Toss and Spin Juggling State Graphs

We review the state approach to toss juggling and extend the approach to spin juggling, a new concept. We give connections to current research on random juggling and describe a professional-level juggling performance that further demonstrates the state graphs and their research.Comment: 8 pages, 10 figures, to appear in the Proceedings of Bridges 201

Exploring origin of food as a source of meanings for Finnish consumers: A qualitative comparison of meanings in Swedish, German and French food

The findings show that Finnish consumers attach partly overlapping partly distinct cognitive, affective, and normative meanings to Swedish, German, and French food. Swedish and French foods are perceived healthier than German food. Finnish consumers also think that Swedish and French food is of high quality, safe and pure while in the case of German food consumers were more doubtful

Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity

Numerical optimization is used to construct new orthonormal compactly supported wavelets with Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the locations of the roots the scaling filter has on the interval (pi/2,\pi). The results improve those obtained by I. Daubechies [Comm. Pure Appl. Math. 41 (1988), 909-996], H. Volkmer [SIAM J. Math. Anal. 26 (1995), 1075-1087], and P. G. Lemarie-Rieusset and E. Zahrouni [Appl. Comput. Harmon. Anal. 5 (1998), 92-105].Comment: 18 pages, 8 figure

Behaviourally meaningful representations from normalisation and context-guided denoising

Many existing independent component analysis algorithms include a preprocessing stage where the inputs are sphered. This amounts to normalising the data such that all correlations between the variables are removed. In this work, I show that sphering allows very weak contextual modulation to steer the development of meaningful features. Context-biased competition has been proposed as a model of covert attention and I propose that sphering-like normalisation also allows weaker top-down bias to guide attention