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Month: January 2020

The sum of a geometric series is all you need!

Posted on January 6, 2020March 10, 2020 by Francis Bach

I sometimes joke with my students about one of the main tools I have been using in the last ten years: the explicit sum of a geometric series. Why is this? From numbers to operators The simplest version of this basic result for real numbers is the following: $$ \forall r \neq 1, \ \forall…

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Recent Posts

  • Unraveling spectral properties of kernel matrices – II
  • My book is (at last) out!
  • Scaling laws of optimization
  • Unraveling spectral properties of kernel matrices – I
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About

I am Francis Bach, a researcher at INRIA in the Computer Science department of Ecole Normale Supérieure, in Paris, France. I have been working on machine learning since 2000, with a focus on algorithmic and theoretical contributions, in particular in optimization. All of my papers can be downloaded from my web page or my Google Scholar page. I also have a Twitter account.

Recent Posts

  • Unraveling spectral properties of kernel matrices – II
  • My book is (at last) out!
  • Scaling laws of optimization
  • Unraveling spectral properties of kernel matrices – I
  • Revisiting the classics: Jensen’s inequality

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  • Francis Bach on Unraveling spectral properties of kernel matrices – II
  • Chanwoo Chun on Unraveling spectral properties of kernel matrices – II
  • Antonio Horta Ribeiro on Unraveling spectral properties of kernel matrices – II
  • Francis Bach on My book is (at last) out!
  • Francis Bach on Unraveling spectral properties of kernel matrices – I

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