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Gradient of the elastic net with extra terms

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#normed-spaces #matrix-calculus #subgradient
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#optimization #convex-analysis #convex-optimization #subgradient
418
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#convex-optimization #subgradient
235
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$\nabla f$ Lipschitz & $f$ Lipschitz (Lipshitz of function's gradient and lipshitz function )

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#convex-optimization #lipschitz-functions #subgradient
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Gradient of a Lagrange dual function

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#convex-optimization #lagrange-multiplier #duality-theorems #subgradient
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The Proximal Operator of the Linear Equality of 2 Variables

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#convex-analysis #convex-optimization #normed-spaces #subgradient #proximal-operators
804
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Geometric concept of $A$-orthogonality, $A\succ 0$

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#vector-spaces #orthogonality #subgradient
30
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Gradient on curves

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#algebraic-curves #subgradient
46
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Conditions of convergence of stochastic subgradient algorithm

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#convex-optimization #subgradient
354
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Scaling Property of the Proximal Operator

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#linear-algebra #convex-optimization #subgradient #proximal-operators
5k
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How equality in Fenchel-Young inequality characterizes subdifferential?

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#convex-analysis #subgradient #non-smooth-analysis
71
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How to find the subgradients of $f(x)=\|x\|^2-1$ if $\|x\|\geq 1$, $f(x)=0$ if $\|x\|\leq 1$, $x\in\mathbb{R}^2$.

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#subgradient
588
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Subgradient at the boundary of a closed set

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#convex-analysis #subgradient
105
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Can a subgradient always be found in polynomial time?

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#convex-optimization #subgradient
2.4k
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Proximal Operator of the Huber Loss Function

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#convex-optimization #subgradient #proximal-operators #robust-statistics

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