Saturday, April 9, 2016

Python toolbox for manifold optimization

Decision Forests for Classification, Regression, Density ...

research.microsoft.com/.../decisionForests_MSR_TR_...
Microsoft Research
sification, regression, density estimation, manifold learning, semi- supervised learning ..... used to separate the data (e.g. an axis-aligned hyperplane, an oblique.

pymanopt/oblique.py at master · pymanopt/pymanopt · GitHub

https://github.com/pymanopt/pymanopt/blob/.../manifolds/oblique.py
pymanopt - Python toolbox for manifold optimization with support for automatic differentiation. ... Oblique manifold: deals with matrices of size m-by-n such that each column. has unit 2-norm, i.e., .... return X / la.norm(X, axis=0)[np.newaxis, :] ...

Manopt, oblique manifold

www.manopt.org/manifold_documentation_oblique.html
The oblique manifold O B ( n , m ) (the set of matrices of size nxm with unit-norm columns) is endowed with a Riemannian manifold structure by considering it as


Patent US3994130 - Exhaust manifold assembly with ...

www.google.com/patents/US3994130
Google
Nov 30, 1976 - and with each of said central axes arranged in nonintersecting obliquedirections extending at different angles relative to said central ...

Patent US20130269806 - Vee Manifold - Google Patents

www.google.com/patents/US20130269806
Google
Oct 17, 2013 - In one embodiment, the first channel longitudinal axis and the second channel longitudinal axis are oblique to the first side and the second side ...

Alden's Manifold Cyclopedia of Knowledge and Language

https://books.google.com/books?id=0axIAQAAMAAJ
1890 - ‎Encyclopedias and dictionaries
OBLIQUE-ANGLED, having only oblique angles, or those not of 90 degrees. OBLIQUEARCH, an arch whose direction is not at right angles to its axisOBLIQUE ...

Factor Analysis: An Applied Approach - Page 207 - Google Books Result

https://books.google.com/books?isbn=1317759656
Edward E. Cureton, ‎Ralph B. D'Agostino - 2013 - ‎Psychology
I-Iint: Use two three-test centroids to locate two of the primary axes, and tests 4 and 6 ... 6.1 the positive manifold of the oblique solution is the segment I 0 II that is ...

Manifold Mirrors: The Crossing Paths of the Arts and ...

https://books.google.com/books?isbn=0521429633
Felipe Cucker - 2013 - ‎Art
axis of, 174 branches of, 174 directrix, 176 focus, 176 parallelogram, 158 ... 260, 269oblique horizontal, 276 oblique two—sided, 276 oblique vertical, 276 ...

Introduction to the mathematics of general relativity - Wikipedia

https://en.wikipedia.org/.../Introduction_to_the_mathematics_...
Wikipedia
Oblique axes; 3 Nontensors; 4 Curvilinear coordinates and curved .... where spacetime is represented by a curved 4-dimensional Lorentz manifold with a ...

[PDF]Decision Forests for Classification, Regression, Density ...

research.microsoft.com/.../decisionForests_MSR_TR_...
Microsoft Research
sification, regression, density estimation, manifold learning, semi- supervised learning ..... used to separate the data (e.g. an axis-aligned hyperplane, an oblique.

pymanopt/oblique.py at master · pymanopt/pymanopt · GitHub

https://github.com/pymanopt/pymanopt/blob/.../manifolds/oblique.py
pymanopt - Python toolbox for manifold optimization with support for automatic differentiation. ... Oblique manifold: deals with matrices of size m-by-n such that each column. has unit 2-norm, i.e., .... return X / la.norm(X, axis=0)[np.newaxis, :] ...

Manopt, oblique manifold

www.manopt.org/manifold_documentation_oblique.html
The oblique manifold O B ( n , m ) (the set of matrices of size nxm with unit-norm columns) is endowed with a Riemannian manifold structure by considering it as ...

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