Publications

Grants

Links

Research lines:

Computational Complexity

Algorithmic Information Theory

Bioinformatics

Research Publications by Elvira Mayordomo

Journal Papers

Extending the Reach of the Point-to-Set Principle. J.H. Lutz, N. Lutz, and E. Mayordomo. Information and Computation, 294, article 105078 (19 pp.) (2023) https://doi.org/10.1016/j.ic.2023.105078
Explainable artificial intelligence toward usable and trustworthy computer-aided early diagnosis of multiple sclerosis from Optical Coherence Tomography. M. Hernández, U. Ramón-Júlvez, E. Vilades, B. Cordón, E. Mayordomo, E. García-Martín. PLoS ONE, 18(8): e0289495 (32 pp.) (2023) https://doi.org/10.1371/journal.pone.0289495
Dimension and the structure of complexity classes. J. H. Lutz, N. Lutz, and E. Mayordomo. Theory of Computing Systems, 67, 473–490 (2023) https://doi.org/10.1007/s00224-022-10096-7
Asymptotic Divergences and Strong Dichotomy. X. Huang, J.H. Lutz, E. Mayordomo, and D. Stull. IEEE Transactions on Information Theory, 67(10), 6296-6305 (2021) https://doi.org/10.1109/TIT.2021.3085425
Computing Absolutely Normal Numbers in Nearly Linear Time. J. H. Lutz, E. Mayordomo. Information and Computation, 281, art. 104746 (12 pp.) (2021) https://doi.org/10.1016/j.ic.2021.104746
Effective Hausdorff dimension in general metric spaces. E. Mayordomo. Theory of Computing Systems, 62, 1620-1636 (2018)
Bounded Pushdown dimension vs Lempel Ziv information density. P. Albert, E. Mayordomo, and P. Moser. Computability and Complexity, 95-114 (LNCS, volume 10010) (2017)
Machine learning classifier for identification of damaging missense mutations exclusive to human mitochondrial DNA-encoded polypeptides. A. Martín-Navarro, A. Gaudioso-Simón, J. Álvarez-Jarreta, J. Montoya, E. Mayordomo, and E. Ruiz-Pesini. BMC Bioinformatics, 18(1): 158:1-158:11 (2017)
Dimension spectra of random subfractals of self-similar fractals. X. Gu, J.H. Lutz, E. Mayordomo, and P. Moser. Annals of Pure and Applied Logic, 165, 1707-1726 (2014)
Base invariance of feasible dimensión. (version with small correction) J.M. Hitchcock, E. Mayordomo. Information Processing Letters, 113, 546–551 (2013)
Dimension is Compression. M. López-Valdés, E. Mayordomo. Theory of Computing Systems, 52, 95-112 (2013)
Inseparability and Strong Hypotheses for Disjoint NP Pairs. L. Fortnow, J. H. Lutz, and E. Mayordomo. Theory of Computing Systems, 51, 229-247 (2012)
Curves that must be retraced. X. Gu, J. H. Lutz, and E. Mayordomo. Information and Computation, 209, 992-1006 (2011)
Rebooting the human mitochondrial phylogeny: an automated and scalable methodology with expert knowledge. R. Blanco, E. Mayordomo, J. Montoya, and E. Ruiz-Pesini. BMC Bioinformatics, 12:174, 29 pp. (2011)
Polylog space compression, pushdown compression, and Lempel-Ziv are incomparable. E. Mayordomo, P. Moser, and S. Perifel. Theory of Computing Systems, 48, 731-766 (2011)
Scaled dimension and the Kolmogorov complexity of Turing-hard sets. J.M. Hitchcock, M. López-Valdés, and E. Mayordomo. Theory of Computing Systems, 43, 471-497 (2008)
Dimensions of points in self-similar fractals. J.H. Lutz, E. Mayordomo. SIAM Journal on Computing, 38, 1080-1112 (2008)
Effective strong dimension in algorithmic information and computational complexity. K.B. Athreya, J.M. Hitchcock, J.H. Lutz, and E. Mayordomo. SIAM Journal on Computing, 37, 671-705 (2007)
Weakly useful sequences. S.A. Fenner, J.H. Lutz, E. Mayordomo, and P. Reardon. Information and Computation, 197, 41-54 (2005)
Scaled dimension and non-uniform complexity. J.M. Hitchcock, J.H. Lutz, and E. Mayordomo. Journal of Computer and System Sciences, 69, 97-122 (2004)
Finite state dimension. J.J. Dai, J.I. Lathrop, J.H. Lutz, and E. Mayordomo. Theoretical Computer Science, 310, 1-33 (2004)
A Kolmogorov complexity characterization of constructive Hausdorff dimension. E. Mayordomo. Information Processing Letters, 84, 1-3 (2002)
An excursion to the Kolmogorov random strings. H. Buhrman, E. Mayordomo. Journal of Computer and System Sciences, 54, 393-399 (1997)
Cook versus Karp-Levin: separating completeness notions if NP is not small.J.H. Lutz, E. Mayordomo. Theoretical Computer Science, 164, 141-163 (1996)
On the robustness of ALMOST-R. R.V. Book, E. Mayordomo. Rairo Informatique Théorique et Applications, 30, 123-133 (1996)
Almost every set in exponential time is P-bi-immune. E. Mayordomo. Theoretical Computer Science, 136, 487-506 (1994)
Measure, stochasticity, and the density of hard languages. J.H. Lutz, E. Mayordomo. SIAM Journal on Computing, 23, 762-779 (1994)
A note on polynomial size circuits with low resource-bounded Kolmogorov complexity. M. Hermo, E. Mayordomo. Mathematical Systems Theory, 27, 347-356 (1994)

