5 Search Results for "Senellart, Pierre"


Document
An Experimental Study of the Treewidth of Real-World Graph Data

Authors: Silviu Maniu, Pierre Senellart, and Suraj Jog

Published in: LIPIcs, Volume 127, 22nd International Conference on Database Theory (ICDT 2019)


Abstract
Treewidth is a parameter that measures how tree-like a relational instance is, and whether it can reasonably be decomposed into a tree. Many computation tasks are known to be tractable on databases of small treewidth, but computing the treewidth of a given instance is intractable. This article is the first large-scale experimental study of treewidth and tree decompositions of real-world database instances (25 datasets from 8 different domains, with sizes ranging from a few thousand to a few million vertices). The goal is to determine which data, if any, can benefit of the wealth of algorithms for databases of small treewidth. For each dataset, we obtain upper and lower bound estimations of their treewidth, and study the properties of their tree decompositions. We show in particular that, even when treewidth is high, using partial tree decompositions can result in data structures that can assist algorithms.

Cite as

Silviu Maniu, Pierre Senellart, and Suraj Jog. An Experimental Study of the Treewidth of Real-World Graph Data. In 22nd International Conference on Database Theory (ICDT 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 127, pp. 12:1-12:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


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@InProceedings{maniu_et_al:LIPIcs.ICDT.2019.12,
  author =	{Maniu, Silviu and Senellart, Pierre and Jog, Suraj},
  title =	{{An Experimental Study of the Treewidth of Real-World Graph Data}},
  booktitle =	{22nd International Conference on Database Theory (ICDT 2019)},
  pages =	{12:1--12:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-101-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{127},
  editor =	{Barcelo, Pablo and Calautti, Marco},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2019.12},
  URN =		{urn:nbn:de:0030-drops-103147},
  doi =		{10.4230/LIPIcs.ICDT.2019.12},
  annote =	{Keywords: Treewidth, Graph decompositions, Experiments, Query processing}
}
Document
Connecting Width and Structure in Knowledge Compilation

Authors: Antoine Amarilli, Mikaël Monet, and Pierre Senellart

Published in: LIPIcs, Volume 98, 21st International Conference on Database Theory (ICDT 2018)


Abstract
Several query evaluation tasks can be done via knowledge compilation: the query result is compiled as a lineage circuit from which the answer can be determined. For such tasks, it is important to leverage some width parameters of the circuit, such as bounded treewidth or pathwidth, to convert the circuit to structured classes, e.g., deterministic structured NNFs (d-SDNNFs) or OBDDs. In this work, we show how to connect the width of circuits to the size of their structured representation, through upper and lower bounds. For the upper bound, we show how bounded-treewidth circuits can be converted to a d-SDNNF, in time linear in the circuit size. Our bound, unlike existing results, is constructive and only singly exponential in the treewidth. We show a related lower bound on monotone DNF or CNF formulas, assuming a constant bound on the arity (size of clauses) and degree (number of occurrences of each variable). Specifically, any d-SDNNF (resp., SDNNF) for such a DNF (resp., CNF) must be of exponential size in its treewidth; and the same holds for pathwidth when compiling to OBDDs. Our lower bounds, in contrast with most previous work, apply to any formula of this class, not just a well-chosen family. Hence, for our language of DNF and CNF, pathwidth and treewidth respectively characterize the efficiency of compiling to OBDDs and (d-)SDNNFs, that is, compilation is singly exponential in the width parameter. We conclude by applying our lower bound results to the task of query evaluation.

Cite as

Antoine Amarilli, Mikaël Monet, and Pierre Senellart. Connecting Width and Structure in Knowledge Compilation. In 21st International Conference on Database Theory (ICDT 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 98, pp. 6:1-6:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)


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@InProceedings{amarilli_et_al:LIPIcs.ICDT.2018.6,
  author =	{Amarilli, Antoine and Monet, Mika\"{e}l and Senellart, Pierre},
  title =	{{Connecting Width and Structure in Knowledge Compilation}},
  booktitle =	{21st International Conference on Database Theory (ICDT 2018)},
  pages =	{6:1--6:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-063-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{98},
  editor =	{Kimelfeld, Benny and Amsterdamer, Yael},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2018.6},
  URN =		{urn:nbn:de:0030-drops-86083},
  doi =		{10.4230/LIPIcs.ICDT.2018.6},
  annote =	{Keywords: knowledge compilation, probabilistic databases, treewidth, circuits}
}
Document
Possible and Certain Answers for Queries over Order-Incomplete Data

Authors: Antoine Amarilli, Mouhamadou Lamine Ba, Daniel Deutch, and Pierre Senellart

Published in: LIPIcs, Volume 90, 24th International Symposium on Temporal Representation and Reasoning (TIME 2017)


Abstract
To combine and query ordered data from multiple sources, one needs to handle uncertainty about the possible orderings. Examples of such "order-incomplete" data include integrated event sequences such as log entries; lists of properties (e.g., hotels and restaurants) ranked by an unknown function reflecting relevance or customer ratings; and documents edited concurrently with an uncertain order on edits. This paper introduces a query language for order-incomplete data, based on the positive relational algebra with order-aware accumulation. We use partial orders to represent order-incomplete data, and study possible and certain answers for queries in this context. We show that these problems are respectively NP-complete and coNP-complete, but identify many tractable cases depending on the query operators or input partial orders.

