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Dynamics of Loss in Homogeneous, Non-Smooth Models Using Clarke Subdifferential

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#derivatives #optimization #non-convex-optimization #non-smooth-analysis #non-smooth-optimization
39
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Directional derivative of maximum function

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#convex-analysis #convex-optimization #non-smooth-analysis #non-smooth-optimization
251
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When do two functions have the same subdifferentials?

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#convex-analysis #convex-optimization #subgradient #non-smooth-analysis #non-smooth-optimization
3.2k
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Subgradient of the $\ell_0$ "norm"

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#optimization #subgradient #non-smooth-analysis
5k
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How equality in Fenchel-Young inequality characterizes subdifferential?

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#convex-analysis #subgradient #non-smooth-analysis
3.5k
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Subderivative of $ ||Au||_{L^{\infty}} $ to Compute Proximal Operator / Prox Operator

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#optimization #convex-optimization #banach-spaces #proximal-operators #non-smooth-analysis
1.4k
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Clarke's generalized gradient formula computed on functions defined on open sets

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#real-analysis #functional-analysis #derivatives #control-theory #non-smooth-analysis
2.6k
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Is the subdifferential always convex and closed set?

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#real-analysis #convex-analysis #locally-convex-spaces #non-smooth-analysis
11.9k
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Deriving the sub-differential of the nuclear norm

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#matrices #convex-optimization #matrix-norms #nuclear-norm #non-smooth-analysis
2.2k
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Subdifferential of the sum

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#convex-analysis #subgradient #non-smooth-analysis
197
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Directional subderivatives: definition and computation

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#real-analysis #functional-analysis #vector-spaces #subgradient #non-smooth-analysis
273
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A question about properties of convex subdifferential

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#real-analysis #functional-analysis #convex-analysis #nonlinear-analysis #non-smooth-analysis
3.5k
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Chain rule for subdifferential

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#convex-analysis #convex-geometry #non-smooth-analysis
1.8k
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Lagrange multipliers with non-smooth constraints

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#multivariable-calculus #optimization #lagrange-multiplier #non-smooth-analysis #non-smooth-optimization
1.6k
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Generalizing Lagrange multipliers to use the subdifferential

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#multivariable-calculus #optimization #lagrange-multiplier #non-smooth-analysis #non-smooth-optimization

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