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Subdifferential

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#calculus #optimization #convex-analysis #convex-optimization #non-smooth-analysis
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Is the Clarke Subdifferential always defined for Lipschitz continuous functions?

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#calculus #non-convex-optimization #variational-analysis #non-smooth-analysis
309
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Compute the Clarke subdifferential of a function

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#calculus #optimization #non-smooth-analysis
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Computing subgradients, a basic example.

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#convex-analysis #subgradient #non-smooth-analysis
608
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Characterizing subdifferential of nuclear norm of $X^T X$

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#matrices #derivatives #matrix-calculus #nuclear-norm #non-smooth-analysis
253
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Uses of nonsmooth analysis in mathematical research

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#real-analysis #convex-analysis #convex-optimization #non-smooth-optimization #non-smooth-analysis
468
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Computing subderivative for two variable function

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#optimization #convex-analysis #maxima-minima #subgradient #non-smooth-analysis
1.3k
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Gradient of $A \mapsto \sigma_i (A)$

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#matrices #derivatives #matrix-calculus #singular-values #non-smooth-analysis
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Subdifferential of $f = \max \{f_1(x), f_2(x) \}$

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#derivatives #convex-analysis #non-smooth-analysis
700
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Subgradient of a strictly convex function

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#convex-analysis #subgradient #non-smooth-analysis
509
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Chain rule for subdifferentials of nonconvex functions

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#reference-request #chain-rule #non-smooth-analysis
46
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Sub-differential of a convex function along a particular direction

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#convex-analysis #non-smooth-analysis #non-smooth-optimization
217
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About Subdifferential of matrix norm

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#matrices #convex-analysis #matrix-norms #subgradient #non-smooth-analysis
472
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Expression for the Clarke subdifferential of a weakly convex function

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#functional-analysis #reference-request #convex-analysis #non-smooth-analysis
5.1k
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Definition of subgradient of $1$-norm

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#derivatives #convex-analysis #normed-spaces #subgradient #non-smooth-analysis

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