Editor

· A Commemorative Issue for Alan L. Selman. Editors: M. Ogihara, E. Mayordomo, A.Rudra.Theory of Computing Systems, 67(3) (2023) https://doi.org/10.1007/s00224-023-10123-1

· Special Issue in memory of Barry Cooper. Editors: V. Brattka, P. Bonizzoni, O. Bournez, E. Mayordomo. Computability, 5(1) (2016)

· Computability in Europe 2010. Editors: A. Carbone, F. Ferreira, B. Löwe, E. Mayordomo. Journal of Logic and Computation, 25(4) (2015)

· Special Issue on Computability, Complexity and Randomness. Editors: E. Mayordomo, W. Merkle. Theory of Computing Systems, 56(3) (2015)

· CiE: Programs, Proofs, Processes. Editors: F. Ferreira, B. Löwe, and E. Mayordomo. Theory of Computing Systems, 51(3) (2012)

· Computability, Complexity and Randomness (Dagstuhl Seminar 12021). Editors: V. Becher, L. Bienvenu, R. Downey, and E. Mayordomo. Dagstuhl Reports, 2(1) (2012)

· Computability in Europe 2010. Editors: F. Ferreira, M. Hyland, B. Löwe, and E. Mayordomo. Annals of Pure and Applied Logic, 163(6) (2012)

· Programs, Proofs, Processes: Proceedings of the 6th Conference on Computability in Europe, CiE, 2010. Editors: F. Ferreira, B. Löwe, E. Mayordomo, and L.M. Gomes. Springer-Verlag Lecture Notes in Computer Science, 6158 (2010)

· Special Issue: Computation and Logic in the Real World. Guest Editors: S. B. Cooper, E. Mayordomo, and A. Sorbi. Theory of Computing Systems, 45(4) (2009)

