The discrete moment problem aims to find a worst-case distribution that satisfies given set of moments. This paper studies the problems with additional shape constraints guarantee is either log-concave (LC) or has an increasing failure rate (IFR) generalized (IGFR). These classes are useful in practice, applications revenue management, reliability, and inventory control. authors characterize st...

We present a general method for dynamically posting symmetry breaking constraints during search. The basic idea is very simple. Given any set of symmetry breaking constraints, if during search a symmetry of one of these constraints is entailed and this is consistent with previously posted symmetry breaking constraints, then we post this constraint. We illustrate the method with two examples whe...

Abstract. The magnetic susceptibility, specific heat, resistivity and inelastic neutron scattering spectrum were measured on the cubic heavy Fermion compound UMn2Al20. A ferromagnetic transition is observed in the magnetic susceptibility at Tc=20 K, but no anomaly is seen in the specific heat or resistivity at Tc. This behaviour is similar to that of the single-triplet induced moment ferromagne...

Recently the author developed a numerical method for the multidimensional momentconstrained maximum entropy problem, which is practically capable of solving maximum entropy problems in the two-dimensional domain with moment constraints of order up to 8, in the threedimensional domain with moment constraints of order up to 6, and in the four-dimensional domain with moment constraints of order up...

We study goodness-of-fit and independence testing of discrete distributions in a setting where samples are distributed across multiple users. The users wish to preserve the privacy their data while enabling central server perform tests. Under notion local differential privacy, we propose simple, sample-optimal, communication-efficient protocols for these two questions noninteractive setting, ad...