Functionally constrained stochastic optimization problems, where neither the objective function nor constraint functions are analytically available, arise frequently in machine learning applications. In this work, assuming we only have access to noisy evaluations of and functions, propose analyze zeroth-order algorithms for solving class problem. When domain is [Formula: see text], there m esta...

Abstract In this paper, we give various lower and upper bounds for the energy of graphs in terms several topological indices graphs: first general multiplicative Zagreb index, Randić zeroth-order redefined indices, atom-bond connectivity index. Moreover, obtain new certain graph invariants as diameter, girth, algebraic radius.

Compression boosting (Ferragina & Manzini, SODA 2004) is a new technique to enhance zeroth order entropy compressors’ performance to k-th order entropy. It works by constructing the BurrowsWheeler transform of the input text, finding optimal partitioning of the transform, and then compressing each piece using an arbitrary zeroth order compressor. The optimal partitioning has the property that t...