereby providing a quantitative link between DBS and plasma cortisol concentrations. The ratio between the observed cortisol plasma and DBS concentrations varies highly from 2 to 8. Deterministic simulations of the different cortisol binding/association fractions demonstrated that with higher blood cortisol concentrations, saturation of cortisol binding to CBG was observed, leading to an increase in all other cortisol binding fractions.
In conclusion, a mathematical PK model was developed which links DBS measurements to plasma exposure and thus allows for quantitative interpretation of measurements of DBS samples.
In this article we prove upper bounds for the Laplace eigenvalues lambda(k) below the essential spectrum for strictly negatively curved Cartan-Hadamard manifolds. Our bound is given in terms of k(2) and specific geometric data of the manifold. This applies also to the particular case of non-compact manifolds whose sectional curvature tends to -infinity, where no essential spectrum is present due to a theorem of Donnelly/Li. The result stands in clear contrast to Laplacians on graphs where such a bound fails to be true in general.
Satellite-measured tidal magnetic signals are of growing importance. These fields are mainly used to infer Earth's mantle conductivity, but also to derive changes in the oceanic heat content. We present a new Kalman filter-based method to derive tidal magnetic fields from satellite magnetometers: KALMAG. The method's advantage is that it allows to study a precisely estimated posterior error covariance matrix. We present the results of a simultaneous estimation of the magnetic signals of 8 major tides from 17 years of Swarm and CHAMP data. For the first time, robustly derived posterior error distributions are reported along with the reported tidal magnetic fields. The results are compared to other estimates that are either based on numerical forward models or on satellite inversions of the same data. For all comparisons, maximal differences and the corresponding globally averaged RMSE are reported. We found that the inter-product differences are comparable with the KALMAG-based errors only in a global mean sense. Here, all approaches give values of the same order, e.g., 0.09 nT-0.14 nT for M2. Locally, the KALMAG posterior errors are up to one order smaller than the inter-product differences, e.g., 0.12 nT vs. 0.96 nT for M2.
Diffusion maps is a manifold learning algorithm widely used for dimensionality reduction. Using a sample from a distribution, it approximates the eigenvalues and eigenfunctions of associated Laplace-Beltrami operators. Theoretical bounds on the approximation error are, however, generally much weaker than the rates that are seen in practice. This paper uses new approaches to improve the error bounds in the model case where the distribution is supported on a hypertorus. For the data sampling (variance) component of the error we make spatially localized compact embedding estimates on certain Hardy spaces; we study the deterministic (bias) component as a perturbation of the Laplace-Beltrami operator's associated PDE and apply relevant spectral stability results. Using these approaches, we match long-standing pointwise error bounds for both the spectral data and the norm convergence of the operator discretization. We also introduce an alternative normalization for diffusion maps based on Sinkhorn weights. This normalization approximates a Langevin diffusion on the sample and yields a symmetric operator approximation. We prove that it has better convergence compared with the standard normalization on flat domains, and we present a highly efficient rigorous algorithm to compute the Sinkhorn weights.
We establish a new approach of treating elliptic boundary value problems (BVPs) on manifolds with boundary and regular corners, up to singularity order 2. Ellipticity and parametrices are obtained in terms of symbols taking values in algebras of BVPs on manifolds of corresponding lower singularity orders. Those refer to Boutet de Monvel's calculus of operators with the transmission property, see Boutet de Monvel (Acta Math 126:11-51, 1971) for the case of smooth boundary. On corner configuration operators act in spaces with multiple weights. We mainly study the case of upper left entries in the respective 2 x 2 operator block-matrices of such a calculus. Green operators in the sense of Boutet de Monvel (Acta Math 126:11-51, 1971) analogously appear in singular cases, and they are complemented by contributions of Mellin type. We formulate a result on ellipticity and the Fredholm property in weighted corner spaces, with parametrices of analogous kind.
Ground motion with strong-velocity pulses can cause significant damage to buildings and structures at certain periods; hence, knowing the period and velocity amplitude of such pulses is critical for earthquake structural engineering.
