bio | website | cs.ox.ac.uk/people/… |
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location | Oxford, United Kingdom | |
age | 51 | |
visits | member for | 4 years, 1 month |
seen | 2 hours ago | |
stats | profile views | 1,865 |
Oct 14 |
revised |
For a Sum-of-Squares cost functions J(x) is it true that J(x)-j* is also SOS?
a typo |
Oct 14 |
comment |
For a Sum-of-Squares cost functions J(x) is it true that J(x)-j* is also SOS?
it works for a different dehomogenesation, cf. my edited answer. |
Oct 14 |
revised |
For a Sum-of-Squares cost functions J(x) is it true that J(x)-j* is also SOS?
corrected the mistake in the answer |
Oct 13 |
comment |
For a Sum-of-Squares cost functions J(x) is it true that J(x)-j* is also SOS?
oops, sorry, my bad. Now I recall seeing this $f^*_{SOS}=-\infty$ somewhere. Probably some other famous example is not as crazy... |
Oct 13 |
answered | For a Sum-of-Squares cost functions J(x) is it true that J(x)-j* is also SOS? |
Oct 6 |
answered | Hankel matrix commuting with a Jacobi matrix |
Oct 2 |
comment |
maximizing a function involving factorial
I'd use the gamma function, which is nice and smooth, and you can use calculus on it. en.wikipedia.org/wiki/Gamma_function |
Oct 1 |
revised |
Regular graphs with strongly regular edge colorings
added 188 characters in body |
Oct 1 |
revised |
Regular graphs with strongly regular edge colorings
deleted 178 characters in body |
Oct 1 |
comment |
Why is the spectrum of this matrix product invariant with respect to order of the multiplicants?
shouldn't $n$'s in the formula for $\sigma$ actually be $k$'s? |
Oct 1 |
revised |
Regular graphs with strongly regular edge colorings
more info added |
Oct 1 |
revised |
Regular graphs with strongly regular edge colorings
deleted 12 characters in body |
Oct 1 |
answered | Regular graphs with strongly regular edge colorings |
Sep 30 |
awarded | Explainer |
Sep 25 |
comment |
pencil of quadrics consisting of singular quadrics
it is essentially about pencils of matrices $A_q$, with $q(x)=x^\top A_q x$. Probably you can only find this in solution sheets to some course or textbook... |
Sep 25 |
comment |
Optimization problem involving an entrywise function
and of course if you do not say anything about $\phi$ then it looks pretty hopeless, |
Sep 25 |
comment |
Optimization problem involving an entrywise function
note that $X^\top\Sigma X$ need not be invertible. |
Sep 24 |
revised |
Hilbert's Theorem on $L_2$ norm of polynomials in $\mathbb{Z}[X]$ - Explicit construction and a converse?
typo in the year |
Sep 24 |
comment |
Conjectured integral for Catalan's constant
can you rewrite your last integral in terms of functions of a real variable? |
Sep 23 |
comment |
nonnegativity conditions for a polynomial in two variables
for more variables nothing of this sort is known; Hilbert's (1893) paper substantially uses quite tricky algebraic geometry of complex plane curves (something that nowadays one would explain using en.wikipedia.org/wiki/Theta_characteristic) |