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Prof. Dr. Carmen Peláez-Moreno
University Carlos III Madrid

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Research Keywords & Expertise

0 Cognitive Science
0 Music Technology
0 Signal Processing
0 Speech Processing
0 Formal concept analysis

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Formal concept analysis
machine learning
Speech Processing
Signal Processing

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Short Biography

Carmen Peláez-Moreno earned her Eng. degreee in Telecommunications from the Public Univ. of Navarre (1997) and her PhD from University Carlos III Madrid (2002). She was a visiting researcher in several universities: Univ. of Westminster, London, UK (pregraduate, 1996), Univ. of Strathclyde, Glasgow, UK (postdoctoral fellowship, 2003), International Computer Science Institute, Berkeley, EEUU (postdoctoral fellowship, 2004 and 2006) and Univ. of Trento, Italy (postdoctoral, 2013), including two maternity gaps in 2005 and 2007. She is currently, associate professor in the Signal Theory and Communications department of the Univ. Carlos III Madrid and member of the ICT pannel of the Spanish Research Council (AEI, Agencia Estatal de Investigación) for evaluation of proposals from the National Research Programme. In 2019, she earned the Full Professorship National Habilitation. She has coauthored over 70 papers in JCR indexed journals and conference communications. She is a member of the Gender Studies Institute of the UC3M.

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Original article
Published: 10 May 2021 in Neural Computing and Applications
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Speech ‘in-the-wild’ is a handicap for speaker recognition systems due to the variability induced by real-life conditions, such as environmental noise and the emotional state of the speaker. Taking advantage of the principles of representation learning, we aim to design a recurrent denoising autoencoder that extracts robust speaker embeddings from noisy spectrograms to perform speaker identification. The end-to-end proposed architecture uses a feedback loop to encode information regarding the speaker into low-dimensional representations extracted by a spectrogram denoising autoencoder. We employ data augmentation techniques by additively corrupting clean speech with real-life environmental noise in a database containing real stressed speech. Our study presents that the joint optimization of both the denoiser and speaker identification modules outperforms independent optimization of both components under stress and noise distortions as well as handcrafted features.

ACS Style

Esther Rituerto-González; Carmen Peláez-Moreno. End-to-end recurrent denoising autoencoder embeddings for speaker identification. Neural Computing and Applications 2021, 1 -11.

AMA Style

Esther Rituerto-González, Carmen Peláez-Moreno. End-to-end recurrent denoising autoencoder embeddings for speaker identification. Neural Computing and Applications. 2021; ():1-11.

Chicago/Turabian Style

Esther Rituerto-González; Carmen Peláez-Moreno. 2021. "End-to-end recurrent denoising autoencoder embeddings for speaker identification." Neural Computing and Applications , no. : 1-11.

Journal article
Published: 28 April 2021 in IEEE Signal Processing Magazine
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Generally, the curriculum design for undergraduate students enrolled in digital signal processing (DSP)-related engineering programs covers hard topics from specific disciplines, namely, mathematics, digital electronics, or programming. Typically, these topics are very demanding from the point of view of both students and teachers due to the inherent complexity of the mathematical formulations. However, improvements to the effectiveness of teaching can be achieved through a multisensorial approach supported by the liberal arts. By including the development of art and literacy skills in the curriculum design, the fundamentals of DSP topics may be taught from a qualitative perspective, compared to the solely analytical standpoint taken by traditional curricula. We postulate that this approach increases both the comprehension and memorization of abstract concepts by stimulating students' creativity and curiosity. In this article, we elaborate upon a methodology that incorporates liberal arts concepts into the teaching of signal processing techniques. We also illustrate the application of this methodology through specific classroom activities related to the digital processing of multimedia contents in undergraduate academic programmes. With this proposal, we also aim to lessen the perceived difficulty of the topic, stimulate critical thinking, and establish a framework within which nonengineering departments may contribute to the teaching of engineering subjects.

