Exponential Data Fitting and its Applications

Indexed in: Scopus

Real and complex exponential data fitting is an important activity in many different areas of science and engineering, ranging from Nuclear Magnetic Resonance Spectroscopy and Lattice Quantum ...
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Exponential time series in lattice quantum field theory

Pp. 71-93 (23)

Saul D. Cohen, George T. Fleming and Huey-Wen Lin

Abstract

Exponential time series analysis has been an integral part of lattice quantum field theory calculations for three decades. Until recently, the level of sophistication has been relatively modest since the number of computable time samples was limited by available computational resources to at most a few dozen times, enabling the reliable estimation of only a few exponentials. Recent algorithmic advances, coupled with continued growth in high performance computing following Moore’s Law, has enabled calculations of exponential time series with a hundred or more time samples and generated new interest in finding reliable analysis methods for estimating many exponentials. We review the methods currently used to analyze lattice quantum field theory calculations.

Keywords:

Exponential time series; lattice quantum chromodynamics.

Affiliation:

Thomas Jefferson National Accelerator Facility Newport News, VA 23606, USA.