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Research Output 1986 2019

2019

Primal-dual optimization algorithms over Riemannian manifolds: an iteration complexity analysis

Zhang, J., Ma, S. & Zhang, S., Jan 1 2019, In : Mathematical Programming.

Research output: Contribution to journalArticle

Primal-dual Algorithm
Complexity Analysis
Riemannian Manifold
Optimization Algorithm
Tensor
3 Citations (Scopus)

Randomized Primal–Dual Proximal Block Coordinate Updates

Gao, X., Xu, Y. Y. & Zhang, S., Jun 5 2019, In : Journal of the Operations Research Society of China. 7, 2, p. 205-250 46 p.

Research output: Contribution to journalArticle

Rate of convergence
Multiplier
Convexity
Convergence rate
Stochastic approximation
4 Citations (Scopus)

Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis

Jiang, B., Lin, T., Ma, S. & Zhang, S., Jan 15 2019, In : Computational Optimization and Applications. 72, 1, p. 115-157 43 p.

Research output: Contribution to journalArticle

Nonsmooth Optimization
Nonconvex Optimization
Complexity Analysis
Optimization Algorithm
Stationary Solutions
2 Citations (Scopus)

Tightness of a new and enhanced semidefinite relaxation for MIMO detection

Lu, C., Liu, Y. F., Zhang, W. Q. & Zhang, S., Jan 1 2019, In : SIAM Journal on Optimization. 29, 1, p. 719-742 24 p.

Research output: Contribution to journalArticle

Semidefinite Relaxation
Tightness
Multiple-input multiple-output (MIMO)
Quadratic programming
Communication
2018
5 Citations (Scopus)
Convex optimization
Constrained optimization
Constrained Optimization
Convex Optimization
Updating
1 Citation (Scopus)

A sparse completely positive relaxation of the modularity maximization for community detection

Zhang, J., Liu, H., Wen, Z. & Zhang, S., Jan 1 2018, In : SIAM Journal on Scientific Computing. 40, 5, p. A3091-A3200

Research output: Contribution to journalArticle

Community Detection
Modularity
Computational complexity
Probability Bounds
Misclassification Rate
3 Citations (Scopus)

Global Convergence of Unmodified 3-Block ADMM for a Class of Convex Minimization Problems

Lin, T., Ma, S. & Zhang, S., Jul 1 2018, In : Journal of Scientific Computing. 76, 1, p. 69-88 20 p.

Research output: Contribution to journalArticle

Method of multipliers
Alternating Direction Method
Convex Minimization
Block Method
Global Convergence
14 Citations (Scopus)

Highly accurate model for prediction of lung nodule malignancy with CT scans

Causey, J. L., Zhang, J., Ma, S., Jiang, B., Qualls, J. A., Politte, D. G., Prior, F., Zhang, S. & Huang, X., Dec 1 2018, In : Scientific reports. 8, 1, 9286.

Research output: Contribution to journalArticle

Tomography
Lung
Neoplasms
Computational Biology
Early Detection of Cancer

Low-M-Rank Tensor Completion and Robust Tensor PCA

Jiang, B., Ma, S. & Zhang, S., Dec 1 2018, In : IEEE Journal on Selected Topics in Signal Processing. 12, 6, p. 1390-1404 15 p., 8477031.

Research output: Contribution to journalArticle

Tensors
Singular value decomposition
1 Citation (Scopus)

Online learning with non-convex losses and non-stationary regret

Gao, X., Li, X. & Zhang, S., Jan 1 2018, p. 235-243. 9 p.

Research output: Contribution to conferencePaper

Regret
Online Learning
Loss Function
Descent Algorithm
Gradient Algorithm
4 Citations (Scopus)

On the Information-Adaptive Variants of the ADMM: An Iteration Complexity Perspective

Gao, X., Jiang, B. & Zhang, S., Jul 1 2018, In : Journal of Scientific Computing. 76, 1, p. 327-363 37 p.

Research output: Contribution to journalArticle

Iteration
Computational complexity
Computational Complexity
Gradient
Optimization Model
2017
13 Citations (Scopus)

An Extragradient-Based Alternating Direction Method for Convex Minimization

Lin, T., Ma, S. & Zhang, S., Feb 1 2017, In : Foundations of Computational Mathematics. 17, 1, p. 35-59 25 p.

Research output: Contribution to journalArticle

Alternating Direction Method
Convex Minimization
Proximal Mapping
Convex function
Statistics
10 Citations (Scopus)
Multiplier
Gradient
Optimization model
Projection method
7 Citations (Scopus)

On Cones of Nonnegative Quartic Forms

Jiang, B., Li, Z. & Zhang, S., Feb 1 2017, In : Foundations of Computational Mathematics. 17, 1, p. 161-197 37 p.

