English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We provide two hybrid numeric-symbolic optimization algorithms, computingexact sums of nonnegative circuits (SONC) and sums ofarithmetic-geometric-exponentials (SAGE) decompositions. Moreover, we provide ahybrid numeric-symbolic decision algorithm for polynomials lying in theinterior of the SAGE cone. Each framework, inspired by previous contributionsof Parrilo and Peyrl, is a rounding-projection procedure.  For a polynomial lying in the interior of the SAGE cone, we prove that thedecision algorithm terminates within a number of arithmetic operations, whichis polynomial in the number of terms of the input, and linear in the distanceto the boundary of the cone. We also provide experimental comparisons regardingthe implementation of the two optimization algorithms.

Exact Optimization via Sums of Nonnegative Circuits and Sums of AM/GM Exponentials