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  • 13 votes cast
Nov
24
awarded  Scholar
Nov
24
accepted Cyclic monotonicity of sub-differential domain and convex property
Nov
23
revised Example of a subgroup
added 221 characters in body
Nov
23
answered Example of a subgroup
Nov
23
awarded  Yearling
Nov
23
answered The convergence criteria in Newton's method
Aug
2
awarded  Critic
Jun
26
answered Easy math proofs or visual examples to make high school students enthusiastic about math
May
31
comment Quantization minimizing the quadratic error
Yes ${y_1,y_2,\dots,y_N}$ and $f$ are optimization variables. Futhermore $f$ can't be injective (one to one) since $M > N$
May
30
comment Quantization minimizing the quadratic error
$f$ is simply a function from $\{0,\dots, M\}$ into $\{0,\dots, N\}$. It is a parameter of the minimisation.
May
28
awarded  Commentator
May
28
comment Can this multidimensional non-linear equation with constraints be minimized analytically?
First of all, as a software developper I am not a linear programmer expert. You should have noticed that this is a linearly constrained least-squares problem. And since you are constricting $w$ within a polyhedron. If the solution of the unconstrained least-squares problem lies within this polyhedron you're good. But in any other case, the solution will be on a face of the polyhedron. Which one ? It is a discrete non-continuous function of $P$ and $q$ which would invole many cases.
May
28
asked Quantization minimizing the quadratic error
Jan
25
comment Cyclic monotonicity of sub-differential domain and convex property
Thank you ! I will try to find this book next week. (I am sure it must exist an elegant proof to this characterization)
Jan
18
revised Cyclic monotonicity of sub-differential domain and convex property
edited title
Jan
18
revised Cyclic monotonicity of sub-differential domain and convex property
deleted 2 characters in body
Jan
18
awarded  Promoter
Jan
13
comment Cyclic monotonicity of sub-differential domain and convex property
ps : I am a french computer science student and I didn't have much time to delve deeper that's why I asked this question.
Jan
13
asked Cyclic monotonicity of sub-differential domain and convex property
Jul
1
awarded  Student