[Numpy-discussion] sparse vectors / matrices / tensors
Yannick Versley
yversley at gmail.com
Tue Sep 20 10:42:18 EDT 2011
Hi all,
I've been working quite a lot with sparse vectors and sparse matrices
(basically
as feature vectors in the context of machine learning), and have noticed
that they
do crop up in a lot of places (e.g. the CVXOPT library, in scikits, ...) and
that people
tend to either reinvent the wheel (i.e. implement a complete sparse matrix
library) or
pretend that no separate data structure is needed (i.e. always passing along
pairs of
coordinate and data arrays).
I do think there would be some benefit to having sparse vectors/matrices or
tensors
(in parallel to numpy's arrays, which can be vectors or arbitrary-order
tensors) with a
standardized interface so that different packages (e.g. eigenvalue/SVD
computation,
least-squares and other QPs, but possibly also things like numpy.bincount as
well as
computations that are more domain-specific) can be more interoperable than
they are now.
One problem that I see is that people doing PDE solving usually want banded
matrices,
whereas other people (including me) do most of their work with
coordinate-list or CSR
matrices, which normally means some variation in the actual implementations
for different
domains, and it's also possible that the most convenient interface for a
sparse matrix is not
the most convenient one for a dense matrix (and vice-versa), but I think it
would be nice
if there were some kind of standardized data structure or maybe just a
standardized vtable-based
interface (similar to Python's buffer interface) that would allow all sparse
matrix packages to
interoperate with each other in some meaningful (even if not most-efficient)
way.
I'd be willing to adapt the code that I have (C++- and Cython-based) to this
kind of interface
to provide some kind of 'reference' implementation, but before inventing the
N+1th solution
to the problem, I'd be curious what other people's opinions are.
Yannick
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