Search Results for author: Christopher Hillar

Found 4 papers, 2 papers with code

Harmonics of Learning: Universal Fourier Features Emerge in Invariant Networks

1 code implementation13 Dec 2023 Giovanni Luca Marchetti, Christopher Hillar, Danica Kragic, Sophia Sanborn

In this work, we formally prove that, under certain conditions, if a neural network is invariant to a finite group then its weights recover the Fourier transform on that group.

Learning Theory

Bispectral Neural Networks

1 code implementation7 Sep 2022 Sophia Sanborn, Christian Shewmake, Bruno Olshausen, Christopher Hillar

We present a neural network architecture, Bispectral Neural Networks (BNNs) for learning representations that are invariant to the actions of compact commutative groups on the space over which a signal is defined.

Adversarial Robustness Representation Learning

Biologically Plausible Sequence Learning with Spiking Neural Networks

no code implementations25 Nov 2019 Zuozhu Liu, Thiparat Chotibut, Christopher Hillar, Shaowei Lin

Motivated by the celebrated discrete-time model of nervous activity outlined by McCulloch and Pitts in 1943, we propose a novel continuous-time model, the McCulloch-Pitts network (MPN), for sequence learning in spiking neural networks.

Deciphering subsampled data: adaptive compressive sampling as a principle of brain communication

no code implementations NeurIPS 2010 Guy Isely, Christopher Hillar, Fritz Sommer

A new algorithm is proposed for a) unsupervised learning of sparse representations from subsampled measurements and b) estimating the parameters required for linearly reconstructing signals from the sparse codes.

Data Compression

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