1 code implementation • 29 Jan 2023 • Christopher J. Tralie
In this work, we create artistic closed loop curves that trace out images and 3D shapes, which we then hide in musical audio as a form of steganography.
no code implementations • 3 Dec 2022 • Christopher J. Tralie, Zachary Schlamowitz, Jose Arbelo, Antonio I. Delgado, Charley Kirk, Nicholas A. Scoville
We then devise a simple $O(N^2)$ dynamic programming algorithm to compute it on the interval and an $O(N^3)$ algorithm to compute it on the circle.
no code implementations • 13 Oct 2018 • Christopher J. Tralie, Paul Bendich, John Harer
A fused similarity template is then derived from the modality-specific SSMs using a technique called similarity network fusion (SNF).
no code implementations • 19 Sep 2018 • Boyan Xu, Christopher J. Tralie, Alice Antia, Michael Lin, Jose A. Perea
In nonlinear time series analysis and dynamical systems theory, Takens' embedding theorem states that the sliding window embedding of a generic observation along trajectories in a state space, recovers the region traversed by the dynamics.
Dynamical Systems Computational Geometry Algebraic Topology 37M10, 37M05, 37N99 I.3.5; G.1.m
no code implementations • 23 Nov 2017 • Christopher J. Tralie, Abraham Smith, Nathan Borggren, Jay Hineman, Paul Bendich, Peter Zulch, John Harer
The information represented by the two modalities is compared using self-similarity matrices (SSMs) corresponding to time-ordered point clouds in feature spaces of each of these data sources; we note that these feature spaces can be of entirely different scale and dimensionality.
no code implementations • 20 Nov 2017 • Christopher J. Tralie
In this work, we explore the problem of aligning two time-ordered point clouds which are spatially transformed and re-parameterized versions of each other.
1 code implementation • 26 Apr 2017 • Christopher J. Tralie, Jose A. Perea
This work introduces a novel framework for quantifying the presence and strength of recurrent dynamics in video data.