Christopher Hillar

Orcid: 0000-0001-8575-2663

Affiliations:
  • Awecom, Inc., San Francisco, CA, USA
  • University of California Berkeley, Redwood Center for Theoretical Neuroscience, CA, USA (former)


According to our database1, Christopher Hillar authored at least 49 papers between 2001 and 2023.

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Bibliography

2023
Harmonics of Learning: Universal Fourier Features Emerge in Invariant Networks.
CoRR, 2023

Bispectral Neural Networks.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

2021
Hidden Hypergraphs, Error-Correcting Codes, and Critical Learning in Hopfield Networks.
Entropy, 2021

2020
Biologically Plausible Sequence Learning with Spiking Neural Networks.
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.
IEEE Trans. Signal Process., 2019

2017
Minimum and Maximum Entropy Distributions for Binary Systems with Known Means and Pairwise Correlations.
Entropy, 2017

Revisiting Perceptual Distortion for Natural Images: Mean Discrete Structural Similarity Index.
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].
J. Symb. Comput., 2016

Robust Identifiability in Sparse Dictionary Learning.
CoRR, 2016

2015
When Can Dictionary Learning Uniquely Recover Sparse Data From Subsamples?
IEEE Trans. Inf. Theory, 2015

The Monotone Secant Conjecture in the Real Schubert Calculus.
Exp. Math., 2015

Discovery of Salient Low-Dimensional Dynamical Structure in Neuronal Population Activity Using Hopfield Networks.
Proceedings of the Similarity-Based Pattern Recognition - Third International Workshop, 2015

Robust Discovery of Temporal Structure in Multi-neuron Recordings Using Hopfield Networks.
Proceedings of the INNS Conference on Big Data 2015, 2015

Exploring discrete approaches to lossy compression schemes for natural image patches.
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.
Proceedings of the 2014 IEEE International Conference on Image Processing, 2014

2013
Complex Static Skew-Symmetric Output Feedback Control.
SIAM J. Control. Optim., 2013

Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals.
J. Symb. Comput., 2013

Most Tensor Problems Are NP-Hard.
J. ACM, 2013

2012
The Secant Conjecture in the Real Schubert Calculus.
Exp. Math., 2012

2011
Randomization, Sums of Squares, and Faster Real Root Counting for Tetranomials and Beyond.
CoRR, 2011

2010
Recognizing Graph Theoretic Properties with Polynomial Ideals.
Electron. J. Comb., 2010

Deciphering subsampled data: adaptive compressive sampling as a principle of brain communication.
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.
Proceedings of the IEEE International Conference on Acoustics, 2010

2009
Polynomials Not Associated with Symmetric Matrices: 11321 [2007, 835].
Am. Math. Mon., 2009

A Polynomial Identity: 11288 [2007, 359].
Am. Math. Mon., 2009

Problem 11446.
Am. Math. Mon., 2009

Problem 11422.
Am. Math. Mon., 2009

2008
Snapshots for Velocities: 11223.
Am. Math. Mon., 2008

A Group In Which Equations Are Solvable: 11231.
Am. Math. Mon., 2008

Problem 11377.
Am. Math. Mon., 2008

Problem 11346.
Am. Math. Mon., 2008

Algebraic characterization of uniquely vertex colorable graphs.
J. Comb. Theory, Ser. B, 2008

An algorithm for finding symmetric Grobner bases in infinite dimensional rings.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007
Problem 11288.
Am. Math. Mon., 2007

Automorphisms of Finite Abelian Groups.
Am. Math. Mon., 2007

The Trace of the Sum of All Products of Two Matrices: 11204.
Am. Math. Mon., 2007

Problem 11321.
Am. Math. Mon., 2007

2006
An Oldie: 11098.
Am. Math. Mon., 2006

Problem 11123.
Am. Math. Mon., 2006

Problem 11231.
Am. Math. Mon., 2006

Problem 11204.
Am. Math. Mon., 2006

A result about the density of iterated line intersections in the plane.
Comput. Geom., 2006

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

Cyclic resultants.
J. Symb. Comput., 2005

2004
Problem 11098.
Am. Math. Mon., 2004

2003
Convergent Series with Exponents: 10928.
Am. Math. Mon., 2003

2002
Problem 10928.
Am. Math. Mon., 2002

Eigenvalues of Words in Two Positive Definite Letters.
SIAM J. Matrix Anal. Appl., 2002

2001
Two Sums That Are Congruent Modulo p: 10723.
Am. Math. Mon., 2001


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