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Documents authored by Giancarlo, Raffaele

Document
DOI: 10.4230/LIPIcs.CPM.2019.12
A New Class of Searchable and Provably Highly Compressible String Transformations

Authors: Raffaele Giancarlo, Giovanni Manzini, Giovanna Rosone, and Marinella Sciortino

Published in: LIPIcs, Volume 128, 30th Annual Symposium on Combinatorial Pattern Matching (CPM 2019)

Abstract
The Burrows-Wheeler Transform is a string transformation that plays a fundamental role for the design of self-indexing compressed data structures. Over the years, researchers have successfully extended this transformation outside the domains of strings. However, efforts to find non-trivial alternatives of the original, now 25 years old, Burrows-Wheeler string transformation have met limited success. In this paper we bring new lymph to this area by introducing a whole new family of transformations that have all the "myriad virtues" of the BWT: they can be computed and inverted in linear time, they produce provably highly compressible strings, and they support linear time pattern search directly on the transformed string. This new family is a special case of a more general class of transformations based on context adaptive alphabet orderings, a concept introduced here. This more general class includes also the Alternating BWT, another invertible string transforms recently introduced in connection with a generalization of Lyndon words.
Cite as

Raffaele Giancarlo, Giovanni Manzini, Giovanna Rosone, and Marinella Sciortino. A New Class of Searchable and Provably Highly Compressible String Transformations. In 30th Annual Symposium on Combinatorial Pattern Matching (CPM 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 128, pp. 12:1-12:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

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@InProceedings{giancarlo_et_al:LIPIcs.CPM.2019.12,
  author =	{Giancarlo, Raffaele and Manzini, Giovanni and Rosone, Giovanna and Sciortino, Marinella},
  title =	{{A New Class of Searchable and Provably Highly Compressible String Transformations}},
  booktitle =	{30th Annual Symposium on Combinatorial Pattern Matching (CPM 2019)},
  pages =	{12:1--12:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-103-0},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{128},
  editor =	{Pisanti, Nadia and P. Pissis, Solon},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2019.12},
  URN =		{urn:nbn:de:0030-drops-104833},
  doi =		{10.4230/LIPIcs.CPM.2019.12},
  annote =	{Keywords: Data Indexing and Compression, Burrows-Wheeler Transformation, Combinatorics on Words}
}
Document
DOI: 10.4230/DagSemProc.10231.6
Functional Information, Biomolecular Messages and Complexity of BioSequences and Structures

Authors: Raffaele Giancarlo, Davide Corona, Valeria Di Benedetto, Alessandra Gabriele, and Filippo Utro

Published in: Dagstuhl Seminar Proceedings, Volume 10231, Structure Discovery in Biology: Motifs, Networks & Phylogenies (2010)

Abstract
In the quest for a mathematical measure able to capture and shed light on the dual notions of information and complexity in biosequences, Hazen et al. have introduced the notion of Functional Information (FI for short). It is also the result of earlier considerations and findings by Szostak and Carothers et al. Based on the experiments by Charoters et al., regarding FI in RNA binding activities, we decided to study the relation existing between FI and classic measures of complexity applied on protein-DNA interactions on a genome-wide scale. Using classic complexity measures, i.e, Shannon entropy and Kolmogorov Complexity as both estimated by data compression, we found that FI applied to protein-DNA interactions is genuinely different from them. Such a fact, together with the non-triviality of the biological function considered, contributes to the establishment of FI as a novel and useful measure of biocomplexity. Remarkably, we also found a relationship, on a genome-wide scale, between the redundancy of a genomic region and its ability to interact with a protein. This latter finding justifies even more some principles for the design of motif discovery algorithms. Finally, our experiments bring to light methodological limitations of Linguistic Complexity measures, i.e., a class of measures that is a function of the vocabulary richness of a sequence. Indeed, due to the technology and associated statistical preprocessing procedures used to conduct our studies, i.e., genome-wide ChIP-chip experiments, that class of measures cannot give any statistically significant indication about complexity and function. A serious limitation due to the widespread use of the technology. References J.M. Carothers, S.C. Oestreich, J.H. Davis, and J.W. Szostack. Informational complexity and functional activity of RNA structures. J. AM. CHEM. SOC., 126 (2004), pp. 5130-5137. R.M. Hazen, P.L. Griffin, J.M. Carothers, and J.W. Szostak. Functional Information and the emergence of biocomplexity. Proc. of Nat. Acad. Sci, 104 (2007), pp. 8574-8581. J.W. Szostak. Functional Information: molecular messages, Nature, 423 (2003).
Cite as

Raffaele Giancarlo, Davide Corona, Valeria Di Benedetto, Alessandra Gabriele, and Filippo Utro. Functional Information, Biomolecular Messages and Complexity of BioSequences and Structures. In Structure Discovery in Biology: Motifs, Networks & Phylogenies. Dagstuhl Seminar Proceedings, Volume 10231, pp. 1-13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{giancarlo_et_al:DagSemProc.10231.6,
  author =	{Giancarlo, Raffaele and Corona, Davide and Di Benedetto, Valeria and Gabriele, Alessandra and Utro, Filippo},
  title =	{{Functional Information, Biomolecular Messages and Complexity of BioSequences and Structures}},
  booktitle =	{Structure Discovery in Biology: Motifs, Networks \& Phylogenies},
  pages =	{1--13},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2010},
  volume =	{10231},
  editor =	{Alberto Apostolico and Andreas Dress and Laxmi Parida},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.10231.6},
  URN =		{urn:nbn:de:0030-drops-26884},
  doi =		{10.4230/DagSemProc.10231.6},
  annote =	{Keywords: Functional activity, sequence complexity, combinatorics on words, protein-DNA interaction.}
}
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