3 citations · 9 across the 6 of their papers we have counts for
6 papers
SGD Distributional Dynamics of Three Layer Neural Networks
Victor Luo, Yazhen Wang, Glenn Fung
With the rise of big data analytics, multi-layer neural networks have surfaced as one of the most powerful machine learning methods. However, their theoretical mathematical propert…
How Many Factors Influence Minima in SGD?
Victor Luo, Yazhen Wang
Stochastic gradient descent (SGD) is often applied to train Deep Neural Networks (DNNs), and research efforts have been devoted to investigate the convergent dynamics of SGD and mi…
Relieving and Readjusting Pythagoras
Victor Luo, Steven J. Miller
Bill James invented the Pythagorean expectation in the late 70's to predict a baseball team's winning percentage knowing just their runs scored and allowed. His original formula es…
Pythagoras at the Bat
Steven J. Miller, Taylor Corcoran, Jennifer Gossels +2
The Pythagorean formula is one of the most popular ways to measure the true ability of a team. It is very easy to use, estimating a team's winning percentage from the runs they sco…
Coordinate sum and difference sets of -dimensional modular hyperbolas
Amanda Bower, Ron Evans, Victor Luo +1
Many problems in additive number theory, such as Fermat's last theorem and the twin prime conjecture, can be understood by examining sums or differences of a set with itself. A fin…
Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles
Olivia Beckwith, Victor Luo, Steven J. Miller +2
The limiting distribution of eigenvalues of N x N random matrices has many applications. One of the most studied ensembles are real symmetric matrices with independent entries iidr…