Search Results for author: Sophia Sanborn

Found 11 papers, 7 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

Exploring the hierarchical structure of human plans via program generation

2 code implementations30 Nov 2023 Carlos G. Correa, Sophia Sanborn, Mark K. Ho, Frederick Callaway, Nathaniel D. Daw, Thomas L. Griffiths

We find that humans are sensitive to both metrics, but that both accounts fail to predict a qualitative feature of human-created programs, namely that people prefer programs with reuse over and above the predictions of MDL.

A General Framework for Robust G-Invariance in G-Equivariant Networks

2 code implementations NeurIPS 2023 Sophia Sanborn, Nina Miolane

We introduce a general method for achieving robust group-invariance in group-equivariant convolutional neural networks ($G$-CNNs), which we call the $G$-triple-correlation ($G$-TC) layer.

Identifying Interpretable Visual Features in Artificial and Biological Neural Systems

no code implementations17 Oct 2023 David Klindt, Sophia Sanborn, Francisco Acosta, Frédéric Poitevin, Nina Miolane

Single neurons in neural networks are often interpretable in that they represent individual, intuitively meaningful features.

Disentanglement

Architectures of Topological Deep Learning: A Survey of Message-Passing Topological Neural Networks

4 code implementations20 Apr 2023 Mathilde Papillon, Sophia Sanborn, Mustafa Hajij, Nina Miolane

The natural world is full of complex systems characterized by intricate relations between their components: from social interactions between individuals in a social network to electrostatic interactions between atoms in a protein.

Quantifying Extrinsic Curvature in Neural Manifolds

1 code implementation20 Dec 2022 Francisco Acosta, Sophia Sanborn, Khanh Dao Duc, Manu Madhav, Nina Miolane

The neural manifold hypothesis postulates that the activity of a neural population forms a low-dimensional manifold whose structure reflects that of the encoded task variables.

Dimensionality Reduction Topological Data Analysis

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

Efficient Neuromorphic Signal Processing with Loihi 2

no code implementations5 Nov 2021 Garrick Orchard, E. Paxon Frady, Daniel Ben Dayan Rubin, Sophia Sanborn, Sumit Bam Shrestha, Friedrich T. Sommer, Mike Davies

The biologically inspired spiking neurons used in neuromorphic computing are nonlinear filters with dynamic state variables -- very different from the stateless neuron models used in deep learning.

Audio Classification Optical Flow Estimation

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