Search Results for author: Jerry Zhijian Yang

Found 6 papers, 1 papers with code

Deep Conditional Generative Learning: Model and Error Analysis

1 code implementation2 Feb 2024 Jinyuan Chang, Zhao Ding, Yuling Jiao, Ruoxuan Li, Jerry Zhijian Yang

We introduce an Ordinary Differential Equation (ODE) based deep generative method for learning a conditional distribution, named the Conditional Follmer Flow.

Density Estimation

Semi-Supervised Deep Sobolev Regression: Estimation, Variable Selection and Beyond

no code implementations9 Jan 2024 Zhao Ding, Chenguang Duan, Yuling Jiao, Jerry Zhijian Yang

We propose SDORE, a semi-supervised deep Sobolev regressor, for the nonparametric estimation of the underlying regression function and its gradient.

regression Variable Selection

Provable Advantage of Parameterized Quantum Circuit in Function Approximation

no code implementations11 Oct 2023 Zhan Yu, Qiuhao Chen, Yuling Jiao, Yinan Li, Xiliang Lu, Xin Wang, Jerry Zhijian Yang

To achieve this, we utilize techniques from quantum signal processing and linear combinations of unitaries to construct PQCs that implement multivariate polynomials.

Quantum Machine Learning

Current density impedance imaging with PINNs

no code implementations24 Jun 2023 Chenguang Duan, Yuling Jiao, Xiliang Lu, Jerry Zhijian Yang

In this paper, we introduce CDII-PINNs, a computationally efficient method for solving CDII using PINNs in the framework of Tikhonov regularization.

GAS: A Gaussian Mixture Distribution-Based Adaptive Sampling Method for PINNs

no code implementations28 Mar 2023 Yuling Jiao, Di Li, Xiliang Lu, Jerry Zhijian Yang, Cheng Yuan

With the recent study of deep learning in scientific computation, the Physics-Informed Neural Networks (PINNs) method has drawn widespread attention for solving Partial Differential Equations (PDEs).

Incremental Learning

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