ACS Style

Jorge Torres Gomez; Antonio Rodriguez-Hidalgo; Yannelys Virginia Jerez Naranjo; Carmen Pelaez-Moreno. Teaching Differently: The Digital Signal Processing of Multimedia Content Through the Use of Liberal Arts. IEEE Signal Processing Magazine 2021, 38, 94 -104.

AMA Style

Jorge Torres Gomez, Antonio Rodriguez-Hidalgo, Yannelys Virginia Jerez Naranjo, Carmen Pelaez-Moreno. Teaching Differently: The Digital Signal Processing of Multimedia Content Through the Use of Liberal Arts. IEEE Signal Processing Magazine. 2021; 38 (3):94-104.

Chicago/Turabian Style

Jorge Torres Gomez; Antonio Rodriguez-Hidalgo; Yannelys Virginia Jerez Naranjo; Carmen Pelaez-Moreno. 2021. "Teaching Differently: The Digital Signal Processing of Multimedia Content Through the Use of Liberal Arts." IEEE Signal Processing Magazine 38, no. 3: 94-104.

Journal article
Published: 15 January 2021 in Mathematics
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Formal Concept Analysis (FCA) is a well-known supervised boolean data-mining technique rooted in Lattice and Order Theory, that has several extensions to, e.g., fuzzy and idempotent semirings. At the heart of FCA lies a Galois connection between two powersets. In this paper we extend the FCA formalism to include all four Galois connections between four different semivectors spaces over idempotent semifields, at the same time. The result is K¯-four-fold (K¯-4FCA ) where K¯ is the idempotent semifield biasing the analysis. Since complete idempotent semifields come in dually-ordered pairs—e.g., the complete max-plus and min-plus semirings—the basic construction shows dual-order-, row–column- and Galois-connection-induced dualities that appear simultaneously a number of times to provide the full spectrum of variability. Our results lead to a fundamental theorem of K¯-four-fold that properly defines quadrilattices as 4-tuples of (order-dually) isomorphic lattices of vectors and discuss its relevance vis-à-vis previous formal conceptual analyses and some affordances of their results.

ACS Style

Francisco José Valverde-Albacete; Carmen Peláez-Moreno. Four-Fold Formal Concept Analysis Based on Complete Idempotent Semifields. Mathematics 2021, 9, 173 .

AMA Style

Francisco José Valverde-Albacete, Carmen Peláez-Moreno. Four-Fold Formal Concept Analysis Based on Complete Idempotent Semifields. Mathematics. 2021; 9 (2):173.

Chicago/Turabian Style

Francisco José Valverde-Albacete; Carmen Peláez-Moreno. 2021. "Four-Fold Formal Concept Analysis Based on Complete Idempotent Semifields." Mathematics 9, no. 2: 173.

Conference paper
Published: 24 September 2020 in Communications in Computer and Information Science
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Currently, most of the affective computing research is about modifying and adapting the machine behavior based on the human emotional state. Although, the use of the affective state inference can be extended to provide a tool for other fields more society related such as gender violence detection, which is a real global emergency. Based on the World Health Organization (WHO) statistics, one in three women worldwide experiences gender-based violence, often from an intimate partner. Due to this motivation, the authors developed BINDI, which is a wearable solution for detecting automatically those situations. It uses affective computing together with short-term physiological and physical observations. It represents a step toward an autonomous, embedded, non-intrusive, and wearable system for detecting those situations and connecting the victim with a trusted circle. In this work, and as a response for improving the detection capability of BINDI, a novel hybrid data fusion architecture is proposed. This new architecture is intended to improve the already implemented decision level fusion architecture. Further details of the uni-modal systems and the different approaches needed to be explored in the future are given.

ACS Style

Esther Rituerto-González; Jose Angel Miranda; Manuel Felipe Canabal; José M. Lanza-Gutiérrez; Carmen Peláez-Moreno; Celia López-Ongil. A Hybrid Data Fusion Architecture for BINDI: A Wearable Solution to Combat Gender-Based Violence. Communications in Computer and Information Science 2020, 223 -237.

