Statistical theory for image classification using deep convolutional neural network with cross-entropy loss under the hierarchical max-pooling model. (English) Zbl 07923796
MSC:
62-XX
Found 2,989 Documents (Results 1–100)
On the optimality of target-data-dependent kernel greedy interpolation in Sobolev reproducing kernel Hilbert spaces. (English) Zbl 07930213
Convergence rates in the nonrelativistic limit of the cubic Klein-Gordon equation. (English) Zbl 07928647
\(L^2\) error estimates of unsymmetric RBF collocation for second order elliptic boundary value problems. (English) Zbl 07925749
Weak approximations of stochastic partial differential equations with fractional noise. (English) Zbl 07924434
Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems. (English) Zbl 07923330
A class of space-time discretizations for the stochastic \(p\)-Stokes system. (English) Zbl 07923226
From law of the iterated logarithm to Zolotarev distance for supercritical branching processes in random environment. (English) Zbl 07913923
Reviewer: Fraser Daly (Edinburgh)
Interpolation conditions for linear operators and applications to performance estimation problems. (English) Zbl 07909893
Convergence guarantees for forward gradient descent in the linear regression model. (English) Zbl 07901368
Space-time approximation of local strong solutions to the 3D stochastic Navier-Stokes equations. (English) Zbl 07898893
Convergence to equilibrium for solutions of some forced discretized second-order gradient-like systems. (English) Zbl 07897752
Convergence rates of mild solution to a fractional chemotaxis-Navier-Stokes system modeling coral fertilization. (English) Zbl 07896609
On the rate of convergence of ergodic averages for functions of Gordin space. (English) Zbl 07896377
Convergence analysis of stochastic higher-order majorization-minimization algorithms. (English) Zbl 07896312
Convergence analysis of a fully discrete scheme for diffusion-wave equation forced by tempered fractional Brownian motion. (English) Zbl 07894788
Deviation inequalities for dependent sequences with applications to strong approximations. (English) Zbl 07879391
Reviewer: Oleg K. Zakusilo (Kyïv)
Simultaneous decorrelation of matrix time series. (English) Zbl 07877133
MSC:
62-XX
Strong uniform convergence rates of the linear wavelet estimator of a multivariate copula density. (English) Zbl 07868377
Higher order stable generalized isogeometric analysis for interface problems. (English) Zbl 1542.65159
Equivalences of geometric ergodicity of Markov chains. (English) Zbl 07865969
Reviewer: Ze-Chun Hu (Chengdu)
Convergence analysis of inexact Newton-Landweber iteration with frozen derivative in Banach spaces. (English) Zbl 07864549
Convergence rates and fluctuations for the Stokes-Brinkman equations as homogenization limit in perforated domains. (English) Zbl 1541.35030
The iterative generalized quasi-boundary value method for an inverse source problem of time fractional diffusion-wave equation in a cylinder. (English) Zbl 1539.35294
Structural stability and optimal convergence rates of subsonic Euler flows with large vorticity in infinitely long nozzles. (English) Zbl 1540.35299
Spectral projected subgradient method with a 1-memory momentum term for constrained multiobjective optimization problem. (English) Zbl 07850979
Exact reconstruction and reconstruction from noisy data with anisotropic total variation. (English) Zbl 1539.49009
The inexact cyclic block proximal gradient method and properties of inexact proximal maps. (English) Zbl 07846598
MSC:
90C30
A note on the rate of convergence of integration schemes for closed surfaces. (English) Zbl 07841099
Convergence analysis of an IMEX scheme for an integro-differential equation with inexact boundary arising in option pricing with stochastic intensity jumps. (English) Zbl 07839865
A family of inertial-based derivative-free projection methods with a correction step for constrained nonlinear equations and their applications. (English) Zbl 07830557
MSC:
94A12
Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization. (English) Zbl 07829608
A nonstationary iterated quasi-boundary value method for reconstructing the source term in a time-space fractional diffusion equation. (English) Zbl 07829094
MSC:
65Mxx
Rates of convergence and metastability for Chidume’s algorithm for the approximation of zeros of accretive operators in Banach spaces. (English) Zbl 07827111
Stabilization policy and lags. (English) Zbl 1533.91335
MSC:
91B64
Quantitative rates of convergence to equilibrium for the degenerate linear Boltzmann equation on the torus. (English) Zbl 1534.35285
Convergence of a continuous Galerkin method for hyperbolic-parabolic systems. (English) Zbl 07813458
Exponential bounds and convergence rates of sieve estimators for functional autoregressive processes. (English) Zbl 07812671
Strong approximation of a two-factor stochastic volatility model under local Lipschitz condition. (English) Zbl 1534.91165
Compact IMEX scheme for a moving boundary PIDE system of the regime-switching jump-diffusion Asian option pricing. (English) Zbl 1534.91176
Efficiency of higher-order algorithms for minimizing composite functions. (English) Zbl 1539.90078
MSC:
90C26
A spectral criterion for power-law convergence rate in the ergodic theorem for \({ \mathbb{Z} }^d\) and \({ \mathbb{R} }^d\) actions. (English. Russian original) Zbl 1536.37004
Sib. Math. J. 65, No. 1, 76-95 (2024); translation from Sib. Mat. Zh. 65, No. 1, 92-114 (2024).
