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4 papers · 1 filter
A Hebbian/Anti-Hebbian Network Derived from Online Non-Negative Matrix Factorization Can Cluster and Discover Sparse Features
Cengiz Pehlevan, Dmitri B. Chklovskii
Despite our extensive knowledge of biophysical properties of neurons, there is no commonly accepted algorithmic theory of neuronal function. Here we explore the hypothesis that sin…
A Hebbian/Anti-Hebbian Neural Network for Linear Subspace Learning: A Derivation from Multidimensional Scaling of Streaming Data
Cengiz Pehlevan, Tao Hu, Dmitri B. Chklovskii
Neural network models of early sensory processing typically reduce the dimensionality of streaming input data. Such networks learn the principal subspace, in the sense of principal…
Random Coordinate Descent Methods for Minimizing Decomposable Submodular Functions
Alina Ene, Huy L. Nguyen
Submodular function minimization is a fundamental optimization problem that arises in several applications in machine learning and computer vision. The problem is known to be solva…
Optimal Data-Dependent Hashing for Approximate Near Neighbors
Alexandr Andoni, Ilya Razenshteyn
We show an optimal data-dependent hashing scheme for the approximate near neighbor problem. For an -point data set in a -dimensional space our data structure achieves query t…