Cite as

Antoine Amarilli, Mouhamadou Lamine Ba, Daniel Deutch, and Pierre Senellart. Possible and Certain Answers for Queries over Order-Incomplete Data. In 24th International Symposium on Temporal Representation and Reasoning (TIME 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 90, pp. 4:1-4:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{amarilli_et_al:LIPIcs.TIME.2017.4,
  author =	{Amarilli, Antoine and Ba, Mouhamadou Lamine and Deutch, Daniel and Senellart, Pierre},
  title =	{{Possible and Certain Answers for Queries over Order-Incomplete Data}},
  booktitle =	{24th International Symposium on Temporal Representation and Reasoning (TIME 2017)},
  pages =	{4:1--4:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-052-1},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{90},
  editor =	{Schewe, Sven and Schneider, Thomas and Wijsen, Jef},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2017.4},
  URN =		{urn:nbn:de:0030-drops-79311},
  doi =		{10.4230/LIPIcs.TIME.2017.4},
  annote =	{Keywords: certain answer, possible answer, partial order, uncertain data}
}
Document
Top-k Querying of Unknown Values under Order Constraints

Authors: Antoine Amarilli, Yael Amsterdamer, Tova Milo, and Pierre Senellart

Published in: LIPIcs, Volume 68, 20th International Conference on Database Theory (ICDT 2017)


Abstract
Many practical scenarios make it necessary to evaluate top-k queries over data items with partially unknown values. This paper considers a setting where the values are taken from a numerical domain, and where some partial order constraints are given over known and unknown values: under these constraints, we assume that all possible worlds are equally likely. Our work is the first to propose a principled scheme to derive the value distributions and expected values of unknown items in this setting, with the goal of computing estimated top-k results by interpolating the unknown values from the known ones. We study the complexity of this general task, and show tight complexity bounds, proving that the problem is intractable, but can be tractably approximated. We then consider the case of tree-shaped partial orders, where we show a constructive PTIME solution. We also compare our problem setting to other top-k definitions on uncertain data.

Cite as

Antoine Amarilli, Yael Amsterdamer, Tova Milo, and Pierre Senellart. Top-k Querying of Unknown Values under Order Constraints. In 20th International Conference on Database Theory (ICDT 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 68, pp. 5:1-5:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{amarilli_et_al:LIPIcs.ICDT.2017.5,
  author =	{Amarilli, Antoine and Amsterdamer, Yael and Milo, Tova and Senellart, Pierre},
  title =	{{Top-k Querying of Unknown Values under Order Constraints}},
  booktitle =	{20th International Conference on Database Theory (ICDT 2017)},
  pages =	{5:1--5:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-024-8},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{68},
  editor =	{Benedikt, Michael and Orsi, Giorgio},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2017.5},
  URN =		{urn:nbn:de:0030-drops-70457},
  doi =		{10.4230/LIPIcs.ICDT.2017.5},
  annote =	{Keywords: uncertainty, partial order, unknown values, crowdsourcing, interpolation}
}
Document
Combined Tractability of Query Evaluation via Tree Automata and Cycluits

Authors: Antoine Amarilli, Pierre Bourhis, Mikaël Monet, and Pierre Senellart

Published in: LIPIcs, Volume 68, 20th International Conference on Database Theory (ICDT 2017)


Abstract
We investigate parameterizations of both database instances and queries that make query evaluation fixed-parameter tractable in combined complexity. We introduce a new Datalog fragment with stratified negation, intensional-clique-guarded Datalog (ICG-Datalog), with linear-time evaluation on structures of bounded treewidth for programs of bounded rule size. Such programs capture in particular conjunctive queries with simplicial decompositions of bounded width, guarded negation fragment queries of bounded CQ-rank, or two-way regular path queries. Our result is shown by compiling to alternating two-way automata, whose semantics is defined via cyclic provenance circuits (cycluits) that can be tractably evaluated. Last, we prove that probabilistic query evaluation remains intractable in combined complexity under this parameterization.

Cite as

Antoine Amarilli, Pierre Bourhis, Mikaël Monet, and Pierre Senellart. Combined Tractability of Query Evaluation via Tree Automata and Cycluits. In 20th International Conference on Database Theory (ICDT 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 68, pp. 6:1-6:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{amarilli_et_al:LIPIcs.ICDT.2017.6,
  author =	{Amarilli, Antoine and Bourhis, Pierre and Monet, Mika\"{e}l and Senellart, Pierre},
  title =	{{Combined Tractability of Query Evaluation via Tree Automata and Cycluits}},
  booktitle =	{20th International Conference on Database Theory (ICDT 2017)},
  pages =	{6:1--6:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-024-8},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{68},
  editor =	{Benedikt, Michael and Orsi, Giorgio},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2017.6},
  URN =		{urn:nbn:de:0030-drops-70516},
  doi =		{10.4230/LIPIcs.ICDT.2017.6},
  annote =	{Keywords: query evaluation, tree automata, provenance, treewidth, circuits}
}
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