Conference Papers

On information theory in geometric measure theory. E.Mayordomo. British Logic Colloquium (BLC 2024), Birmigham (2024).
On point to set principles, normality, and algorithmic randomness. E. Mayordomo. Incontro di Logica AILA (Italian Association of Logic and Applications), Udine (2024).
Further extensions of the point to set principle. E. Mayordomo. Computability in Europe 2024 (CiE 2024), Amsterdam (2024). Springer-Verlag Lecture Notes in Computer Science, 14773, xxi-xxii (2024). https://doi.org/10.1007/978-3-031-64309-5
EPDiff-JF-Net: Adjoint Jacobi fields for diffeomorphic registration networks. U. Ramón Júlvez, M. Hernández, E. Mayordomo, International Symposium on Biomedical Image (ISBI 2024), IEEE 2024, Atenas (Greece). https://doi.org/10.1109/ISBI56570.2024.10635118
Robust Normality. W. Calvert, E. Gruner, E. Mayordomo, D. Turetsky and J. D. Villano. The 17th International Conference on Computability Complexity and Randomness (CCR 2024).
Algorithmic Fractal Dimensions. E. Mayordomo. Randomness, Information & Complexity CIRM (International Centre Meetings Mathematics), Marsella (2024).
On Normality, Supernormality, Finite State Dimension, and Point to Set Principles. E. Mayordomo. Iowa Colloquium on Information, Complexity, and Logic (ICICL), online (2023)
Extensions of the point to set principle to finite-state dimension. E.Mayordomo. Computability in Europe (CiE 2023), Batumi (2023)
Extensions of the point to set principle. E.Mayordomo. Logic Colloquium 2023, Milan (2023)
Extensions of the point to set principle. E.Mayordomo. ASL North American meeting, Irvine (2023)
Los principios de punto a conjunto: un viaje desde la teoría de la información algorítmica a la teoría de la medida geométrica. E.Mayordomo. II Encuentro conjunto RSME-UMA (2022).
Algorithmic Dimensions, the Point-To-Set Principles, and the Complexity of Oracles. E. Mayordomo. Computability in Europe (CiE 2022). Springer-Verlag Lecture Notes in Computer Science, 13359, xxvii-xxviii (2022). https://doi.org/10.1007/978-3-031-08740-0
VoxelMorph based Normalization in the Prediction of Stable VS Progressive MCI Conversion with Convolutional Neural Networks. D. Sierra Tome, U. Ramón Júlvez, M. Hernández, E. Mayordomo, JJI3A 2022
A phylogenetic study of covid-19 data from Aragon and Catalonia over a year: learning Bioinformatics during a world pandemic. F. Peña, Á. García-Díaz, A. Gómez-González, A. Martín-Marcos, A. Romeo, J. M. Sánchez-Aquilué, A. Vallés, E. Mayordomo, JJI3A 2022
LDDMM meets GANs: Generative Adversarial Networks for diffeomorphic registration. U. Ramon, M. Hernandez, and E. Mayordomo, Workshop in Biomedical Image Registration (WBIR 2022). Springer-Verlag Lecture Notes in Computer Science, 13386, pp 18–28 (2022) Runner up for best paper award https://doi.org/10.1007/978-3-031-11203-4_3
Exploring the point-to-set principles for algorithmic dimensions. E.mayordomo. Nineteenth International Conference on Computability and Complexity in Analysis (CCA 2022).
Extending the Reach of the Point-to-Set Principle. J.H. Lutz, N. Lutz, and E. Mayordomo, 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022), 2022. https://doi.org/10.4230/LIPIcs.STACS.2022.48
E. Mayordomo, DMV-ÖMG Annual Conference, 2021
Effective dimension: from computation to fractal geometry and number theory. E. Mayordomo, CCC 2020: Continuity, Computability, Constructivity – From Logic to Algorithms, 2020
Analysis of the Influence of Diffeomorphic Normalization in the Prediction of Stable VS Progressive MCI Conversion with Convolutional Neural Networks. U. Ramon-Julvez, M. Hernandez, E. Mayordomo, and ADNI. 17th IEEE International Symposium on Biomedical Imaging (ISBI 2020), 1120-1124, 2020. https://dx.doi.org/10.17023/q132-fj17
Asymptotic Divergences and Strong Dichotomy. X. Huang, J.H. Lutz, E. Mayordomo, and D. Stull. 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020), 51:1-51:15, 2020. https://doi.org/10.4230/LIPIcs.STACS.2020.51
The Hyperspace Dimension Theorem. J.H. Lutz, E. Mayordomo. CCC 2019: Computability, Continuity, Constructivity, 2019
The return trip to classical fractal theory from effective fractal dimension. E. Mayordomo. Workshop on Computability Theory, Leeds 2019
The return trip to classical fractal theory from effective fractal dimension. E. Mayordomo. Fourteenth international conference on computability, complexity and randomness (CCR 2019)
