Skip to content

Home Search Authors Pakistan News Saved

SciRah

SciRah does not host or store research papers. Results come live from free, official scholarly APIs, and every paper links back to its original source.

Data sources

OpenAlex
Semantic Scholar
Crossref
CORE
arXiv
PubMed

Privacy policy Terms of service

C. Hillar · SciRah

Researcher profile · Semantic Scholar

C. Hillar

Share profile

C. Hillar — researcher profile on SciRah

h-index: 21
Works: 100
Citations: 2,724

Most-cited papers

Most Tensor Problems Are NP-Hard
C. Hillar, Lek-Heng Lim
2009JACM1,430 citations Open access
Semantic Scholar
Automorphisms of Finite Abelian Groups
C. Hillar, Darren L. Rhea
2006The American mathematical monthly176 citations Open access
Semantic Scholar
Finite Groebner bases in infinite dimensional polynomial rings and applications
C. Hillar, S. Sullivant
2009116 citations Open access
Semantic Scholar
Finite generation of symmetric ideals
M. Aschenbrenner, C. Hillar
2004104 citations Open access
Semantic Scholar
Maximum entropy distributions on graphs
C. Hillar, Andre Wibisono
201359 citations
Semantic Scholar
When Can Dictionary Learning Uniquely Recover Sparse Data From Subsamples?
C. Hillar, F. Sommer
2011IEEE Transactions on Information Theory53 citations Open access
Semantic Scholar
Algebraic characterization of uniquely vertex colorable graphs
C. Hillar, Troels Windfeldt
2006J. Comb. Theory B50 citations Open access
Semantic Scholar
Eigenvalues of Words in Two Positive Definite Letters
Charles R. Johnson, C. Hillar
2001SIAM Journal on Matrix Analysis and Applications45 citations Open access
Semantic Scholar
ADVANCES ON THE BESSIS- MOUSSA-VILLANI TRACE CONJECTURE
C. Hillar
200533 citations Open access
Semantic Scholar
AN ELEMENTARY AND CONSTRUCTIVE SOLUTION TO HILBERT'S 17TH PROBLEM FOR MATRICES
C. Hillar, Jia-Wang Nie
200632 citations Open access
Semantic Scholar
Robust Exponential Memory in Hopfield Networks
C. Hillar, N. Tran
2014Journal of Mathematical Neuroscience31 citations Open access
Semantic Scholar
Adaptive compressed sensing — A new class of self-organizing coding models for neuroscience
William K. Coulter, C. Hillar, G. Isley, F. Sommer
2009IEEE International Conference on Acoustics, Speech, and Signal Processing30 citations
Semantic Scholar
Deciphering subsampled data: adaptive compressive sampling as a principle of brain communication
Guy Isely, C. Hillar, F. Sommer
2010Neural Information Processing Systems28 citations
Semantic Scholar
SUMS OF SQUARES OVER TOTALLY REAL FIELDS ARE RATIONAL SUMS OF SQUARES
C. Hillar
200727 citations Open access
Semantic Scholar
Cyclic resultants
C. Hillar
2004Journal of symbolic computation27 citations Open access
Semantic Scholar
Efficient and optimal binary Hopfield associative memory storage using minimum probability flow
C. Hillar, Jascha Narain Sohl-Dickstein, K. Koepsell
201225 citations
Semantic Scholar
Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals
C. Hillar, A. D. del Campo
2011Journal of symbolic computation24 citations Open access
Semantic Scholar
Recognizing Graph Theoretic Properties with Polynomial Ideals
J. De Loera, C. Hillar, P. Malkin, M. Omar
2010Electronic Journal of Combinatorics24 citations Open access
Semantic Scholar
Bispectral Neural Networks
S. Sanborn, Christian Shewmake, B. Olshausen, C. Hillar
2022International Conference on Learning Representations23 citations Open access
Semantic Scholar
Symmetric Word Equations in Two Positive Definite Letters
C. Hillar, Charles R. Johnson
200223 citations Open access
Semantic Scholar
The Secant Conjecture in the Real Schubert Calculus
L. García-Puente, Nickolas Hein, C. Hillar, A. D. del Campo +3 more
2010Experimental Mathematics21 citations Open access
Semantic Scholar
Comment on the article "Distilling free-form natural laws from experimental data"
C. Hillar, F. Sommer
201220 citations
Semantic Scholar
On the Positivity of the Coefficients of a Certain Polynomial Defined by Two Positive Definite Matrices
C. Hillar, Charles R. Johnson
200520 citations Open access
Semantic Scholar
Lower Bounds in Real Schubert Calculus
Nickolas Hein, C. Hillar, F. Sottile
201316 citations Open access
Semantic Scholar
Active State Organization of Spontaneous Behavioral Patterns
C. Hillar, G. Onnis, D. Rhea, L. Tecott
2018Scientific Reports15 citations Open access
Semantic Scholar
Inverses of symmetric, diagonally dominant positive matrices and applications
C. Hillar, Shao-Wei Lin, Andre Wibisono
201215 citations
Semantic Scholar
A hopfield recurrent neural network trained on natural images performs state-of-the-art image compression
C. Hillar, R. Mehta, K. Koepsell
2014International Conference on Information Photonics14 citations
