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20172023
most citedNearly optimal bounds for the global geometric landscape of phase retrieval

10 citations · 27 across the 15 of their papers we have counts for

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Showing 2022Show all

8 papers · 1 filter

cs.CL2022★ 2 cited

Named Entity and Relation Extraction with Multi-Modal Retrieval

Xinyu Wang, Jiong Cai, Yong Jiang +3

Multi-modal named entity recognition (NER) and relation extraction (RE) aim to leverage relevant image information to improve the performance of NER and RE. Most existing efforts l…

quant-ph2022

Quantum state tomography via non-convex Riemannian gradient descent

Ming-Chien Hsu, En-Jui Kuo, Wei-Hsuan Yu +2

The recovery of an unknown density matrix of large size requires huge computational resources. The recent Factored Gradient Descent (FGD) algorithm and its variants achieved state-…

math.OC2022★ 2 cited

Tensor Completion via Tensor Train Based Low-Rank Quotient Geometry under a Preconditioned Metric

Jian-Feng Cai, Wen Huang, Haifeng Wang +1

This paper investigates the low-rank tensor completion problem, which is about recovering a tensor from partially observed entries. We consider this problem in the tensor train for…

math.AP2022

Approximation Theory of Wavelet Frame Based Image Restoration

Jian-Feng Cai, Jae Kyu Choi, Jianbin Yang

In this paper, we analyze the error estimate of a wavelet frame based image restoration method from degraded and incomplete measurements. We present the error between the underlyin…

math.NA2022

Two Stage Continuous Domain Regularization for Piecewise Constant Image Restoration

Jian-Feng Cai, Jae Kyu Choi, Chenchuan Zhou

The finite-rate-of-innovation (FRI) framework which corresponds a signal/image to a structured low-rank matrix is emerging as an alternative to the traditional sparse regularizatio…

math.AP2022

Approximation Theory of Total Variation Minimization for Data Completion

Jian-Feng Cai, Jae Kyu Choi, Ke Wei

Total variation (TV) minimization is one of the most important techniques in modern signal/image processing, and has wide range of applications. While there are numerous recent wor…

cs.IT2022★ 10 cited

Nearly optimal bounds for the global geometric landscape of phase retrieval

Jian-Feng Cai, Meng Huang, Dong Li +1

The phase retrieval problem is concerned with recovering an unknown signal from a set of magnitude-only measurements $y_j=|\langle \bf{a}_j,\bf{x} \rangle…

cs.CL2022★ 2 cited

DAMO-NLP at SemEval-2022 Task 11: A Knowledge-based System for Multilingual Named Entity Recognition

Xinyu Wang, Yongliang Shen, Jiong Cai +9

The MultiCoNER shared task aims at detecting semantically ambiguous and complex named entities in short and low-context settings for multiple languages. The lack of contexts makes…