Rigorous Probabilistic Analysis of Equilibrium Crystal Shapes

The rigorous microscopic theory of equilibrium crystal shapes has made enormous progress during the last decade. We review here the main results which have been obtained, both in two and higher dimensions. In particular, we describe how the phenomenological Wulff and Winterbottom constructions can be derived from the microscopic description provided by the equilibrium statistical mechanics of lattice gases. We focus on the main conceptual issues and describe the central ideas of the existing approaches.Comment: To appear in the March 2000 special issue of Journal of Mathematical Physics on Probabilistic Methods in Statistical Physic

Multiway Array Decomposition Analysis of EEGs in Alzheimer’s Disease

Methods for the extraction of features from physiological datasets are growing needs as clinical investigations of Alzheimer’s disease (AD) in large and heterogeneous population increase. General tools allowing diagnostic regardless of recording sites, such as different hospitals, are essential and if combined to inexpensive non-invasive methods could critically improve mass screening of subjects with AD. In this study, we applied three state of the art multiway array decomposition (MAD) methods to extract features from electroencephalograms (EEGs) of AD patients obtained from multiple sites. In comparison to MAD, spectral-spatial average filter (SSFs) of control and AD subjects were used as well as a common blind source separation method, algorithm for multiple unknown signal extraction (AMUSE). We trained a feed-forward multilayer perceptron (MLP) to validate and optimize AD classification from two independent databases. Using a third EEG dataset, we demonstrated that features extracted from MAD outperformed features obtained from SSFs AMUSE in terms of root mean squared error (RMSE) and reaching up to 100% of accuracy in test condition. We propose that MAD maybe a useful tool to extract features for AD diagnosis offering great generalization across multi-site databases and opening doors to the discovery of new characterization of the disease

Phase Coexistence For The Kac Ising Models

We derive the Wulff construction for Kac Ising models with long but finite range interaction in dimensions d >= 2. Some open problems concerning the phase coexistence for more general models are also discussed

Classification of Alzheimer Disease on Imaging Modalities with Deep CNNs Using Cross-Modal Transfer Learning.

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Real-Time and Distributed AV Content Analysis System for Consumer Electronics Networks

ABSTRACT The ever-increasing complexity of generic MultimediaContent-Analysis-based (MCA) solutions, their processing power demanding nature and the need to prototype and assess solutions in a fast and cost-saving manner motivated the development of the Cassandra Framework. The combination of state-of-the-art network and gridcomputing solutions and recently standardized interfaces facilitated the set-up of this framework, forming the basis for multiple cross-domain and cross-organizational collaborations [1]. It enables distributed computing scenario simulations for e.g. Distributed Content Analysis (DCA) across Consumer Electronics (CE) In-Home networks, but also the rapid development and assessment of complex multi-MCA-algorithm-based applications and system solutions. Furthermore, the framework's modular nature -logical MCA units are wrapped into so-called Service Units (SU) -ease the split between systemarchitecture-and algorithmic-related work and additionally facilitate reusability, extensibility and upgradeability of those SUs