Research output: Contribution to journalArticle

Quartic
Cones
Cone
Non-negative
Polynomials

On new classes of nonnegative symmetric tensors

Chen, B., He, S., Li, Z. & Zhang, S., Jan 1 2017, In : SIAM Journal on Optimization. 27, 1, p. 292-318 27 p.

Research output: Contribution to journalArticle

Tensors
Tensor
Non-negative
Polynomials
Quartic
5 Citations (Scopus)

Tensor and its tucker core: The invariance relationships

Jiang, B., Yang, F. & Zhang, S., May 1 2017, In : Numerical Linear Algebra with Applications. 24, 3, e2086.

Research output: Contribution to journalArticle

Invariance
Tensors
Tensor
Parallel Factor Analysis
Analogue
2016
11 Citations (Scopus)

A smoothing SQP framework for a class of composite Lq minimization over polyhedron

Liu, Y. F., Ma, S., Dai, Y. H. & Zhang, S., Jul 1 2016, In : Mathematical Programming. 158, 1-2, p. 467-500 34 p.

Research output: Contribution to journalArticle

Polyhedron
Smoothing
Composite
Signal reconstruction
Quadratic programming
6 Citations (Scopus)

Characterizing real-valued multivariate complex polynomials and their symmetric tensor representations

Jiang, B., Li, Z. & Zhang, S., Jan 1 2016, In : SIAM Journal on Matrix Analysis and Applications. 37, 1, p. 381-408 28 p.

Research output: Contribution to journalArticle

Complex Polynomials
Multivariate Polynomials
Tensor
Eigenvector
Eigenvalue
14 Citations (Scopus)

Iteration Complexity Analysis of Multi-block ADMM for a Family of Convex Minimization Without Strong Convexity

Lin, T., Ma, S. & Zhang, S., Oct 1 2016, In : Journal of Scientific Computing. 69, 1, p. 52-81 30 p.

Research output: Contribution to journalArticle

Method of multipliers
Alternating Direction Method
Convex Minimization
Multiblock
Block Method
16 Citations (Scopus)

Local linear convergence of ISTA and FISTA on the LASSO problem

Tao, S., Boley, D. L. & Zhang, S., Jan 1 2016, In : SIAM Journal on Optimization. 26, 1, p. 313-336 24 p.

Research output: Contribution to journalArticle

Linear Convergence
Local Convergence
Heuristic algorithms
Spectrum analysis
Convergence Rate
2 Citations (Scopus)

SparRec: An effective matrix completion framework of missing data imputation for GWAS

Jiang, B., Ma, S., Causey, J., Qiao, L., Hardin, M. P., Bitts, I., Johnson, D., Zhang, S. & Huang, X., Oct 20 2016, In : Scientific Reports. 6, 35534.

Research output: Contribution to journalArticle

Genome-Wide Association Study
Single Nucleotide Polymorphism
Cluster Analysis
Meta-Analysis
Sample Size
2015
5 Citations (Scopus)

Big data - A 21st century science Maginot Line? No-boundary thinking: Shifting from the big data paradigm

Huang, X., Jennings, S. F., Bruce, B., Buchan, A., Cai, L., Chen, P., Cramer, C. L., Guan, W., Hilgert, U. K. K., Jiang, H., Li, Z., McClure, G., McMullen, D. F., Nanduri, B., Perkins, A., Rekepalli, B., Salem, S., Specker, J., Walker, K., Wunsch, D. & 5 others, Xiong, D., Zhang, S., Zhang, Y., Zhao, Z. & Moore, J. H., Jan 8 2015, In : BioData Mining. 8, 1, 7.

Research output: Contribution to journalReview article

Paradigm
Line
Research Personnel
Big data
Silver
1 Citation (Scopus)

Convergence of common proximal methods for ℓ1-regularized least squares

Tao, S., Boley, D. L. & Zhang, S., Jan 1 2015, IJCAI 2015 - Proceedings of the 24th International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence, Vol. 2015-January. p. 3849-3855 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Spectrum analysis
9 Citations (Scopus)

On convergence of the maximum block improvement method

Li, Z., Uschmajew, A. & Zhang, S., Jan 1 2015, In : SIAM Journal on Optimization. 25, 1, p. 210-233 24 p.

Research output: Contribution to journalArticle

Linear Convergence
Tensors
Optimization Model
Tensor
Power Method
7 Citations (Scopus)

On optimal low rank Tucker approximation for tensors: the case for an adjustable core size

Chen, B., Li, Z. & Zhang, S., Aug 25 2015, In : Journal of Global Optimization. 62, 4, p. 811-832 22 p.