AMA Style

Esther Rituerto-González, Jose Angel Miranda, Manuel Felipe Canabal, José M. Lanza-Gutiérrez, Carmen Peláez-Moreno, Celia López-Ongil. A Hybrid Data Fusion Architecture for BINDI: A Wearable Solution to Combat Gender-Based Violence. Communications in Computer and Information Science. 2020; ():223-237.

Chicago/Turabian Style

Esther Rituerto-González; Jose Angel Miranda; Manuel Felipe Canabal; José M. Lanza-Gutiérrez; Carmen Peláez-Moreno; Celia López-Ongil. 2020. "A Hybrid Data Fusion Architecture for BINDI: A Wearable Solution to Combat Gender-Based Violence." Communications in Computer and Information Science , no. : 223-237.

Journal article
Published: 12 September 2020 in Mathematics
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In this paper, we provide a basic technique for Lattice Computing: an analogue of the Singular Value Decomposition for rectangular matrices over complete idempotent semifields (i-SVD). These algebras are already complete lattices and many of their instances—the complete schedule algebra or completed max-plus semifield, the tropical algebra, and the max-times algebra—are useful in a range of applications, e.g., morphological processing. We further the task of eliciting the relation between i-SVD and the extension of Formal Concept Analysis to complete idempotent semifields (K-FCA) started in a prior work. We find out that for a matrix with entries considered in a complete idempotent semifield, the Galois connection at the heart of K-FCA provides two basis of left- and right-singular vectors to choose from, for reconstructing the matrix. These are join-dense or meet-dense sets of object or attribute concepts of the concept lattice created by the connection, and they are almost surely not pairwise orthogonal. We conclude with an attempt analogue of the fundamental theorem of linear algebra that gathers all results and discuss it in the wider setting of matrix factorization.

ACS Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. The Singular Value Decomposition over Completed Idempotent Semifields. Mathematics 2020, 8, 1577 .

AMA Style

Francisco J. Valverde-Albacete, Carmen Peláez-Moreno. The Singular Value Decomposition over Completed Idempotent Semifields. Mathematics. 2020; 8 (9):1577.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. 2020. "The Singular Value Decomposition over Completed Idempotent Semifields." Mathematics 8, no. 9: 1577.

Journal article
Published: 08 August 2019 in Entropy
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We set out to demonstrate that the Rényi entropies are better thought of as operating in a type of non-linear semiring called a positive semifield. We show how the Rényi’s postulates lead to Pap’s g-calculus where the functions carrying out the domain transformation are Rényi’s information function and its inverse. In its turn, Pap’s g-calculus under Rényi’s information function transforms the set of positive reals into a family of semirings where “standard” product has been transformed into sum and “standard” sum into a power-emphasized sum. Consequently, the transformed product has an inverse whence the structure is actually that of a positive semifield. Instances of this construction lead to idempotent analysis and tropical algebra as well as to less exotic structures. We conjecture that this is one of the reasons why tropical algebra procedures, like the Viterbi algorithm of dynamic programming, morphological processing, or neural networks are so successful in computational intelligence applications. But also, why there seem to exist so many computational intelligence procedures to deal with “information” at large.

ACS Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. The Rényi Entropies Operate in Positive Semifields. Entropy 2019, 21, 780 .

AMA Style

Francisco J. Valverde-Albacete, Carmen Peláez-Moreno. The Rényi Entropies Operate in Positive Semifields. Entropy. 2019; 21 (8):780.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. 2019. "The Rényi Entropies Operate in Positive Semifields." Entropy 21, no. 8: 780.

Journal article
Published: 04 June 2019 in Applied Sciences
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A Speaker Identification system for a personalized wearable device to combat gender-based violence is presented in this paper. Speaker recognition systems exhibit a decrease in performance when the user is under emotional or stress conditions, thus the objective of this paper is to measure the effects of stress in speech to ultimately try to mitigate their consequences on a speaker identification task, by using data augmentation techniques specifically tailored for this purpose given the lack of data resources for this condition. An extensive experimentation has been carried out for assessing the effectiveness of the proposed techniques. First, we conclude that the best performance is always obtained when naturally stressed samples are included in the training set, and second, when these are not available, their substitution and augmentation with synthetically generated stress-like samples improves the performance of the system.

