Two Sums That Are Congruent Modulo p: 10723. - Christopher J. Hillar; Heinz-Jürgen Seiffert (Am. Math. Mon., 2001)

Eigenvalues of Words in Two Positive Definite Letters. - Charles R. Johnson; Christopher J. Hillar (SIAM J. Matrix Anal. Appl., 2002)

Problem 10928. - Christopher J. Hillar (Am. Math. Mon., 2002)

Convergent Series with Exponents: 10928. - Christopher J. Hillar; Patrick J. Fitzsimmons (Am. Math. Mon., 2003)

Problem 11098. - Christopher J. Hillar; Darren L. Rhea (Am. Math. Mon., 2004)

Cyclic resultants. - Christopher J. Hillar (J. Symb. Comput., 2005)

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

A result about the density of iterated line intersections in the plane. - Christopher J. Hillar; Darren L. Rhea (Comput. Geom., 2006)

Problem 11204. - Christopher J. Hillar (Am. Math. Mon., 2006)

Problem 11231. - Christopher J. Hillar (Am. Math. Mon., 2006)

Problem 11123. - Christopher J. Hillar; Lionel Levine (Am. Math. Mon., 2006)

An Oldie: 11098. - Christopher J. Hillar; Darren L. Rhea; Godfrey L. Isaacs (Am. Math. Mon., 2006)

Problem 11321. - Christopher J. Hillar (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)

Automorphisms of Finite Abelian Groups. - Christopher J. Hillar; Darren L. Rhea (Am. Math. Mon., 2007)

Problem 11288. - Christopher J. Hillar; Troels Windfeldt (Am. Math. Mon., 2007)

An algorithm for finding symmetric Grobner bases in infinite dimensional rings. - Matthias Aschenbrenner; Christopher J. Hillar (ISSAC, 2008)

Algebraic characterization of uniquely vertex colorable graphs. - Christopher J. Hillar; Troels Windfeldt (J. Comb. Theory B, 2008)

Problem 11346. - Christopher J. Hillar (Am. Math. Mon., 2008)

Problem 11377. - Christopher J. Hillar; Lionel Levine (Am. Math. Mon., 2008)

A Group In Which Equations Are Solvable: 11231. - Christopher J. Hillar; O. P. Lossers (Am. Math. Mon., 2008)

Snapshots for Velocities: 11223. - Christopher J. Hillar; Lionel Levine; Stephen C. Locke (Am. Math. Mon., 2008)

Problem 11422. - Christopher J. Hillar (Am. Math. Mon., 2009)

Problem 11446. - Christopher J. Hillar (Am. Math. Mon., 2009)

A Polynomial Identity: 11288 [2007, 359]. - Christopher J. Hillar; Saïd Amghibech (Am. Math. Mon., 2009)

Polynomials Not Associated with Symmetric Matrices: 11321 [2007, 835]. - Christopher J. Hillar; Bruce S. Burdick; Roger Williams (Am. Math. Mon., 2009)

Adaptive compressed sensing - A new class of self-organizing coding models for neuroscience. - William K. Coulter; Christopher J. Hillar; Guy Isley; Friedrich T. Sommer (ICASSP, 2010)

Deciphering subsampled data: adaptive compressive sampling as a principle of brain communication. - Guy Isley; Christopher J. Hillar; Friedrich T. Sommer (NIPS, 2010)

Recognizing Graph Theoretic Properties with Polynomial Ideals. - Jesús A. De Loera; Christopher J. Hillar; Peter N. Malkin; Mohamed Omar (Electron. J. Comb., 2010)

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)

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)

Most Tensor Problems Are NP-Hard. - Christopher J. Hillar; Lek-Heng Lim (J. ACM, 2013)

Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals. - Christopher J. Hillar; Abraham Martín del Campo (J. Symb. Comput., 2013)

Complex Static Skew-Symmetric Output Feedback Control. - Christopher J. Hillar; Frank Sottile (SIAM J. Control. Optim., 2013)

A hopfield recurrent neural network trained on natural images performs state-of-the-art image compression. - Christopher J. Hillar; Ram Mehta; Kilian Koepsell (ICIP, 2014)

Exploring discrete approaches to lossy compression schemes for natural image patches. - Ram Mehta; Sarah Marzen; Christopher J. Hillar (EUSIPCO, 2015)

Robust Discovery of Temporal Structure in Multi-neuron Recordings Using Hopfield Networks. - Christopher J. Hillar; Felix Effenberger (INNS Conference on Big Data, 2015)

Discovery of Salient Low-Dimensional Dynamical Structure in Neuronal Population Activity Using Hopfield Networks. - Felix Effenberger; Christopher J. Hillar (SIMBAD, 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)

When Can Dictionary Learning Uniquely Recover Sparse Data From Subsamples? - Christopher J. Hillar; Friedrich T. Sommer (IEEE Trans. Inf. Theory, 2015)

Robust Identifiability in Sparse Dictionary Learning. - Charles J. Garfinkle; Christopher J. Hillar (CoRR, 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)

Revisiting Perceptual Distortion for Natural Images: Mean Discrete Structural Similarity Index. - Christopher J. Hillar; Sarah Marzen (DCC, 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)

On the Uniqueness and Stability of Dictionaries for Sparse Representation of Noisy Signals. - Charles J. Garfinkle; Christopher J. Hillar (IEEE Trans. Signal Process., 2019)

Biologically Plausible Sequence Learning with Spiking Neural Networks. - Zuozhu Liu; Thiparat Chotibut; Christopher Hillar; Shaowei Lin (AAAI, 2020)

Hidden Hypergraphs, Error-Correcting Codes, and Critical Learning in Hopfield Networks. - Christopher Hillar; Tenzin Chan; Rachel Taubman; David Rolnick (Entropy, 2021)

Bispectral Neural Networks. - Sophia Sanborn; Christian Shewmake; Bruno A. Olshausen; Christopher J. Hillar (ICLR, 2023)

Harmonics of Learning: Universal Fourier Features Emerge in Invariant Networks. - Giovanni Luca Marchetti; Christopher J. Hillar; Danica Kragic; Sophia Sanborn (COLT, 2024)

The Selective G-Bispectrum and its Inversion: Applications to G-Invariant Networks. - Simon Mataigne; Johan Mathe; Sophia Sanborn; Christopher Hillar; Nina Miolane (NeurIPS, 2024)