Evolution of GWAS results through ADNI cohorts. B. Marín, C. Alquézar-Baeta, M. Hernández, E. Mayordomo. Proceedings of the IEEE International Conference on Bioinformatics and Biomedicine (BIBM 2018), 2782-2784 (2018)
Selection, Divergence, and Dichotomy. X. Huang, J.H. Lutz, E. Mayordomo, and D. Stull. Thirteenth International Conference on Computability, Complexity and Randomness (CCR 2018).
A point-to-set principle for separable metric spaces. E. Mayordomo. Computability in Europe (CiE 2018).
Computing Absolutely Normal Numbers in Nearly Linear Time. J.H. Lutz and E. Mayordomo. Continuity, Computability, Constructivity (CCC 2017).
Effective fractal dimension theory: exploring the extreme cases (minicourse). E. Mayordomo. Workshop on Parametric Complexity, IMS Singapore, 2017.
Effective exact Hausdorff dimension in general metric spaces. E. Mayordomo. Computability in Europe (CiE 2017).
Effective Hausdorff dimension in general metric spaces. E. Mayordomo. New Worlds of Computation 2017 and Journées Calculabilités (NWC 2017).
Conservation in Mitochondrial DNA: Parallelized Estimation and Alignment Influence. F.Merino-Casallo, J. Álvarez-Jarreta, and E. Mayordomo. Proceedings of the IEEE International Conference on Bioinformatics and Biomedicine (BIBM 2015), 1434-1440 (2015)
PhyloFlow: A fully customizable and automatic workflow for phylogenetic reconstruction. J. Álvarez-Jarreta, G. De Miguel Casado, and E. Mayordomo. Proceedings of the IEEE International Conference on Bioinformatics and Biomedicine (BIBM 2014), 1- 7 (2014)
PhyloFlow: A Fully Customizable and Automatic Workflow for Phylogeny Estimation. J. Álvarez-Jarreta, G. de Miguel Casado, and E. Mayordomo. 13th European Conference on Computational Biology (ECCB 2014).
Effective dimension in general metric spaces and applications. E. Mayordomo. Computability in Europe (CiE 2013).
Dimension spectra of random subfractals of self-similar fractals. X. Gu, J.H. Lutz, E. Mayordomo, and P. Moser. Proceedings of the Ninth International Conference on Computability and Complexity in Analysis (CCA 2012).
PHYSER: An Algorithm to Detect Sequencing Errors from Phylogenetic Information. J. Álvarez-Jarreta, E. Mayordomo, and E. Ruiz-Pesini. Proceedings of the 6th International Conference on Practical Applications of Computational Biology & Bioinformatics (PACBB 2012). Springer-Verlag Advances in Soft Computing, 154, 105-112 (2012).
Workflows with model selection: a multilocus approach to phylogenetic analysis. J. Álvarez, R. Blanco, and E. Mayordomo. Proceedings of the 5th International Conference on Practical Applications of Computational Biology & Bioinformatics (PACBB 2011). Springer-Verlag Advances in Soft Computing, 93/2011, 39-47 (2011).
Scalable Phylogenetics through Input Preprocessing. R. Blanco, E. Mayordomo, E. Montes, R. Mayo, and A. Alberto. Advances in Bioinformatics: Proceedings of the 4th International Workshop on Practical Applications of Computational Biology & Bioinformatics (IWPACBB 2010). Springer-Verlag Advances in Soft Computing, 74/2010, 123-130 (2010).
Inseparability and Strong Hypotheses for Disjoint NP Pairs. L. Fortnow, J. H. Lutz, and E. Mayordomo. Proceedings of the Twenty-Seventh Symposium on Theoretical Aspects of Computer Science (STACS'10), 395-404 (2010).
Exhaustive mitochondrial phylogenetics: challenges and solutions. R. Blanco, E. Mayordomo. 9th Workshop on Algorithms in Bioinformatics (WABI 2009).
Curves that must be retraced. X. Gu, J. H. Lutz, and E. Mayordomo. Proceedings of the Sixth International Conference on Computability and Complexity in Analysis (CCA 2009), 147-158 (2009).
Building maintainable, exhaustive human mitochondrial phylogenies. R. Blanco, E. Mayordomo. 17 Annual International Conference on Intelligent Systems for Molecular Biology/8th European Conference (2009).
ZARAMIT: a system for the evolutionary study of human mitochondrial DNA. R. Blanco, E. Mayordomo. Proceedings of the 3rd International Workshop on Practical Applications of Computational Biology & Bioinformatics (IWPACBB 2009, within IWANN 2009). Springer-Verlag Lecture Notes in Computer Science, 5518, 1139-1142 (2009).
polylog space compression is incomparable with Lempel-Ziv and pushdown compression. E. Mayordomo, P. Moser. Proceedings of the 35th International Conference on Current Trends in Theory and Practice of Computer Science (SOFSEM’09). Springer-Verlag Lecture Notes in Computer Science, 5404, 633-644 (2009).
Dimensions of points in self-similar fractals. J.H. Lutz, E. Mayordomo. Proceedings of the 14th Annual International Computing and Combinatorics Conference (COCOON’08). Springer-Verlag Lecture Notes in Computer Science, 5092, 215-224 (2008).