ACS Style

Esther Rituerto-González; Alba Mínguez-Sánchez; Ascensión Gallardo-Antolín; Carmen Peláez-Moreno. Data Augmentation for Speaker Identification under Stress Conditions to Combat Gender-Based Violence. Applied Sciences 2019, 9, 2298 .

AMA Style

Esther Rituerto-González, Alba Mínguez-Sánchez, Ascensión Gallardo-Antolín, Carmen Peláez-Moreno. Data Augmentation for Speaker Identification under Stress Conditions to Combat Gender-Based Violence. Applied Sciences. 2019; 9 (11):2298.

Chicago/Turabian Style

Esther Rituerto-González; Alba Mínguez-Sánchez; Ascensión Gallardo-Antolín; Carmen Peláez-Moreno. 2019. "Data Augmentation for Speaker Identification under Stress Conditions to Combat Gender-Based Violence." Applied Sciences 9, no. 11: 2298.

Journal article
Published: 08 May 2019 in IEEE Transactions on Knowledge and Data Engineering
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We introduce a framework for the evaluation of multiclass classifiers by exploring their confusion matrices. Instead of using error-counting measures of performance, we concentrate in quantifying the information transfer from true to estimated labels using information-theoretic measures. First, the Entropy Triangle allows us to visualize the balance of mutual information, variation of information and the deviation from uniformity in the true and estimated label distributions. Next the Entropy-Modified Accuracy allows us to rank classifiers by performance while the Normalized Information Transfer rate allows us to evaluate classifiers by the amount of information accrued during learning. Finally, if the question rises to elucidate which errors are systematically committed by the classifier, we use a generalization of Formal Concept Analysis to elicit such knowledge. All such techniques can be applied either to artificially or biologically embodied classifiers---e.g. human performance on perceptual tasks. We instantiate the framework in a number of examples to provide guidelines for the use of these tools in the case of assessing single classifiers or populations of them---whether induced with the same technique or not---either on single tasks or in a set of them. These include UCI tasks and the more complex KDD cup 99 competition on Intrusion Detection.

ACS Style

Francisco J. Valverde-Albacete; Carmen Pelaez-Moreno. A Framework for Supervised Classification Performance Analysis with Information-Theoretic Methods. IEEE Transactions on Knowledge and Data Engineering 2019, 32, 2075 -2087.

AMA Style

Francisco J. Valverde-Albacete, Carmen Pelaez-Moreno. A Framework for Supervised Classification Performance Analysis with Information-Theoretic Methods. IEEE Transactions on Knowledge and Data Engineering. 2019; 32 (11):2075-2087.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Pelaez-Moreno. 2019. "A Framework for Supervised Classification Performance Analysis with Information-Theoretic Methods." IEEE Transactions on Knowledge and Data Engineering 32, no. 11: 2075-2087.

Journal article
Published: 09 January 2019 in Entropy
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We introduce a variant of the Rényi entropy definition that aligns it with the well-known Hölder mean: in the new formulation, the r-th order Rényi Entropy is the logarithm of the inverse of the r-th order Hölder mean. This brings about new insights into the relationship of the Rényi entropy to quantities close to it, like the information potential and the partition function of statistical mechanics. We also provide expressions that allow us to calculate the Rényi entropies from the Shannon cross-entropy and the escort probabilities. Finally, we discuss why shifting the Rényi entropy is fruitful in some applications.

ACS Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. The Case for Shifting the Renyi Entropy. Entropy 2019, 21, 46 .

AMA Style

Francisco J. Valverde-Albacete, Carmen Peláez-Moreno. The Case for Shifting the Renyi Entropy. Entropy. 2019; 21 (1):46.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. 2019. "The Case for Shifting the Renyi Entropy." Entropy 21, no. 1: 46.

Conference paper
Published: 21 November 2018 in IberSPEECH 2018
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ACS Style

Esther Rituerto-González; Ascensión Gallardo-Antolín; Carmen Peláez-Moreno. Speaker Recognition under Stress Conditions. IberSPEECH 2018 2018, 1 .

