Toeplitz And Circulant Matrices: A Review (Foundations and Trends(R) in Communications and Information Theory)
By Robert M. Gray. 2006
461 citations recorded by the source corpus.
Subfields: Information Theory, Signal Processing
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Information Theory
- Bernhard Schölkopf
- Dominik Janzing
- Jan Peters
- Joris M. Mooij
- Jakob Zscheischler
- Javier Vía
- Philip M. Long
- Pedro M. Crespo
In Signal Processing
- Bernhard Schölkopf
- Dominik Janzing
- Jan Peters
- Joris M. Mooij
- Christopher R'e
- Albert Gu
- Tri Dao
- Atri Rudra
Citations in the corpus
- Distinguishing Cause from Effect Using Observational Data: Methods and Benchmarks (2014, background): “As the product of two Gaussian kernels is characteristic, HSIC with such kernels will detect any dependence asymptotically (see also Lemma 12 in Appendix A), at least when the bandwidths are fixed.”
- The Singular Values of Convolutional Layers (2018, background): “The quality of this approximation has been heavily analyzed in the case of one-dimensional signals (Gray, 2006).”
- Circulant Binary Embedding (2014, unknown): “A circulant matrixR ∈ Rd×d is a matrix defined by a vector r = (r0, r2, · · · , rd−1)T (Gray, 2006)4.”
- Kaleidoscope: An Efficient, Learnable Representation For All Structured Linear Maps (2020, background): “…discrete cosine transform (DCT), discrete sine transform (DST), and Hadamard transform), convolution (i.e. circulant matrices), Toeplitz matrices (Gray, 2006), structured matrices for kernel approximation ( ( HD ) 3 (Yu et al., 2016)) and compact neural network design (Fastfood (Le et al.,…”
- Entropy and Kullback-Leibler divergence estimation based on Szegö's theorem (2009, background): “A useful property, that will be used later, is that the Kullback-Leibler divergence is scale invariant.”