no code implementations • 18 Jun 2024 • Z. T. Wang, Qiuhao Chen, Yuxuan Du, Z. H. Yang, Xiaoxia Cai, Kaixuan Huang, Jingning Zhang, Kai Xu, Jun Du, Yinan Li, Yuling Jiao, Xingyao Wu, Wu Liu, Xiliang Lu, Huikai Xu, Yirong Jin, Ruixia Wang, Haifeng Yu, S. P. Zhao
To effectively implement quantum algorithms on noisy intermediate-scale quantum (NISQ) processors is a central task in modern quantum technology.
1 code implementation • 11 Jun 2024 • HanQin Cai, Longxiu Huang, Xiliang Lu, Juntao You
This paper studies the robust Hankel recovery problem, which simultaneously removes the sparse outliers and fulfills missing entries from the partial observation.
1 code implementation • 15 Mar 2024 • Ziyang Xu, Keqin Peng, Liang Ding, DaCheng Tao, Xiliang Lu
Experiments across various prompts, PLMs, and benchmarks show that our approach can not only correct the overfitted performance caused by prompt bias, but also significantly improve the prompt retrieval capability (up to 10% absolute performance gain).
no code implementations • 19 Dec 2023 • Di wu, Yuling Jiao, Li Shen, Haizhao Yang, Xiliang Lu
In this paper, we establish a non-asymptotic estimation error of pessimistic offline RL using general neural network approximation with $\mathcal{C}$-mixing data regarding the structure of networks, the dimension of datasets, and the concentrability of data coverage, under mild assumptions.
no code implementations • 11 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.
no code implementations • 24 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.
no code implementations • 28 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).
no code implementations • 14 Apr 2022 • Qiuhao Chen, Yuxuan Du, Qi Zhao, Yuling Jiao, Xiliang Lu, Xingyao Wu
We systematically evaluate the performance of our proposal in compiling quantum operators with both inverse-closed and inverse-free universal basis sets.
no code implementations • 5 Apr 2022 • Bangti Jin, Xiyao Li, Xiliang Lu
Conductivity imaging represents one of the most important tasks in medical imaging.
no code implementations • 21 Nov 2021 • Peili Li, Yuling Jiao, Xiliang Lu, Lican Kang
In this work, we consider the algorithm to the (nonlinear) regression problems with $\ell_0$ penalty.
no code implementations • 18 Sep 2021 • Yuling Jiao, Dingwei Li, Min Liu, Xiliang Lu
Recovering sparse signals from observed data is an important topic in signal/imaging processing, statistics and machine learning.
no code implementations • 28 Feb 2021 • Yuling Jiao, Yanming Lai, Xiliang Lu, Fengru Wang, Jerry Zhijian Yang, Yuanyuan Yang
In this paper, we construct neural networks with ReLU, sine and $2^x$ as activation functions.
no code implementations • 11 Dec 2020 • Yuan Gao, Jian Huang, Yuling Jiao, Jin Liu, Xiliang Lu, Zhijian Yang
The key task in training is the estimation of the density ratios or differences that determine the residual maps.
no code implementations • 27 Jan 2020 • Jian Huang, Yuling Jiao, Lican Kang, Jin Liu, Yanyan Liu, Xiliang Lu, Yuanyuan Yang
Based on this KKT system, a built-in working set with a relatively small size is first determined using the sum of primal and dual variables generated from the previous iteration, then the primal variable is updated by solving a least-squares problem on the working set and the dual variable updated based on a closed-form expression.
no code implementations • 16 Jan 2020 • Jian Huang, Yuling Jiao, Lican Kang, Jin Liu, Yanyan Liu, Xiliang Lu
Feature selection is important for modeling high-dimensional data, where the number of variables can be much larger than the sample size.
no code implementations • 14 Jun 2019 • Jian-Feng Cai, Yuling Jiao, Xiliang Lu, Juntao You
Sparse phase retrieval plays an important role in many fields of applied science and thus attracts lots of attention.
no code implementations • 9 Oct 2018 • Jian Huang, Yuling Jiao, Xiliang Lu, Yueyong Shi, Qinglong Yang
We propose a semismooth Newton algorithm for pathwise optimization (SNAP) for the LASSO and Enet in sparse, high-dimensional linear regression.
no code implementations • 6 Sep 2018 • Xin-Xin Liu, Xiliang Lu, Huanfeng Shen, Qiangqiang Yuan, Liangpei Zhang
Destriping is a classical problem in remote sensing image processing.
no code implementations • 3 Mar 2014 • Yuling Jiao, Bangti Jin, Xiliang Lu
We develop a primal dual active set with continuation algorithm for solving the \ell^0-regularized least-squares problem that frequently arises in compressed sensing.
no code implementations • 4 Oct 2013 • Jian Huang, Yuling Jiao, Bangti Jin, Jin Liu, Xiliang Lu, Can Yang
In this paper, we consider the problem of recovering a sparse signal based on penalized least squares formulations.