AMA Style

Esther Rituerto-González, Ascensión Gallardo-Antolín, Carmen Peláez-Moreno. Speaker Recognition under Stress Conditions. IberSPEECH 2018. 2018; ():1.

Chicago/Turabian Style

Esther Rituerto-González; Ascensión Gallardo-Antolín; Carmen Peláez-Moreno. 2018. "Speaker Recognition under Stress Conditions." IberSPEECH 2018 , no. : 1.

Journal article
Published: 21 November 2018 in IEEE Access
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ACS Style

Antonio Rodriguez-Hidalgo; Carmen Pelaez-Moreno; Ascension Gallardo-Antolin. The Robustness of Echoic Log-Surprise Auditory Saliency Detection. IEEE Access 2018, 6, 72083 -72093.

AMA Style

Antonio Rodriguez-Hidalgo, Carmen Pelaez-Moreno, Ascension Gallardo-Antolin. The Robustness of Echoic Log-Surprise Auditory Saliency Detection. IEEE Access. 2018; 6 ():72083-72093.

Chicago/Turabian Style

Antonio Rodriguez-Hidalgo; Carmen Pelaez-Moreno; Ascension Gallardo-Antolin. 2018. "The Robustness of Echoic Log-Surprise Auditory Saliency Detection." IEEE Access 6, no. : 72083-72093.

Journal article
Published: 02 August 2018 in Information Sciences
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We report on progress in characterizing K-valued FCA in algebraic terms, where K is an idempotent semifield. In this data mining-inspired approach, incidences are matrices and sets of objects and attributes are vectors. The algebraization allows us to write matrix-calculus formulae describing the polars and the fixpoint equations for extents and intents. Adopting also the point of view of the theory of linear operators between vector spaces we explore the similarities and differences of the idempotent semimodules of extents and intents with the subspaces related to a linear operator in standard algebra. This allows us to shed some light into Formal Concept Analysisfrom the point of view of the theory of linear operators over idempotent semimodules. In the opposite direction, we state the importance of FCA-related concepts for dual order homomorphisms of linear spaces over idempotent semifields, specially congruences, the lattices of extents, intents and formal concepts.

ACS Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. K-Formal Concept Analysis as linear algebra over idempotent semifields. Information Sciences 2018, 467, 579 -603.

AMA Style

Francisco J. Valverde-Albacete, Carmen Peláez-Moreno. K-Formal Concept Analysis as linear algebra over idempotent semifields. Information Sciences. 2018; 467 ():579-603.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. 2018. "K-Formal Concept Analysis as linear algebra over idempotent semifields." Information Sciences 467, no. : 579-603.

Journal article
Published: 20 July 2018 in Expert Systems with Applications
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Perceptual signals such as acoustic or visual cues carry a massive amount of information. From a human perspective, this problem is solved by means of cognitive mechanisms related to attention. In particular, saliency is a property of particular stimuli that makes them stand from others to allow the brain to take decisions about their relevance in the process of exploring the world. For artificial intelligence systems it is advantageous to mimic these mechanisms. Visual saliency algorithms have been successfully employed in tasks such as medical diagnosis, detection of violent scenes, environment understanding made by robots, etc. In contrast, computational models of the acoustic saliency mechanisms are less extended. In this context, we propose a novel acoustic saliency algorithm to be used by intelligent and expert systems facing tasks such as sound detection and classification, early alarm, surveillance, robotic exploration of the surroundings, among many other applications. This technique, we termed echoic log-surprise, combines an unsupervised statistical approach based on Bayesian log-surprise and the biological concept of echoic or Auditory Sensory Memory. Our algorithm computes several independent log-surprise cues in parallel considering a wide range of memory values, with the aim of leveraging saliency information from different temporal scales. Then, we explore several statistical metrics to combine these multi-scale signals in a single temporal saliency signal including Renyi entropy, Jensen-Shannon divergence, Cramer or Bhattacharyya distances. We have adopted Acoustic Event Detection tasks as adequate proxies to test its performance. Results show that the proposed echoic log-surprise method outperforms classical acoustic detection techniques commonly deployed in intelligent and expert systems, such as energy thresholding or voice activity detection, and it also achieves better results than some other state-of-the-art acoustic saliency algorithms, such as Kalinli’s and conventional log-surprise.

