Search Results for author: Francesco Cosentino

Found 2 papers, 2 papers with code

Carathéodory Sampling for Stochastic Gradient Descent

1 code implementation2 Jun 2020 Francesco Cosentino, Harald Oberhauser, Alessandro Abate

Various flavours of Stochastic Gradient Descent (SGD) replace the expensive summation that computes the full gradient by approximating it with a small sum over a randomly selected subsample of the data set that in turn suffers from a high variance.

A Randomized Algorithm to Reduce the Support of Discrete Measures

1 code implementation NeurIPS 2020 Francesco Cosentino, Harald Oberhauser, Alessandro Abate

Given a discrete probability measure supported on $N$ atoms and a set of $n$ real-valued functions, there exists a probability measure that is supported on a subset of $n+1$ of the original $N$ atoms and has the same mean when integrated against each of the $n$ functions.

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