By using the fractional Fourier transformation of the time-domain signals, closed-form expressions for the projections of their auto or cross ambiguity functions are derived. Based on a similar formulation for the projections of the auto and cross Wigner distributions and the well known two-dimensional (2-D) Fourier transformation relationship between the ambiguity and Wigner domains, closed-fo...

Al-Najjar and Weinstein 2009 propose to scrutinize the implications of recent theories of ambiguity in dynamic settings. They conclude that such implications are so unreasonable as to cast doubts on the legitimacy of the theories under consideration. The present paper argues that the seemingly unreasonable implications highlighted by Al-Najjar and Weinstein can be understood as the result of ba...

ln this paper, we describe an approach to planning sensing slralegies dynamically, based on the system’s current best information about the world. Our approach is for the system to automatically propose a sensing operation, and then to determine the maximum ambiguity which might remain in the world description if that sensing operation were applied. The system then applies that sensing operatio...

We present the concept of nocuous ambiguity, which occurs when text is interpreted differently by different readers. In contrast, text exhibits innocuous ambiguity if different readers interpret it in the same way, even though structural or semantic analyses suggest that multiple interpretations may be possible. We collect multiple human judgements of a set of English phrases obtained from requ...

We analyze a market populated by expected utility maximizers and smooth ambiguity-averse consumers. We study conditions under which ambiguity-averse consumers survive and affect prices in the limit. If ambiguity vanishes with time or if the economy exhibits no aggregate risk, ambiguity-averse consumers survive, but have no long-run impact on prices. In both scenarios, ambiguity-averse consumers...

of seven types of structural ambiguity. In addition, it ap~ ~ ~ ~ f i ~ ~ t ~ have shown that prosody is used by human ]ispeared that the relative size and location of prosodic phrase teners to disambiguate spoken language and, in particular, that boundaries provided the principal prosodic clue for resolvthe relative size and location of prosodic phrase boundaries proing ambiguities. Thus, it s...

A novel feature set for low-dimensional signal representation, designed for classification or clustering of non-stationary signals with complex variation in time and frequency, is presented. The feature representation of a signal is given by the first left and right singular vectors of its ambiguity spectrum matrix. If the ambiguity matrix is of low rank, most signal information in time directi...

In signal subspace parameter estimation techniques, like MUSIC, degradations may occur due to parasite peaks in the spectrum, which may be connected to high sidelobes in the beam pattern or to ambiguities themselves. The aim of this paper is to study the presence of ambiguities in an array of given planar geometry. We propose a general framework for the analysis and thus we obtain a generalisat...

The problem of building recommender systems has attracted considerable attention in recent years. The objective of this paper is to automatically suggest and rank a list of new items to a user based on the past voting patterns of other users with similar tastes. The proposed model can be considered as a Soft Computing-based collaborative recommender system. The combination of Bayesian networks,...

We consider the problem of recovering low-rank matrices from random rank-one measurements, which spans numerous applications including covariance sketching, phase retrieval, quantum state tomography, and learning shallow polynomial neural networks, among others. Our approach is to directly estimate the low-rank factor by minimizing a nonconvex quadratic loss function via vanilla gradient descen...