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Related papers: I/O-Efficient Dynamic Planar Range Skyline Queries

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We describe fully retroactive dynamic data structures for approximate range reporting and approximate nearest neighbor reporting. We show how to maintain, for any positive constant $d$, a set of $n$ points in $\R^d$ indexed by time such…

Computational Geometry · Computer Science 2011-09-05 Michael T. Goodrich , Joseph A. Simons

We show how to construct a dynamic ordered dictionary, supporting insert/delete/rank/select on a set of $n$ elements from a universe of size $U$, that achieves the optimal amortized expected time complexity of $O(1 + \log n / \log \log U)$,…

Data Structures and Algorithms · Computer Science 2025-10-23 William Kuszmaul , Jingxun Liang , Renfei Zhou

We propose a data structure in $d$-dimensional hyperbolic space that can be considered a natural counterpart to quadtrees in Euclidean spaces. Based on this data structure we propose a so-called L-order for hyperbolic point sets, which is…

Computational Geometry · Computer Science 2025-09-03 Sándor Kisfaludi-Bak , Geert van Wordragen

Many dynamic graph algorithms have an amortized update time, rather than a stronger worst-case guarantee. But amortized data structures are not suitable for real-time systems, where each individual operation has to be executed quickly. For…

Data Structures and Algorithms · Computer Science 2021-03-12 Aaron Bernstein , Sebastian Forster , Monika Henzinger

Adaptive binning is a crucial step in the analysis of large astronomical datasets, such as those from integral-field spectroscopy, to ensure a sufficient signal-to-noise ratio (S/N) for reliable model fitting. However, the widely used…

Instrumentation and Methods for Astrophysics · Physics 2025-11-12 Michele Cappellari

We consider the problem of maintaining a $(1-\epsilon)$-approximation to the densest subgraph (DSG) in an undirected multigraph as it undergoes edge insertions and deletions (the fully dynamic setting). Sawlani and Wang [SW20] developed a…

Data Structures and Algorithms · Computer Science 2022-10-07 Chandra Chekuri , Kent Quanrud

Path Planning and target searching in a three-dimensional environment is a challenging task in the field of robotics. It is an optimization problem as the path from source to destination has to be optimal. This paper aims to generate a…

Artificial Intelligence · Computer Science 2019-11-07 Devansh Verma , Priyansh Saxena , Ritu Tiwari

Given a simple polygon $P$ with $n$ vertices, we consider the problem of constructing a data structure for visibility queries: for any query point $q \in P$, compute the visibility polygon of $q$ in $P$. To obtain $O(\log n + k)$ query…

Computational Geometry · Computer Science 2026-05-06 Sujoy Bhore , Chih-Hung Liu , Anurag Murty Naredla , Yakov Nekrich , Eunjin Oh , André van Renssen , Frank Staals , Haitao Wang , Jie Xue

We lower bound the complexity of finding $\epsilon$-stationary points (with gradient norm at most $\epsilon$) using stochastic first-order methods. In a well-studied model where algorithms access smooth, potentially non-convex functions…

Optimization and Control · Mathematics 2022-03-01 Yossi Arjevani , Yair Carmon , John C. Duchi , Dylan J. Foster , Nathan Srebro , Blake Woodworth

In this paper we describe data structures for orthogonal range reporting in external memory that support fast update operations. The query costs either match the query costs of the best previously known data structures or differ by a small…

Data Structures and Algorithms · Computer Science 2011-07-01 Yakov Nekrich

When faced with changing environment, highly configurable software systems need to dynamically search for promising adaptation plan that keeps the best possible performance, e.g., higher throughput or smaller latency -- a typical planning…

Software Engineering · Computer Science 2022-01-19 Tao Chen

A fundamental challenge in large-scale cloud networks and data centers is to achieve highly efficient server utilization and limit energy consumption, while providing excellent user-perceived performance in the presence of uncertain and…

Probability · Mathematics 2017-06-23 Debankur Mukherjee , Souvik Dhara , Sem Borst , Johan S. H. van Leeuwaarden

Quantum computing is a popular topic in computer science, which has recently attracted many studies in various areas such as machine learning and network. However, the topic of quantum data structures seems neglected. There is an open…

Databases · Computer Science 2024-06-03 Hao Liu , Xiaotian You , Raymond Chi-Wing Wong

We propose to design data structures called succinct geometric indexes of negligible space (more precisely, o(n) bits) that, by taking advantage of the n points in the data set permuted and stored elsewhere as a sequence, to support…

Computational Geometry · Computer Science 2008-05-28 Prosenjit Bose , Eric Y. Chen , Meng He , Anil Maheshwari , Pat Morin

Skyline computation is an increasingly popular query, with broad applicability in domains such as healthcare, travel and finance. Given the recent trend to outsource databases and query evaluation, and due to the proprietary and sometimes…

Databases · Computer Science 2020-03-03 Sepanta Zeighami , Gabriel Ghinita , Cyrus Shahabi

Let $A$ be a static array storing $n$ elements from a totally ordered set. We present a data structure of optimal size at most $n\log_2(3+2\sqrt{2})+o(n)$ bits that allows us to answer the following queries on $A$ in constant time, without…

Data Structures and Algorithms · Computer Science 2011-02-03 Johannes Fischer

This paper introduces LOG.io, a comprehensive solution designed for correct rollback recovery and fine-grain data lineage capture in distributed data pipelines. It is tailored for serverless scalable architectures and uses a log-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Eric Simon , Renato B. Hoffmann , Lucas Alf , Dalvan Griebler

Maximizing submodular functions under cardinality constraints lies at the core of numerous data mining and machine learning applications, including data diversification, data summarization, and coverage problems. In this work, we study this…

Data Structures and Algorithms · Computer Science 2016-11-01 Alessandro Epasto , Silvio Lattanzi , Sergei Vassilvitskii , Morteza Zadimoghaddam

Computing cost optimal paths in network data is a very important task in many application areas like transportation networks, computer networks or social graphs. In many cases, the cost of an edge can be described by various cost criteria.…

Databases · Computer Science 2014-10-02 Michael Shekelyan , Gregor Jossé , Matthias Schubert

Offline reference trajectories for active target tracking are needed both for building multi-modal tracking datasets and for benchmarking online tracking planners under repeatable conditions. We present Track A star (TA star), an offline…

Robotics · Computer Science 2026-05-08 Hanxuan Chen , Kangli Wang , Ji Pei