User li ang Duan

5 votes

2 answers

350 views

How expressive is $e^A$ in the sense of universal approximation?

asked Oct 10, 2023 at 2:18

2 votes

1 answer

119 views

Any theorem shows that flowmap $\phi_{\sum_{i=1}^n a_i f_i(x)}^\tau$ can be approximated by $\phi_{f_{\theta(t)}(x)}^{\tau'}$?

asked Oct 9, 2023 at 2:23

1 vote

1 answer

192 views

Can orientation preserving diffeomorphism in $\mathbb{R}^d$ be presented by flowmap of dynamical systems?

asked Nov 15, 2023 at 12:30

1 vote

0 answers

131 views

Can we construct a general counterexample to support the weak whitney embedding theorm?

asked Sep 25, 2023 at 14:02

0 votes

2 answers

69 views

Is the right-hand term of the dynamic system equivalent to the original system after being multiplied by a constant?

asked Sep 26, 2023 at 2:36

0 votes

0 answers

73 views

Can we construct general counterexample to support the Weak Whitney theorem? [duplicate]

asked Sep 25, 2023 at 10:42

0 votes

1 answer

39 views

Is the right-hand term of the autonomous dynamic system equivalent to the original system after being multiplied by a constant?

asked Sep 27, 2023 at 12:30

0 votes

1 answer

115 views

Can orientation preserving diffeomorphism in $\mathbb{R}^d$ be presented by flowmap of dynamical systems? (time-varying case)

asked Nov 19, 2023 at 7:35

-1 votes

1 answer

177 views

Can we use linear map to approximate lipschitz continuous function $f$ in a compact domain after some linear transform?

asked Sep 26, 2023 at 3:18

-2 votes

1 answer

217 views

If a continuous function is differentiable at a point, is it differentiable in some neighborhood around that point? [closed]

asked Nov 14, 2023 at 11:16

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10 Questions

How expressive is $e^A$ in the sense of universal approximation?

Any theorem shows that flowmap $\phi_{\sum_{i=1}^n a_i f_i(x)}^\tau$ can be approximated by $\phi_{f_{\theta(t)}(x)}^{\tau'}$?

Can orientation preserving diffeomorphism in $\mathbb{R}^d$ be presented by flowmap of dynamical systems?

Can we construct a general counterexample to support the weak whitney embedding theorm?

Is the right-hand term of the dynamic system equivalent to the original system after being multiplied by a constant?

Can we construct general counterexample to support the Weak Whitney theorem? [duplicate]

Is the right-hand term of the autonomous dynamic system equivalent to the original system after being multiplied by a constant?

Can orientation preserving diffeomorphism in $\mathbb{R}^d$ be presented by flowmap of dynamical systems? (time-varying case)

Can we use linear map to approximate lipschitz continuous function $f$ in a compact domain after some linear transform?

If a continuous function is differentiable at a point, is it differentiable in some neighborhood around that point? [closed]