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Orbits of Geometric Descent

  • A. Daniilidis,
    DIM-CMM, Universidad de Chile, Blanco Encalada 2120, piso 5, Santiago, Chile
  • D. Drusvyatskiy,
    Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON N2L 3G1
  • A. S. Lewis,
    School of Operations Research and Information Engineering, Cornell University, Ithaca, New York, USA
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Abstract

We prove that quasiconvex functions always admit descent trajectories bypassing all non-minimizing critical points.
Keywords: differential inclusion, quasiconvex function, self-contracted curve, sweeping process differential inclusion, quasiconvex function, self-contracted curve, sweeping process
MSC Classifications: 34A60, 49J99 show english descriptions Differential inclusions [See also 49J21, 49K21]
None of the above, but in this section
34A60 - Differential inclusions [See also 49J21, 49K21]
49J99 - None of the above, but in this section
 

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