6 Search Results for "Karl, Holger"


Document
Computing Generalized Convolutions Faster Than Brute Force

Authors: Barış Can Esmer, Ariel Kulik, Dániel Marx, Philipp Schepper, and Karol Węgrzycki

Published in: LIPIcs, Volume 249, 17th International Symposium on Parameterized and Exact Computation (IPEC 2022)


Abstract
In this paper, we consider a general notion of convolution. Let D be a finite domain and let Dⁿ be the set of n-length vectors (tuples) of D. Let f : D × D → D be a function and let ⊕_f be a coordinate-wise application of f. The f-Convolution of two functions g,h : Dⁿ → {-M,…,M} is (g ⊛_f h)(v) := ∑_{v_g,v_h ∈ D^n s.t. v = v_g ⊕_f v_h} g(v_g) ⋅ h(v_h) for every 𝐯 ∈ Dⁿ. This problem generalizes many fundamental convolutions such as Subset Convolution, XOR Product, Covering Product or Packing Product, etc. For arbitrary function f and domain D we can compute f-Convolution via brute-force enumeration in 𝒪̃(|D|^{2n} ⋅ polylog(M)) time. Our main result is an improvement over this naive algorithm. We show that f-Convolution can be computed exactly in 𝒪̃((c ⋅ |D|²)ⁿ ⋅ polylog(M)) for constant c := 5/6 when D has even cardinality. Our main observation is that a cyclic partition of a function f : D × D → D can be used to speed up the computation of f-Convolution, and we show that an appropriate cyclic partition exists for every f. Furthermore, we demonstrate that a single entry of the f-Convolution can be computed more efficiently. In this variant, we are given two functions g,h : Dⁿ → {-M,…,M} alongside with a vector 𝐯 ∈ Dⁿ and the task of the f-Query problem is to compute integer (g ⊛_f h)(𝐯). This is a generalization of the well-known Orthogonal Vectors problem. We show that f-Query can be computed in 𝒪̃(|D|^{(ω/2)n} ⋅ polylog(M)) time, where ω ∈ [2,2.373) is the exponent of currently fastest matrix multiplication algorithm.

Cite as

Barış Can Esmer, Ariel Kulik, Dániel Marx, Philipp Schepper, and Karol Węgrzycki. Computing Generalized Convolutions Faster Than Brute Force. In 17th International Symposium on Parameterized and Exact Computation (IPEC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 249, pp. 12:1-12:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@InProceedings{esmer_et_al:LIPIcs.IPEC.2022.12,
  author =	{Esmer, Bar{\i}\c{s} Can and Kulik, Ariel and Marx, D\'{a}niel and Schepper, Philipp and W\k{e}grzycki, Karol},
  title =	{{Computing Generalized Convolutions Faster Than Brute Force}},
  booktitle =	{17th International Symposium on Parameterized and Exact Computation (IPEC 2022)},
  pages =	{12:1--12:22},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-260-0},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{249},
  editor =	{Dell, Holger and Nederlof, Jesper},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.IPEC.2022.12},
  URN =		{urn:nbn:de:0030-drops-173685},
  doi =		{10.4230/LIPIcs.IPEC.2022.12},
  annote =	{Keywords: Generalized Convolution, Fast Fourier Transform, Fast Subset Convolution}
}
Document
Track B: Automata, Logic, Semantics, and Theory of Programming
Counting Answers to Existential Questions (Track B: Automata, Logic, Semantics, and Theory of Programming)

Authors: Holger Dell, Marc Roth, and Philip Wellnitz

Published in: LIPIcs, Volume 132, 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)


