The "weighted ensemble" method, introduced by Huber and Kim [Biophys. J. 70, 97 (1996)], is one of a handful of rigorous approaches to path sampling of rare events. Expanding earlier discussions, we show that the technique is statistically exact for a wide class of Markovian and non-Markovian dynamics. The derivation is based on standard path-integral (path probability) ideas, but recasts the w...

Abstract: We present a method for optimizing adaptation laws that are generalizations of the LMS algorithm. Timevarying parameters of linear regression models are estimated in situations where the regressors are stationary or have slowly time-varying properties. The parameter variations are modeled as ARIMA-processes and the aim is to use such prior information to provide high performance filte...

Galois theory translates questions about fields into questions about groups. The fundamental theorem of Galois theory states that there is a bijection between the intermediate fields of a field extension and the subgroups of the corresponding Galois group. After a basic introduction to category and Galois theory, this project recasts the fundamental theorem of Galois theory using categorical la...

In this work, we consider the problem of estimating probability distribution, quantile or conditional expectation above quantile, so called conditional-value-at-risk, output quantities complex random differential models by MLMC method. We follow approach (reference), which recasts estimation to computation suitable parametric expectations. present novel computable error estimators for such quan...

The OAI Object Reuse and Exchange (OAI-ORE) framework recasts the repository-centric notion of digital object to a bounded aggregation of Web resources. In this manner, digital library content is more integrated with the Web architecture, and thereby more accessible to Web applications and clients. This generalized notion of an aggregation that is independent of repository containment conforms ...

Spectral methods requiring the computation of eigenvalues and eigenvectors of a positive definite matrix are an essential part of signal processing. However, for sufficiently high-dimensional data sets, the eigenvalue problem cannot be solved without approximate methods. We examine a technique for approximate spectral analysis and low-rank matrix reconstruction known as the Nyström method, whic...

This paper recasts current theories of regulatory or legislative competition. Building on the recent contribution of Buchanan and Yoon (2000) [Buchanan, J., & Yoon, R. Symmetric tragedies: Commons and anticommons. The Journal of Law and Economics, 43(1), 1–14], we consider alternative ways in which decision-making competence can be allocated among multiple legislative or administrative bodies. ...