ACS Style

Antonio Rodríguez-Hidalgo; Carmen Peláez-Moreno; Ascensión Gallardo-Antolín. Echoic log-surprise: A multi-scale scheme for acoustic saliency detection. Expert Systems with Applications 2018, 114, 255 -266.

AMA Style

Antonio Rodríguez-Hidalgo, Carmen Peláez-Moreno, Ascensión Gallardo-Antolín. Echoic log-surprise: A multi-scale scheme for acoustic saliency detection. Expert Systems with Applications. 2018; 114 ():255-266.

Chicago/Turabian Style

Antonio Rodríguez-Hidalgo; Carmen Peláez-Moreno; Ascensión Gallardo-Antolín. 2018. "Echoic log-surprise: A multi-scale scheme for acoustic saliency detection." Expert Systems with Applications 114, no. : 255-266.

Conference paper
Published: 01 July 2018 in 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
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In this paper we investigate into analogue of a Singular Value Decomposition for rectangular matrices over a complete idempotent semifields (i-SVD), many of whose instances-the complete schedule algebra or completed max-plus semifield, the tropical algebra, and the max-times algebra-are useful in a range of applications. We carry on further the task of eliciting the relation between i-SVD and the extension of Formal Concept Analysis to complete idempotent semifields ($\mathcal{K}$-FCA) started in prior work. We find out that for each relation with entries considered in a complete idempotent semifield, for each of the four types of Galois connections defined by the relation, there are two basis of left- and right-singular vectors to choose from for reconstructing the matrix. These are each of the join-dense or meet-dense sets object or attribute concepts of the concept lattice created by the connection. We suggest why these can never form an orthonormal basis, and refer to prior art describing the spectral lattices of such matrices for meaningful representations in the idempotent settings.

ACS Style

Francisco J. Valverde-Albacete; Carmen Pelaez-Moreno. On the Relation between Semifield-Valued FCA and the Idempotent Singular Value Decomposition. 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) 2018, 1 -8.

AMA Style

Francisco J. Valverde-Albacete, Carmen Pelaez-Moreno. On the Relation between Semifield-Valued FCA and the Idempotent Singular Value Decomposition. 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). 2018; ():1-8.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Pelaez-Moreno. 2018. "On the Relation between Semifield-Valued FCA and the Idempotent Singular Value Decomposition." 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) , no. : 1-8.

Journal article
Published: 27 June 2018 in Entropy
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Data transformation, e.g., feature transformation and selection, is an integral part of any machine learning procedure. In this paper, we introduce an information-theoretic model and tools to assess the quality of data transformations in machine learning tasks. In an unsupervised fashion, we analyze the transformation of a discrete, multivariate source of information X¯ into a discrete, multivariate sink of information Y¯ related by a distribution PX¯Y¯. The first contribution is a decomposition of the maximal potential entropy of (X¯,Y¯), which we call a balance equation, into its (a) non-transferable, (b) transferable, but not transferred, and (c) transferred parts. Such balance equations can be represented in (de Finetti) entropy diagrams, our second set of contributions. The most important of these, the aggregate channel multivariate entropy triangle, is a visual exploratory tool to assess the effectiveness of multivariate data transformations in transferring information from input to output variables. We also show how these decomposition and balance equations also apply to the entropies of X¯ and Y¯, respectively, and generate entropy triangles for them. As an example, we present the application of these tools to the assessment of information transfer efficiency for Principal Component Analysis and Independent Component Analysis as unsupervised feature transformation and selection procedures in supervised classification tasks.

ACS Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. Assessing Information Transmission in Data Transformations with the Channel Multivariate Entropy Triangle. Entropy 2018, 20, 498 .

AMA Style

Francisco J. Valverde-Albacete, Carmen Peláez-Moreno. Assessing Information Transmission in Data Transformations with the Channel Multivariate Entropy Triangle. Entropy. 2018; 20 (7):498.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. 2018. "Assessing Information Transmission in Data Transformations with the Channel Multivariate Entropy Triangle." Entropy 20, no. 7: 498.

