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Found 7 papers, 2 papers with code
Artistic Curve Steganography Carried by Musical Audio
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.
The DOPE Distance is SIC: A Stable, Informative, and Computable Metric on Time Series And Ordered Merge Trees
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.
Multi-scale Geometric Summaries for Similarity-based Sensor Fusion
A fused similarity template is then derived from the modality-specific SSMs using a technique called similarity network fusion (SNF).
Twisty Takens: A Geometric Characterization of Good Observations on Dense Trajectories
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
Geometric Cross-Modal Comparison of Heterogeneous Sensor Data
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.
Self-Similarity Based Time Warping
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.
(Quasi)Periodicity Quantification in Video Data, Using Topology
This work introduces a novel framework for quantifying the presence and strength of recurrent dynamics in video data.
