no code implementations • 12 Sep 2023 • Taylor W. Webb, Steven M. Frankland, Awni Altabaa, Simon Segert, Kamesh Krishnamurthy, Declan Campbell, Jacob Russin, Tyler Giallanza, Zack Dulberg, Randall O'Reilly, John Lafferty, Jonathan D. Cohen
A central challenge for cognitive science is to explain how abstract concepts are acquired from limited experience.
1 code implementation • 12 Jul 2023 • Timothy Doyeon Kim, Tankut Can, Kamesh Krishnamurthy
Using this measure, we explore how the phase-space dimension of the nODEs and the complexity of the function modeling the flow field contribute to expressivity.
no code implementations • 8 Sep 2021 • Tankut Can, Kamesh Krishnamurthy
The ability to store continuous variables in the state of a biological system (e. g. a neural network) is critical for many behaviours.
no code implementations • 29 Jul 2020 • Kamesh Krishnamurthy, Tankut Can, David J. Schwab
The gate modulating the dimensionality can induce a novel, discontinuous chaotic transition, where inputs push a stable system to strong chaotic activity, in contrast to the typically stabilizing effect of inputs.
no code implementations • 31 Jan 2020 • Tankut Can, Kamesh Krishnamurthy, David J. Schwab
Here, we take the perspective of studying randomly initialized LSTMs and GRUs as dynamical systems, and ask how the salient dynamical properties are shaped by the gates.