Pushdown compression. P. Albert, E. Mayordomo, P. Moser, and S. Perifel. Proceedings of the Twenty-Fifth Symposium on Theoretical Aspects of Computer Science (STACS'08), pp. 39-48 (2008).
Points on computable curves. X. Gu, J. H. Lutz, and E. Mayordomo. Proceedings of the Forty-Seventh Annual IEEE Symposium on Foundations of Computer Science (FOCS’06). IEEE Computer Society Press, 469-474 (2006) Cited in the theorem of the day
Dimension is Compression. M. López-Valdés, E. Mayordomo. Proceedings of the 30th International Symposium on Mathematical Foundations of Computer Sience (MFCS'05). Springer-Verlag Lecture Notes in Computer Science, 3618, 676-685 (2005)
Zeta-Dimension. D. Doty, X. Gu, J. H. Lutz, E. Mayordomo, and P. Moser. Proceedings of the 30th International Symposium on Mathematical Foundations of Computer Sience (MFCS'05). Springer-Verlag Lecture Notes in Computer Science, 3618, 283-294 (2005)
Scaled dimension and the Kolmogorov complexity of Turing-hard sets. J.M. Hitchcock, M. López-Valdés, and E. Mayordomo. Proceedings of the 29th International Symposium on Mathematical Foundations of Computer Sience (MFCS'04). Springer-Verlag Lecture Notes in Computer Science, 3153, 476-487 (2004).
Effective strong dimension in algorithmic information and computational complexity. K.B. Athreya, J.M. Hitchcock, J.H. Lutz, and E. Mayordomo. Proceedings of the Twenty-First Symposium on Theoretical Aspects of Computer Science (STACS'04). Springer-Verlag Lecture Notes in Computer Science, 2996, 632-643 (2004)
Scaled dimension and non-uniform complexity. J.M. Hitchcock, J.H. Lutz, and E.Mayordomo. Proceedings of the Thirtieth International Colloquiumon Automata, Languages, and Programming (ICALP'03). Springer-Verlag Lecture Notes in Computer Science, 2719, 278-290 (2003)
Finite state dimension. J.J. Dai, J.I. Lathrop, J.H. Lutz, and E. Mayordomo. Proceedings of theTwenty-Eigth International Colloquium on Automata, Languages, and Programming (ICALP'01). Springer-Verlag Lecture Notes in Computer Science, 2076, 1028-1039 (2001)
A comparison of weak completeness notions. K. Ambos-Spies, E. Mayordomo, and X. Zheng. Proceedings of the Tenth Annual IEEE Conference on Computational Complexity(CCC'96). IEEE Computer Society Press, 171-178 (1996)
Resource-bounded dense genericity, stochasticity and weak randomness.K. Ambos-Spies,E. Mayordomo, Y. Wang, and X. Zheng. Proceedings of the Thirteenth Symposium on Theoretical Aspects of Computer Science (STACS'96). Springer-Verlag Lecture Notes in Computer Science, 1046, 63-74 (1996)
An excursion to the Kolmogorov random strings. H. Buhrman, E. Mayordomo. Proceedings of the Tenth Annual IEEE Conference on Computational Complexity (Structures'95). IEEE Computer Society Press, 197-203 (1995)
A note on genericity and bi-immunity. J.L. Balcazar, E. Mayordomo. Proceedings of the Tenth Annual IEEE Conference on Computational Complexity (Structures'95). IEEE Computer Society Press, 193-196 (1995)
Weakly useful sequences. S.A. Fenner, J.H. Lutz, and E. Mayordomo. Proceedings of theTwenty-Second International Colloquium on Automata, Languages, and Programming (ICALP'95). Springer-Verlag Lecture Notes in Computer Science, 944, 393-404 (1995)
Cook versus Karp-Levin: separating completeness notions if NP is not small. J.H.Lutz, E. Mayordomo. Proceedings of the Eleventh Symposium on Theoretical Aspects of Computer Science (STACS'94). Springer-Verlag Lecture Notes in Computer Science, 775, 415-426 (1994)
Measure, stochasticity, and the density of hard languages. J.H. Lutz, E.Mayordomo. Proceedings of the Tenth Symposium on Theoretical Aspects of Computer Science (STACS'93). Springer-Verlag Lecture Notes in Computer Science, 665, 38-47 (1993)
Almost every set in exponential time is P-bi-immune. E. Mayordomo. Proceedings of the 17th International Symposium on Mathematical Foundations of Computer Sience (MFCS'92). Springer-Verlag Lecture Notes in Computer Science, 629, 392-400 (1992). Best student paper award
Characterizations of logarithmic advice complexity classes. J.L. Balcazar, M. Hermo, and E. Mayordomo. Proceedings of the IFIP 12th World Computer Congress (IFIP'92). J. Van Leeuwen IFIP transactions, A-12, 315-321 (1992)
Measuring in PSPACE. E. Mayordomo. Proceedings of the 7th International Meeting of Young Computer Scientists (IMYCS'92). Gordon-Breach Topics in Computer Science, 6, 93-100 (1994)

