4 papers
Distance preservation in state-space methods for detecting causal interactions in dynamical systems
Matthew O'Shaughnessy, Mark Davenport, Christopher Rozell
We analyze the popular ``state-space'' class of algorithms for detecting casual interaction in coupled dynamical systems. These algorithms are often justified by Takens' embedding…
PrefGen: Preference Guided Image Generation with Relative Attributes
Alec Helbling, Christopher J. Rozell, Matthew O'Shaughnessy +1
Deep generative models have the capacity to render high fidelity images of content like human faces. Recently, there has been substantial progress in conditionally generating image…
Learning Internal Representations of 3D Transformations from 2D Projected Inputs
Marissa Connor, Bruno Olshausen, Christopher Rozell
When interacting in a three dimensional world, humans must estimate 3D structure from visual inputs projected down to two dimensional retinal images. It has been shown that humans…
A First Analysis of the Stability of Takens' Embedding
Han Lun Yap, Armin Eftekhari, Michael B. Wakin +1
Takens' Embedding Theorem asserts that when the states of a hidden dynamical system are confined to a low-dimensional attractor, complete information about the states can be preser…