12 citations · 17 across the 9 of their papers we have counts for
9 papers
A Scale Invariance Property of PCA
Jonathan Landy
The PCA algorithm is sensitive to changes in measurement scale. Measuring one variable of a system in inches rather than centimeters, say, alters both its principal axes and princi…
Renormalization Group-Motivated Learning
Jonathan Landy, Tsvi Tlusty, YeongKyu Lee +1
We introduce an RG-inspired coarse-graining for extracting the collective features of data. The key to successful coarse-graining lies in finding appropriate pairs of data sets. We…
Root finding via local measurement
Jonathan Landy, YongSeok Jho
We consider the problem of numerically identifying roots of a target function - under the constraint that we can only measure the derivatives of the function at a given point, not…
Stepwise regression for unsupervised learning
Jonathan Landy
I consider unsupervised extensions of the fast stepwise linear regression algorithm \cite{efroymson1960multiple}. These extensions allow one to efficiently identify highly-represen…
Shape-dependent bounds on cell growth rates
Jonathan Landy
I consider how cell shape and environmental geometry affect the rate of nutrient capture and the consequent maximum growth rate of a cell, focusing on rod-like species like \textit…
Statistical Mechanics of Inference
Jonathan Landy
Statistical modeling often involves identifying an optimal estimate to some underlying probability distribution known to satisfy some given constraints. I show here that choosing a…
Electrostatic interactions between discrete helices of charge
Jonathan Landy, Joseph Rudnick
We analytically examine the pair interaction for parallel, discrete helices of charge. Symmetry arguments allow for the energy to be decomposed into a sum of terms, each of which h…
Modulation effects within the mean-field theory of electrolyte solutions
Jonathan Landy
The consequences of source charge and surface modulation are studied within the framework of the Poisson-Boltzmann theory of electrolyte solutions. Through a consideration of vario…
Fourier expansions for the potentials of lattices of charge
Jonathan Landy
We apply the Poisson sum rule to obtain formal expressions for the Fourier coefficients of the potential of a lattice of generalized charge. Each generalized charge is assumed to c…