Survey Papers

o Una generalización del teorema de proyección de Marstrand. E. Mayordomo. En La columna de Matemática Computacional, La Gaceta de la RSME, 25, 343-352 (2022).

o Algorithmic fractal dimensions in geometric measure theory, J. H. Lutz and E. Mayordomo. In Vasco Brattka and Peter Hertling (eds.), Handbook of Computability and Complexity in Analysis, Springer-Verlag (2021).

o Effective fractal dimension in algorithmic information theory. E. Mayordomo. In New Computational Paradigms: Changing Conceptions of What is Computable, 259-285. Springer-Verlag (2008)

o Two open problems on effective dimension. E. Mayordomo. In Logical Approaches to Computational Barriers, Proceedings of the Second Conference on Computability in Europe (CiE 2006). Springer-Verlag Lecture Notes in Computer Science 3988, 353–359 (2006)

o The fractal geometry of complexity classes. J. M. Hitchcock, J. H. Lutz, and E. Mayordomo. In the Complexity Theory Column (L.A. Hemaspaandra, ed.), SIGACT News 36, 24-38 (2005)

o Effective Hausdorff dimension. E. Mayordomo. In Classical and New Paradigms of Computation and their Complexity Hierarchies, Papers of the conference "Foundations of the Formal Sciences III". Kluwer Academic Publishers, Trends in Logic 23, 171-186 (2004)

o Twelve problems in resource-bounded measure. J. H. Lutz, E. Mayordomo. In Current Trends in Theoretical Computer Science, entering the 21stcentury, 83-101. World Scientific Publishing (2001)

o Twelve problems in resource-bounded measure. J. H. Lutz, E. Mayordomo. Bulletin of the European Association for Theoretical Computer Science 68, 64-80 (1999)

o Resource-Bounded Measure and Randomness. K. Ambos-Spies, E. Mayordomo. In Complexity, Logic and Recursion Theory. Lecture Notes in Pure and Applied Mathematics, 1-47 (1997)

Unpublished Technical reports

Fractal dimensions and profinite groups. E. Mayordomo, A. Nies. arXiv: 2502.09995 (2025)
Bounding the dimension of exceptional sets for orthogonal projections. P. Cholak, M. Csornyei, N. Lutz, P. Lutz, E. Mayordomo, D. M. Stull. arXiv: 2411.04959 (2024)
Normality, Relativization, and Randomness. W. Calvert, E. Grunner, E. Mayordomo, D. Turetsky, J.D. Villano. arXiv:2312.10204 (2025)
A point to set principle for finite-state dimensión. E. Mayordomo. arXiv:2208.00157 (2025)
Resource-bounded Dimension in Computational Learning Theory. R. Gavaldà, M. López-Valdés, and E. Mayordomo, N. V. Vinodchandran. arXiv:1010.5470 (2010)

Ph.D. dissertation

Contributions to the study of resource-bounded measure. E. Mayordomo.(Ph.D. dissertation,U. Politècnica de Catalunya, 1994)

Divulgative Papers

P vs NP. E. Mayordomo. Monografías de la Real Academia de Ciencias de Zaragoza, 26, 57-68 (2004)
On being a woman in research, a personal view. Slides from Women in Computability Workshop 2018 (CiE 2018, Kiel, Germany)

Research grants

Current

Trust-BEyE: Explainable artificial intelligence toward usable and TRUSTworthy computer aided diagnosis solutions of neurodegenerative diseases: bridging knowledge from the Brain to the EyE through the optic nerve. PID2022-138703OB-I00 Ministerio de Ciencia e Innovación (Spanish government), 9-2023 a 2026. Directed by Mónica Hernández and Elvira Mayordomo
Complexity and Dimension: Extending the reach of the point-to-set principle. IES\R3\233275 Royal Society (UK), 3-2024 a 3-2026. Directed by Manlio Valenti and Elvira Mayordomo
Computability in geometric measure theory. American Institute of Mathematics SQuaRE project 2023 to 2025. P. Cholak, M. Csornyei, N. Lutz, P. Lutz, E. Mayordomo, D. M. Stull.
Detección, pronóstico y seguimiento de las enfermedades neurodegenerativas a través del ojo mediante análisis de inteligencia artificial del biomarcador inocuo proporcionado por la tomografía de coherencia óptica. PROY_B50_24, Gobierno de Aragón, Dto. empleo, ciencia y universidades, 1-2025 a 1-2028. Directed by Elena García Martín
Inflamación e inmunopatología de órganos y sistemas. RICORS Red de Enfermedades RD24/0007/0022, Carlos III Health Institute. 11-2024 a 11-2027. Directed by Elena García Martín

