Abstract. We address, in this chapter, the identification of typical patterns that best characterize a set of sequences. More specifically, we focus on data-driven methods that search for the typical patterns among the observed sequences. In life course studies, such typical sequences serve, for instance, to describe ideal-type life trajectories; i.e., the common way(s) of organizing our life. ...

We show how the quantum-to-classical transition of the cosmological fluctuations produced during an inflationary stage can be described using the consistent histories approach. We identify the corresponding histories in the limit of infinite squeezing. To take the decaying mode into account, we propose an extension to coarse-grained histories. PACS Numbers: 04.62.+v, 98.80.Cq

Quantum trajectory theory, developed largely in the quantum optics community to describe open quantum systems subjected to continuous monitoring, has applications in many areas of quantum physics. In this paper I present a simple model, using two-level quantum systems (q-bits), to illustrate the essential physics of quantum trajectories and how different monitoring schemes correspond to differe...

Consistent Hashing functions are widely used for load balancing across a variety of applications. However, the original presentation and typical implementations of Consistent Hashing rely on randomised allocation of hash codes to keys which results in a flawed and approximately-uniform allocation of keys to hash codes. We analyse the desired properties and present an algorithm that perfectly ac...

Locally consistent parsing (LCP) is a context sensitive partitioning method which achieves partition consistency in (almost) linear time. When iteratively applied, LCP followed by consistent block labeling provides a powerful tool for processing strings for a multitude of problems. In this paper we summarize applications of LCP in approximating well known distance measures between pairs of stri...

This paper presents a new method to correct for measurement error in wage data and applies this method to address an old question. How much downward wage flexibility is there in the U.S? We apply standard methods developed by Bai and Perron (1998b) to identify structural breaks in time series data. Applying these methods to wage histories allows us to identify when each person experienced a cha...