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- Flatiron Institute67 papers
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12 papers · 1 filter
A Normative Theory of Adaptive Dimensionality Reduction in Neural Networks
Cengiz Pehlevan, Dmitri B. Chklovskii
To make sense of the world our brains must analyze high-dimensional datasets streamed by our sensory organs. Because such analysis begins with dimensionality reduction, modelling e…
A New Class of Combinatorial Markets with Covering Constraints: Algorithms and Applications
Nikhil Devanur, Jugal Garg, Ruta Mehta +2
We introduce a new class of combinatorial markets in which agents have covering constraints over resources required and are interested in delay minimization. Our market model is ap…
Information Limits for Recovering a Hidden Community
Bruce Hajek, Yihong Wu, Jiaming Xu
We study the problem of recovering a hidden community of cardinality from an symmetric data matrix , where for distinct indices , if …
A new hybrid integral representation for frequency domain scattering in layered media
Jun Lai, Leslie Greengard, Michael O'Neil
A variety of problems in acoustic and electromagnetic scattering require the evaluation of impedance or layered media Green's functions. Given a point source located in an unbounde…
Integral equation methods for elastance and mobility problems in two dimensions
Manas Rachh, Leslie Greengard
We present new integral representations in two dimensions for the elastance problem in electrostatics and the mobility problem in Stokes flow. These representations lead to resonan…
Simple and efficient representations for the fundamental solutions of Stokes flow in a half-space
Zydrunas Gimbutas, Leslie Greengard, Shravan Veerapaneni
We derive new formulas for the fundamental solutions of slow, viscous flow, governed by the Stokes equations, in a half-space. They are simpler than the classical representations o…