Publications (17)
Efficient Learning With Sine-Activated Low-rank Matrices
Yiping Ji, Hemanth Saratchandran, Cameron Gordon +2
Low-rank decomposition has emerged as a vital tool for enhancing parameter efficiency in neural network architectures, gaining traction across diverse applications in machine learn…
Distributed Genetic Algorithm for Feature Selection
Michael Potter, Ayberk Yarkın Yıldız, Nishanth Marer Prabhu +1
We empirically show that process-based Parallelism speeds up the Genetic Algorithm (GA) for Feature Selection (FS) 2x to 25x, while additionally increasing the Machine Learning (ML…
Memory Efficient Tabular Foundation Models
Shuting Luo, Monika Mikhail Kanaan, Cameron Gordon +2
The paper studies how to reduce the memory footprint of tabular foundation models like TabPFN using compression techniques, achieving up to 7.6× memory savings with little performa…
Taut foliations, left-orderability, and cyclic branched covers
Cameron Gordon, Tye Lidman
We study the question of when cyclic branched covers of knots admit taut foliations, have left-orderable fundamental group, and are not L-spaces.
D'OH: Decoder-Only Random Hypernetworks for Implicit Neural Representations
Cameron Gordon, Lachlan Ewen MacDonald, Hemanth Saratchandran +1
Deep implicit functions have been found to be an effective tool for efficiently encoding all manner of natural signals. Their attractiveness stems from their ability to compactly r…
Obtaining genus 2 Heegaard splittings from Dehn surgery
Kenneth L Baker, Cameron Gordon, John Luecke
Let K' be a hyperbolic knot in S^3 and suppose that some Dehn surgery on K' with distance at least 3 from the meridian yields a 3-manifold M of Heegaard genus 2. We show that if M…
On surface subgroups of doubles of free groups
Cameron Gordon, Henry Wilton
We give several sufficient conditions for a double of a free group along a cyclic subgroup to contain a surface subgroup.
Bridge number and integral Dehn surgery
Ken Baker, Cameron Gordon, John Luecke
In a 3-manifold M, let K be a knot and R be an annulus which meets K transversely. We define the notion of the pair (R,K) being caught by a surface Q in the exterior of the link gi…
Knots with small rational genus
Danny Calegari, Cameron Gordon
If K is a rationally null-homologous knot in a 3-manifold M, the rational genus of K is the infimum of -Ï(S)/2p over all embedded orientable surfaces S in the complement of K whos…
The Information Bottleneck Principle in Corporate Hierarchies
Cameron Gordon
The hierarchical nature of corporate information processing is a topic of great interest in economic and management literature. Firms are characterised by a need to make complex de…
From Tables to Signals: Revealing Spectral Adaptivity in TabPFN
Jianqiao Zheng, Cameron Gordon, Yiping Ji +2
Task-agnostic tabular foundation models such as TabPFN have achieved impressive performance on tabular learning tasks, yet the origins of their inductive biases remain poorly under…
Mask-Based Priors Are More Persistent than Query-Key Initializations
Mingze Ma, Hemanth Saratchandran, Cameron Gordon +1
Transformers do not merely lack data on some Boolean extrapolation tasks; they generalize in a systematically wrong way. Recent work on generalization on the unseen has shown that,…
Bridge number, Heegaard genus and non-integral Dehn surgery
Kenneth L. Baker, Cameron Gordon, John Luecke
We show there exists a linear function w: N->N with the following property. Let K be a hyperbolic knot in a hyperbolic 3-manifold M admitting a non-longitudinal S^3 surgery. If K i…
SineLoRA: Sine-Activated Delta Compression
Cameron Gordon, Yiping Ji, Hemanth Saratchandran +2
Resource-constrained weight deployment is a task of immense practical importance. Recently, there has been interest in the specific task of \textit{Delta Compression}, where partie…
On Quantizing Implicit Neural Representations
Cameron Gordon, Shin-Fang Chng, Lachlan MacDonald +1
The role of quantization within implicit/coordinate neural networks is still not fully understood. We note that using a canonical fixed quantization scheme during training produces…
On the divisibility of $#\Hom(Î,G)$ by $|G|
Fernando Rodriguez Villegas, Cameron Gordon
We extend and reformulate a result of Solomon on the divisibility of the title. We show, for example, that if is a finitely generated group, then divides $#\Hom(Î,G)$ f…
Knot contact homology detects cabled, composite, and torus knots
Cameron Gordon, Tye Lidman
Knot contact homology is an invariant of knots derived from Legendrian contact homology which has numerous connections to the knot group. We use basic properties of knot groups to…