# hilbert_space

Stationarity in stochastic processes
Change-points, trends and transients
2021-11-29
– 2021-11-29
Multi-output Gaussian process regression
2020-12-02
– 2021-11-26
Combining kernels
2019-09-16
– 2021-11-25
Gaussian Process regression via state filtering
Imposing time on things
2019-09-18
– 2021-11-25
Gaussian process regression
And classification. And extensions.
2019-12-03
– 2021-11-25
t-processes
2021-11-10
– 2021-11-24
Fun with determinants
Especially Jacobian determinants
2011-04-06
– 2021-10-12
Multilinear algebra
Outer products, tensors, einstein summation
2021-10-08
Polynomial bases
2021-01-29
– 2021-10-06
Fractional differential equations
2016-03-22
– 2021-09-13
Wirtinger calculus
It’s not complicated / It’s complex
2019-05-08
– 2021-09-07
Karhunen-Loève expansions
2019-09-16
– 2021-08-27
Wiener-Khintchine representations
Spectral representations of stochastic processes
2019-05-08
– 2021-08-23
Vector Gaussian processses
2020-12-02
– 2021-08-16
Convolutional stochastic processes
Moving averages of noise
2021-03-01
– 2021-08-16
Gaussian processes
2016-08-07
– 2021-06-23
Neural net kernels
2019-09-16
– 2021-05-24
Transforms of RVs
2020-06-04
– 2021-05-14
Deep Gaussian process regression
2021-05-13
Fourier transforms
2021-01-29
– 2021-04-26
Dynamical systems via Koopman operators
Composition operators, Dynamic Extended Mode decompositions…
2020-10-13
– 2021-04-09
Kernel zoo
2019-09-16
– 2021-03-30
Neural nets with basis decomposition layers
2021-03-09
Learning on manifolds
Finding the lowest bit of a krazy straw, from the inside
2011-10-21
– 2021-03-03
Convolutional Gaussian processes
2021-03-01
Stochastic processes on manifolds
2021-03-01
Learning covariance functions
Learning a family of covariances at once
2019-09-16
– 2021-03-01
Frames and Riesz bases
Generalisations of orthogonal bases
2017-06-12
– 2021-02-24
Stability in linear dynamical systems
This Bodes well
2019-07-19
– 2021-02-16
Chaos expansions
Polynomial chaos, generalized polynomial chaos, arbitrary chaos etc
2020-05-21
– 2021-02-15
Integral transforms
2021-01-29
– 2021-01-30
Miscellaneous nonstationary kernels
2019-09-16
– 2021-01-21
Warping of stationary stochastic processes
2019-09-16
– 2021-01-21
Covariance functions
Variograms, Mercer kernels, positive definite operators, spare reproducing kernels for that Hilbert space I bought on eBay real cheap
2019-09-16
– 2021-01-05
Tensor decompositions
2016-08-15
– 2020-11-19
Tensor regression
2020-11-19
Efficient factoring of GP likelihoods
2020-10-16
– 2020-10-26
Filter design, linear
Especially digital
2017-07-24
– 2020-09-18
Non-Gaussian Bayesian functional regression
2019-10-10
– 2020-09-16
Gaussian process quantile regression
2020-09-16
Statistics of spatio-temporal processes
2020-09-11
– 2020-09-11
Stochastic signal sampling
Discrete sample representation of continuous stochastic processes
2017-05-30
– 2020-06-11
Functional regression
2016-01-05
– 2020-05-28
Lévy stochastic differential equations
2020-05-23
Restricted isometry properties
Plus incoherence, irrepresentability, and other uncertainty bounds for a sparse world, and maybe frame theory, what’s that now?
2017-06-12
– 2020-03-09
Cepstral transforms and harmonic identification
2017-09-12
– 2020-02-13
(Reproducing) kernel tricks
2014-08-18
– 2020-01-20
Non-uniform signal sampling
Discrete sample representation of continuous signals without a grid
2019-01-08
– 2019-12-03
Cherchez la martingale
Stuff about probability and orthogonality
2019-11-25
– 2019-11-30
Time frequency analysis
Multiplying your exposure to uncertainty principles
2018-01-06
– 2019-11-26
Phase retrieval
I’ve got the power. / Like the crack of the whip/ I snap attack/ Front to back
2017-01-16
– 2019-11-07
Sparse coding
How to make big things out of lists of small things.
2014-11-17
– 2019-11-05
Discrete time Fourier and related transforms
Also, chirplets, z-transforms, chromatic derivatives…
2019-10-17
– 2019-10-17
Spatial processes and statistics thereof
2011-07-29
– 2019-10-03
Correlograms
Also covariances
2018-08-08
– 2019-09-22
Defining dynamics via Gaussian processes
2019-09-18
Representer theorems
2019-09-16
(Weighted) least squares fits
2016-09-22
– 2019-05-22
Wiener theorem
Now with bonus Bochner!
2019-05-08
Ordinary differential equations
Thou, silent form, dost tease us out of thought / As doth eternity
2019-03-28
Signal sampling
Discrete representation of continuous signals and converse
2017-05-30
– 2019-03-08
Inner product spaces
The most highly developed theory of squaring things
2019-01-01
– 2019-02-11
Decaying sinusoid dictionaries
2019-01-07
Sparse stochastic processes and sampling
Discrete sample representation of sparse continuous stochastic processes
2018-11-22
– 2018-10-29
Feedback system identification, linear
2016-07-27
– 2018-10-23
Linear algebra
If the thing is twice as big, the transformed version of the thing is also twice as big. {End}
2011-04-06
– 2018-08-07
Signal processing
That which you study for 4 years in order to design trippy music visualisers
2015-03-18
– 2018-01-05
Integral probability metrics
2016-08-21
– 2017-10-31
Quantum probability
and quantum information, noncommutative probability
2016-10-16
– 2017-09-18
Uncertainty principles
2017-05-14
Functional equations
Putting the funk in functions
2017-02-06
– 2017-02-19
Concatenative synthesis
2015-12-13
– 2017-01-16
Fast multipole methods
2016-08-18
– 2016-09-20
Kernel approximation
2016-07-27
Matrix norms, divergences, metrics
2016-06-03
– 2016-06-15
Function approximation and interpolation
2016-06-09