Publications

My Google Scholar page can be found here. Below is a list of my preprints and publications, separated by subject.

Machine Learning and Optimization

A Geometric Perspective on the Transferability of Adversarial Directions
Zachary Charles, Harrison Rosenberg, Dimitris Papailiopoulos
In submission, 2018. [arXiv]

ErasureHead: Distributed Gradient Descent Without Delays Using Approximate Gradient Codes
Hongyi Wang, Zachary Charles, Dimitris Papailiopoulos
In submission, 2018.

ATOMO: Communication-efficient Learning via Atomic Sparsification
Hongyi Wang, Scott Sievert, Zachary Charles, Shengchao Liu, Stephen Wright, Dimitris Papailiopoulos
NIPS, 2018. [arXiv]

Stability and Generalization of Learning Algorithms that Converge to Global Optima
Zachary Charles, Dimitris Papailiopoulos
ICML, 2018. [link] [arXiv] [slides]

Approximate Gradient Coding via Sparse Random Graphs
Zachary Charles, Dimitris Papailiopoulos, Jordan Ellenberg
In submission, 2018. [arXiv]

DRACO: Robust Distributed Training via Redundant Gradients
Lingjiao Chen, Hongyi Wang, Zachary Charles, Dimitris Papailiopoulos
ICML, 2018. [link] [arXiv]

Gradient Coding Using the Stochastic Block Model
Zachary Charles, Dimitris Papailiopoulos
ISIT, 2018. [link] [arXiv] [slides]

Subspace Clustering with Missing and Corrupted Data
Zachary Charles, Amin Jalali, Rebecca Willett
IEEE DSW, 2018. [link] [arXiv] [slides]

Applied and Computational Mathematics

Exploiting Algebraic Structure in Global Optimization and the Belgian Chocolate Problem
Zachary Charles, Nigel Boston
Journal of Global Optimization, 2018. [link] [arXiv]

Generating Random Factored Ideals in Number Fields
Zachary Charles
Mathematics of Computation, 2018. [link] [arXiv]

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]

Dissertation

Algebraic and Geometric Structure in Machine Learning and Optimization Algorithms
Zachary Charles
University of Wisconsin-Madison PhD thesis. [link]