List questions from gradient-flows

Published on 25 Mar 2026 - 6:04

88

Views

Show that the solution of $\frac{\rm d}{{\rm d}t}X^x(t)=v(t,X^x(t))$, $X^x(0)=x$, is differentiable in $x$

Published on 17 Aug 2020 - 17:23

11

Views

Show that for this family $T_t(x)$ of diffeomorphisms ${\rm D}T_t(x)$ is continuous in $t$ uniformly with respect to $x$

Published on 26 Feb 2026 - 4:21

84

Views

Why this $G$ is non empty?

Published on 23 Aug 2020 - 3:19

48

Views

Differential-gradient equations?

Published on 26 Mar 2026 - 19:03

71

Views

$ \dot{\phi}(t)=-\omega(\phi(t)) \nabla F(\phi(t)), \ \phi(0)=x$. Prove that the solution of the IVP can be defined on $[0,+\infty)$.

Published on 21 Oct 2020 - 14:26

45

Views

Do we call this a flow? and why so.

Published on 29 Dec 2020 - 20:44

73

Views

Taking Velocity Derivative wrt X

Published on 13 Jan 2021 - 13:06

195

Views

Divergence free vector fields in general measure space

Published on 24 Feb 2026 - 7:03

344

Views

A good introduction to gradient flows?

Published on 18 Feb 2021 - 17:08

24

Views

How do I deal with non-matching units in 2D dynamical systems?

Published on 27 Feb 2021 - 5:01

78

Views

Does the limit of gradient flow from a given initial value depend on the choice of inner product?

Published on 04 Mar 2021 - 10:52

50

Views

Gradient like dynamical system

Published on 22 Mar 2021 - 3:32

172

Views

Is gradient descent nothing other than discretized gradient flow?

Published on 25 Mar 2026 - 15:58

36

Views

Gradient Descent over $f(x)=\frac{1}{2} \sum_{i=1}^d a_i x_i^2$

Published on 27 Mar 2021 - 11:09

List Question

Is the union of stable manifolds of gradient flows an open?

Show that the solution of $\frac{\rm d}{{\rm d}t}X^x(t)=v(t,X^x(t))$, $X^x(0)=x$, is differentiable in $x$

Show that for this family $T_t(x)$ of diffeomorphisms ${\rm D}T_t(x)$ is continuous in $t$ uniformly with respect to $x$

Why this $G$ is non empty?

Differential-gradient equations?

$ \dot{\phi}(t)=-\omega(\phi(t)) \nabla F(\phi(t)), \ \phi(0)=x$. Prove that the solution of the IVP can be defined on $[0,+\infty)$.

Do we call this a flow? and why so.

Taking Velocity Derivative wrt X

Divergence free vector fields in general measure space

A good introduction to gradient flows?

How do I deal with non-matching units in 2D dynamical systems?

Does the limit of gradient flow from a given initial value depend on the choice of inner product?

Gradient like dynamical system

Is gradient descent nothing other than discretized gradient flow?

Gradient Descent over $f(x)=\frac{1}{2} \sum_{i=1}^d a_i x_i^2$

Trending Questions

Popular # Hahtags

Popular Questions