This chapter deals with constraint-based multidimensional modelling. The model we define integrates a constellation of facts and dimensions. Along each dimension, various hierarchies are possibly defined and the model supports multiple instantiations of dimensions. The main contribution is the definition of intra-dimension constraints between hierarchies of a same dimension as well as inter-dim...

1. Preliminaries In this section we list a few results from the literature that will be utilized in the proof of Theorem 1. Proposition 1 (Lemma 1 in (Ben-David et al., 2010)). Let d be the VC dimension of the hypothesis set H and S1, S2 be two i.i.d. samples of size n from D1 and D2 respectively. Then for any δ > 0 with probability at least 1− δ: disc(D1, D2)≤disc(S1, S2)+2 √ 2d log(2n) + log(...

Let F = F(t, x) be a bounded, Hausdorff continuous multifunction with compact, totally disconnected values. Given any y0 ∈ F(t0, x0), we show that the differential inclusion ẋ ∈ F(t, x)⊂ Rm has a globally defined classical solution, with x(t0)= x0, ẋ(t0)= y0. © 2008 Elsevier Inc. All rights reserved.

We propose and study the problem of generative multi-agent behavioral cloning, where the goal is to learn a generative multi-agent policy from pre-collected demonstration data. Building upon advances in deep generative models, we present a hierarchical policy framework that can tractably learn complex mappings from input states to distributions over multi-agent action spaces. Our framework is f...

Dimension-based accounts of visual search and selection have significantly contributed to the understanding of the cognitive mechanisms of attention. Extensions of the original approach assuming the existence of dimension-based feature contrast saliency signals that govern the allocation of focal attention have recently been employed to explain the spatial and temporal dynamics of the relative ...

the current study aims to examine and identify competency dimensions, factors and indices for managers of science and technology parks of iranian public university in order to present of a conceptual model. the targeted population consisted of two parts including experts in the field and managers and experts in science and technology parks. for this purpose, exploratory method was used and data...

We asses the ability of a distance correlation coefficient (DiCC), calculated from distance covariance, for detecting long-range concerted motion in proteins. We establish a set of criteria for ideal correlation coefficient values based on the coefficient of determination in multi-dimension, R2. We compare in detail DiCC and conventional coefficients against these criteria. We demonstrate that ...

Subjective assessment of emotional valence is typically associated with both brain activity and autonomic arousal. Accurately assessing emotional salience is particularly important when perceiving threat. We sought to characterize the neural correlates of the interaction between behavioral and autonomic responses to potentially threatening visual and auditory stimuli. Twenty-five healthy male s...