Semantic Scholar
Ramsey theory reveals the conditions when sparse coding on subsampled data is unique
C. Hillar, F. Sommer
201114 citations
Semantic Scholar
Randomization, Sums of Squares, and Faster Real Root Counting for Tetranomials and Beyond
Osbert Bastani, C. Hillar, D. Popov, J. Rojas
2011arXiv.org13 citations
Semantic Scholar
Experimentation at the Frontiers of Reality in Schubert Calculus
C. Hillar, L. García-Puente, A. D. del Campo, James Ruffo +3 more
200912 citations Open access
Semantic Scholar
Solvability of symmetric word equations in positive definite letters
Scott Armstrong, C. Hillar
200512 citations Open access
Semantic Scholar
Polynomial recurrences and cyclic resultants
C. Hillar, Lionel Levine
200412 citations Open access
Semantic Scholar
Robust exponential binary pattern storage in Little-Hopfield networks
C. Hillar, N. Tran, K. Koepsell
201211 citations
Semantic Scholar
An algorithm for finding symmetric Grobner bases in infinite dimensional rings
M. Aschenbrenner, C. Hillar
2008International Symposium on Symbolic and Algebraic Computation11 citations Open access
Semantic Scholar
Equivariant Gröbner bases
C. Hillar, Robert Krone, A. Leykin
201610 citations Open access
Semantic Scholar
Fibonacci Identities and Graph Colorings
C. Hillar, Troels Windfeldt
2008The Fibonacci quarterly10 citations Open access
Semantic Scholar
Hidden Hypergraphs, Error-Correcting Codes, and Critical Learning in Hopfield Networks
C. Hillar, Tenzin Chan, Rachel Taubman, David Rolnick
2021Entropy9 citations Open access
Semantic Scholar
On the Uniqueness and Stability of Dictionaries for Sparse Representation of Noisy Signals
Charles J. Garfinkle, C. Hillar
2016IEEE Transactions on Signal Processing9 citations Open access
Semantic Scholar
Efficient and optimal Little-Hopfield auto-associative memory storage using minimum probability flow
C. Hillar
20138 citations
Semantic Scholar
Randomization , Sums of Squares , Near-Circuits , and Faster Real Root Counting
Osbert Bastani, C. Hillar, D. Popov, J. Rojas
20118 citations Open access
Semantic Scholar
The Electronic Journal of Linear Algebra Positive Eigenvalues and Two-letter Generalized Words *
C. Hillar, C. R. Johnson, I. Spitkovsky
20028 citations
Semantic Scholar
The Monotone Secant Conjecture in the Real Schubert Calculus
Nickolas Hein, C. Hillar, Abraham Martín del Campo, F. Sottile +1 more
2011Experimental Mathematics7 citations Open access
Semantic Scholar
POSITIVE EIGENVALUES AND TWO-LETTER GENERALIZED WORDS ∗
C. Hillar, Charles R. Johnson, I. Spitkovsky
20057 citations Open access
Semantic Scholar
Positive Eigenvalues of Generalized Words in Two Hermitian Positive Definite Matrices
C. Hillar, Charles R. Johnson
20056 citations Open access
Semantic Scholar
Robust Discovery of Temporal Structure in Multi-neuron Recordings Using Hopfield Networks
C. Hillar, Felix Effenberger
2015INNS Conference on Big Data5 citations Open access
Semantic Scholar
Minimum and Maximum Entropy Distributions for Binary Systems with Known Means and Pairwise Correlations
B. Albanna, C. Hillar, Jascha Narain Sohl-Dickstein, M. DeWeese
2012Entropy5 citations Open access
Semantic Scholar
State of Crime, 2018: A Look at Crime and Crime Response Needs in East Baton Rouge Parish
Moore, C. Hillar
20184 citations
Semantic Scholar
Revisiting Perceptual Distortion for Natural Images: Mean Discrete Structural Similarity Index
C. Hillar, Sarah E. Marzen
2017Data Compression Conference4 citations
Semantic Scholar
A Hadamard-type lower bound for symmetric diagonally dominant positive matrices
C. Hillar, Andre Wibisono
20154 citations Open access
Semantic Scholar
Exploring discrete approaches to lossy compression schemes for natural image patches
R. Mehta, Sarah E. Marzen, C. Hillar
2015European Signal Processing Conference4 citations
Semantic Scholar

Frequent co-authors

Invite them to SciRah by sharing their profile.

F. Sommer×5
Invite
F. Sommer — researcher profile on SciRah
Charles R. Johnson×5
Invite
Charles R. Johnson — researcher profile on SciRah
F. Sottile×4
Invite
F. Sottile — researcher profile on SciRah
Andre Wibisono×3
Invite
Andre Wibisono — researcher profile on SciRah

×3

Invite

K. Koepsell — researcher profile on SciRah

A. D. del Campo×3

Invite

A. D. del Campo — researcher profile on SciRah

Nickolas Hein×3

Invite

Nickolas Hein — researcher profile on SciRah

Invite

Z. Teitler — researcher profile on SciRah

M. Aschenbrenner×2

Invite

M. Aschenbrenner — researcher profile on SciRah

Troels Windfeldt×2

Invite

Troels Windfeldt — researcher profile on SciRah

Invite

N. Tran — researcher profile on SciRah

Jascha Narain Sohl-Dickstein×2

Invite

Jascha Narain Sohl-Dickstein — researcher profile on SciRah