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20112022
most citedAn Efficient Inexact Symmetric Gauss-Seidel Based Majorized ADMM for High-Dimensional Convex Composite Conic Programming

109 citations

8 papers

q-fin.RM2022★ 8 cited

Measuring Tail Risks

Kan Chen, Tuoyuan Cheng

Value at risk (VaR) and expected shortfall (ES) are common high quantile-based risk measures adopted in financial regulations and risk management. In this paper, we propose a tail…

math.OC2015★ 57 cited

A Note on the Convergence of ADMM for Linearly Constrained Convex Optimization Problems

Liang Chen, Defeng Sun, Kim-Chuan Toh

This note serves two purposes. Firstly, we construct a counterexample to show that the statement on the convergence of the alternating direction method of multipliers (ADMM) for so…

math.OC2015★ 109 cited

An Efficient Inexact Symmetric Gauss-Seidel Based Majorized ADMM for High-Dimensional Convex Composite Conic Programming

Liang Chen, Defeng Sun, Kim-Chuan Toh

In this paper, we propose an inexact multi-block ADMM-type first-order method for solving a class of high-dimensional convex composite conic optimization problems to moderate accur…

math.NT2015★ 1 cited

Dense Packings from Algebraic Number Fields and Codes

Shantian Cheng

We introduce a new method from number fields and codes to construct dense packings in the Euclidean spaces. Via the canonical -embedding of arbitrary number field i…

econ.GN2015

Dynamic Games with Almost Perfect Information

Wei He, Yeneng Sun

This paper aims to solve two fundamental problems on finite or infinite horizon dynamic games with perfect or almost perfect information. Under some mild conditions, we prove (1) t…

math.OC2012★ 3 cited

A Rank-Corrected Procedure for Matrix Completion with Fixed Basis Coefficients

Weimin Miao, Shaohua Pan, Defeng Sun

For the problems of low-rank matrix completion, the efficiency of the widely-used nuclear norm technique may be challenged under many circumstances, especially when certain basis c…

stat.ME2012

Rejoinder to "Feature Matching in Time Series Modeling"

Yingcun Xia, Howell Tong

Rejoinder to "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

math.ST2011★ 33 cited

Feature Matching in Time Series Modeling

Yingcun Xia, Howell Tong

Using a time series model to mimic an observed time series has a long history. However, with regard to this objective, conventional estimation methods for discrete-time dynamical m…