13 citations · 29 across the 6 of their papers we have counts for
6 papers
The Neural Race Reduction: Dynamics of Abstraction in Gated Networks
Andrew M. Saxe, Shagun Sodhani, Sam Lewallen
Our theoretical understanding of deep learning has not kept pace with its empirical success. While network architecture is known to be critical, we do not yet understand its effect…
(1,1) L-space knots
Joshua Evan Greene, Sam Lewallen, Faramarz Vafaee
We characterize the (1, 1) knots in the three-sphere and lens spaces that admit non-trivial L-space surgeries. As a corollary, 1-bridge braids in these manifolds admit non- trivial…
Floergåsbord
Sam Lewallen
In this thesis, we prove several results concerning field-theoretic invariants of knots and 3-manifolds. In Chapter 2, for any knot in a closed, oriented 3-manifold , we use…
Strong L-spaces and left orderability
Adam Simon Levine, Sam Lewallen
We introduce the notion of a strong L-space, a closed, oriented rational homology 3-sphere whose Heegaard Floer homology can be determined at the chain level. We prove that the fun…
Khovanov homology of alternating links and SU(2) representations of the link group
Sam Lewallen
We prove that the Khovanov homology of alternating knots and 2-component links is equal (as a singly graded group) to the singular homology of a certain space of trace- free, binar…
Stimulus-dependent correlations in threshold-crossing spiking neurons
Yoram Burak, Sam Lewallen, Haim Sompolinsky
We consider a threshold-crossing spiking process as a simple model for the activity within a population of neurons. Assuming that these neurons are driven by a common fluctuating i…