10 citations · 27 across the 15 of their papers we have counts for
15 papers
Restoration Guarantee of Image Inpainting via Low Rank Patch Matrix Completion
Jian-Feng Cai, Jae Kyu Choi, Jingyang Li +1
In recent years, patch-based image restoration approaches have demonstrated superior performance compared to conventional variational methods. This paper delves into the mathematic…
SeqGPT: An Out-of-the-box Large Language Model for Open Domain Sequence Understanding
Tianyu Yu, Chengyue Jiang, Chao Lou +12
Large language models (LLMs) have shown impressive ability for open-domain NLP tasks. However, LLMs are sometimes too footloose for natural language understanding (NLU) tasks which…
Improving Text Matching in E-Commerce Search with A Rationalizable, Intervenable and Fast Entity-Based Relevance Model
Jiong Cai, Yong Jiang, Yue Zhang +10
Discovering the intended items of user queries from a massive repository of items is one of the main goals of an e-commerce search system. Relevance prediction is essential to the…
Online Tensor Learning: Computational and Statistical Trade-offs, Adaptivity and Optimal Regret
Jingyang Li, Jian-Feng Cai, Yang Chen +1
Large tensor learning algorithms are typically computationally expensive and require storing a vast amount of data. In this paper, we propose a unified online Riemannian gradient d…
DAMO-NLP at SemEval-2023 Task 2: A Unified Retrieval-augmented System for Multilingual Named Entity Recognition
Zeqi Tan, Shen Huang, Zixia Jia +8
The MultiCoNER \RNum{2} shared task aims to tackle multilingual named entity recognition (NER) in fine-grained and noisy scenarios, and it inherits the semantic ambiguity and low-c…
Interlacing Polynomial Method for the Column Subset Selection Problem
Jian-Feng Cai, Zhiqiang Xu, Zili Xu
This paper investigates the spectral norm version of the column subset selection problem. Given a matrix and a positive integer $k\leq\text{ra…
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…
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-…
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…
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…
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…
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…
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…
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…
CRF Autoencoder for Unsupervised Dependency Parsing
Jiong Cai, Yong Jiang, Kewei Tu
Unsupervised dependency parsing, which tries to discover linguistic dependency structures from unannotated data, is a very challenging task. Almost all previous work on this task f…