The flow-driven spectral chaos (FSC) is a recently developed method for tracking and quantifying uncertainties in the long-time response of stochastic dynamical systems using approach. uses novel concept called enriched flow maps as means to construct an evolving finite-dimensional random function space that both accurate computationally efficient time. In this paper, we present multi-element v...

This paper considers the derivative of the entropy rate of a hidden Markov process with respect to the observation probabilities. The main result is a compact formula for the derivative that can be evaluated easily using Monte Carlo methods. It is applied to the problem of computing the capacity of a finite-state channel (FSC) and, in the high-noise regime, the formula has a simple closed-form ...

Given a class of graphs F , a forbidden subgraph characterization (FSC) is a set of graphs H such that a graph G belongs to F if and only if no graph of H is isomorphic to an induced subgraph of G. FSCs play a key role in graph theory, and are at the center of many important results obtained in that field. In this paper, we present novel methods that automate the generation of conjectures on FS...

Friction Surfacing Cladding (FSC) is a relatively new solid state process to deposit thin metallic clad layers on substrates. It employs a hollow rotating tool that supplies the clad material. Frictional and viscous heating take place that soften the clad material and enhance the bonding of the clad material to the substrate. Thin layers of commercially pure aluminium can be deposited well on a...

We present a new catalogue, the Imperial IRAS-FSC Redshift Catalogue (IIFSCz), of 60,303 galaxies selected at 60μm from the IRAS Faint Source Catalogue (FSC). The IIFSCz consists of accurate position, optical, near-infrared and/or radio identifications, spectroscopic redshift (if available) or photometric redshift (if possible), predicted far-infrared (FIR) and submillimetre (submm) fluxes rang...

Snow cover changes over the Tibetan plateau (TP) are examined using moderate resolution imaging spectroradiometer (MODIS) daily fractional snow cover (FSC) data from 2001 to 2011 as well as in situ temperature data. First, the accuracy of the MODIS FSC data under clear sky conditions is evaluated by comparing with Landsat 30-m observations. Then we describe a cloud-gap-filled (CGF) method using...