Implementing a Performance Forecasting System for Metacomputing The Network Weather Service. - Richard Wolski; Neil Spring; Chris Peterson 001 (SC, 1997)

A symbolic test for (i, j)-uniformity in reduced zero-dimensional schemes. - Juan Migliore; Chris Peterson 001 (J. Symb. Comput., 2004)

Illumination Face Spaces Are Idiosyncratic. - Jen-Mei Chang; J. Ross Beveridge; Bruce A. Draper; Michael Kirby; Holger Kley; Chris Peterson 001 (IPCV, 2006)

Implementation of Kumar's correspondence. - Hirotachi Abo; Chris Peterson 001 (ISSAC, 2006)

A numerical-symbolic algorithm for computing the multiplicity of a component of an algebraic set. - Daniel J. Bates; Chris Peterson 001; Andrew J. Sommese (J. Complex., 2006)

Recognition of Digital Images of the Human Face at Ultra Low Resolution Via Illumination Spaces. - Jen-Mei Chang; Michael Kirby; Holger Kley; Chris Peterson 001; Bruce A. Draper; J. Ross Beveridge (ACCV (2), 2007)

Ramsey regions. - Chris Frederick; Chris Peterson 001 (Discret. Math., 2008)

Principal Angles Separate Subject Illumination Spaces in YDB and CMU-PIE. - J. Ross Beveridge; Bruce A. Draper; Jen-Mei Chang; Michael Kirby; Holger Kley; Chris Peterson 001 (IEEE Trans. Pattern Anal. Mach. Intell., 2009)

A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations. - Daniel J. Bates; Jonathan D. Hauenstein; Chris Peterson 001; Andrew J. Sommese (SIAM J. Numer. Anal., 2009)

Chern numbers of smooth varieties via homotopy continuation and intersection theory. - Sandra Di Rocco; David Eklund; Chris Peterson 001; Andrew J. Sommese (J. Symb. Comput., 2011)

On the Strengthening of Topological Signals in Persistent Homology through Vector Bundle Based Maps. - Eric M. Hanson; Francis C. Motta; Chris Peterson 001; Lori Ziegelmeier (CCCG, 2012)

An enterprise-wide approach to GIG internet protocol multicast. - Bruce Bennett; Chris Peterson 001; Dan Gilbert; Emre Ertekin; John Herbert; John Kim (MILCOM, 2012)

Locally Linear Embedding Clustering Algorithm for Natural Imagery - Lori Ziegelmeier; Michael Kirby; Chris Peterson 001 (CoRR, 2012)

Flag Manifolds for the Characterization of Geometric Structure in Large Data Sets. - Tim Marrinan; J. Ross Beveridge; Bruce A. Draper; Michael Kirby; Chris Peterson 001 (ENUMATH, 2013)

Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry. - Daniel J. Bates; Jonathan D. Hauenstein; Timothy M. McCoy; Chris Peterson 001; Andrew J. Sommese (Exp. Math., 2013)

Computing intersection numbers of Chern classes. - Daniel J. Bates; David Eklund; Chris Peterson 001 (J. Symb. Comput., 2013)

Finding the Subspace Mean or Median to Fit Your Need. - Tim Marrinan; Bruce A. Draper; J. Ross Beveridge; Michael Kirby; Chris Peterson 001 (CVPR, 2014)

Perturbed homotopies for finding all isolated solutions of polynomial systems. - Daniel J. Bates; Brent R. Davis; David Eklund; Eric M. Hanson; Chris Peterson 001 (Appl. Math. Comput., 2014)

Comparison of probabilistic algorithms for analyzing the components of an affine algebraic variety. - Daniel J. Bates; Wolfram Decker; Jonathan D. Hauenstein; Chris Peterson 001; Gerhard Pfister; Frank-Olaf Schreyer; Andrew J. Sommese; Charles W. Wampler (Appl. Math. Comput., 2014)

An application of persistent homology on Grassmann manifolds for the detection of signals in hyperspectral imagery. - Sofya Chepushtanova; Michael Kirby; Chris Peterson 001; Lori Ziegelmeier (IGARSS, 2015)

Persistence Images: An Alternative Persistent Homology Representation. - Sofya Chepushtanova; Tegan Emerson; Eric M. Hanson; Michael Kirby; Francis C. Motta; Rachel Neville; Chris Peterson 001; Patrick D. Shipman; Lori Ziegelmeier (CoRR, 2015)

