This lecture note reviews recently proposed sparse-modeling approaches for efficient ab initio many-body calculations based on the data compression of Green's functions. The techniques are a compact orthogonal basis, an intermediate representation (IR) imaginary-time and Matsubara A sparse sampling method IR basis enables solving diagrammatic equations efficiently. We describe basic properties ...

The wetlands of the Gulf Coast region of the United States are under pressure from relative sea level rise and subsidence pressures that threaten to alter fishery breeding grounds and increase expected damage from stochastic storm events, among other issues. Barrier islands, marshes, and swamps are thus forms of natural capital that serve both an intermediate role in supporting fishery stocks, ...

In this paper, we present multipliers using a modified addition algorithm modulo m with a signed-digit(SD) number representation where m = 2 − 1, 2 or 2 + 1. To simplify an SD modular adder, new addition rules are proposed for generating the intermediate sum and carry with a binary number representation. By using the new codes for intermediate sum and carry and the end-around carry architecture...