Tags » Convexity

Convexity at 360learning.com: accelerated growth in a rational, and healthy work environment

360Learning is a startup dedicated to online learning for corporations, based on collaborative and social Learning Managment Software. 360Learning has implemented a very specific organization with its employees, that fosters accelerated growth while maintaing a rational and healthy work environment for its employees. 1,716 more words

Innovation

Sparse reconstruction with ℓ∞ constraints

Last week Christoph Brauer, Andreas Tillmann and myself uploaded the paper A Primal-Dual Homotopy Algorithm for -Minimization with -Constraints to the arXiv (and we missed being the first ever arXiv-paper with a non-trivial five-digit identifier by twenty-something papers…). 761 more words

Optimization

Quasi Star (not Correlative) Convexity

Yesterday I published a post on a convexity-like concept here I learned about in this post. I’m going to copy my post below, with a couple additions, and a terminology change: what I there called -correlative convexity (-CC) I’m going to call here quasi star convexity (-QSC). 2,249 more words

Convergence of the iterates of the gradient method with constant stepsize

The gradient method with constant step length is the simplest method for solving unconstrained optimisation problems involving a continuously differentiable function with Lipschitz-continuous gradient. The motivation for this post came after reading this… 443 more words

Convergence

Correlative (vs Quasi) Convexity

Update: See this updated post.

Playing around in the web I found this interesting post on stochastic gradient descent.

I haven’t fully absorbed the post, so I’m likely to write more. 1,732 more words

Math

Pretty convexity result

Where here we discover some interesting facts about continuous convex functions.

We know that a function is convex if

for all and .

We see that if is a continuous function, then an equivalent condition for convexity is that either of the following inequalities holds 108 more words

Variational Analysis