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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence Thery of Deep Neural Networks: Arbitrary Activation Functions and Pooling
深度神经网络 激活函数 池化
2023/4/28
Deep neural networks, as a powerful system to represent high dimensional complex functions, play a key role in deep learning. Convergence of deep neural networks is a fundamental issue in building the...
中国地质大学科学技术发展院左博新，胡祥云*等，计算机学院，Geophysical Research Letters （2020），Downward Continuation and Transformation of Total‐Field Magnetic Anomalies Into Magnetic Gradient Tensors Between Arbitrary Surfaces Using Multilayer Equivalent Sources
资源勘探；等效源方法；磁测；数据；下延拓；磁梯度；张量；转换计算
2021/10/15
近日，地球物理著名期刊《Geophysical Research Letters》正式刊发了中国地质大学胡祥云教授团队研究成果 -“Downward continuation and transformation of total-field magnetic anomalies into magnetic gradient tensors between arbitrary surfaces u...
Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders
Arnold diffusion arbitrary degrees of freedom crumpled 3-dimensional hyperbolic invariant cylinders
2015/9/25
Arnold diffusion in arbitrary degrees of freedom and crumpled 3-dimensional normally hyperbolic invariant cylinders.
A PROOF OF THE UNIFORMIZATION THEOREM FOR ARBITRARY PLANE DOMAINS
UNIFORMIZATION THEOREM ARBITRARY PLANE DOMAINS
2015/8/26
We present a simple constructive proof of the Uniformization Theorem which works for plane domains. The proof is a combination of covering space theory and Koebe's constructive proof of the Riemann ma...
Bootstrapping data arrays of arbitrary order
Bayesian pigeonhole bootstrap online bagging online bootstrap
2015/8/21
In this paper we study a bootstrap strategy for estimating the variance of a mean taken over large multifactor crossed random e ects data
sets. We apply bootstrap reweighting independently to the lev...
A Simple Manifold-Based Construction of Surfaces of Arbitrary Smoothness
Geometric modeling manifolds
2015/7/14
We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are h...
Non-adiabatic KPP fronts with an arbitrary Lewis number
Non-adiabatic KPP arbitrary Lewis number
2015/7/14
We establish existence of travelling fronts in thermo-diffusive systems of the KPP type in a shear flow with an arbitrary Lewis number and a positive heat-loss at the boundary. We then prove that the ...
Travelling fronts for the thermodiffusive system with arbitrary Lewis numbers
Travelling fronts thermodiffusive system arbitrary Lewis numbers
2015/7/14
We consider KPP-type systems in a cylinder with an arbitrary Lewis number (the ratio of thermal and material diffusivities) in the presence of a shear flow. We show that traveling fronts solutions exi...
Convexity of Optimal Control over Networks with Delays and Arbitrary Topology
Delays Arbitrary Topology
2015/6/19
We consider the design of optimal controllers for a networked system (or a spatio-temporal system), where the dynamics of each subsystem may affect those of other subsystems with some propagation dela...
Non-orthogonal version of the arbitrary polygonal C-grid and a new diamond grid
Non-orthogonal version arbitrary polygonal C-grid
2014/12/18
Quasi-uniform grids of the sphere have become
popular recently since they avoid parallel scaling bottlenecks associated with the poles of latitude–longitude grids.
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
solitary waves nonlinear Dirac equation arbitrary nonlinearity
2014/10/10
We consider the nonlinear Dirac equation in 1+1 dimension with scalar-scalar self interaction g 2κ +1 (ΨΨ)ˉ κ +1 and with mass m. Using the exact analytic form for rest frame solitary waves of the for...
A novel construction of complex-valued Gaussian processes with arbitrary spectral densities and its application to excitation energy transfer
complex-valued Gaussian processes arbitrary spectral densities application to excitation energy transfer
2014/9/24
The recent experimental discoveries about excitation energy transfer (EET) in light harvesting antenna (LHA) attract a lot of interest. As an open non-equilibrium quantum system, the EET demands more ...
MINIMUM LATENCY LINK SCHEDULING FOR ARBITRARY DIRECTED ACYCLIC NETWORKSUNDER PRECEDENCE AND SINR CONSTRAINTS
Minimum latency link scheduling SINR model physical interference model
2012/12/4
Scheduling wireless links under the SINR model has attracted increasing attention in the past few years [1–6, 8–15, 18–20, 23–25, 27, 28, 33–36, 39, 41, 42, 45, 46]. However, most of previous work did...
Minimum Latency Aggregation Scheduling for Arbitrary Tree Topologies under the SINR Model
Minimum Latency Tree undeer Topologies SINR Model
2012/12/4
Almost all the existing wireless data aggregation approaches；need a topology construction step before scheduling. These solutions assume the availability of flexible topology controls. However, in rea...
Semi-ordinary p-stabilization of the Siegel Eisenstein series of arbitrary genus
Siegel modular forms Eisenstein series p-adic analytic family
2012/7/11
For a given odd prime p, we define a certain p-stabilization of the Siegel Eisenstein series of arbitrary genus so that the resulting eigenvalue of a generalized Atkin operator at p is a p-adic unit (...