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09/10/2023
Numerical reconstruction of the kinetic chemotaxis kernel from macroscopic measurement, wellposedness and illposedness
Directed bacterial motion due to external stimuli (chemotaxis) can, on t...
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08/21/2023
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems
Koopman operators linearize nonlinear dynamical systems, making their sp...
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06/03/2023
Correcting auto-differentiation in neural-ODE training
Does the use of auto-differentiation yield reasonable updates to deep ne...
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05/29/2023
Suppressing Instability in a Vlasov-Poisson System by an External Electric Field Through Constrained Optimization
Fusion energy offers the potential for the generation of clean, safe, an...
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05/21/2023
On optimal bases for multiscale PDEs and Bayesian homogenization
PDE solutions are numerically represented by basis functions. Classical ...
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05/06/2023
Differential-Equation Constrained Optimization With Stochasticity
Most inverse problems from physical sciences are formulated as PDE-const...
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03/13/2023
Evaluation of wait time saving effectiveness of triage algorithms
In the past decade, Artificial Intelligence (AI) algorithms have made pr...
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01/25/2023
Delegated variational quantum algorithms based on quantum homomorphic encryption
Variational quantum algorithms (VQAs) are considered as one of the most ...
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12/29/2022
Inference of interaction kernels in mean-field models of opinion dynamics
In models of opinion dynamics, many parameters – either in the form of c...
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12/12/2022
Solving the Wide-band Inverse Scattering Problem via Equivariant Neural Networks
This paper introduces a novel deep neural network architecture for solvi...
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12/12/2022
Spatial-temporal traffic modeling with a fusion graph reconstructed by tensor decomposition
Accurate spatial-temporal traffic flow forecasting is essential for help...
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11/04/2022
A Deep Learning Approach to Generating Photospheric Vector Magnetograms of Solar Active Regions for SOHO/MDI Using SDO/HMI and BBSO Data
Solar activity is usually caused by the evolution of solar magnetic fiel...
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10/08/2022
Inferring Line-of-Sight Velocities and Doppler Widths from Stokes Profiles of GST/NIRIS Using Stacked Deep Neural Networks
Obtaining high-quality magnetic and velocity fields through Stokes inver...
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09/28/2022
Solar Flare Index Prediction Using SDO/HMI Vector Magnetic Data Products with Statistical and Machine Learning Methods
Solar flares, especially the M- and X-class flares, are often associated...
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09/25/2022
Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation
Can Monte Carlo (MC) solvers be directly used in gradient-based methods ...
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08/02/2022
Improvements to enhance robustness of third-order scale-independent WENO-Z schemes
Although there are many improvements to WENO3-Z that target the achievem...
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04/01/2022
Computation of optimal beams in weak turbulence
When an optical beam propagates through a turbulent medium such as the a...
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03/27/2022
Predicting Solar Energetic Particles Using SDO/HMI Vector Magnetic Data Products and a Bidirectional LSTM Network
Solar energetic particles (SEPs) are an essential source of space radiat...
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01/18/2022
Second-order diffusion limit for the phonon transport equation-asymptotics and numerics
We investigate the numerical implementation of the limiting equation for...
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01/10/2022
High-frequency limit of the inverse scattering problem: asymptotic convergence from inverse Helmholtz to inverse Liouville
We investigate the asymptotic relation between the inverse problems rely...
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11/25/2021
Low-rank approximation for multiscale PDEs
Historically, analysis for multiscale PDEs is largely unified while nume...
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11/03/2021
A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks
Neural networks are powerful tools for approximating high dimensional da...
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10/29/2021
Quasi-linear analysis of dispersion relation preservation for nonlinear schemes
In numerical simulations of complex flows with discontinuities, it is ne...
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10/19/2021
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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10/06/2021
On the Global Convergence of Gradient Descent for multi-layer ResNets in the mean-field regime
Finding the optimal configuration of parameters in ResNet is a nonconvex...
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07/28/2021
Third-order scale-independent WENO-Z scheme achieving optimal order at critical points
As we found previously, when critical points occur within grid intervals...
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07/16/2021
Tracing Halpha Fibrils through Bayesian Deep Learning
We present a new deep learning method, dubbed FibrilNet, for tracing chr...
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05/30/2021
Overparameterization of deep ResNet: zero loss and mean-field analysis
Finding parameters in a deep neural network (NN) that fit training data ...
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05/02/2021
Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion
In computational PDE-based inverse problems, a finite amount of data is ...
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05/02/2021
Dynamic Routing for Traffic Flow through Multi-agent Systems
Routing strategies for traffics and vehicles have been historically stud...
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02/08/2021
Constrained Ensemble Langevin Monte Carlo
The classical Langevin Monte Carlo method looks for i.i.d. samples from ...
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02/07/2021
SR-Affine: High-quality 3D hand model reconstruction from UV Maps
Under various poses and heavy occlusions,3D hand model reconstruction ba...
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01/27/2021
On developing piecewise rational mapping with fine regulation capability for WENO schemes
On the idea of mapped WENO-JS scheme, properties of mapping methods are ...
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12/26/2020
Semi-classical 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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11/25/2020
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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11/01/2020
Manifold Learning and Nonlinear Homogenization
We describe an efficient domain decomposition-based framework for nonlin...
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10/22/2020
Random Coordinate Underdamped Langevin Monte Carlo
The Underdamped Langevin Monte Carlo (ULMC) is a popular Markov chain Mo...
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10/03/2020
Random Coordinate Langevin Monte Carlo
Langevin Monte Carlo (LMC) is a popular Markov chain Monte Carlo samplin...
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07/26/2020
Langevin Monte Carlo: random coordinate descent and variance reduction
Sampling from a log-concave distribution function on ℝ^d (with d≫ 1) is ...
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07/17/2020
PAC Model Checking of Black-Box Continuous-Time Dynamical Systems
In this paper we present a novel model checking approach to finite-time ...
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06/21/2020
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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06/10/2020
Variance reduction for Langevin Monte Carlo in high dimensional sampling problems
Sampling from a log-concave distribution function is one core problem th...
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05/27/2020
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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05/10/2020
Non-recurrent Traffic Congestion Detection with a Coupled Scalable Bayesian Robust Tensor Factorization Model
Non-recurrent traffic congestion (NRTC) usually brings unexpected delays...
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03/04/2020
Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds
Ensemble Kalman Inversion (EnKI), originally derived from Enseble Kalman...
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02/12/2020
Semi-classical limit for the varying-mass Schrödinger equation with random inhomogeneities
The varying-mass Schrödinger equation (VMSE) has been successfully appli...
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01/24/2020
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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10/28/2019
Ensemble Kalman Sampling: mean-field limit and convergence analysis
Ensemble Kalman sampling (EKS) is a method to find i.i.d. samples from a...
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10/18/2019
Error Lower Bounds of Constant Step-size Stochastic Gradient Descent
Stochastic Gradient Descent (SGD) plays a central role in modern machine...
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10/04/2019