Research output: Contribution to journalArticle

Tensors
Tensor
Higher-order Tensor
Tensor Rank
Gene Expression Analysis
47 Citations (Scopus)

On the global linear convergence of the ADMM with multiblock variables

Lin, T., Ma, S. & Zhang, S., Jan 1 2015, In : SIAM Journal on Optimization. 25, 3, p. 1478-1497 20 p.

Research output: Contribution to journalArticle

Method of multipliers
Alternating Direction Method
Multiblock
Linear Convergence
Convex optimization
35 Citations (Scopus)

On the Sublinear Convergence Rate of Multi-block ADMM

Lin, T. Y., Ma, S. Q. & Zhang, S., Sep 13 2015, In : Journal of the Operations Research Society of China. 3, 3, p. 251-274 24 p.

Research output: Contribution to journalArticle

Multiplier
Rate of convergence
Penalty
Convergence rate
Convexity
4 Citations (Scopus)

SPARCoC: A new framework for molecular pattern discovery and cancer gene identification

Ma, S., Johnson, D., Ashby, C., Xiong, D., Cramer, C. L., Moore, J. H., Zhang, S. & Huang, X., Mar 13 2015, In : PloS one. 10, 3, e0117135.

Research output: Contribution to journalArticle

Neoplasm Genes
Cluster Analysis
Genes
Gene Expression Profiling
adenocarcinoma
22 Citations (Scopus)

Tensor principal component analysis via convex optimization

Jiang, B., Ma, S. & Zhang, S., Jan 1 2015, In : Mathematical Programming. 150, 2, p. 423-457 35 p.

Research output: Contribution to journalArticle

Convex optimization
Convex Optimization
Principal component analysis
Principal Component Analysis
Tensors
2014
19 Citations (Scopus)

Alternating direction method of multipliers for real and complex polynomial optimization models

Jiang, B., Ma, S. & Zhang, S., Jan 1 2014, In : Optimization. 63, 6, p. 883-898 16 p.

Research output: Contribution to journalArticle

Method of multipliers
Alternating Direction Method
Complex Polynomials
Polynomial Model
Optimization Model
7 Citations (Scopus)

A network airline revenue management framework based on decomposition by origins and destinations

Birbil, I., Frenk, J. B. G., Gromicho, J. A. S. & Zhang, S., Aug 1 2014, In : Transportation Science. 48, 3, p. 313-333 21 p.

Research output: Contribution to journalArticle

revenue
Decomposition
management
flight
Mathematical programming
7 Citations (Scopus)

Approximation methods for complex polynomial optimization

Jiang, B., Li, Z. & Zhang, S., Jan 1 2014, In : Computational Optimization and Applications. 59, 1-2, p. 219-248 30 p.

Research output: Contribution to journalArticle

Complex Polynomials
Approximation Methods
Polynomials
Approximation Algorithms
Worst-case Performance
3 Citations (Scopus)

Inhomogeneous polynomial optimization over a convex set: An approximation approach

He, S., Li, Z. & Zhang, S., Jan 1 2014, In : Mathematics of Computation. 84, 292, p. 715-741 27 p.

Research output: Contribution to journalArticle

Convex Sets
Polynomial-time Algorithm
Approximation Algorithms
Worst-case Performance
Compact Convex Set
3 Citations (Scopus)

Moments tensors, Hilbert's identity, and k-wise uncorrelated random variables

Jiang, B., He, S., Li, Z. & Zhang, S., Jan 1 2014, In : Mathematics of Operations Research. 39, 3, p. 775-788 14 p.

Research output: Contribution to journalArticle

Random variables
Hilbert
Tensors
Tensor
Random variable

On distributional robust probability functions and their computations

Wong, M. H. & Zhang, S., Feb 16 2014, In : European Journal of Operational Research. 233, 1, p. 23-33 11 p.

Research output: Contribution to journalArticle

Probability function
Moment
Probability Distribution Function
Risk Management
Risk management
9 Citations (Scopus)

Probability bounds for polynomial functions in random variables

He, S., Jiang, B., Li, Z. & Zhang, S., Jan 1 2014, In : Mathematics of Operations Research. 39, 3, p. 889-907 19 p.

Research output: Contribution to journalArticle

Probability Bounds
Random Sampling
Polynomial function
Random variables
Random variable
2013
89 Citations (Scopus)

Ambiguity function shaping for cognitive radar via complex quartic optimization

Aubry, A., De Maio, A., Jiang, B. & Zhang, S., Oct 31 2013, In : IEEE Transactions on Signal Processing. 61, 22, p. 5603-5619 17 p., 6563125.

Research output: Contribution to journalArticle

Radar
Polynomials
Bins
Tensors
11 Citations (Scopus)

Approximation Algorithms for Discrete Polynomial Optimization

He, S., Li, Z. & Zhang, S., Jan 1 2013, In : Journal of the Operations Research Society of China. 1, 1, p. 3-36 34 p.