However, the physical factors relating the scaling of pulse periods with magnitude are poorly understood.
In this study, we investigate moderate but damaging earthquakes (M-w 6-7) and characterize ground- motion pulses using the method of Shahi and Baker (2014) while considering the potential static-offset effects.
We confirm that the within-event variability of the pulses is large. The identified pulses in this study are mostly from strike-slip-like earthquakes. We further perform simulations using the freq uency-wavenumber algorithm to investigate the causes of the variability of the pulse periods within and between events for moderate strike-slip earthquakes.
We test the effect of fault dips, and the impact of the asperity locations and sizes. The simulations reveal that the asperity properties have a high impact on the pulse periods and amplitudes at nearby stations.
Our results emphasize the importance of asperity characteristics, in addition to earthquake magnitudes for the occurrence and properties of pulses produced by the forward directivity effect.
We finally quantify and discuss within- and between-event variabilities of pulse properties at short distances.
Both ground- and satellite-based airglow imaging have significantly contributed to understanding the low-latitude ionosphere, especially the morphology and dynamics of the equatorial ionization anomaly (EIA). The NASA Global-scale Observations of the Limb and Disk (GOLD) mission focuses on far-ultraviolet airglow images from a geostationary orbit at 47.5 degrees W. This region is of particular interest at low magnetic latitudes because of the high magnetic declination (i.e., about -20 degrees) and proximity of the South Atlantic magnetic anomaly. In this study, we characterize an exciting feature of the nighttime EIA using GOLD observations from October 5, 2018 to June 30, 2020. It consists of a wavelike structure of a few thousand kilometers seen as poleward and equatorward displacements of the EIA-crests. Initial analyses show that the synoptic-scale structure is symmetric about the dip equator and appears nearly stationary with time over the night. In quasi-dipole coordinates, maxima poleward displacements of the EIA-crests are seen at about +/- 12 degrees latitude and around 20 and 60 degrees longitude (i.e., in geographic longitude at the dip equator, about 53 degrees W and 14 degrees W). The wavelike structure presents typical zonal wavelengths of about 6.7 x 10(3) km and 3.3 x 10(3) km. The structure's occurrence and wavelength are highly variable on a day-to-day basis with no apparent dependence on geomagnetic activity. In addition, a cluster or quasi-periodic wave train of equatorial plasma depletions (EPDs) is often detected within the synoptic-scale structure. We further outline the difference in observing these EPDs from FUV images and in situ measurements during a GOLD and Swarm mission conjunction.
The Arnoldi process can be applied to inexpensively approximate matrix functions of the form f (A)v and matrix functionals of the form v*(f (A))*g(A)v, where A is a large square non-Hermitian matrix, v is a vector, and the superscript * denotes transposition and complex conjugation. Here f and g are analytic functions that are defined in suitable regions in the complex plane. This paper reviews available approximation methods and describes new ones that provide higher accuracy for essentially the same computational effort by exploiting available, but generally not used, moment information. Numerical experiments show that in some cases the modifications of the Arnoldi decompositions proposed can improve the accuracy of v*(f (A))*g(A)v about as much as performing an additional step of the Arnoldi process.
Hidden semi-Markov models generalise hidden Markov models by explicitly modelling the time spent in a given state, the so-called dwell time, using some distribution defined on the natural numbers. While the (shifted) Poisson and negative binomial distribution provide natural choices for such distributions, in practice, parametric distributions can lack the flexibility to adequately model the dwell times. To overcome this problem, a penalised maximum likelihood approach is proposed that allows for a flexible and data-driven estimation of the dwell-time distributions without the need to make any distributional assumption. This approach is suitable for direct modelling purposes or as an exploratory tool to investigate the latent state dynamics. The feasibility and potential of the suggested approach is illustrated in a simulation study and by modelling muskox movements in northeast Greenland using GPS tracking data. The proposed method is implemented in the R-package PHSMM which is available on CRAN.