A comparative analysis of optimization and generalization properties of two-layer neural network and random feature models under gradient descent dynamics
来源期刊:Science China MathematicsDOI:10.1007/s11425-019-1628-5
Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9338-5
MgNet: A unified framework of multigrid and convolutional neural network
来源期刊:Science China MathematicsDOI:10.1007/s11425-019-9547-2
Enhanced dissipation for the Kolmogorov flow via the hypocoercivity method
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9508-5
L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9498-8
Linear forms, algebraic cycles, and derivatives of L-series
来源期刊:Science China MathematicsDOI:10.1007/S11425-019-1589-7
Detecting direct associations in a network by information theoretic approaches
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9206-0
Frobenius bimodules and flat-dominant dimensions
来源期刊:Science China MathematicsDOI:10.1007/s11425-018-9519-2
Sharp spectral gap for the Finsler p-Laplacian
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9510-5
Abelian quotients and orbit sizes of linear groups
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9460-2
The Selberg-Delange method in short intervals with some applications
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9172-7
A conservative numerical method for the fractional nonlinear Schröinger equation in two dimensions
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9388-9
Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation
来源期刊:Science China MathematicsDOI:10.1007/s11425-019-1615-x
Pseudo-anti commuting Ricci tensor for real hypersurfaces in the complex hyperbolic quadric
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9298-0
A survey of the Szegő equation
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9497-0
On a class of almost regular Landsberg metrics
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9290-6
Examples of compact λ-hypersurfaces in Euclidean spaces
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9464-7
Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems
来源期刊:Science China MathematicsDOI:10.1007/s11425-018-9524-x
A theoretic study of a distance-based regression model
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9295-7
Low regularity well-posedness for the viscous surface wave equation
来源期刊:Science China MathematicsDOI:10.1007/s11425-018-9410-3
Dynamics of a rigid body in a two-dimensional incompressible perfect fluid and the zero-radius limit
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9505-8
The decomposition of permutation module for infinite Chevalley groups
来源期刊:Science China MathematicsDOI:10.1007/s11425-017-9532-5
Extension formulae on almost complex manifolds
来源期刊:Science China MathematicsDOI:10.1007/s11425-019-1668-4
Stability results of properties related to the Bishop-Phelps-Bollobás property for operators
来源期刊:Science China MathematicsDOI:10.1007/s11425-019-9569-2
The Christoffel problem by the fundamental solution of the Laplace equation
来源期刊:Science China MathematicsDOI:10.1007/s11425-019-1674-1
The complex 2-sphere in ℂ3 and Schrödinge flows
来源期刊:Science China MathematicsDOI:10.1007/s11425-018-9350-0
The asymptotic existence of frames with a pair of orthogonal frame resolutions
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9386-2
Number of synchronized and segregated interior spike solutions for nonlinear coupled elliptic systems with continuous potentials
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9098-9
A function model for the Teichmüller space of a closed hyperbolic Riemann surface
来源期刊:Science China MathematicsDOI:10.1007/s11425-019-9520-4
A viral propagation model with a nonlinear infection rate and free boundaries
来源期刊:Science China MathematicsDOI:10.1007/s11425-020-1680-0
Dependence of solutions and eigenvalues of third order linear measure differential equations on measures
来源期刊:Science China MathematicsDOI:10.1007/s11425-018-9458-7
Evolutionary dynamics of cancer: From epigenetic regulation to cell population dynamics—mathematical model framework, applications, and open problems
来源期刊:Science China MathematicsDOI:10.1007/s11425-019-1629-7
Periodic points and normal families concerning multiplicity
来源期刊:Science China MathematicsDOI:10.1007/s11425-016-9185-4
Efficient projected gradient methods for cardinality constrained optimization
来源期刊:Science China MathematicsDOI:10.1007/s11425-016-9124-0
Gorenstein homological invariant properties under Frobenius extensions
来源期刊:Science China MathematicsDOI:10.1007/s11425-018-9432-2
Consistent tuning parameter selection in high-dimensional group-penalized regression
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9189-9
Subsampling bias and the best-discrepancy systematic cross validation
来源期刊:Science China MathematicsDOI:10.1007/s11425-018-9561-0
Unstabilized and uncritical self-amalgamation along essential subsurfaces
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9202-3
The BLM realization for the integral form of Uv(glm|n)
来源期刊:Science China MathematicsDOI:10.1007/S11425-016-9103-1
A monotonicity theorem and its applications to weighted elliptic equations
来源期刊:Science China MathematicsDOI:10.1007/s11425-018-9414-8
From classical tilting to two-term silting
来源期刊:Science China MathematicsDOI:10.1007/s11425-018-9550-9
Rigidity for convex mappings of Reinhardt domains and its applications
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9359-9
Tail asymptotic for discounted aggregate claims with one-sided linear dependence and general investment return
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9167-0
Some recent progress in non-Kähler geometry
来源期刊:Science China MathematicsDOI:10.1007/S11425-019-9528-1
The Cauchy problem for a class of nonlinear degenerate parabolic-hyperbolic equations
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9215-8
Semiparametric quantile-difference estimation for length-biased and right-censored data
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9250-0
Lp-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on ℝn
来源期刊:Science China MathematicsDOI:10.1007/S11425-017-9310-0
Nevanlinna theory through the Brownian motion
来源期刊:Science China MathematicsDOI:10.1007/s11425-019-9548-y
Quasi-periodic solutions for the general semilinear Duffing equations with asymmetric nonlinearity and oscillating potential
来源期刊:Science China MathematicsDOI:10.1007/S11425-018-9491-0
A new piecewise quadratic approximation approach for L0 norm minimization problem
来源期刊:Science China MathematicsDOI:10.1007/s11425-017-9315-9