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15
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Examples of a gradient flow

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#optimization #reference-request #applications #gradient-descent #gradient-flows
24
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Isoperimetric ratio and the boundary of curvature under curve shortening (shrinking) flow

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#riemannian-geometry #ricci-flow #gradient-flows
32
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Finding the Direction of Steepest Descent in a Temperature Field Restricted to a Plane

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#multivariable-calculus #partial-derivative #gradient-flows
85
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Bounded gradient flow solutions without compact sublevel sets

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#optimization #dynamical-systems #non-convex-optimization #gradient-flows
33
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Preconditioned gradient flow keeps boundedness

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#ordinary-differential-equations #riemannian-geometry #geodesic #stability-in-odes #gradient-flows
50
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Structure of the solutions of the matricial ODE: $\dot U(t) = -U^2 - BU$.

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#ordinary-differential-equations #matrix-equations #svd #banach-algebras #gradient-flows
36
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About minimizing dynamic of a convex function

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#real-analysis #convex-optimization #gradient-descent #gradient-flows
122
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Solving $\partial_t \gamma_t(x) = - \gamma_t(x) + \frac{\gamma_t''(x)}{\gamma_t'(x)^2}$, a nonlinear PDE on quantile functions

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#partial-differential-equations #information-theory #nonlinear-system #gradient-flows #quantile-function
46
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Help with an article on convex-splitting method

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#partial-differential-equations #simulation #finite-element-method #gradient-flows
45
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L2 gradient solution time

Published on
#functional-analysis #partial-differential-equations #optimization #laplacian #gradient-flows
51
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Gradient flow of Nesterov accelerated gradient methods

Published on
#optimization #gradient-descent #gradient-flows
63
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(Explaination of) Proof of Global Stable Manifold Theorem in Audin & Damian's book

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#proof-explanation #dynamical-systems #morse-theory #gradient-flows
165
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Are linear interpolation curves on Wasserstein spaces absolutely continuous?

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#curves #geodesic #optimal-transport #gradient-flows #wasserstein
16
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Existence of projection $P$ equivalent to $P' \circ T \circ P''$ for projections $P', P''$ and smooth translation $T$?

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#linear-algebra #projection #gradient-flows
30
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How do we show that narrow convergence is only needed on a spanning uniformly dense subset

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#probability-theory #measure-theory #gradient-flows

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