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

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

Subject Terms: Computer Science - Machine Learning, 68T01, 68T07, 68R01, 20K01

Access URL: http://arxiv.org/abs/2407.07655

Harmonics of Learning: Universal Fourier Features Emerge in Invariant Networks

Authors: Marchetti, Giovanni Luca, Hillar, Christopher, Kragic, Danica, Sanborn, Sophia

Subject Terms: Computer Science - Machine Learning, Computer Science - Artificial Intelligence, Electrical Engineering and Systems Science - Signal Processing

Access URL: http://arxiv.org/abs/2312.08550

Bispectral Neural Networks

Authors: Sanborn, Sophia, Shewmake, Christian, Olshausen, Bruno, Hillar, Christopher

Source: The Eleventh International Conference on Learning Representations (2023)

Subject Terms: Computer Science - Machine Learning

Access URL: http://arxiv.org/abs/2209.03416

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

Authors: Hillar, Christopher, Marzen, Sarah

Source: 2017 Data Compression Conference (DCC) DCC Data Compression Conference (DCC), 2017. :241-249 Apr, 2017

Relation: 2017 Data Compression Conference (DCC)

Biologically Plausible Sequence Learning with Spiking Neural Networks

Authors: Liu, Zuozhu, Chotibut, Thiparat, Hillar, Christopher, Lin, Shaowei

Subject Terms: Condensed Matter - Disordered Systems and Neural Networks, Computer Science - Machine Learning, Computer Science - Neural and Evolutionary Computing, Quantitative Biology - Neurons and Cognition, 68T01 (Primary), 68T05, 60J20 (Secondary), I.2.6, I.2.11, I.5.1

Access URL: http://arxiv.org/abs/1911.10943

Exploring discrete approaches to lossy compression schemes for natural image patches

Authors: Mehta, Ram, Marzen, Sarah, Hillar, Christopher

Source: 2015 23rd European Signal Processing Conference (EUSIPCO) Signal Processing Conference (EUSIPCO), 2015 23rd European. :2236-2240 Aug, 2015

Relation: 2015 23rd European Signal Processing Conference (EUSIPCO)

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

Authors: Hillar, Christopher, Mehta, Ram, Koepsell, Kilian

Source: 2014 IEEE International Conference on Image Processing (ICIP) Image Processing (ICIP), 2014 IEEE International Conference on. :4092-4096 Oct, 2014

Relation: 2014 IEEE International Conference on Image Processing (ICIP)

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

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

Source: 2010 IEEE International Conference on Acoustics, Speech and Signal Processing Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on. :5494-5497 Mar, 2010

Relation: ICASSP 2010 - 2010 IEEE International Conference on Acoustics, Speech and Signal Processing

Equivariant Gr\'obner bases

Authors: Hillar, Christopher J., Krone, Robert, Leykin, Anton

Subject Terms: Mathematics - Commutative Algebra, Mathematics - Algebraic Geometry

Access URL: http://arxiv.org/abs/1610.02075

On the uniqueness and stability of dictionaries for sparse representation of noisy signals

Authors: Garfinkle, Charles J., Hillar, Christopher J.

Subject Terms: Statistics - Machine Learning, Computer Science - Information Theory

Access URL: http://arxiv.org/abs/1606.06997

Robust exponential memory in Hopfield networks

Authors: Hillar, Christopher, Tran, Ngoc M.

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems, Mathematical Physics, Quantitative Biology - Neurons and Cognition

Access URL: http://arxiv.org/abs/1411.4625

Lower Bounds in Real Schubert Calculus

Authors: Hein, Nickolas, Hillar, Christopher J., Sottile, Frank

Subject Terms: Mathematics - Algebraic Geometry, 14N15, 14P99

Access URL: http://arxiv.org/abs/1308.4381

Maximum entropy distributions on graphs

Authors: Hillar, Christopher, Wibisono, Andre

Subject Terms: Mathematics - Statistics Theory, Mathematics - Probability, Quantitative Biology - Neurons and Cognition

Access URL: http://arxiv.org/abs/1301.3321

Equivariant Gröbner bases
Mathematical society of japan seasonal insitute

Authors: Hillar, Christopher J., Krone, Robert, Leykin, Anton

Source: Advanced studies in pure mathematics. 77:129-154

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCCN604863014&indx=1&recIds=ETOCCN604863014

Comment on the article 'Distilling free-form natural laws from experimental data'

Authors: Hillar, Christopher, Sommer, Friedrich

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems, Physics - Data Analysis, Statistics and Probability

Access URL: http://arxiv.org/abs/1210.7273

Minimum and maximum entropy distributions for binary systems with known means and pairwise correlations

Authors: Albanna, Badr F., Hillar, Christopher, Sohl-Dickstein, Jascha, DeWeese, Michael R.

Source: Entropy 2017, 19, 427

Subject Terms: Physics - Biological Physics, Condensed Matter - Statistical Mechanics, Quantitative Biology - Neurons and Cognition

Access URL: http://arxiv.org/abs/1209.3744

Robust exponential binary pattern storage in Little-Hopfield networks

Authors: Hillar, Christopher, Tran, Ngoc, Koepsell, Kilian

Subject Terms: Quantitative Biology - Neurons and Cognition, Mathematics - Combinatorics, Mathematics - Dynamical Systems

Access URL: http://arxiv.org/abs/1206.2081

Efficient and optimal binary Hopfield associative memory storage using minimum probability flow

Authors: Hillar, Christopher, Sohl-Dickstein, Jascha, Koepsell, Kilian

Subject Terms: Nonlinear Sciences - Adaptation and Self-Organizing Systems, Quantitative Biology - Neurons and Cognition

Access URL: http://arxiv.org/abs/1204.2916

Inverses of symmetric, diagonally dominant positive matrices and applications

Authors: Hillar, Christopher J., Lin, Shaowei, Wibisono, Andre

Subject Terms: Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/1203.6812

Complex static skew-symmetric output feedback control

Authors: Hillar, Christopher J., Sottile, Frank

Subject Terms: Mathematics - Optimization and Control, Mathematics - Algebraic Geometry, 93B55, 14M15, 93B27

Access URL: http://arxiv.org/abs/1111.3501