Geometric Back-Propagation in Morphological Neural Networks

This paper provides a definition of back-propagation through geometric correspondences for morphological neural networks. In addition, dilation layers are shown to learn probe geometry by erosion of layer inputs and outputs. A proof-of-principle is provided, in which predictions and convergence of morphological networks significantly outperform convolutional networks

Multi-scale correlations in different futures markets

In the present work we investigate the multiscale nature of the correlations for high frequency data (1 minute) in different futures markets over a period of two years, starting on the 1st of January 2003 and ending on the 31st of December 2004. In particular, by using the concept of "local" Hurst exponent, we point out how the behaviour of this parameter, usually considered as a benchmark for persistency/antipersistency recognition in time series, is largely time-scale dependent in the market context. These findings are a direct consequence of the intrinsic complexity of a system where trading strategies are scale-adaptive. Moreover, our analysis points out different regimes in the dynamical behaviour of the market indices under consideration.Comment: 14 pages and 25 figure

Ultra short pulse laser generated surface textures for anti-ice applications in aviation

By laser ablation with ultra short laser pulses in the pico- and femto-second range, well controlled dual scaled micro- and nano-scaled surface textures can be obtained. The micro-scale of the texture is mainly determined by the dimensions of the laser spot, whereas the superimposed nano-structure is the result of socalled laser induced “self organizing nanostructuring”. By controlling this micro-nano surface texture, it is possible to modify the natural hydrophobicity of materials. This paper investigates the anti-ice properties of these hydrophobic micro-nano surface textures. Leading edges, engine inlets etc. of airplanes are prone to iceaccretion in certain icing conditions. Ice can distort the flow of air over the wing, reducing the aircrafts aerodynamic performance. Moreover, take-off is not permitted if ice contamination on the aircraft's surfaces exists. Two materials, popular in aviation, a titanium alloy (Ti-6Al-4V) and a stainless steel (1.4544.9), were laser-machined using UV laser pulses of 6.7 ps at 200 kHz. Surface textures were physically analyzed using optical microscopy and SEM. Coatings, on top of the textures, were applied to create super-hydrophobicity. The hydrophobicity of the surfaces was quantified by contact angle measurements. The anti-ice properties of the surfaces were tested in a climate chamber

Reversing Blood Flows Act through klf2a to Ensure Normal Valvulogenesis in the Developing Heart

Heart valve anomalies are some of the most common congenital heart defects, yet neither the genetic nor the epigenetic forces guiding heart valve development are well understood. When functioning normally, mature heart valves prevent intracardiac retrograde blood flow; before valves develop, there is considerable regurgitation, resulting in reversing (or oscillatory) flows between the atrium and ventricle. As reversing flows are particularly strong stimuli to endothelial cells in culture, an attractive hypothesis is that heart valves form as a developmental response to retrograde blood flows through the maturing heart. Here, we exploit the relationship between oscillatory flow and heart rate to manipulate the amount of retrograde flow in the atrioventricular (AV) canal before and during valvulogenesis, and find that this leads to arrested valve growth. Using this manipulation, we determined that klf2a is normally expressed in the valve precursors in response to reversing flows, and is dramatically reduced by treatments that decrease such flows. Experimentally knocking down the expression of this shear-responsive gene with morpholine antisense oligonucleotides (MOs) results in dysfunctional valves. Thus, klf2a expression appears to be necessary for normal valve formation. This, together with its dependence on intracardiac hemodynamic forces, makes klf2a expression an early and reliable indicator of proper valve development. Together, these results demonstrate a critical role for reversing flows during valvulogenesis and show how relatively subtle perturbations of normal hemodynamic patterns can lead to both major alterations in gene expression and severe valve dysgenesis