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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
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Posts
IPAM Workshop: Geometry of Big Data
Published:
portfolio
Portfolio item number 1
Short description of portfolio item number 1
Portfolio item number 2
Short description of portfolio item number 2
publications
MCM 2014
Published in Github, 2014
This is our paper for The Mathematical Contest in Modeling where we won Meritorious Winner Awards in 2014
Recommended citation: Zhenzhen Li, Gaolei Li, Long Zhou.
Towards the optimal construction of a loss function without spurious local minima for solving quadratic equations
Published in revised on IEEE Transactions on Information Theory, Arxiv, 2018
The problem of finding a vector $x$ which obeys a set of quadratic equations. $ abs(a^{T}_k x)^2= y_k$, $k=1,2,⋯,m$, plays an important role in many applications. In this paper we consider the case when both $x$ and $a_k$ are real-valued vectors of length $n$. A new loss function is constructed for this problem, which combines the smooth quadratic loss function with an activation function. Under the Gaussian measurement model, we establish that with high probability the target solution $x$ is the unique local minimizer (up to a global phase factor) of the new loss function provided $m≳n$. Moreover, the loss function always has a negative directional curvature around its saddle points.
Recommended citation: Zhenzhen Li, Jian-Feng Cai, Ke Wei.
Working Paper: Another View of Nonconvex Problem Geometry
Published in Journal unknown, 2019
This paper is a working paper about another point of view of such nonconvex problem geometry property.
Working Paper: Sparse Phase Retrieval Under Optimal Sampling with Local Guarantee
Published in Jounal unknown, 2019
This is my current working paper focus on retrieving sparse signals under optimal sampling complexity. We design an algorithm for sparse phase retrieval and would provide theoretical guarantee for such algorithm, which would be the first practical local algorithm with theoretical guarantee for sparse phase retrieve. Although we may need an good initialization in latter work, we think this at least provide a great first step to such sparse phase retrieval open problem.
talks
Talk 1 on Relevant Topic in Your Field
Published:
This is a description of your talk, which is a markdown files that can be all markdown-ified like any other post. Yay markdown!
Conference Proceeding talk 3 on Relevant Topic in Your Field
Published:
This is a description of your conference proceedings talk, note the different field in type. You can put anything in this field.
teaching
Teaching experience 11
Undergraduate course, University 11, Department, 2014
This is a description of a teaching experience. You can use markdown like any other post.
Teaching experience 2
Workshop, University 1, Department, 2015
This is a description of a teaching experience. You can use markdown like any other post.