Conference paper
Published: 18 May 2018 in Programmieren für Ingenieure und Naturwissenschaftler
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In this paper we propose a new lens through which to observe the information contained in a formal context. Instead of focusing on the hierarchical relation between objects or attributes induced by their incidence, we focus on the “unrelatedness” of the objects with respect to those attributes with which they are not incident. The crucial order concept for this is that of maximal anti-chain and the corresponding representation capabilities are provided by Behrendt’s theorem. With these tools we introduce the fundamental theorem of Formal Independence Analysis and use it to provide an example of what its affordances are for the analysis of data tables. We also discuss its relation to Formal Concept Analysis.

ACS Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno; Inma P. Cabrera; Pablo Cordero; Manuel Ojeda-Aciego. Formal Independence Analysis. Programmieren für Ingenieure und Naturwissenschaftler 2018, 596 -608.

AMA Style

Francisco J. Valverde-Albacete, Carmen Peláez-Moreno, Inma P. Cabrera, Pablo Cordero, Manuel Ojeda-Aciego. Formal Independence Analysis. Programmieren für Ingenieure und Naturwissenschaftler. 2018; ():596-608.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno; Inma P. Cabrera; Pablo Cordero; Manuel Ojeda-Aciego. 2018. "Formal Independence Analysis." Programmieren für Ingenieure und Naturwissenschaftler , no. : 596-608.

Preprint
Published: 30 November 2017
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In this paper we use information-theoretic measures to provide a theory and tools to analyze the flow of information from a discrete, multivariate source of information $\overline X$ to a discrete, multivariate sink of information $\overline Y$ joined by a distribution $P_{\overline X \overline Y}$. The first contribution is a decomposition of the maximal potential entropy of $(\overline X, \overline Y)$ that we call a balance equation, that can also be split into decompositions for the entropies of $\overline X$ and $\overline Y$ respectively. Such balance equations accept normalizations that allow them to be represented in de Finetti entropy diagrams, our second contribution. The most important of these, the aggregate Channel Multivariate Entropy Triangle CMET is an exploratory tool to assess the efficiency of multivariate channels. We also present a practical contribution in the application of these balance equations and diagrams to the assessment of information transfer efficiency for PCA and ICA as feature transformation and selection procedures in machine learning applications.

ACS Style

Francisco J. Valverde-Albacete; Carmen Pelaez-Moreno. The Channel Multivariate Entropy Triangle and Balance Equation. 2017, 1 .

AMA Style

Francisco J. Valverde-Albacete, Carmen Pelaez-Moreno. The Channel Multivariate Entropy Triangle and Balance Equation. . 2017; ():1.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Pelaez-Moreno. 2017. "The Channel Multivariate Entropy Triangle and Balance Equation." , no. : 1.

Journal article
Published: 01 July 2017 in Expert Systems with Applications
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We provide crucial insights into a recently proposed Shannon-type entropy balance equation for multivariate joint distributions.The decomposition can be plotted in an entropy ternary diagram.Each axis of the ternary diagram provides specific information about the distributions.We use both tools in the exploratory analysis of machine learning datasets.These tools are applicable to supervised and unsupervised tasks. We introduce from first principles an analysis of the information content of multivariate distributions as information sources. Specifically, we generalize a balance equation and a visualization device, the Entropy Triangle, for multivariate distributions and find notable differences with similar analyses done on joint distributions as models of information channels.As an example application, we extend a framework for the analysis of classifiers to also encompass the analysis of data sets. With such tools we analyze a handful of UCI machine learning task to start addressing the question of how well do datasets convey the information they are supposed to capture about the phenomena they stand for.

ACS Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. The evaluation of data sources using multivariate entropy tools. Expert Systems with Applications 2017, 78, 145 -157.

AMA Style

Francisco J. Valverde-Albacete, Carmen Peláez-Moreno. The evaluation of data sources using multivariate entropy tools. Expert Systems with Applications. 2017; 78 ():145-157.

