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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Optimization-inspired deep unfolding correction-distillation network for CS-MRI reconstruction
优化启发 CS-MRI 重建深度展开 校正-蒸馏网络
2023/4/27
In this talk, we discuss a unifying deep unfolding multi-sampling-ratio interpretable CS-MRI framework. The combined approach offers more generalizability than the existing deep-learning-based CS-MRI ...
A short proof of the logarithmic Bramson correction in Fisher-KPP equations
logarithmic Bramson correction Fisher-KPP equations
2015/7/14
In this paper, we explain in simple PDE terms a famous result of Bramson about the logarithmic delay of the position of the solutions u(t, x) of Fisher-KPP reaction-diffusion equations in R, with resp...
Highly Robust Error Correction by Convex Programming
Linear codes decoding of (random) linear codes sparse solutions to underdetermined systems `1 minimization linear programming second-order cone programming the Dantzig selector restricted orthonormality Gaussian random matrices and random projections
2015/6/17
This paper discusses a stylized communications problem where one wishes to transmit a real-valued signal x ∈ Rn (a block of n pieces of information) to a remote receiver. We ask whether it is possible...
Error Correction via Linear Programming
Linear codes decoding of (random) linear codes sparse solutions to underdetermined systems `1-minimization linear programming restricted orthonormality Gaussian random matrices.
2015/6/17
Suppose we wish to transmit a vector f ∈ Rn reliably. A frequently discussed approach consists in encoding f with an m by n coding matrix A. Assume now that a fraction of the entries of Af are corrupt...
Dense Error Correction for Low-Rank Matrices via Principal Component Pursuit
Dense Error Correction Low-Rank Matrices Principal Component Pursuit
2015/6/17
We consider the problem of recovering a lowrank matrix when some of its entries, whose locations are not known a priori, are corrupted by errors of arbitrarily large magnitude. It has recently been sh...
Correction Methods, Approximate Biases, and Inference for Misclassified Data
Misclassified Data Approximate Biases
2014/12/8
When categorical data are misplaced into the wrong category, we say the data is affected by misclassification. This is common for data collection. It is well-known that naive estimators of category pr...
Multilevel Correction For Collocation Solutions of Volterra Integral Equations With Proportional Delays
delay integral equation geometric mesh collocation method superconvergence
2012/8/10
In this paper we propose a convergence acceleration method
for collocation solutions of the linear second-kind Volterra integral
equations with proportional delay qt (0 < q < 1). This convergence
a...
mplementing Arbitrarily High-Order Symplectic MethodsVia Krylov Deferred Correction Technique
High-Order Symplectic MethodsVia Krylov Deferred Correction Technique
2012/8/8
In this paper, an ecient numerical procedure is presented to implement the
Gaussian Runge-Kutta (GRK) methods (also called Gauss methods). The GRK technique
first discretizes each marching step of ...
Bias correction for estimators of the extremal index
absolute regularity clustering of extremes extremal index empirical cluster process bias reduction
2011/9/29
Abstract: We investigate the joint asymptotic behavior of so-called blocks estimator of the extremal index, that determines the mean length of clusters of extremes, based on the exceedances over diffe...
A Multi-level Correction Scheme for Eigenvalue Problems
Eigenvalue problem multi-level correction scheme finite element method multi-space multi-grid
2011/8/23
Abstract: In this paper, a new type of multi-level correction scheme is proposed for solving eigenvalue problems by finite element method. With this new scheme, the accuracy of eigenpair approximation...
Continuity correction for barrier options in jump-diffusion models
Barrier option Bessel process Continuity correction Exponential L´ evy model
2011/2/22
The aim of this paper is to study the continuity correction for barrier options in jump-diffusion models. For this purpose, we express the pay-off of a barrier option in terms of the maximum of the un...
Multiple-access Network Information-flow and Correction Codes
Multiple-access Network Information-flow Correction Codes
2011/1/17
This work considers the multiple-access multicast error-correction scenario over a packetized network with z malicious edge adversaries.
Network error correction with unequal link capacities
Network error correction unequal link capacities
2010/11/22
This paper studies the capacity of single-source single-sink noiseless networks under adversarial or arbitrary errors on no more than z edges. Unlike prior papers, which assume equal capacities on al...
A spatial version of the Itô-Stratonovich correction
spatial version the Itô -Stratonovich correction
2010/11/9
We consider a class of stochastic PDEs of Burgers type in spatial dimension 1, driven by space-time white noise. Even though it is well-known that these equations are well-posed, it turns out that if ...
Construction of Network Error Correction Codes in Packet Networks
Network Error Correction Codes Packet Networks
2010/11/11
Recently, network error correction coding (NEC) has been studied extensively. Several bounds in classical coding theory have been extended to network error correction coding, especially the Singleton...