Christopher Hillar

According to our database, Christopher Hillar authored at least 50 papers between 2001 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

The Selective G-Bispectrum and its Inversion: Applications to G-Invariant Networks.

Simon Mataigne, Johan Mathe, Sophia Sanborn, Christopher Hillar, Nina Miolane

CoRR, 2024

Harmonics of Learning: Universal Fourier Features Emerge in Invariant Networks.

Giovanni Luca Marchetti, Christopher J. Hillar, Danica Kragic, Sophia Sanborn

Proceedings of the Thirty Seventh Annual Conference on Learning Theory, June 30, 2024

2023

Bispectral Neural Networks.

Sophia Sanborn, Christian Shewmake, Bruno A. Olshausen, Christopher J. Hillar

Proceedings of the Eleventh International Conference on Learning Representations, 2023

2021

Hidden Hypergraphs, Error-Correcting Codes, and Critical Learning in Hopfield Networks.

Christopher Hillar, Tenzin Chan, Rachel Taubman, David Rolnick

Entropy, 2021

2020

Biologically Plausible Sequence Learning with Spiking Neural Networks.

Zuozhu Liu, Thiparat Chotibut, Christopher Hillar, Shaowei Lin

Proceedings of the Thirty-Fourth AAAI Conference on Artificial Intelligence, 2020

2019

On the Uniqueness and Stability of Dictionaries for Sparse Representation of Noisy Signals.

Charles J. Garfinkle, Christopher J. Hillar

IEEE Trans. Signal Process., 2019

2017

Minimum and Maximum Entropy Distributions for Binary Systems with Known Means and Pairwise Correlations.

Badr F. Albanna, Christopher Hillar, Jascha Sohl-Dickstein, Michael Robert DeWeese

Entropy, 2017

Revisiting Perceptual Distortion for Natural Images: Mean Discrete Structural Similarity Index.

Christopher J. Hillar, Sarah Marzen

Proceedings of the 2017 Data Compression Conference, 2017

2016

Corrigendum to "Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals" [J. Symb. Comput. 50(March 2013) 314-334].

Christopher J. Hillar, Abraham Martín del Campo

J. Symb. Comput., 2016

Robust Identifiability in Sparse Dictionary Learning.

Charles J. Garfinkle, Christopher J. Hillar

CoRR, 2016

2015

When Can Dictionary Learning Uniquely Recover Sparse Data From Subsamples?

Christopher J. Hillar, Friedrich T. Sommer

IEEE Trans. Inf. Theory, 2015

The Monotone Secant Conjecture in the Real Schubert Calculus.

Nickolas Hein, Christopher J. Hillar, Abraham Martín del Campo, Frank Sottile, Zach Teitler

Exp. Math., 2015

Discovery of Salient Low-Dimensional Dynamical Structure in Neuronal Population Activity Using Hopfield Networks.

Felix Effenberger, Christopher J. Hillar

Proceedings of the Similarity-Based Pattern Recognition - Third International Workshop, 2015

Robust Discovery of Temporal Structure in Multi-neuron Recordings Using Hopfield Networks.

Christopher J. Hillar, Felix Effenberger

Proceedings of the INNS Conference on Big Data 2015, 2015

Exploring discrete approaches to lossy compression schemes for natural image patches.

Ram Mehta, Sarah Marzen, Christopher J. Hillar

Proceedings of the 23rd European Signal Processing Conference, 2015

2014

A hopfield recurrent neural network trained on natural images performs state-of-the-art image compression.

Christopher J. Hillar, Ram Mehta, Kilian Koepsell

Proceedings of the 2014 IEEE International Conference on Image Processing, 2014

2013

Complex Static Skew-Symmetric Output Feedback Control.

Christopher J. Hillar, Frank Sottile

SIAM J. Control. Optim., 2013

Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals.

Christopher J. Hillar, Abraham Martín del Campo

J. Symb. Comput., 2013

Most Tensor Problems Are NP-Hard.

Christopher J. Hillar, Lek-Heng Lim

J. ACM, 2013

2012

The Secant Conjecture in the Real Schubert Calculus.

Luis David García-Puente, Nickolas Hein, Christopher J. Hillar, Abraham Martín del Campo, James Ruffo, Frank Sottile, Zach Teitler

Exp. Math., 2012

2011

Randomization, Sums of Squares, and Faster Real Root Counting for Tetranomials and Beyond.

