
Lowrank approximation for multiscale PDEs
Historically, analysis for multiscale PDEs is largely unified while nume...
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A reduced order Schwarz method for nonlinear multiscale elliptic equations based on twolayer neural networks
Neural networks are powerful tools for approximating high dimensional da...
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Quasilinear analysis of dispersion relation preservation for nonlinear schemes
In numerical simulations of complex flows with discontinuities, it is ne...
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Improved cooperation by balancing exploration and exploitation in intertemporal social dilemma tasks
When an individual's behavior has rational characteristics, this may lea...
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On the Global Convergence of Gradient Descent for multilayer ResNets in the meanfield regime
Finding the optimal configuration of parameters in ResNet is a nonconvex...
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Thirdorder scaleindependent WENOZ scheme achieving optimal order at critical points
As we found previously, when critical points occur within grid intervals...
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Tracing Halpha Fibrils through Bayesian Deep Learning
We present a new deep learning method, dubbed FibrilNet, for tracing chr...
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Overparameterization of deep ResNet: zero loss and meanfield analysis
Finding parameters in a deep neural network (NN) that fit training data ...
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Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion
In computational PDEbased inverse problems, a finite amount of data is ...
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Dynamic Routing for Traffic Flow through Multiagent Systems
Routing strategies for traffics and vehicles have been historically stud...
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Constrained Ensemble Langevin Monte Carlo
The classical Langevin Monte Carlo method looks for i.i.d. samples from ...
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SRAffine: Highquality 3D hand model reconstruction from UV Maps
Under various poses and heavy occlusions,3D hand model reconstruction ba...
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On developing piecewise rational mapping with fine regulation capability for WENO schemes
On the idea of mapped WENOJS scheme, properties of mapping methods are ...
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Semiclassical limit of an inverse problem for the Schrödinger equation
It is a classical derivation that the Wigner equation, derived from the ...
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Reconstructing the thermal phonon transmission coefficient at solid interfaces in the phonon transport equation
The ab initio model for heat propagation is the phonon transport equatio...
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Manifold Learning and Nonlinear Homogenization
We describe an efficient domain decompositionbased framework for nonlin...
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Random Coordinate Underdamped Langevin Monte Carlo
The Underdamped Langevin Monte Carlo (ULMC) is a popular Markov chain Mo...
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Random Coordinate Langevin Monte Carlo
Langevin Monte Carlo (LMC) is a popular Markov chain Monte Carlo samplin...
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Langevin Monte Carlo: random coordinate descent and variance reduction
Sampling from a logconcave distribution function on ℝ^d (with d≫ 1) is ...
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PAC Model Checking of BlackBox ContinuousTime Dynamical Systems
In this paper we present a novel model checking approach to finitetime ...
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A Survey on Machine Reading Comprehension: Tasks, Evaluation Metrics, and Benchmark Datasets
Machine Reading Comprehension (MRC) is a challenging NLP research field ...
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Variance reduction for Langevin Monte Carlo in high dimensional sampling problems
Sampling from a logconcave distribution function is one core problem th...
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Security Improvements of Several Basic Quantum Private Query Protocols with O(log N) Communication Complexity
New quantum private database (with N elements) query protocols are prese...
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Nonrecurrent Traffic Congestion Detection with a Coupled Scalable Bayesian Robust Tensor Factorization Model
Nonrecurrent traffic congestion (NRTC) usually brings unexpected delays...
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Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds
Ensemble Kalman Inversion (EnKI), originally derived from Enseble Kalman...
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Semiclassical limit for the varyingmass Schrödinger equation with random inhomogeneities
The varyingmass Schrödinger equation (VMSE) has been successfully appli...
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Guaranteed Lower Eigenvalue Bound of Steklov Operator with Conforming Finite Element Methods
For the eigenvalue problem of the Steklov differential operator, by foll...
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Ensemble Kalman Sampling: meanfield limit and convergence analysis
Ensemble Kalman sampling (EKS) is a method to find i.i.d. samples from a...
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Error Lower Bounds of Constant Stepsize Stochastic Gradient Descent
Stochastic Gradient Descent (SGD) plays a central role in modern machine...
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Schwarz iteration method for elliptic equation with rough media based on random sampling
We propose a computationally efficient Schwarz method for elliptic equat...
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Structured random sketching for PDE inverse problems
For an overdetermined system Ax≈b with A and b given, the leastsquare (...
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Meanfield limit and numerical analysis for Ensemble Kalman Inversion: linear setting
Ensemble Kalman inversion (EKI) is a method introduced in [14] to find s...
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Error analysis of an asymptotic preserving dynamical lowrank integrator for the multiscale radiative transfer equation
Dynamical lowrank algorithm are a class of numerical methods that compu...
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Private reputation retrieval in public  a privacyaware announcement scheme for VANETs
An announcement scheme is a system that facilitates vehicles to broadcas...
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Qin Li
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