Research output: Contribution to journalArticle

Polynomials
Approximation algorithms
Optimization model
Approximation
Neural networks
5 Citations (Scopus)

Computing best bounds for nonlinear risk measures with partial information

Wong, M. H. & Zhang, S., Mar 1 2013, In : Insurance: Mathematics and Economics. 52, 2, p. 204-212 9 p.

Research output: Contribution to journalArticle

Risk Measures
Partial Information
Fractional Polynomials
Extreme Events
Robust Optimization
28 Citations (Scopus)

Lorentz-positive maps and quadratic matrix inequalities with applications to robust MISO transmit beamforming

Huang, Y., Palomar, D. P. & Zhang, S., Feb 18 2013, In : IEEE Transactions on Signal Processing. 61, 5, p. 1121-1130 10 p., 6359871.

Research output: Contribution to journalArticle

Beamforming
Cones
Radio systems
Channel state information
Cognitive radio
7 Citations (Scopus)

No-boundary thinking in bioinformatics research

Huang, X., Bruce, B., Buchan, A., Congdon, C. B., Cramer, C. L., Jennings, S. F., Jiang, H., Li, Z., McClure, G., McMullen, R., Moore, J. H., Nanduri, B., Peckham, J., Perkins, A., Polson, S. W., Rekepalli, B., Salem, S., Specker, J., Wunsch, D., Xiong, D. & 2 others, Zhang, S. & Zhao, Z., Nov 12 2013, In : BioData Mining. 6, 1, 19.

Research output: Contribution to journalReview article

Bioinformatics
Computational Biology
Research
Computational Analysis
Infrastructure
1 Citation (Scopus)

On a generalized Cournot oligopolistic competition game

He, S., Wang, X. & Zhang, S., Aug 1 2013, In : Journal of Global Optimization. 56, 4, p. 1335-1345 11 p.

Research output: Contribution to journalArticle

Game
Resources
Sales
Price of Anarchy
Competition Model
Global optimization
Global Optimization
Optimization Techniques
Optimization techniques
10 Citations (Scopus)

Sparse solutions to random standard quadratic optimization problems

Chen, X., Peng, J. & Zhang, S., Oct 1 2013, In : Mathematical Programming. 141, 1-2, p. 273-293 21 p.

Research output: Contribution to journalArticle

Quadratic Optimization
Optimization Problem
Q-matrix
Exponential distribution
Uniform distribution
2012
2 Citations (Scopus)

A cognitive approach for ambiguity function shaping

Aubry, A., De Maio, A., Jiang, B. & Zhang, S., Oct 12 2012, 2012 IEEE 7th Sensor Array and Multichannel Signal Processing Workshop, SAM 2012. p. 41-44 4 p. 6250527

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Polynomials
5 Citations (Scopus)

A unified adaptive co-identification framework for high-D expression data

Zhang, S., Wang, K., Ashby, C., Chen, B. & Huang, X., Nov 16 2012, Pattern Recognition in Bioinformatics - 7th IAPR International Conference, PRIB 2012, Proceedings. p. 59-70 12 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 7632 LNBI).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Genes
Clustering
High-dimensional
Gene
Arabidopsis
1 Citation (Scopus)

Lorentz-positive mapswith applications to robust MISO downlink beamforming

Huang, Y., Palomar, D. P. & Zhang, S., Oct 23 2012, 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings. p. 2801-2804 4 p. 6288499. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Beamforming
Cones
Channel state information
Linear matrix inequalities
Power transmission
65 Citations (Scopus)

Maximum block improvement and polynomial optimization

Chen, B., He, S., Li, Z. & Zhang, S., Jun 4 2012, In : SIAM Journal on Optimization. 22, 1, p. 87-107 21 p.

Research output: Contribution to journalArticle

Homogeneous Polynomials
Polynomials
Tensors
Polynomial
Tensor
9 Citations (Scopus)

Polymatroid optimization, submodularity, and joint replenishment games

He, S., Zhang, J. & Zhang, S., Jan 1 2012, In : Operations Research. 60, 1, p. 128-137 10 p.

Research output: Contribution to journalArticle

Warehouses
Cost functions
Costs
Cooperative game
Submodularity
65 Citations (Scopus)

Robust multicast beamforming for spectrum sharing-based cognitive radios

Huang, Y., Li, Q., Ma, W. K. & Zhang, S., Jan 1 2012, In : IEEE Transactions on Signal Processing. 60, 1, p. 527-533 7 p., 6026260.

Research output: Contribution to journalArticle

Cognitive radio
Beamforming
Convex optimization
Channel state information
Approximation algorithms