Francisco Acosta

Francisco Acosta

I'm a physicist studying the geometry, symmetry, and dynamics of representations learned by neural networks @ the Geometric Intelligence Lab, UC Santa Barbara.

MIT '21 · PhD Candidate in Physics @ UC Santa Barbara · Advisor: Prof. Nina Miolane


About

I am a physics PhD candidate at UC Santa Barbara working at the intersection of deep learning and computational neuroscience. I study how neural networks build internal representations that support computation.

My research uses dynamical systems theory, group theory, and geometry to understand emergent structure in deep learning systems. I am especially interested in how learned representations are shaped by the interplay between task structure, network architecture, and learning dynamics.

Before UCSB, I earned my S.B. in Physics from MIT in 2021. During my PhD, I have also worked with Atmo as an AI Researcher building deep learning models for large-scale atmospheric forecasting.

I also help organize NeurReps, the NeurIPS Workshop on Symmetry and Geometry in Neural Representations.

Publications

Conference Publications
Sequential Group Composition: A Window into the Mechanics of Deep Learning
Marchetti, G., Kunin, D., Myers, A., Acosta, F., Miolane, N.
ICML 2026
Global Distortions from Local Rewards: Neural Coding Strategies in Path-Integrating Neural Systems
Acosta, F., Dinc, F., Redman, W., Madhav, M., Klindt, D., Miolane, N.
NeurIPS 2024
Not so Griddy: Internal Representations of RNNs Path Integrating More than One Agent
Redman, W., Acosta, F., Acosta-Mendoza, S., Miolane, N.
NeurIPS 2024
Quantifying Extrinsic Curvature in Neural Manifolds
Acosta, F., Sanborn, S., Dao Duc, K., Madhav, M., Miolane, N.
CVPR Workshop 2023
Relating Representational Geometry to Cortical Geometry in Visual Cortex
Acosta, F., Conwell, C., Klindt, D., Miolane, N.
NeurIPS Workshop 2023
Conference Abstracts
Dimensionality of population-level latent mechanisms encoding spatial representations
Delikkaya, N. E., Cimen, A., Acosta, F., Myers, A., Alexander, A., Dinc, F., Miolane, N.
NeurIPS Workshop 2025
A group theoretic perspective on path integration and the emergence of grid cells
Kunin, D., Kymn, C., Acosta, F., Marchetti, G., Miolane, N.
COSYNE 2026
The emergence of discrete grid cell modules from smooth gradients in the brain
Khona, M., Chandra, S., Acosta, F., Fiete, I.
COSYNE 2021
Preprints & In Preparation
The Timescale Matching Hypothesis in Task-Trained Recurrent Neural Networks
Acosta, F., Bertics, A., Dinc, F., Miolane, N.
Under Review, 2026
A Group-Theoretic Framework for Path Integration Predicts the Emergence of Grid Cells
Kunin, D., Kymn, C., Acosta, F., Marchetti, G., Miolane, N.
In Preparation, 2026
Latent computing by biological neural networks: A dynamical systems framework
Dinc, F., Blanco-Pozo, M., Klindt, D., Acosta, F., Jiang, Y., Ebrahimi, S., Shai, A., Tanaka, H., Yuan, P., Schnitzer, M., Miolane, N.
Preprint, 2025
Identifying Interpretable Visual Features in Artificial and Biological Neural Systems
Klindt, D., Sanborn, S., Acosta, F., Poitevin, F., Miolane, N.
In Preparation
Dissecting the black box: Latent circuit theory of neural coding and dynamics in recurrent neural networks
Dinc, F., Acosta, F., Jiang, Y., Blanco-Pozo, M., Klindt, D., Ebrahimi, S., Yuan, P., Shai, A., Tanaka, H., Miolane, N., Schnitzer, M.
In Preparation

Software

Geomstats

A Python package for Riemannian geometry in machine learning. Contributor since v2.6.0.

github.com/geomstats →

Group AGF

Research code for sequential group composition experiments, related to the ICML 2026 paper.

github.com/geometric-intelligence/group-agf →