Abstract
Conjunctive queries select and are expected to return certain tuples from a relational database. We study the potentially easier problem of counting all selected tuples, rather than enumerating them. In particular, we are interested in the problem’s parameterized and data complexity, where the query is considered to be small or even fixed, and the database is considered to be large. We identify two structural parameters for conjunctive queries that capture their inherent complexity: The dominating star size and the linked matching number. If the dominating star size of a conjunctive query is large, then we show that counting solution tuples to the query is at least as hard as counting dominating sets, which yields a fine-grained complexity lower bound under the Strong Exponential Time Hypothesis (SETH) as well as a #W[2]-hardness result in parameterized complexity. Moreover, if the linked matching number of a conjunctive query is large, then we show that the structure of the query is so rich that arbitrary queries up to a certain size can be encoded into it; in the language of parameterized complexity, this essentially establishes a #A[2]-completeness result. Using ideas stemming from Lovász (1967), we lift complexity results from the class of conjunctive queries to arbitrary existential or universal formulas that might contain inequalities and negations on constraints over the free variables. As a consequence, we obtain a complexity classification that refines and generalizes previous results of Chen, Durand, and Mengel (ToCS 2015; ICDT 2015; PODS 2016) for conjunctive queries and of Curticapean and Marx (FOCS 2014) for the subgraph counting problem. Our proof also relies on graph minors, and we show a strengthening of the Excluded-Grid-Theorem which might be of independent interest: If the linked matching number (and thus the treewidth) is large, then not only can we find a large grid somewhere in the graph, but we can find a large grid whose diagonal has disjoint paths leading into an assumed node-well-linked set.

Cite as

Holger Dell, Marc Roth, and Philip Wellnitz. Counting Answers to Existential Questions (Track B: Automata, Logic, Semantics, and Theory of Programming). In 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 132, pp. 113:1-113:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


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@InProceedings{dell_et_al:LIPIcs.ICALP.2019.113,
  author =	{Dell, Holger and Roth, Marc and Wellnitz, Philip},
  title =	{{Counting Answers to Existential Questions}},
  booktitle =	{46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)},
  pages =	{113:1--113:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-109-2},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{132},
  editor =	{Baier, Christel and Chatzigiannakis, Ioannis and Flocchini, Paola and Leonardi, Stefano},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2019.113},
  URN =		{urn:nbn:de:0030-drops-106894},
  doi =		{10.4230/LIPIcs.ICALP.2019.113},
  annote =	{Keywords: Conjunctive queries, graph homomorphisms, counting complexity, parameterized complexity, fine-grained complexity}
}
Document
Software Engineering for Self-Adaptive Systems: A second Research Roadmap

Authors: Rogerio de Lemos, Holger Giese, Hausi Müller, Mary Shaw, Jesper Andersson, Luciano Baresi, Basil Becker, Nelly Bencomo, Yuriy Brun, Bojan Cikic, Ron Desmarais, Schahram Dustdar, Gregor Engels, Kurt Geihs, Karl M. Goeschka, Alessandra Gorla, Vincenzo Grassi, Poala Inverardi, Gabor Karsai, Jeff Kramer, Marin Litoiu, Antonia Lopes, Jeff Magee, Sam Malek, Serge Mankovskii, Raffaela Mirandola, John Mylopoulos, Oscar Nierstrasz, Mauro Pezzè, Christian Prehofer, Wilhelm Schäfer, Wilhelm Schlichting, Bradley Schmerl, Dennis B. Smith, Joao P. Sousa, Gabriel Tamura, Ladan Tahvildari, Norha M. Villegas, Thomas Vogel, Danny Weyns, Kenny Wong, and Jochen Wuttke

Published in: Dagstuhl Seminar Proceedings, Volume 10431, Software Engineering for Self-Adaptive Systems (2011)


Abstract
The goal of this roadmap paper is to summarize the state of-the-art and identify research challenges when developing, deploying and managing self-adaptive software systems. Instead of dealing with a wide range of topics associated with the field, we focus on four essential topics of self-adaptation: design space for adaptive solutions, processes, from centralized to decentralized control, and practical run-time verification and validation. For each topic, we present an overview, suggest future directions, and focus on selected challenges. This paper complements and extends a previous roadmap on software engineering for self-adaptive systems published in 2009 covering a different set of topics, and reflecting in part on the previous paper. This roadmap is one of the many results of the Dagstuhl Seminar 10431 on Software Engineering for Self-Adaptive Systems, which took place in October 2010.