The max-length-vector line of best fit to a set of vector subspaces and an optimization problem over a set of hyperellipsoids. - Daniel J. Bates; Brent R. Davis; Michael Kirby; Justin Marks; Chris Peterson 001 (Numer. Linear Algebra Appl., 2015)

Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies. - Sofya Chepushtanova; Michael Kirby; Chris Peterson 001; Lori Ziegelmeier (CTIC, 2016)

An order fitting rule for optimal subspace averaging. - Ignacio Santamaría; Louis L. Scharf; Chris Peterson 001; Michael Kirby; Joseph M. Francos (SSP, 2016)

Reduced dimension estimators in matched subspace detection. - Tegan Emerson; Michael Kirby; Chris Peterson 001; Louis Scharf (WHISPERS, 2016)

Nerve Complexes of Circular Arcs. - Michal Adamaszek; Henry Adams; Florian Frick; Chris Peterson 001; Corrine Previte-Johnson (Discret. Comput. Geom., 2016)

Constrained subspace estimation via convex optimization. - Ignacio Santamaría; Javier Vía; Michael Kirby; Tim Marrinan; Chris Peterson 001; Louis Scharf (EUSIPCO, 2017)

Sparse Locally Linear Embedding. - Lori Ziegelmeier; Michael Kirby; Chris Peterson 001 (ICCS, 2017)

Visualizing data sets on the Grassmannian using self-organizing mappings. - Michael Kirby; Chris Peterson 001 (WSOM, 2017)

Persistence Images: A Stable Vector Representation of Persistent Homology. - Henry Adams; Tegan Emerson; Michael Kirby; Rachel Neville; Chris Peterson 001; Patrick D. Shipman; Sofya Chepushtanova; Eric M. Hanson; Francis C. Motta; Lori Ziegelmeier (J. Mach. Learn. Res., 2017)

Analyzing Challenges to Library Materials: An Incomplete Picture. - Shannon M. Oltmann; Chris Peterson 001; Emily J. M. Knox (Public Libr. Q., 2017)

Stratifying High-Dimensional Data Based on Proximity to the Convex Hull Boundary. - Lori Ziegelmeier; Michael Kirby; Chris Peterson 001 (SIAM Rev., 2017)

Monitoring the shape of weather, soundscapes, and dynamical systems: a new statistic for dimension-driven data analysis on large datasets. - Henry Kvinge; Elin Farnell; Michael Kirby; Chris Peterson 001 (IEEE BigData, 2018)

Endmember Extraction on the Grassmannian. - Elin Farnell; Henry Kvinge; Michael Kirby; Chris Peterson 001 (DSW, 2018)

Too many secants: a hierarchical approach to secant-based dimensionality reduction on large data sets. - Henry Kvinge; Elin Farnell; Michael Kirby; Chris Peterson 001 (HPEC, 2018)

A GPU-Oriented Algorithm Design for Secant-Based Dimensionality Reduction. - Henry Kvinge; Elin Farnell; Michael Kirby; Chris Peterson 001 (ISPDC, 2018)

Manifold Curvature From Covariance Analysis. - Javier Álvarez-Vizoso; Michael Kirby; Chris Peterson 001 (SSP, 2018)

Numerical polar calculus and cohomology of line bundles. - Sandra Di Rocco; David Eklund; Chris Peterson 001 (Adv. Appl. Math., 2018)

Monitoring the shape of weather, soundscapes, and dynamical systems: a new statistic for dimension-driven data analysis on large data sets. - Henry Kvinge; Elin Farnell; Michael Kirby; Chris Peterson 001 (CoRR, 2018)

A Walk Through Spectral Bands: Using Virtual Reality to Better Visualize Hyperspectral Data. - Henry Kvinge; Michael Kirby; Chris Peterson 001; Chad Eitel; Tod Clapp (WSOM+, 2019)

Self-Organizing Mappings on the Flag Manifold. - Xiaofeng Ma; Michael Kirby; Chris Peterson 001 (WSOM+, 2019)

Subspace Quantization on the Grassmannian. - Shannon Stiverson; Michael Kirby; Chris Peterson 001 (WSOM+, 2019)

A data-driven approach to sampling matrix selection for compressive sensing. - Elin Farnell; Henry Kvinge; John P. Dixon; Julia R. Dupuis; Michael Kirby; Chris Peterson 001; Elizabeth C. Schundler; Christian W. Smith (CoRR, 2019)

