Spectral image analysis problems often begin by performing a preprocessing step composed of applying a transformation that generates an alternative representation of the spectral data. In this paper, a transformation based on a Markov-chain model of a random walk on a graph is introduced. More precisely, we quantify the randomwalk using a quantity known as the average commute time distance and ...

In machine learning, a popular tool to analyze the structure of graphs is the hitting time and the commute distance (resistance distance). For two vertices u and v, the hitting time Huv is the expected time it takes a random walk to travel from u to v. The commute distance is its symmetrized version Cuv = Huv +Hvu. In our paper we study the behavior of hitting times and commute distances when t...

BACKGROUND New transport infrastructure may promote a shift towards active travel, thereby improving population health. The purpose of this study was to determine the effect of a major transport infrastructure project on commuters' mode of travel, trip frequency and distance travelled to work. METHODS Quasi-experimental analysis nested within a cohort study of 470 adults working in Cambridge,...

This study analyses the relation between education and commuting behaviour of Dutch workers. Results show that, ceteris paribus, higher educated workers commute further, both in terms of distance and time. In addition, higher educated workers are more frequent users of public transport and of bicycles. Furthermore, we find that higher educated workers are relatively more likely to commute towar...

This paper offers an econometric model system that simultaneously considers six different activity-travel choice dimensions in a unifying framework. The six dimensions include residential location choice, work location choice, auto ownership, commuting distance, commute mode, and number of stops on commute tours. The paper presents the modeling methodology in detail as well as estimation result...

BACKGROUND Travel-related barriers to human immunodeficiency virus (HIV) care, such as commute time and mode of transportation, have been reported in the United States. OBJECTIVE The objective of the study was to investigate the association between public transportation use and HIV care attendance among a convenience sample of Atlanta-based, HIV-positive men who have sex with men (MSM), evalu...

There have lately been several suggestions for parametrized distances on a graph that generalize the shortest path distance and the commute time or resistance distance. The need for developing such distances has risen from the observation that the above-mentioned common distances in many situations fail to take into account the global structure of the graph. In this article, we develop the theo...

Recently in [1], the authors have given a method for calculation of the effective resistance (resistance distance) on distance-regular networks, where the calculation was based on stratification introduced in [2] and Stieltjes transform of the spectral distribution (Stieltjes function) associated with the network. Also, in Ref. [1] it has been shown that the resistance distances between a node ...

In this paper we describe a novel method for extracting a set of nodes that best capture the connections between k given nodes of interest in a biochemical network. This method relies on the projection of the nodes of the network, seen as an undirected graph, into an euclidean space. Euclidean distances between nodes in the projected space correspond to their commute time distances in the origi...

We evaluate the relationship between job proximity and male joblessness at the neighborhood level in Cleveland and Milwaukee. Using two tract-level measures of proximity to employment (i.e., physical distance and commute time), we Žnd mixed evidence for the spatial mismatch hypothesis. As expected, we Žnd that predominantly black neighborhoods in both cities have higher rates of male joblessnes...