Re: [Scikit-learn-general] manifold learning on abstract metric spaces

2011-09-21 Thread Jacob VanderPlas
To be clear, LLE's weights are found via a linear solution involving covariances of local neighborhoods, which can be constructed from a matrix of pairwise distances in a way analogous to that of metric MDS. Jake Matthieu Brucher wrote: > Hi, > > I think some of the algorithms already offer t

Re: [Scikit-learn-general] manifold learning on abstract metric spaces

2011-09-20 Thread Matthieu Brucher
Hi, I think some of the algorithms already offer this (Laplacian Eigenmaps for instance). I'm -1 for LLE as LLE does not compute distances, but weights based on the points directly. Matthieu 2011/9/21 Jacob VanderPlas > Hello, > I recently was contacted by someone interested in using manifold

Re: [Scikit-learn-general] manifold learning on abstract metric spaces

2011-09-20 Thread Mathieu Blondel
On Wed, Sep 21, 2011 at 8:56 AM, Robert Layton wrote: > I do really like the metric='precomputed' concept, which allows both > implementing actual metrics (euclidean, manhattan) as well as passing a > precomputed array in. If the algorithm doesn't allow it for whatever reason* > throw an error. T

Re: [Scikit-learn-general] manifold learning on abstract metric spaces

2011-09-20 Thread Robert Layton
On 21 September 2011 09:50, Gael Varoquaux wrote: > On Tue, Sep 20, 2011 at 04:25:58PM -0700, Jacob VanderPlas wrote: > > I recently was contacted by someone interested in using manifold > > learning methods on abstract metric spaces: that is, the training data > > is a matrix of pairwise distance

Re: [Scikit-learn-general] manifold learning on abstract metric spaces

2011-09-20 Thread Gael Varoquaux
On Tue, Sep 20, 2011 at 04:25:58PM -0700, Jacob VanderPlas wrote: > I recently was contacted by someone interested in using manifold > learning methods on abstract metric spaces: that is, the training data > is a matrix of pairwise distances rather than a set of points. It would > be fairly str

Re: [Scikit-learn-general] manifold learning on abstract metric spaces

2011-09-20 Thread Robert Layton
On 21 September 2011 09:25, Jacob VanderPlas < vanderp...@astro.washington.edu> wrote: > Hello, > I recently was contacted by someone interested in using manifold > learning methods on abstract metric spaces: that is, the training data > is a matrix of pairwise distances rather than a set of point

[Scikit-learn-general] manifold learning on abstract metric spaces

2011-09-20 Thread Jacob VanderPlas
Hello, I recently was contacted by someone interested in using manifold learning methods on abstract metric spaces: that is, the training data is a matrix of pairwise distances rather than a set of points. It would be fairly straightforward to implement this for basic LLE and Isomap, and could