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Added some ideas to the README file.
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README.org
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README.org
@ -35,4 +35,22 @@
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c_{apkl} R_{ia}^{p-k-l}\, C_{i,a(p-k+l)}^k
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$$
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** Rank reduction
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*** Idea
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The idea is to use SVD and fast-updates to reduce the rank of the
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intermediate \(r^k_{ij} = \Gamma_{i,j,k}\) like so.
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\[
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\Gamma_{i,j,k} = U_{i,d,k} \cdot D_{d,d,k} \cdot V^T_{d,j,k}
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\]
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Where \( D_{d,d,k}\) is a diagonal in indices \(i,j\) and is of rank \(d \ll Min(i,j)\).
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** Auto-generate derivatives
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*** Idea
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The calculation of first and second derivatives of
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a network of tensors contracted using BLAS can also be expressed as a sum of BLAS contractions. However, there are many pitfalls. Here we shall consider an automated generation of contraction scheme to optimize the order in which the BLAS contraction is performed.
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