Cite as

Rogerio de Lemos, Holger Giese, Hausi Müller, Mary Shaw, Jesper Andersson, Luciano Baresi, Basil Becker, Nelly Bencomo, Yuriy Brun, Bojan Cikic, Ron Desmarais, Schahram Dustdar, Gregor Engels, Kurt Geihs, Karl M. Goeschka, Alessandra Gorla, Vincenzo Grassi, Poala Inverardi, Gabor Karsai, Jeff Kramer, Marin Litoiu, Antonia Lopes, Jeff Magee, Sam Malek, Serge Mankovskii, Raffaela Mirandola, John Mylopoulos, Oscar Nierstrasz, Mauro Pezzè, Christian Prehofer, Wilhelm Schäfer, Wilhelm Schlichting, Bradley Schmerl, Dennis B. Smith, Joao P. Sousa, Gabriel Tamura, Ladan Tahvildari, Norha M. Villegas, Thomas Vogel, Danny Weyns, Kenny Wong, and Jochen Wuttke. Software Engineering for Self-Adaptive Systems: A second Research Roadmap. In Software Engineering for Self-Adaptive Systems. Dagstuhl Seminar Proceedings, Volume 10431, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


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@InProceedings{delemos_et_al:DagSemProc.10431.3,
  author =	{de Lemos, Rogerio and Giese, Holger and M\"{u}ller, Hausi and Shaw, Mary and Andersson, Jesper and Baresi, Luciano and Becker, Basil and Bencomo, Nelly and Brun, Yuriy and Cikic, Bojan and Desmarais, Ron and Dustdar, Schahram and Engels, Gregor and Geihs, Kurt and Goeschka, Karl M. and Gorla, Alessandra and Grassi, Vincenzo and Inverardi, Poala and Karsai, Gabor and Kramer, Jeff and Litoiu, Marin and Lopes, Antonia and Magee, Jeff and Malek, Sam and Mankovskii, Serge and Mirandola, Raffaela and Mylopoulos, John and Nierstrasz, Oscar and Pezz\`{e}, Mauro and Prehofer, Christian and Sch\"{a}fer, Wilhelm and Schlichting, Wilhelm and Schmerl, Bradley and Smith, Dennis B. and Sousa, Joao P. and Tamura, Gabriel and Tahvildari, Ladan and Villegas, Norha M. and Vogel, Thomas and Weyns, Danny and Wong, Kenny and Wuttke, Jochen},
  title =	{{Software Engineering for Self-Adaptive Systems:  A second Research Roadmap}},
  booktitle =	{Software Engineering for Self-Adaptive Systems},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2011},
  volume =	{10431},
  editor =	{Rogerio de Lemos and Holger Giese and Hausi M\"{u}ller and Mary Shaw},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.10431.3},
  URN =		{urn:nbn:de:0030-drops-31561},
  doi =		{10.4230/DagSemProc.10431.3},
  annote =	{Keywords: }
}
Document
10492 Abstracts Collection – Information-Centric Networking

Authors: Dirk Kutscher, Bengt Ahlgren, Holger Karl, Börje Ohlman, Sara Oueslati, and Ignacio Solis

Published in: Dagstuhl Seminar Proceedings, Volume 10492, Information-Centric Networking (2011)


Abstract
From December 5th to 8th 2010, the Dagstuhl Seminar 10492 on "Information-Centric Networking" was held in Schloss Dagstuhl – Leibniz Center for Informatics. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.

Cite as

Dirk Kutscher, Bengt Ahlgren, Holger Karl, Börje Ohlman, Sara Oueslati, and Ignacio Solis. 10492 Abstracts Collection – Information-Centric Networking. In Information-Centric Networking. Dagstuhl Seminar Proceedings, Volume 10492, pp. 1-17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