Finished

DL-AGEING (Deep Learning Anatomy Genetics ImagiNG): Computational tools for computer-aided diagnosis and prognosis of neurodegenerative diseases with Computational Anatomy, Imaging Genetics, and Deep-Learning. PID2019-104358RB-I00 Ministerio de Ciencia e Innovación (Spanish government), 6-2020 to 2-2024. Directed by Mónica Hernández
DIAmOND (DIAgnosis Of Neurodeg.Diseases): Integration of bioinformatics, cognitive and computational anatomy models towards the improvement of diagnosis of neurodegenerative diseases. TIN2016-80347-R Ministerio de Ciencia e Innovación (Spanish government), 2017 to 2020. Directed by Elvira Mayordomo and Manuel González.
BASMATI: Minería en datos biológicos y sociales: Algoritmos, Teoría e Implementaciones. TIN2011-27479-C04-01 Ministerio de Ciencia e Innovación (Spanish government), 2012 to 2015. Directed and coordinated by Elvira Mayordomo.
SESAAME: SEcuencias Simbólicas: Análisis, Aprendizaje, Minería y Evolución. TIN2008-06582-C03-02 Ministerio de Ciencia e Innovación (Spanish government), 2009 to 2011. Directed by Elvira Mayordomo, coordinated by Ricard Gavaldà.
ZARAMIT: Sistema informático para DNA mitocondrial humano y su estudio evolutivo. PM063/2007 Departamento de Ciencia, Tecnología y Universidad (Aragón government), 2007 to 2009. Directed by Elvira Mayordomo.
Modelado Individualizado de Secuencias de Símbolos. Teoría y Aplicaciones (MOISES-TA). TIN2005-08832-C03-02 Ministerio de Educación y Ciencia (Spanish government), 2006 to 2008. Directed by Elvira Mayordomo, coordinated by Rafael Morales.
SGER: Multidisciplinary Aspects of Computation Theory. NSF (USA government), 2003 to 2006. Directed by Jack H. Lutz.
Modelado individualizado de secuencias simbólicas (MOISES). Ministerio de Ciencia y Tecnología (Spanish government), 12-2002 to 12-2005. Directed and coordinated by Elvira Mayordomo.
Complejidad y medida en gramáticas suavemente sensibles al contexto. Ministerio de Ciencia y Tecnología (Spanish government), 2000 to 2002. Directed by Elvira Mayordomo. Part of the FRESCO project, coordinated by José Luis Balcázar.
CAD integrado para sistemas de iluminación y luminarias. CICYT (Spanish government), 1998 to 2001. Directed by Francisco J. Serón.
Construcción de generadores pseudoaleatorios a partir de la medida de recursos acotados de Lutz. DGICYT (Spanish government), 1995 to 1998. Directed by Elvira Mayordomo.
Instance Complexity y su relación con las clases de complejidad no uniforme. Acción Integrada Hispano-Alemana, 1995 to 1996. Directed by Elvira Mayordomo.
Complexity, Logic and Recursion Theory (COLORET). Unión Europea, Human Capital and Mobility Network, 1994 to 1997. Directed by José Luis Balcázar.
Clases probabilísticas y modelos de cálculo no uniformes. Acción Integrada Hispano-Alemana, 1993. Directed by José Luis Balcázar.
Algorithms and Complexity (ALCOM II). ESPRIT, Unión Europea, 1992 to 1995. Directed by Josep Díaz.

Graduate students

Current Ph.D. students

· Ubaldo Ramón Júlvez, Diagnóstico asistido por computador de enfermedades neurodegenerativas mediante técnicas de anatomía computacional, imaging genetics y deep-learning. Universidad de Zaragoza. Co-advisor: Mónica Hernández.

