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  2. Exact natural gradient in deep linear networks andapplication to ...

    https://cbl.eng.cam.ac.uk/publications/bernacchia-nips-2018.pdf
    12 May 2024: Fij =〈xi1x. Tj1〉pθ〈eie. Tj. 〉pθ. (22). There is no reason to expect that this expression is zero for i 6= j, unless the outputs xi or the errorsei are ... Fij =(Wbi ΣW. bj. T)(Wai. T Σ̃1Waj. )=〈xi1x. Tj1〉pθ〈eie. Tj. 〉pθ.
  3. PHYSICAL REVIEW E 86, 011909 (2012) Non-normal amplification in ...

    https://cbl.eng.cam.ac.uk/publications/hennequin-pre-2012.pdf
    12 May 2024: i1j =1. tij. (i1k=1. tikσj k j 1k=1. tj kσik. ), (A4). ... tij tj ktkσi〉. (A7). As above, the first sum vanishes except for = j.

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