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تسجيل مستخدم جديدProximal methods avoid active strict saddles of weakly convex functions
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نشر من قبل
Dmitriy Drusvyatskiy
تاريخ النشر
2019
مجال البحث
الهندسة المعلوماتية
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English
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We introduce a geometrically transparent strict saddle property for nonsmooth functions. This property guarantees that simple proximal algorithms on weakly convex problems converge only to local minimizers, when randomly initialized. We argue that the strict saddle property may be a realistic assumption in applications, since it provably holds for generic semi-algebraic optimization problems.
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