TY - ELEC
AU - Riley Murray
PY - 2019
TI - SAGE certificates for signomial and polynomial nonnegativity
LA - eng
M3 - Moving Image
AB - The Sums-of-AM/GM-Exponential (SAGE) approach to signomial and polynomial nonnegativity is a powerful proof system based on convex duality and the relative entropy function. In this talk I provide a brief derivation of SAGE certificates for signomials, and review some recent results for SAGE signomials and SAGE polynomials. I will conclude with a small preview of upcoming work: how the "signomial representatives" underlying SAGE polynomials lead to an effective algorithm for solution recovery to moment-SAGE relaxations in polynomial optimization.
N2 - The Sums-of-AM/GM-Exponential (SAGE) approach to signomial and polynomial nonnegativity is a powerful proof system based on convex duality and the relative entropy function. In this talk I provide a brief derivation of SAGE certificates for signomials, and review some recent results for SAGE signomials and SAGE polynomials. I will conclude with a small preview of upcoming work: how the "signomial representatives" underlying SAGE polynomials lead to an effective algorithm for solution recovery to moment-SAGE relaxations in polynomial optimization.
UR - https://open.library.ubc.ca/collections/48630/items/1.0386019
ER - End of Reference