Reviewer: Thomas B. Ward (Durham)
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space. (English) Zbl 1532.35378
Rates of convergence for the asymptotic behavior of second-order Cauchy problems. (English) Zbl 07799727
Strong convergence for an explicit fully-discrete finite element approximation of the Cahn-Hilliard-Cook equation with additive noise. (English) Zbl 1531.65016
Local linear convergence of proximal coordinate descent algorithm. (English) Zbl 1536.90116
MSC:
90C06
Stochastic fixed-point iterations for nonexpansive maps: convergence and error bounds. (English) Zbl 1539.47115
Adaptive minimax optimality in statistical inverse problems via SOLIT – sharp optimal Lepskiĭ-inspired tuning. (English) Zbl 1542.65062
MSC:
65J22
Comparing the methods of alternating and simultaneous projections for two subspaces. (English) Zbl 1533.41009
Reviewer: Kai Diethelm (Schweinfurt)
The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains. (English) Zbl 1530.35133
Vector subdivision schemes and their convergence for arbitrary matrix masks. (English) Zbl 1522.65269
Profile cut-off phenomenon for the ergodic Feller root process. arXiv:2402.15457
Preprint, arXiv:2402.15457 [math.PR] (2024).
Convergence rates of stationary and non-stationary asymptotical regularization methods for statistical inverse problems in Banach spaces. (English) Zbl 07925138
New results for variational regularization with oversmoothing penalty term in Banach spaces. (English) Zbl 07918191
Uniform convergence on subspaces in von Neumann’s ergodic theorem with continuous time. (English) Zbl 07896765
Asymptotic behavior of Infinite systems determined by polynomial shift operators. (English) Zbl 07889024
MSC:
93-XX
The evaluation complexity of finding high-order minimizers of nonconvex optimization. (English) Zbl 1542.90258
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5256-5289 (2023).
Gradient-based simulation optimization algorithms via multi-resolution system approximations. (English) Zbl 07810393
MSC:
90Cxx
Convergence rates of epsilon-greedy global optimization under radial basis function interpolation. (English) Zbl 1540.90216
On the linearized system of equations for the condensate-normal fluid interaction at very low temperature. (English) Zbl 07801254
On the strong approximation of the non-overlapping \(k\)-spacings process with application to the moment convergence rates. (English) Zbl 1529.62053
Existence, uniqueness and ergodicity for the centered Fleming-Viot process. (English) Zbl 1535.37012
On computational properties of Cauchy problems generated by accretive operators. (English) Zbl 07787215
Positivity-preserving truncated Euler-Maruyama method for generalised Ait-Sahalia-type interest model. (English) Zbl 1533.65017
Reviewer: Jaromír Antoch (Praha)
On the convergence rates of multi-dimensional subsonic irrotational flows in unbounded domains. (English) Zbl 1532.35146
A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order. (English) Zbl 1532.41002
On a dynamic variant of the iteratively regularized Gauss-Newton method with sequential data. (English) Zbl 1535.65070
An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder. (English) Zbl 07780860
MSC:
65-XX
The Cauchy problem for the nonisentropic compressible MHD fluids: optimal time-decay rates. (English) Zbl 1529.35389
From exponential counting to pair correlations. (Du comptage exponentiel aux corrélations de paires.) (English. French summary) Zbl 1532.37035
Fast Krasnosel’skiĭ-Mann algorithm with a convergence rate of the fixed point iteration of \(o\left(\frac{1}{k}\right)\). (English) Zbl 07770187
On convergence rates of proximal alternating direction method of multipliers. (English) Zbl 1534.90187
Large-time behavior of solutions for unipolar Euler-Poisson equations with critical over-damping. (English) Zbl 1526.35079
A fourth-moment phenomenon for asymptotic normality of monochromatic subgraphs. (English) Zbl 1526.05046
On Korpelevich’s extragradient algorithm. (English) Zbl 1533.49005
Reviewer: Bing Tan (Chengdu)
\(L^2\) error estimates of unsymmetric RBF collocation for second order quasilinear elliptic equations. (English) Zbl 07759146
MSC:
65Nxx
A stochastic Bregman primal-dual splitting algorithm for composite optimization. (English) Zbl 1525.49016
Quadratic transportation cost in the conditional central limit theorem for dependent sequences. (Coût de transport quadratique dans le théorème Limite central conditionnel pour des suites dépendantes.) (English. French summary) Zbl 1525.60034
Reviewer: Fraser Daly (Edinburgh)
Delay Ait-Sahalia-type interest rate model with jumps and its strong approximation. (English) Zbl 1525.65010
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. (English) Zbl 1523.65090
Reviewer: Bülent Karasözen (Ankara)
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