Osbert Bastani, Christopher J. Hillar, Dimitar Popov, J. Maurice Rojas

CoRR, 2011

2010

Recognizing Graph Theoretic Properties with Polynomial Ideals.

Jesús A. De Loera, Christopher J. Hillar, Peter N. Malkin, Mohamed Omar

Electron. J. Comb., 2010

Deciphering subsampled data: adaptive compressive sampling as a principle of brain communication.

Guy Isley, Christopher J. Hillar, Friedrich T. Sommer

Proceedings of the Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010. Proceedings of a meeting held 6-9 December 2010, 2010

Adaptive compressed sensing - A new class of self-organizing coding models for neuroscience.

William K. Coulter, Christopher J. Hillar, Guy Isley, Friedrich T. Sommer

Proceedings of the IEEE International Conference on Acoustics, 2010

2009

Polynomials Not Associated with Symmetric Matrices: 11321 [2007, 835].

Christopher J. Hillar, Bruce S. Burdick, Roger Williams

Am. Math. Mon., 2009

A Polynomial Identity: 11288 [2007, 359].

Christopher J. Hillar, Saïd Amghibech

Am. Math. Mon., 2009

Problem 11446.

Christopher J. Hillar

Am. Math. Mon., 2009

Problem 11422.

Christopher J. Hillar

Am. Math. Mon., 2009

2008

Snapshots for Velocities: 11223.

Christopher J. Hillar, Lionel Levine, Stephen C. Locke

Am. Math. Mon., 2008

A Group In Which Equations Are Solvable: 11231.

Christopher J. Hillar, O. P. Lossers

Am. Math. Mon., 2008

Problem 11377.

Christopher J. Hillar, Lionel Levine

Am. Math. Mon., 2008

Problem 11346.

Christopher J. Hillar

Am. Math. Mon., 2008

Algebraic characterization of uniquely vertex colorable graphs.

Christopher J. Hillar, Troels Windfeldt

J. Comb. Theory B, 2008

An algorithm for finding symmetric Grobner bases in infinite dimensional rings.

Matthias Aschenbrenner, Christopher J. Hillar

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007

Problem 11288.

Christopher J. Hillar, Troels Windfeldt

Am. Math. Mon., 2007

Automorphisms of Finite Abelian Groups.

Christopher J. Hillar, Darren L. Rhea

Am. Math. Mon., 2007

The Trace of the Sum of All Products of Two Matrices: 11204.

Christopher J. Hillar, John H. Lindsey II, Robin Chapman

Am. Math. Mon., 2007

Problem 11321.

Christopher J. Hillar

Am. Math. Mon., 2007

2006

An Oldie: 11098.

Christopher J. Hillar, Darren L. Rhea, Godfrey L. Isaacs

Am. Math. Mon., 2006

Problem 11123.

Christopher J. Hillar, Lionel Levine

Am. Math. Mon., 2006

Problem 11231.

Christopher J. Hillar

Am. Math. Mon., 2006

Problem 11204.

Christopher J. Hillar

Am. Math. Mon., 2006

A result about the density of iterated line intersections in the plane.

Christopher J. Hillar, Darren L. Rhea

Comput. Geom., 2006

2005

Erratum to "Cyclic resultants" [J. Symbolic Comput. 39 (6) (2005) 653-669].

Christopher J. Hillar

J. Symb. Comput., 2005

Cyclic resultants.

Christopher J. Hillar

J. Symb. Comput., 2005

2004

Problem 11098.

Christopher J. Hillar, Darren L. Rhea

Am. Math. Mon., 2004

2003

Convergent Series with Exponents: 10928.

Christopher J. Hillar, Patrick J. Fitzsimmons

Am. Math. Mon., 2003

2002

Problem 10928.

Christopher J. Hillar

Am. Math. Mon., 2002

Eigenvalues of Words in Two Positive Definite Letters.

Charles R. Johnson, Christopher J. Hillar

SIAM J. Matrix Anal. Appl., 2002

2001

Two Sums That Are Congruent Modulo p: 10723.

Christopher J. Hillar, Heinz-Jürgen Seiffert

Am. Math. Mon., 2001