More chemical detection through less sampling: amplifying chemical signals in hyperspectral data cubes through compressive sensing. - Henry Kvinge; Elin Farnell; Julia R. Dupuis; Michael Kirby; Chris Peterson 001; Elizabeth C. Schundler (CoRR, 2019)

Motion Segmentation via Generalized Curvatures. - Robert T. Arn; Pradyumna Narayana; Tegan Emerson; Bruce A. Draper; Michael Kirby; Chris Peterson 001 (IEEE Trans. Pattern Anal. Mach. Intell., 2019)

On the apolar algebra of a product of linear forms. - Michael DiPasquale; Zachary Flores; Chris Peterson 001 (ISSAC, 2020)

Simple Camera-to-2D-LiDAR Calibration Method for General Use. - Andrew H. Palmer; Chris Peterson 001; Janelle Blankenburg; David Feil-Seifer; Monica N. Nicolescu (ISVC (2), 2020)

The flag manifold as a tool for analyzing and comparing data sets. - Xiaofeng Ma; Michael Kirby; Chris Peterson 001 (CoRR, 2020)

Self-organizing mappings on the Grassmannian with applications to data analysis in high dimensions. - Xiaofeng Ma; Michael Kirby; Chris Peterson 001; Louis Scharf (Neural Comput. Appl., 2020)

The Flag Manifold as a Tool for Analyzing and Comparing Sets of Data Sets. - Xiaofeng Ma; Michael Kirby; Chris Peterson 001 (ICCVW, 2021)

Excess intersections and numerical irreducible decompositions. - Daniel J. Bates; David Eklund; Jonathan D. Hauenstein; Chris Peterson 001 (SYNASC, 2021)

Supporting Massive DLRM Inference Through Software Defined Memory. - Ehsan K. Ardestani; Changkyu Kim; Seung Jae Lee; Luoshang Pan; Valmiki Rampersad; Jens Axboe; Banit Agrawal; Fuxun Yu; Ansha Yu; Trung Le 003; Hector Yuen; Shishir Juluri; et al. (CoRR, 2021)

Dual Graphs of Polyhedral Decompositions for the Detection of Adversarial Attacks. - Huma Jamil; Yajing Liu; Christina M. Cole; Nathaniel Blanchard; Emily J. King; Michael Kirby; Christopher Peterson 001 (IEEE Big Data, 2022)

The Flag Median and FlagIRLS. - Nathan Mankovich; Emily J. King; Chris Peterson 001; Michael Kirby (CVPR, 2022)

Self-organizing mappings on the flag manifold with applications to hyper-spectral image data analysis. - Xiaofeng Ma; Michael Kirby; Chris Peterson 001 (Neural Comput. Appl., 2022)

Hamming Similarity and Graph Laplacians for Class Partitioning and Adversarial Image Detection. - Huma Jamil; Yajing Liu; Turgay Caglar; Christina M. Cole; Nathaniel Blanchard; Christopher Peterson 001; Michael Kirby (CVPR Workshops, 2023)

ReLU Neural Networks, Polyhedral Decompositions, and Persistent Homology. - Yajing Liu; Christina M. Cole; Chris Peterson 001; Michael Kirby (TAG-ML, 2023)

ReLU Neural Networks, Polyhedral Decompositions, and Persistent Homolog. - Yajing Liu; Christina M. Cole; Chris Peterson 001; Michael Kirby (CoRR, 2023)

Leveraging linear mapping for model-agnostic adversarial defense. - Huma Jamil; Yajing Liu; Nathaniel Blanchard; Michael Kirby; Chris Peterson 001 (Frontiers Comput. Sci., 2023)

Exploring fMRI RDMs: enhancing model robustness through neurobiological data. - William Pickard; Kelsey Sikes; Huma Jamil; Nicholas Chaffee; Nathaniel Blanchard; Michael Kirby; Chris Peterson 001 (Frontiers Comput. Sci., 2023)

An algorithm for computing Schubert varieties of best fit with applications. - Karim Karimov; Michael Kirby; Chris Peterson 001 (Frontiers Artif. Intell., 2023)

Locally linear attributes of ReLU neural networks. - Benjamin Sattelberg; Renzo Cavalieri; Michael Kirby; Chris Peterson 001; J. Ross Beveridge (Frontiers Artif. Intell., 2023)

Integrating geometries of ReLU feedforward neural networks. - Yajing Liu; Turgay Caglar; Chris Peterson 001; Michael Kirby (Frontiers Big Data, 2024)