I am a machine learning researcher currently working as an AI Resident at Google. My research broadly focuses on ensuring that optimization methods for machine learning are efficient and robust.
In my free time I often bake. You can find recipes I am fond of in my dissertation (no, really).
My Google Scholar page can be found here. Below is a list of my preprints and publications, separated by subject.
Machine Learning and Optimization
Convergence and Margin of Adversarial Training on Separable Data. Zachary Charles, Shashank Rajput, Stephen Wright, Dimitris Papailiopoulos. [arXiv]
DETOX: A Redundancy-based Framework for Faster and More Robust Gradient Aggregation. Shashank Rajput, Hongyi Wang, Zachary Charles, Dimitris Papailiopoulos. [arXiv]
ErasureHead: Distributed Gradient Descent without Delays Using Approximate Gradient Codes. Hongyi Wang, Zachary Charles, Dimitris Papailiopoulos. [arXiv]
Approximate Gradient Coding via Sparse Random Graphs. Zachary Charles, Dimitris Papailiopoulos, Jordan Ellenberg. [arXiv]
Applied and Computational Mathematics
Distributions of the Number of Solutions to the Network Power Flow Equations. Alisha Zachariah, Zachary Charles, Nigel Boston, Bernard Lesieutre. ISCAS, 2018. [link]
Efficiently Finding All Power Flow Solutions to Tree Networks. Alisha Zachariah, Zachary Charles. Allerton, 2017. [link]
Nonpositive Eigenvalues of Hollow, Symmetric, Nonnegative Matrices. Zachary Charles, Miriam Farber, Charles R Johnson, Lee Kennedy-Shaffer. SIAM Journal on Matrix Analysis and Applications, 2013. [link]
Nonpositive Eigenvalues of the Adjacency Matrix and Lower Bounds for Laplacian Eigenvalues. Zachary Charles, Miriam Farber, Charles R Johnson, Lee Kennedy-Shaffer. Discrete Mathematics, 2013. [link]
The Relation Between the Diagonal Entries and the Eigenvalues of a Symmetric Matrix, Based upon the Sign Pattern of its Off-Diagonal Entries. Zachary Charles, Miriam Farber, Charles R Johnson, Lee Kennedy-Shaffer. Linear Algebra and its Applications, 2013. [link]
Algebraic and Geometric Structure in Machine Learning and Optimization Algorithms. Zachary Charles. University of Wisconsin-Madison PhD thesis, 2017. [link]