115 citations · 208 across the 17 of their papers we have counts for
17 papers
Distributed Matrix Multiplication with a Smaller Recovery Threshold through Modulo-based Approaches
Zhiquan Tan, Dingli Yuan, Zihao Wang +1
This paper considers the problem of calculating the matrix multiplication of two massive matrices and distributedly. We provide a modulo technique that ca…
Privacy-Preserving Polynomial Computing Over Distributed Data
Zhiquan Tan, Dingli Yuan, Zhongyi Huang
In this letter, we delve into a scenario where a user aims to compute polynomial functions using their own data as well as data obtained from distributed sources. To accomplish thi…
Generalized Simple Regenerating Codes: Trading Sub-packetization and Fault Tolerance
Zhengyi Jiang, Hao Shi, Zhongyi Huang +3
Maximum distance separable (MDS) codes have the optimal trade-off between storage efficiency and fault tolerance, which are widely used in distributed storage systems. As typical n…
Multiplexed Streaming Codes for Messages with Different Decoding Delays in Channel with Burst and Random Erasures
Dingli Yuan, Zhiquan Tan, Zhongyi Huang
In a real-time transmission scenario, messages are transmitted through a channel that is subject to packet loss. The destination must recover the messages within the required deadl…
Approximation and Generalization of DeepONets for Learning Operators Arising from a Class of Singularly Perturbed Problems
Ting Du, Zhongyi Huang, Ye Li
Singularly perturbed problems present inherent difficulty due to the presence of a thin boundary layer in its solution. To overcome this difficulty, we propose using deep operator…
Computation of a Unified Graph-Based Rate Optimization Problem
Deheng Yuan, Tao Guo, Zhongyi Huang +1
We define a graph-based rate optimization problem and consider its computation, which provides a unified approach to the computation of various theoretical limits, including the (c…
A Uniform Convergent Petrov-Galerkin method for a Class of Turning Point Problems
Li Feng, Zhongyi Huang
In this paper, we propose a numerical method for turning point problems in one dimension based on Petrov-Galerkin finite element method (PGFEM). We first give a priori estimate for…
Central limit theorem for the Sliced 1-Wasserstein distance and the max-Sliced 1-Wasserstein distance
Xianliang Xu, Zhongyi Huang
The Wasserstein distance has been an attractive tool in many fields. But due to its high computational complexity and the phenomenon of the curse of dimensionality in empirical est…
Seismic Tomography with Random Batch Gradient Reconstruction
Yixiao Hu, Lihui Chai, Zhongyi Huang +1
Seismic tomography solves high-dimensional optimization problems to image subsurface structures of Earth. In this paper, we propose to use random batch methods to construct the gra…
An iterative splitting method for pricing European options under the Heston model
Hongshan Li, Zhongyi Huang
In this paper, we propose an iterative splitting method to solve the partial differential equations in option pricing problems. We focus on the Heston stochastic volatility model a…
Artificial boundary method for the solution of pricing European options under the Heston model
Hongshan Li, Zhongyi Huang
This paper considers the valuation of a European call option under the Heston stochastic volatility model. We present the asymptotic solution to the option pricing problem in power…
A Bloch decomposition-based stochastic Galerkin method for quantum dynamics with a random external potential
Zhizhang Wu, Zhongyi Huang
In this paper, we consider the numerical solution of the one-dimensional Schrödinger equation with a periodic lattice potential and a random external potential. This is an importan…
Numerical simulations of X-rays Free Electron Lasers (XFEL)
Paolo Antonelli, Agissilaos Athanassoulis, Zhongyi Huang +1
We study a nonlinear Schrödinger equation which arises as an effective single particle model in X-ray Free Electron Lasers (XFEL). This equation appears as a first-principles model…
Gaussian Beam Methods for the Dirac Equation in the Semi-classical Regime
Hao Wu, Zhongyi Huang, Shi Jin +1
The Dirac equation is an important model in relativistic quantum mechanics. In the semi-classical regime , even a spatially spectrally accurate time splitting method \cite{H…
A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials
Zhongyi Huang, Shi Jin, Peter Markowich +1
We present a new numerical method for accurate computations of solutions to (linear) one dimensional Schrödinger equations with periodic potentials. This is a prominent model in so…
A time-splitting spectral scheme for the Maxwell-Dirac system
Zhongyi Huang, Shi Jin, Peter Markowich +2
We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the…
A Dynamic Atomistic-Continuum Method for the Simulation of Crystalline Materials
Weinan E, Zhongyi Huang
We present a coupled atomistic-continuum method for the modeling of defects and interface dynamics of crystalline materials. The method uses atomistic models such as molecular dyna…