Chris Peterson

Orcid: 0000-0002-3982-6876

Affiliations:
  • Colorado State University, Department of Mathematics, USA


According to our database1, Chris Peterson authored at least 63 papers between 1997 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

Legend:

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Bibliography

2024
Integrating geometries of ReLU feedforward neural networks.
Frontiers Big Data, 2024

2023
Locally linear attributes of ReLU neural networks.
Frontiers Artif. Intell., February, 2023

An algorithm for computing Schubert varieties of best fit with applications.
Frontiers Artif. Intell., February, 2023

Exploring fMRI RDMs: enhancing model robustness through neurobiological data.
Frontiers Comput. Sci., 2023

Leveraging linear mapping for model-agnostic adversarial defense.
Frontiers Comput. Sci., 2023

ReLU Neural Networks, Polyhedral Decompositions, and Persistent Homolog.
CoRR, 2023

ReLU Neural Networks, Polyhedral Decompositions, and Persistent Homology.
Proceedings of the Topological, 2023

Hamming Similarity and Graph Laplacians for Class Partitioning and Adversarial Image Detection.
Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2023

2022
Self-organizing mappings on the flag manifold with applications to hyper-spectral image data analysis.
Neural Comput. Appl., 2022

The Flag Median and FlagIRLS.
Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2022

Dual Graphs of Polyhedral Decompositions for the Detection of Adversarial Attacks.
Proceedings of the IEEE International Conference on Big Data, 2022

2021
Supporting Massive DLRM Inference Through Software Defined Memory.
CoRR, 2021

Excess intersections and numerical irreducible decompositions.
Proceedings of the 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2021

The Flag Manifold as a Tool for Analyzing and Comparing Sets of Data Sets.
Proceedings of the IEEE/CVF International Conference on Computer Vision Workshops, 2021

2020
Self-organizing mappings on the Grassmannian with applications to data analysis in high dimensions.
Neural Comput. Appl., 2020

The flag manifold as a tool for analyzing and comparing data sets.
CoRR, 2020

Simple Camera-to-2D-LiDAR Calibration Method for General Use.
Proceedings of the Advances in Visual Computing - 15th International Symposium, 2020

On the apolar algebra of a product of linear forms.
Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

2019
Motion Segmentation via Generalized Curvatures.
IEEE Trans. Pattern Anal. Mach. Intell., 2019

More chemical detection through less sampling: amplifying chemical signals in hyperspectral data cubes through compressive sensing.
CoRR, 2019

A data-driven approach to sampling matrix selection for compressive sensing.
CoRR, 2019

Subspace Quantization on the Grassmannian.
Proceedings of the Advances in Self-Organizing Maps, Learning Vector Quantization, Clustering and Data Visualization, 2019

Self-Organizing Mappings on the Flag Manifold.
Proceedings of the Advances in Self-Organizing Maps, Learning Vector Quantization, Clustering and Data Visualization, 2019

A Walk Through Spectral Bands: Using Virtual Reality to Better Visualize Hyperspectral Data.
Proceedings of the Advances in Self-Organizing Maps, Learning Vector Quantization, Clustering and Data Visualization, 2019

2018
Monitoring the shape of weather, soundscapes, and dynamical systems: a new statistic for dimension-driven data analysis on large data sets.
CoRR, 2018

Numerical polar calculus and cohomology of line bundles.
Adv. Appl. Math., 2018

Manifold Curvature From Covariance Analysis.
Proceedings of the 2018 IEEE Statistical Signal Processing Workshop, 2018

A GPU-Oriented Algorithm Design for Secant-Based Dimensionality Reduction.
Proceedings of the 17th International Symposium on Parallel and Distributed Computing, 2018

Too many secants: a hierarchical approach to secant-based dimensionality reduction on large data sets.
Proceedings of the 2018 IEEE High Performance Extreme Computing Conference, 2018

Endmember Extraction on the Grassmannian.
Proceedings of the 2018 IEEE Data Science Workshop, 2018

Monitoring the shape of weather, soundscapes, and dynamical systems: a new statistic for dimension-driven data analysis on large datasets.
Proceedings of the IEEE International Conference on Big Data (IEEE BigData 2018), 2018

2017
Stratifying High-Dimensional Data Based on Proximity to the Convex Hull Boundary.
SIAM Rev., 2017

Analyzing Challenges to Library Materials: An Incomplete Picture.
Public Libr. Q., 2017

Persistence Images: A Stable Vector Representation of Persistent Homology.
J. Mach. Learn. Res., 2017

Visualizing data sets on the Grassmannian using self-organizing mappings.
Proceedings of the 12th International Workshop on Self-Organizing Maps and Learning Vector Quantization, 2017

Sparse Locally Linear Embedding.
Proceedings of the International Conference on Computational Science, 2017

Constrained subspace estimation via convex optimization.
Proceedings of the 25th European Signal Processing Conference, 2017

2016
Nerve Complexes of Circular Arcs.
Discret. Comput. Geom., 2016

Reduced dimension estimators in matched subspace detection.
Proceedings of the 8th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing, 2016

An order fitting rule for optimal subspace averaging.
Proceedings of the IEEE Statistical Signal Processing Workshop, 2016

Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies.
Proceedings of the Computational Topology in Image Context - 6th International Workshop, 2016

2015
The max-length-vector line of best fit to a set of vector subspaces and an optimization problem over a set of hyperellipsoids.
Numer. Linear Algebra Appl., 2015

Persistence Images: An Alternative Persistent Homology Representation.
CoRR, 2015

An application of persistent homology on Grassmann manifolds for the detection of signals in hyperspectral imagery.
Proceedings of the 2015 IEEE International Geoscience and Remote Sensing Symposium, 2015

2014
Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety.
Appl. Math. Comput., 2014

Perturbed homotopies for finding all isolated solutions of polynomial systems.
Appl. Math. Comput., 2014

Finding the Subspace Mean or Median to Fit Your Need.
Proceedings of the 2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014

2013
Computing intersection numbers of Chern classes.
J. Symb. Comput., 2013

Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry.
Exp. Math., 2013

Flag Manifolds for the Characterization of Geometric Structure in Large Data Sets.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012
Locally Linear Embedding Clustering Algorithm for Natural Imagery
CoRR, 2012

An enterprise-wide approach to GIG internet protocol multicast.
Proceedings of the 31st IEEE Military Communications Conference, 2012

On the Strengthening of Topological Signals in Persistent Homology through Vector Bundle Based Maps.
Proceedings of the 24th Canadian Conference on Computational Geometry, 2012

2011
Chern numbers of smooth varieties via homotopy continuation and intersection theory.
J. Symb. Comput., 2011

2009
A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations.
SIAM J. Numer. Anal., 2009

Principal Angles Separate Subject Illumination Spaces in YDB and CMU-PIE.
IEEE Trans. Pattern Anal. Mach. Intell., 2009

2008
Ramsey regions.
Discret. Math., 2008

2007
Recognition of Digital Images of the Human Face at Ultra Low Resolution Via Illumination Spaces.
Proceedings of the Computer Vision, 2007

2006
A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set.
J. Complex., 2006

Implementation of Kumar's correspondence.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2006

Illumination Face Spaces Are Idiosyncratic.
Proceedings of the 2006 International Conference on Image Processing, 2006

2004
A symbolic test for (<i>i, j</i>)-uniformity in reduced zero-dimensional schemes.
J. Symb. Comput., 2004

1997
Implementing a Performance Forecasting System for Metacomputing The Network Weather Service.
Proceedings of the ACM/IEEE Conference on Supercomputing, 1997


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