20 citations · 49 across the 11 of their papers we have counts for
4 papers · 1 filter
Geometric algorithms for sampling the flux space of metabolic networks
Apostolos Chalkis, Vissarion Fisikopoulos, Elias Tsigaridas +1
Systems Biology is a fundamental field and paradigm that introduces a new era in Biology. The crux of its functionality and usefulness relies on metabolic networks that model the r…
Modeling asset allocation strategies and a new portfolio performance score
Apostolos Chalkis, Emmanouil Christoforou, Ioannis Z. Emiris +1
We discuss and extend a powerful, geometric framework to represent the set of portfolios, which identifies the space of asset allocations with the points lying in a convex polytope…
Efficient Sampling from Feasible Sets of SDPs and Volume Approximation
Apostolos Chalkis, Ioannis Emiris, Vissarion Fisikopoulos +2
We present algorithmic, complexity, and implementation results on the problem of sampling points from a spectrahedron, that is the feasible region of a semidefinite program. Our ma…
Volesti: Volume Approximation and Sampling for Convex Polytopes in R
Apostolos Chalkis, Vissarion Fisikopoulos
Sampling from high dimensional distributions and volume approximation of convex bodies are fundamental operations that appear in optimization, finance, engineering, artificial inte…