Consider the product of $2n$ two-spheres $X_n=(S^2)^{2n}$. This manifold admits an orientation preserving involution that preserves the product structure and acts as the (orientation reversing) central symmetry for each $S^2$. Is it possible to say for which $n$ the quotient manifold $X_n/\mathbb...
This lemma is used in the context of online convex optimisation. It is sometimes called the 'Be the Leader Lemma'.
Lemma:
Suppose $f_1,f_2,\ldots,f_N$ are real valued functions with the same domain. Define each $F_n = f_1 + \ldots + f_n$ and let $y_n$ be a minimiser of $F_n$. Then we have $...
The tags oc.optimization-and-control seems like the top-level tag for posts related to optimization. I am not sure what is a suitable top-level tag for the topic of machine learning. (Perhaps computer-science also behaves a bit like a top-level tag?)
I would not consider my queries entirely reliable, but probably they can be considered at least a rough estimate. 146 questions for abstract-algebra, 713 questions for geometry and 68 questions for discrete-mathematics.
This lemma is used in the context of online convex optimisation. It is sometimes called the 'Be the Leader Lemma'.
Lemma:
Suppose $f_1,f_2,\ldots,f_N$ are real valued functions with the same domain. Define each $F_n = f_1 + \ldots + f_n$ and let $y_n$ be a minimiser of $F_n$. Then we have $...