Chicago/Turabian Style

Francisco J. Valverde-Albacete; Carmen Peláez-Moreno. 2017. "The evaluation of data sources using multivariate entropy tools." Expert Systems with Applications 78, no. : 145-157.

Conference paper
Published: 01 July 2017 in 2017 IEEE 16th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC)
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This work is focused on the task of multimodal saliency detection. Very few works have been developed in the field, and there are no well-established baselines or benchmarks comparable to those existing in the field of visual saliency detection. In this paper, we set out to improve an existing model by enhancing the performance of its key module: the audio-visual correlation estimation based on the computation of the correlation of its acoustic inconsistency with visual motion estimation. We propose two main modifications: first, the introduction of auditory saliency algorithms to compute the acoustic inconsistency and second, the improvement of the motion estimation procedure. To verify our hyphothesis and analyze the performance of our contribution, we have developed experiments considering a database of 30 videos, that includes eye-tracker fixations of several subjects. Results show that using acoustic saliency improves the performance of the system compared with a conventional visual saliency model with color, orientation, intensity and motion estimation. It also outperforms the baseline audio-visual system, that uses acoustic inconsistency as an auditory cue. On the other hand, using optical flow for motion estimation also increases significantly the performance of the system, regardless of the tested acoustic feature.

ACS Style

Antonio Rodriguez-Hidalgo; Carmen Pelaez-Moreno; Ascension Gallardo-Antolin. Towards multimodal saliency detection: An enhancement of audio-visual correlation estimation. 2017 IEEE 16th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC) 2017, 438 -443.

AMA Style

Antonio Rodriguez-Hidalgo, Carmen Pelaez-Moreno, Ascension Gallardo-Antolin. Towards multimodal saliency detection: An enhancement of audio-visual correlation estimation. 2017 IEEE 16th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC). 2017; ():438-443.

Chicago/Turabian Style

Antonio Rodriguez-Hidalgo; Carmen Pelaez-Moreno; Ascension Gallardo-Antolin. 2017. "Towards multimodal saliency detection: An enhancement of audio-visual correlation estimation." 2017 IEEE 16th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC) , no. : 438-443.

Conference paper
Published: 19 May 2017 in Transactions on Petri Nets and Other Models of Concurrency XV
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We report on progress relating \(\mathcal K\)-valued FCA to \(\mathcal K\)-Linear Algebra where \(\mathcal K\) is an idempotent semifield. We first find that the standard machinery of linear algebra points to Galois adjunctions as the preferred construction, which generates either Neighbourhood Lattices of attributes or objects. For the Neighbourhood of objects we provide the adjoints, their respective closure and interior operators and the general structure of the lattices, both of objects and attributes. Next, these results and those previous on Galois connections are set against the backdrop of Extended Formal Concept Analysis. Our results show that for a \(\mathcal K\)-valued formal context (G, M, R)—where \(|G| = g\), \(|M| = m\) and \(R \in K^{g\times {m}}\)—there are only two different “shapes” of lattices each of which comes in four different “colours”, suggesting a notion of a 4-concept associated to a formal concept. Finally, we draw some conclusions as to the use of these as data exploration constructs, allowing many different “readings” on the contextualized data.

ACS Style

Francisco José Valverde-Albacete; Carmen Peláez-Moreno. The Linear Algebra in Extended Formal Concept Analysis Over Idempotent Semifields. Transactions on Petri Nets and Other Models of Concurrency XV 2017, 10308, 211 -227.

AMA Style

Francisco José Valverde-Albacete, Carmen Peláez-Moreno. The Linear Algebra in Extended Formal Concept Analysis Over Idempotent Semifields. Transactions on Petri Nets and Other Models of Concurrency XV. 2017; 10308 ():211-227.

Chicago/Turabian Style

Francisco José Valverde-Albacete; Carmen Peláez-Moreno. 2017. "The Linear Algebra in Extended Formal Concept Analysis Over Idempotent Semifields." Transactions on Petri Nets and Other Models of Concurrency XV 10308, no. : 211-227.