15,284 reputation
33583
bio website suvrit.de
location Internet
age
visits member for 4 years, 11 months
seen 1 min ago

Researcher in Optimization and Machine Learning.

Hobbyist in Inequalities, Matrix Analysis, Combinatorics, Algebra, etc.

I'm here mostly to learn mathematics!


19h
awarded  Necromancer
1d
comment Any interesting properties of the matrix $M:=(m_{ij})$ with $m_{ij}=min(i,j)$?
This is a very interesting matrix (Brownian bridge kernel); for instance, see section 3 of my notes: arxiv.org/pdf/1411.4107v2.pdf
1d
reviewed Close How many techniques are there to test colliniarity of n points?
2d
awarded  Reviewer
2d
reviewed Leave Open soft: Reference/ Suggested Read: Homological Algebraic techniques in PDEs
2d
reviewed Close Indecomposable commutative rings
Aug
1
reviewed Leave Open Particular case of Beal's Conjecture
Aug
1
answered Algorithm to quickly compute the individual inverses of a linear sequence of matrices
Jul
29
reviewed Close Recursion, Common Term, Combinatorics
Jul
28
comment Number of bases of a matroid
I was confused with the notation; if you only pick $a_1,b_1$ and $a_2, b_2$ but set the rest $a_i, b_i$ to zero, then the constraints $a_i,b_i \ge 1$ get violated. I guess, you are also optimizing over $k$ at the same time, not just over $a_i,b_i$, which explains my confusion! Thanks.
Jul
28
reviewed Close Crossing all boundaries on a map?
Jul
28
reviewed Close Pairwise distance distribution for point clouds (normal distribution)
Jul
28
comment Number of bases of a matroid
Is it really $a_i, b_i \ge 1$ for all $i$? In which case the unconstrained minimum value is with $a_i=b_i=1$ --- but this could violate the summation constraints, but in any case, this is going to be different from the $a_1,b_1$ claim in your comment..
Jul
27
awarded  Guru
Jul
27
comment Eigenvalues of the sum of two matrices, where one is $B=\operatorname{diag}(1, 0,\dots,0)$
Have a look at: cs.vu.nl/~ran/LectureBerlijn2010.pdf --- basically, your problem is that of determining eigenvalues after a rank-one perturbation...
Jul
26
comment Which journals publish applied mathematics with mostly pure mathematics content?
@NateEldredge: I doubt that; I once received a review that explicitly asked me to delete all details about the applied stuff and numerical results, and to retain only the math (which the referee found publishable), with at best citations to applied contexts!
Jul
26
comment Computer calculations in a paper
In addition to putting stuff in the paper, a practical alternative is to make mathematica (or other relevant software) notebooks available online, in addition to any amount of additional written supplementary material. This material serves the purpose of making the work "more verifiable" --- and saves on valuable space in the paper, which I think should be used to include the "highlights" of even the computational part.
Jul
24
comment integral schur function over standard simplex
An impractical idea (perhaps a totally useless one): write the Schur polynomials as a sum of monomial symmetric functions, then integrate those using "standard" methods, and conclude ...
Jul
24
reviewed Close Eigenvalue Problem — prove eigenvalue for A^2 + I
Jul
24
reviewed Close How to calculate $det(X^TX)$ efficiently, update one column of X each time