numerical linear algebra

Jul 01

When Eigenvalues Collide

Alex Shtoff

Intro Up until now in the series we discussed mainly the expressive power of different variants of our model family, \[f({\boldsymbol x};{\boldsymbol A}_{0..n}) = \lambda_k \Bigl({\boldsymbol A}_0 + \sum_{i=1}^n x_i {\boldsymbol A}_i\Bigr),\] where each \(\boldsymbol A_i\) is a symmetric...

machine learning pytorch tridiagonal matrices autograd spectral methods structured matrices eigenvalue models scipy numerical linear algebra

Mar 15

Cheaper eigenvalue training and inference

Alex Shtoff

Intro In the last post we discussed the meaning of our model family \[f({\boldsymbol x};{\boldsymbol A}_{0..n}) = \lambda_k \Bigl({\boldsymbol A}_0 + \sum_{i=1}^n x_i {\boldsymbol A}_i\Bigr),\] where each \(\boldsymbol A_i\) is a symmetric matrix. In the last post we discussed what these models...

machine learning pytorch tridiagonal matrices autograd spectral methods structured matrices eigenvalue models scipy numerical linear algebra