This paper presents three methods for solving the problem of textual entailment, obtained from an equal number of text-to-text similarity metrics. The first method starts with the directional measure of text-to-text similarity presented in Corley and Mihalcea (2005), and integrates word sense disambiguation and several heuristics. The second method exploits the relations between the cosine dire...

In this paper we prove the differentiability of Lipschitz maps X → V , where X is a complete metric measure space satisfying a doubling condition and a Poincaré inequality, and V denotes a Banach space with the Radon Nikodym Property (RNP). The proof depends on a new characterization of the differentiable structure on such metric measure spaces, in terms of directional derivatives in the direct...

Abstract In this paper we propose a framework for fuzzy clustering of time series based on directional volatility spillovers. the case financial series, detecting clusters spillovers provides insights into market structure, which can be useful to both portfolio managers and policy makers. We measure directional—i.e. “From” “To” others—volatility with methodology generalized forecast-error varia...

Most perceptual quantization algorithms use some kind of activity measure such as variance in determining the quantization step size for local macroblocks in MPEG coding. In this paper, we use directional total variation as a new kind of activity measure to develop a novel adaptive quantization algorithm. The scheme is contrasted with a method proposed by Puri and Aravind. Simulation result sug...

This study examines the productivity changes of decision making units in situation where input price vectors are varying between them and inputs are heterogeneous; that is a noncompetitive market. We present a directional measure of cost Malmquist productivity index where incorporates the decision maker's preference over productivity change over time. A simple numerical example is designed to i...

-The gray level distribution around a pixel of an image usually tends to be more coherent in some directions compared to other directions. The idea of adaptive directional filtering is to estimate the direction of higher coherence around each pixel location and then to employ a window which approximates a line segment in that direction. Hence, the details of the image may be preserved while mai...

Comprehensive methods must be used for portfolio optimization. For this purpose, financial data of stock companies, inputs and outputs variable, the risk measure and investor’s preferences must be considered. By considering these items, we propose a method for portfolio optimization. In this paper, we used financial data of companies for screening the stock companies. We used Conditional Value ...

In design and analysis, standard references assume the pedestrian flow as unidirectional. In reality however, pedestrian flow is usually bi-directional. The main question pursued in this paper is that whether the main characteristics of pedestrian flow the same under uni- and bi-directional conditions. In order to achieve this goal, effect of bi-directional stream is inv...