4 citations · 5 across the 6 of their papers we have counts for
10 papers
Optimal-Degree Polynomial Approximations for Exponentials and Gaussian Kernel Density Estimation
Amol Aggarwal, Josh Alman
For any real numbers and and function , let denote the minimum degree of a polynomial…
Kronecker Products, Low-Depth Circuits, and Matrix Rigidity
Josh Alman
For a matrix and a positive integer , the rank rigidity of is the smallest number of entries of which one must change to make its rank at most . There are man…
Algorithms and Hardness for Linear Algebra on Geometric Graphs
Josh Alman, Timothy Chu, Aaron Schild +1
For a function , and a set of points, the $\mathsf{K…
Metric Transforms and Low Rank Matrices via Representation Theory of the Real Hyperrectangle
Josh Alman, Timothy Chu, Gary Miller +3
In this paper, we develop a new technique which we call representation theory of the real hyperrectangle, which describes how to compute the eigenvectors and eigenvalues of certain…
Faster Update Time for Turnstile Streaming Algorithms
Josh Alman, Huacheng Yu
In this paper, we present a new algorithm for maintaining linear sketches in turnstile streams with faster update time. As an application, we show that \texttt{Count} sket…
Limits on the Universal Method for Matrix Multiplication
Josh Alman
In this work, we prove limitations on the known methods for designing matrix multiplication algorithms. Alman and Vassilevska Williams recently defined the Universal Method, which…