Search Results for author: Sophia Sanborn

Found 14 papers, 8 papers with code

Beyond Euclid: An Illustrated Guide to Modern Machine Learning with Geometric, Topological, and Algebraic Structures

1 code implementation12 Jul 2024 Sophia Sanborn, Johan Mathe, Mathilde Papillon, Domas Buracas, Hansen J Lillemark, Christian Shewmake, Abby Bertics, Xavier Pennec, Nina Miolane

Echoing the 19th-century revolutions that gave rise to non-Euclidean geometry, an emerging line of research is redefining modern machine learning with non-Euclidean structures.

The Selective G-Bispectrum and its Inversion: Applications to G-Invariant Networks

no code implementations10 Jul 2024 Simon Mataigne, Johan Mathe, Sophia Sanborn, Christopher Hillar, Nina Miolane

An important problem in signal processing and deep learning is to achieve \textit{invariance} to nuisance factors not relevant for the task.

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

Human behavior is often assumed to be hierarchically structured, made up of abstract actions that can be decomposed into concrete actions.

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

Cannot find the paper you are looking for? You can Submit a new open access paper.