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How to find the subgradient of $x \mapsto \max \left( (x+1)^2, (x-3)^2 \right) $ at $x=1$?

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#optimization #convex-optimization #subgradient #non-smooth-analysis #non-smooth-optimization
93
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Subdifferential of $f(x) = |c^{T} x|$

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#solution-verification #convex-analysis #subgradient #non-smooth-analysis
113
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Find a subgradient of a real function

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#convex-analysis #subgradient #non-smooth-analysis
152
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Calculate the subgradient at $\pm \sqrt{2}$ for $1/2 x^2$

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#analysis #derivatives #subgradient #non-smooth-analysis
99
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Double derivative of piecewise continuous function

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#derivatives #chain-rule #piecewise-continuity #non-smooth-analysis
302
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Evaluating $\mathrm{\int_0^1 ?(x)dx}$

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#definite-integrals #recreational-mathematics #continued-fractions #constants #non-smooth-analysis
72
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How to find a subdifferential of $(x_1, x_2) \mapsto |x_1 + x_2| + |x_1 - x_2|$?

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#subgradient #non-smooth-analysis
57
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Some basic subdifferential computations

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#calculus #convex-analysis #convex-optimization #non-smooth-analysis #non-smooth-optimization
397
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Calculate subdifferential of a function

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#multivariable-calculus #convex-analysis #subgradient #non-smooth-analysis
242
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Prove that (Clarke's) generalized directional derivative for locally Lipschitz function is subadditive

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#real-analysis #convex-analysis #lipschitz-functions #non-convex-optimization #non-smooth-analysis
1.4k
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Find the subdifferential for $\max\left(x^2,|x|\right)$

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#convex-analysis #subgradient #non-smooth-analysis
363
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Lower bound of a strongly convex function

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#convex-analysis #non-smooth-analysis
26
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Continuity property of sub-differentials

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#sequences-and-series #convex-analysis #subgradient #non-smooth-analysis
498
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Can L-smooth (L>0) convex function to be non-differentiable?

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#convex-analysis #non-smooth-analysis
85
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Subgradient everywhere terminology

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#convex-analysis #subgradient #non-smooth-analysis

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