189,392 research outputs found
External Memory Three-Sided Range Reporting and Top-k Queries with Sublogarithmic Updates
An external memory data structure is presented for maintaining a dynamic set of N two-dimensional points under the insertion and deletion of points, and supporting unsorted 3-sided range reporting queries and top-k queries, where top-k queries report the k points with highest y-value within a given x-range. For any constant 0 < epsilon <= 1/2, a data structure is constructed that supports updates in amortized O(1/(epsilon * B^{1-epsilon}) * log_B(N)) IOs and queries in amortized O(1/epsilon * log_B(N+K/B)) IOs, where B is the external memory block size, and K is the size of the output to the query (for top-k queries K is the minimum of k and the number of points in the query interval). The data structure uses linear space. The update bound is a significant factor B^{1-epsilon} improvement over the previous best update bounds for these two query problems, while staying within the same query and space bounds
Optimal Color Range Reporting in One Dimension
Color (or categorical) range reporting is a variant of the orthogonal range
reporting problem in which every point in the input is assigned a \emph{color}.
While the answer to an orthogonal point reporting query contains all points in
the query range , the answer to a color reporting query contains only
distinct colors of points in . In this paper we describe an O(N)-space data
structure that answers one-dimensional color reporting queries in optimal
time, where is the number of colors in the answer and is the
number of points in the data structure. Our result can be also dynamized and
extended to the external memory model
I/O-Efficient Dynamic Planar Range Skyline Queries
We present the first fully dynamic worst case I/O-efficient data structures
that support planar orthogonal \textit{3-sided range skyline reporting queries}
in \bigO (\log_{2B^\epsilon} n + \frac{t}{B^{1-\epsilon}}) I/Os and updates
in \bigO (\log_{2B^\epsilon} n) I/Os, using \bigO
(\frac{n}{B^{1-\epsilon}}) blocks of space, for input planar points,
reported points, and parameter . We obtain the result
by extending Sundar's priority queues with attrition to support the operations
\textsc{DeleteMin} and \textsc{CatenateAndAttrite} in \bigO (1) worst case
I/Os, and in \bigO(1/B) amortized I/Os given that a constant number of blocks
is already loaded in main memory. Finally, we show that any pointer-based
static data structure that supports \textit{dominated maxima reporting
queries}, namely the difficult special case of 4-sided skyline queries, in
\bigO(\log^{\bigO(1)}n +t) worst case time must occupy space, by adapting a similar lower bounding argument for
planar 4-sided range reporting queries.Comment: Submitted to SODA 201
I/O-Efficient Planar Range Skyline and Attrition Priority Queues
In the planar range skyline reporting problem, we store a set P of n 2D
points in a structure such that, given a query rectangle Q = [a_1, a_2] x [b_1,
b_2], the maxima (a.k.a. skyline) of P \cap Q can be reported efficiently. The
query is 3-sided if an edge of Q is grounded, giving rise to two variants:
top-open (b_2 = \infty) and left-open (a_1 = -\infty) queries.
All our results are in external memory under the O(n/B) space budget, for
both the static and dynamic settings:
* For static P, we give structures that answer top-open queries in O(log_B n
+ k/B), O(loglog_B U + k/B), and O(1 + k/B) I/Os when the universe is R^2, a U
x U grid, and a rank space grid [O(n)]^2, respectively (where k is the number
of reported points). The query complexity is optimal in all cases.
* We show that the left-open case is harder, such that any linear-size
structure must incur \Omega((n/B)^e + k/B) I/Os for a query. We show that this
case is as difficult as the general 4-sided queries, for which we give a static
structure with the optimal query cost O((n/B)^e + k/B).
* We give a dynamic structure that supports top-open queries in O(log_2B^e
(n/B) + k/B^1-e) I/Os, and updates in O(log_2B^e (n/B)) I/Os, for any e
satisfying 0 \le e \le 1. This leads to a dynamic structure for 4-sided queries
with optimal query cost O((n/B)^e + k/B), and amortized update cost O(log
(n/B)).
As a contribution of independent interest, we propose an I/O-efficient
version of the fundamental structure priority queue with attrition (PQA). Our
PQA supports FindMin, DeleteMin, and InsertAndAttrite all in O(1) worst case
I/Os, and O(1/B) amortized I/Os per operation.
We also add the new CatenateAndAttrite operation that catenates two PQAs in
O(1) worst case and O(1/B) amortized I/Os. This operation is a non-trivial
extension to the classic PQA of Sundar, even in internal memory.Comment: Appeared at PODS 2013, New York, 19 pages, 10 figures. arXiv admin
note: text overlap with arXiv:1208.4511, arXiv:1207.234
A Dynamic I/O-Efficient Structure for One-Dimensional Top-k Range Reporting
We present a structure in external memory for "top-k range reporting", which
uses linear space, answers a query in O(lg_B n + k/B) I/Os, and supports an
update in O(lg_B n) amortized I/Os, where n is the input size, and B is the
block size. This improves the state of the art which incurs O(lg^2_B n)
amortized I/Os per update.Comment: In PODS'1
Conceptual evidence collection and analysis methodology for Android devices
Android devices continue to grow in popularity and capability meaning the
need for a forensically sound evidence collection methodology for these devices
also increases. This chapter proposes a methodology for evidence collection and
analysis for Android devices that is, as far as practical, device agnostic.
Android devices may contain a significant amount of evidential data that could
be essential to a forensic practitioner in their investigations. However, the
retrieval of this data requires that the practitioner understand and utilize
techniques to analyze information collected from the device. The major
contribution of this research is an in-depth evidence collection and analysis
methodology for forensic practitioners.Comment: in Cloud Security Ecosystem (Syngress, an Imprint of Elsevier), 201
Proximal business intelligence on the semantic web
This is the post-print version of this article. The official version can be accessed from the link below - Copyright @ 2010 Springer.Ubiquitous information systems (UBIS) extend current Information System thinking to explicitly differentiate technology between devices and software components with relation to people and process. Adapting business data and management information to support specific user actions in context is an ongoing topic of research. Approaches typically focus on providing mechanisms to
improve specific information access and transcoding but not on how the information
can be accessed in a mobile, dynamic and ad-hoc manner. Although web ontology has been used to facilitate the loading of data warehouses, less research has been carried out on ontology based mobile reporting. This paper explores how business data can be modeled and accessed using the web ontology
language and then re-used to provide the invisibility of pervasive access; uncovering
more effective architectural models for adaptive information system strategies of this type. This exploratory work is guided in part by a vision of business intelligence that is highly distributed, mobile and fluid, adapting to sensory understanding of the underlying environment in which it operates. A proof-of concept mobile and ambient data access architecture is developed in order to further test the viability of such an approach. The paper concludes with an ontology engineering framework for systems of this type – named UBIS-ONTO
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