Completed Ph.D. degrees

Jorge Álvarez Jarreta, Molecular phylogenetic analysis: design and implementation of scalable and reliable algorithms and verification of phylogenetic properties. Universidad de Zaragoza, June 2017. Co-advisor: Gregorio de Miguel.
Antonio Martín Navarro, MITOCLASS.1. Un predictor de patogenicidad para mutaciones no sinónimas en los polipéptidos codificados por el mtDNA humano. Universidad de Zaragoza, September 2016. Co-advisor: Eduardo Ruiz-Pesini.
María López-Valdés, Aplicaciones de la Dimensión Efectiva a la Complejidad Computacional y a los Algoritmos de Compresión de Datos. Universidad de Zaragoza, November 2011.
John M. Hitchcock, Effective Fractal Dimension: Foundations and Applications, Iowa State University, June 2003. Unofficial collaboration. Advisor: Jack H. Lutz.
Jack J. Dai, Some Results in Probability and Theoretical Computer Science. Iowa State University, June 2001. Unofficial collaboration. Advisors: Jack H. Lutz, Krishna B. Athreya.

Completed M.S. degrees

· Rubén Muñoz Sierra, Proper Orthogonal Decomposition (POD) in diffeomorphic registration. Universidad de Zaragoza, septiembre de 2022. Codirectora Mónica Hernández, ponente Tomas Alcalá.

· Ubaldo Ramón, “LDDMM y GANs: Redes Generativas Antagónicas para registro difeomórfico”. Universidad de Zaragoza, febrero de 2022. Codirectora Mónica Hernández.

· Belén Marín, Realización de un estudio de asociación genómica en el repositorio público ADNI. Universidad de Zaragoza, diciembre de 2018. Codirectora Mónica Hernández, ponente Tomas Alcalá.

· Jorge Álvarez Jarreta, Análisis filogenético molecular: Diseño e implementación de algoritmos escalables y fiables y verificación automática de propiedades de una filogenia. Universidad de Zaragoza, September 2011. Co-advisor: Gregorio de Miguel.

· Roberto Blanco, Computational phylogenetics for human mitochondrial DNA. Universidad de Zaragoza, September 2009.

· M. Pilar Albert, D.E.A., Universidad de Zaragoza, September 2007.

Ph.D. Committees

Francisco Rodríguez Gómez, Minería de datos para la sostenibilidad urbana. Universidad de Málaga, June 2023. Advisors: José del Campo Ávila and Llanos Mora López.
Martí Renedo Mirambell, Cluster evaluation on weighted networks. Committee chair, Universitat Politècnica de Catalunya, March 2023. Advisor: Argimiro Alejandro Arratia Quesada.
Alberto Montañola Lactort, The pairwise problem with High Performance Computing Systems, contextualized as a key part to solve the Multiple Sequence alignment problem. Committee chair, Universitat de Lleida, February 2016. Advisors: Concepció Roig Mateu and Porfidio Hernández.
Ma. Estíbaliz Fraca Santamaría, Fluidization of Petri nets to improve the analysis of discrete event systems. Committee chair, Universidad de Zaragoza, May 2015. Advisors: Manuel Silva and Jorge E. Júlvez.
José Ignacio Requeno Jarabo, Formal methods applied to the phylogenetic analysis: phylogenetic model checking. Committee chair, Universidad de Zaragoza, June 2014. Advisor: José M. Colom.
André Rognes, On the methods of mechanical non-theorems. University of Oslo, June 2013.
Carmen Pellicer Lostao, Criptosistemas Caóticos: Estudio, Diseño y Aplicaciones. Universidad de Zaragoza, July 2012. Advisor: Ricardo López Ruiz.
Alexander Krassovitskiy, Complexity and Modeling Power of Insertion-Deletion Systems. Universidad Rovira i Virgili, September 2011. Advisors: Yurii Rogozhin and Sergey Verlan.
Manuel Baena García, Algoritmos, estructuras y heurísticos para minería de cadenas. Universidad de Málaga, March 2011. Advisor: Rafael Morales.
Gregorio de Miguel Casado, Parametric architectures for scientific computing in integrable spaces. The convolution operation as a case of study. Committee chair, Universidad de Alicante, April 2010. Advisor: Juan Manuel García Chamizo.
Xiaoyang Gu, Fractals in Complexity and Geometry. Iowa State University, November 2009. Advisor: Jack H. Lutz.
David S. Doty, Applications of the theory of computation to nanoscale self-assembly. Iowa State University, September 2009. Advisors: Jack H. Lutz and James I. Lathrop.
José del Campo Ávila, Nuevos enfoques en aprendizaje incremental. Universidad de Málaga, July 2007. Advisors: Rafael Morales and Gonzalo Ramos.
Philippe Moser, Derandomization and Quantitative Complexity. Université de Genève, June 2004. Advisor: José D.P. Rolim.
Víctor Lavín, Learnability of some Classes within the Exact Model. Universidad del País Vasco, May 2002. Advisor: Montserrat Hermo.