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@InProceedings{kutscher_et_al:DagSemProc.10492.1,
  author =	{Kutscher, Dirk and Ahlgren, Bengt and Karl, Holger and Ohlman, B\"{o}rje and Oueslati, Sara and Solis, Ignacio},
  title =	{{10492 Abstracts Collection – Information-Centric Networking}},
  booktitle =	{Information-Centric Networking},
  pages =	{1--17},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2011},
  volume =	{10492},
  editor =	{Bengt Ahlgren and Holger Karl and Dirk Kutscher and B\"{o}rje Ohlman and Sara Oueslati and Ignacio Solis},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.10492.1},
  URN =		{urn:nbn:de:0030-drops-29437},
  doi =		{10.4230/DagSemProc.10492.1},
  annote =	{Keywords: Information-Centric Networking, ICN, Content-Centric Networking, CCN, Data-Oriented Networking, DONA, NetInf, 4WARD, SAIL}
}
Document
10492 Executive Summary – Information-Centric Networking

Authors: Dirk Kutscher, Bengt Ahlgren, Holger Karl, Börje Ohlman, Sara Oueslati, and Ignacio Solis

Published in: Dagstuhl Seminar Proceedings, Volume 10492, Information-Centric Networking (2011)


Abstract
This document provides the executive summary of Dagstuhl seminar 10492 on Information-Centric Networking, which took place from December 5th to 8th 2010.

Cite as

Dirk Kutscher, Bengt Ahlgren, Holger Karl, Börje Ohlman, Sara Oueslati, and Ignacio Solis. 10492 Executive Summary – Information-Centric Networking. In Information-Centric Networking. Dagstuhl Seminar Proceedings, Volume 10492, pp. 1-3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


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@InProceedings{kutscher_et_al:DagSemProc.10492.2,
  author =	{Kutscher, Dirk and Ahlgren, Bengt and Karl, Holger and Ohlman, B\"{o}rje and Oueslati, Sara and Solis, Ignacio},
  title =	{{10492 Executive Summary – Information-Centric Networking}},
  booktitle =	{Information-Centric Networking},
  pages =	{1--3},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2011},
  volume =	{10492},
  editor =	{Bengt Ahlgren and Holger Karl and Dirk Kutscher and B\"{o}rje Ohlman and Sara Oueslati and Ignacio Solis},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.10492.2},
  URN =		{urn:nbn:de:0030-drops-29422},
  doi =		{10.4230/DagSemProc.10492.2},
  annote =	{Keywords: Information-Centric Networking, ICN, Content-Centric Networking, CCN, Data-Oriented Networking, DONA, NetInf, 4WARD, SAIL}
}
Document
A Survey of Information-Centric Networking (Draft)

Authors: Bengt Ahlgren, Christian Dannewitz, Claudio Imbrenda, Dirk Kutscher, and Börje Ohlman

Published in: Dagstuhl Seminar Proceedings, Volume 10492, Information-Centric Networking (2011)


Abstract
In this paper we compare and discuss some of the features and design choices of the 4WARD Networking of Information architecture (NetInf), PARC's Content Centric Networking(CCN), the Publish-Subscribe Internet Routing Paradigm (PSIRP), and the Data Oriented Network Architecture (DONA). All four projects take an information-centric approach to designing a future network architecture, where the information objects themselves are the primary focus rather than the network nodes.

Cite as

Bengt Ahlgren, Christian Dannewitz, Claudio Imbrenda, Dirk Kutscher, and Börje Ohlman. A Survey of Information-Centric Networking (Draft). In Information-Centric Networking. Dagstuhl Seminar Proceedings, Volume 10492, pp. 1-26, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


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@InProceedings{ahlgren_et_al:DagSemProc.10492.3,
  author =	{Ahlgren, Bengt and Dannewitz, Christian and Imbrenda, Claudio and Kutscher, Dirk and Ohlman, B\"{o}rje},
  title =	{{A Survey of Information-Centric Networking (Draft)}},
  booktitle =	{Information-Centric Networking},
  pages =	{1--26},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2011},
  volume =	{10492},
  editor =	{Bengt Ahlgren and Holger Karl and Dirk Kutscher and B\"{o}rje Ohlman and Sara Oueslati and Ignacio Solis},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.10492.3},
  URN =		{urn:nbn:de:0030-drops-29410},
  doi =		{10.4230/DagSemProc.10492.3},
  annote =	{Keywords: ICN, CCN, NetInf, DONA, PSIRP}
}
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