A probabilistic approach to emission-line galaxy classification

We invoke a Gaussian mixture model (GMM) to jointly analyse two traditional emission-line classification schemes of galaxy ionization sources: the Baldwin-Phillips-Terlevich (BPT) and $\rm W_{H\alpha}$ vs. [NII]/H$\alpha$ (WHAN) diagrams, using spectroscopic data from the Sloan Digital Sky Survey Data Release 7 and SEAGal/STARLIGHT datasets. We apply a GMM to empirically define classes of galaxies in a three-dimensional space spanned by the $\log$ [OIII]/H$\beta$, $\log$ [NII]/H$\alpha$, and $\log$ EW(H${\alpha}$), optical parameters. The best-fit GMM based on several statistical criteria suggests a solution around four Gaussian components (GCs), which are capable to explain up to 97 per cent of the data variance. Using elements of information theory, we compare each GC to their respective astronomical counterpart. GC1 and GC4 are associated with star-forming galaxies, suggesting the need to define a new starburst subgroup. GC2 is associated with BPT's Active Galaxy Nuclei (AGN) class and WHAN's weak AGN class. GC3 is associated with BPT's composite class and WHAN's strong AGN class. Conversely, there is no statistical evidence -- based on four GCs -- for the existence of a Seyfert/LINER dichotomy in our sample. Notwithstanding, the inclusion of an additional GC5 unravels it. The GC5 appears associated to the LINER and Passive galaxies on the BPT and WHAN diagrams respectively. Subtleties aside, we demonstrate the potential of our methodology to recover/unravel different objects inside the wilderness of astronomical datasets, without lacking the ability to convey physically interpretable results. The probabilistic classifications from the GMM analysis are publicly available within the COINtoolbox (https://cointoolbox.github.io/GMM\_Catalogue/).Comment: Accepted for publication in MNRA

PCA: The Basic Building Block of Chemometrics

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Probabilistic graphical models for brain computer interfaces

Brain computer interfaces (BCI) are systems that aim to establish a new communication path for subjects who su er from motor disabilities, allowing interaction with the environment through computer systems. BCIs make use of a diverse group of physiological phenomena recorded using electrodes placed on the scalp (Electroencephalography, EEG) or electrodes placed directly over the brain cortex (Electrocorticography, ECoG). One commonly used phenomenon is the activity observed in specific areas of the brain in response to external events, called Event Related Potentials (ERP). Among those, a type of response called P300 is the most used phenomenon. The P300 has found application in spellers that make use of the brain's response to the presentation of a sequence of visual stimuli. Another commonly used phenomenon is the synchronization or desynchronization of brain rhythms during the execution or imagination of a motor task, which can be used to differentiate between two or more subject intentions. In the most basic scenario, a BCI system calculates the differences in the power of the EEG rhythms during execution of different tasks. Based on those differences, the BCI decides which task has been executed (e.g., motor imagination of left or right hand). Current approaches are mainly based on machine learning techniques that learn the distribution of the power values of the brain signals for each of the possible classes. In this thesis, making use of EEG and ECoG recording methods, we propose the use of probabilistic graphical models for brain computer interfaces. In the case of ERPs, in particular P300-based spellers, we propose the incorporation of language models at the level of words to increase significantly the performance of the spelling system. The proposed framework allows also the incorporation of different methods that take into account language models based on n-grams, all of this in an integrated structure whose parameters can be efficiently learned. In the context of execution or imagination of motor tasks, we propose techniques that take into account the temporal structure of the signals. Stochastic processes that model temporal dynamics of the brain signals in different frequency bands such as non-parametric Bayesian hidden Markov models are proposed in order to solve the problem of selection of the number of brain states during the execution of motor tasks as well as the selection of the number of components used to model the distribution of the brain signals. Following up on the same line of thought, hidden conditional random fields are proposed for classification of synchronous motor tasks. The combination of hidden states with the discriminative power of conditional random fields is shown to increase the classification performance of imaginary motor movements. In the context of asynchronous BCIs, we propose a method based on latent dynamic conditional random fields that is capable of modeling the internal temporal dynamics related to the generation of the brain signals, and external brain dynamics related to the execution of different mental tasks. Finally, in the context of asynchronous BCIs a model based on discriminative graphical models is presented for continuous classification of finger movements from ECoG data. We show that the incorporation of temporal dynamics of the brain signals in the classification stages increases significantly the classification accuracy of different mental states which can lead to a more effective interaction between the subject and the environment

Gas sensing technologies -- status, trends, perspectives and novel applications

The strong, continuous progresses in gas sensors and electronic noses resulted in improved performance and enabled an increasing range of applications with large impact on modern societies, such as environmental monitoring, food quality control and diagnostics by breath analysis. Here we review this field with special attention to established and emerging approaches as well as the most recent breakthroughs, challenges and perspectives. In particular, we focus on (1) the transduction principles employed in different architectures of gas sensors, analysing their advantages and limitations; (2) the sensing layers including recent trends toward nanostructured, low-dimensional and composite materials; (3) advances in signal processing methodologies, including the recent advent of artificial neural networks. Finally, we conclude with a summary on the latest achievements and trends in terms of applications.Comment: arXiv admin comment: This version has been removed by arXiv administrators as the submitter did not have the rights to agree to the license at the time of submissio

Hidden Markov Models

Hidden Markov Models (HMMs), although known for decades, have made a big career nowadays and are still in state of development. This book presents theoretical issues and a variety of HMMs applications in speech recognition and synthesis, medicine, neurosciences, computational biology, bioinformatics, seismology, environment protection and engineering. I hope that the reader will find this book useful and helpful for their own research

Multivariate Analysis in Management, Engineering and the Sciences

Recently statistical knowledge has become an important requirement and occupies a prominent position in the exercise of various professions. In the real world, the processes have a large volume of data and are naturally multivariate and as such, require a proper treatment. For these conditions it is difficult or practically impossible to use methods of univariate statistics. The wide application of multivariate techniques and the need to spread them more fully in the academic and the business justify the creation of this book. The objective is to demonstrate interdisciplinary applications to identify patterns, trends, association sand dependencies, in the areas of Management, Engineering and Sciences. The book is addressed to both practicing professionals and researchers in the field