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In a temporal forest each edge has an associated set of time labels that specify the time instants in which the edges are available. A temporal path from vertex $u$ to vertex $v$ in the forest is a selection of a label for each edge in the…

Data Structures and Algorithms · Computer Science 2024-09-30 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti , Alessandro Straziota

We introduce and analyze two parameter-free linear-memory tree search algorithms. Under mild assumptions we prove our algorithms are guaranteed to perform only a logarithmic factor more node expansions than A* when the search space is a…

Artificial Intelligence · Computer Science 2019-06-10 Laurent Orseau , Levi H. S. Lelis , Tor Lattimore

The next-generation non-volatile memory (NVM) is striding into computer systems as a new tier as it incorporates both DRAM's byte-addressability and disk's persistency. Researchers and practitioners have considered building persistent…

Data Structures and Algorithms · Computer Science 2021-06-02 Chongnan Ye , Chundong Wang

We present a general transformation for combining a constant number of binary search tree data structures (BSTs) into a single BST whose running time is within a constant factor of the minimum of any "well-behaved" bound on the running time…

Data Structures and Algorithms · Computer Science 2013-04-30 Erik D. Demaine , John Iacono , Stefan Langerman , Özgür Özkan

We introduce exponential search trees as a novel technique for converting static polynomial space search structures for ordered sets into fully-dynamic linear space data structures. This leads to an optimal bound of O(sqrt(log n/loglog n))…

Data Structures and Algorithms · Computer Science 2007-05-23 Arne Andersson , Mikkel Thorup

We give the first algorithm that maintains an approximate decision tree over an arbitrary sequence of insertions and deletions of labeled examples, with strong guarantees on the worst-case running time per update request. For instance, we…

Data Structures and Algorithms · Computer Science 2023-02-13 Marco Bressan , Mauro Sozio

Bayesian optimization (BO) is a sample-efficient global optimization algorithm for black-box functions which are expensive to evaluate. Existing literature on model based optimization in conditional parameter spaces are usually built on…

Machine Learning · Statistics 2020-10-08 Xingchen Ma , Matthew B. Blaschko

Dynamic tree data structures maintain a forest while supporting insertion and deletion of edges and a broad set of queries in $O(\log n)$ time per operation. Such data structures are at the core of many modern algorithms. Recent work has…

Data Structures and Algorithms · Computer Science 2025-06-23 Humza Ikram , Andrew Brady , Daniel Anderson , Guy Blelloch

Binary search trees (BSTs) with rotations can adapt to various kinds of structure in search sequences, achieving amortized access times substantially better than the Theta(log n) worst-case guarantee. Classical examples of structural…

Data Structures and Algorithms · Computer Science 2016-03-17 Parinya Chalermsook , Mayank Goswami , László Kozma , Kurt Mehlhorn , Thatchaphol Saranurak

The Binary Space Partitioning-Tree~(BSP-Tree) process was recently proposed as an efficient strategy for space partitioning tasks. Because it uses more than one dimension to partition the space, the BSP-Tree Process is more efficient and…

Machine Learning · Statistics 2020-03-03 Xuhui Fan , Bin Li , Scott A. Sisson

We present space-efficient parallel strategies for two fundamental combinatorial search problems, namely, backtrack search and branch-and-bound, both involving the visit of an $n$-node tree of height $h$ under the assumption that a node can…

Data Structures and Algorithms · Computer Science 2014-03-27 Andrea Pietracaprina , Geppino Pucci , Francesco Silvestri , Fabio Vandin

An algorithm on weighted graphs is called universally optimal if it is optimal for every input graph, in the worst case taken over all weight assignments. Informally, this means the algorithm is competitive even with algorithms that are…

Data Structures and Algorithms · Computer Science 2026-02-19 Benjamin Aram Berendsohn

We present two algorithms for dynamically maintaining a spanning forest of a graph undergoing edge insertions and deletions. Our algorithms guarantee {\em worst-case update time} and work against an adaptive adversary, meaning that an edge…

Data Structures and Algorithms · Computer Science 2017-04-19 Danupon Nanongkai , Thatchaphol Saranurak

Decision trees remain one of the most popular machine learning models today, largely due to their out-of-the-box performance and interpretability. In this work, we present a Bayesian approach to decision tree induction via maximum a…

Machine Learning · Computer Science 2023-12-21 Colin Sullivan , Mo Tiwari , Sebastian Thrun

In this paper we present a novel algorithm for concurrent lock-free internal binary search trees (BST) and implement a Set abstract data type (ADT) based on that. We show that in the presented lock-free BST algorithm the amortized step…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-12 Bapi Chatterjee , Nhan Nguyen , Philippas Tsigas

Learning a Bayesian networks with bounded treewidth is important for reducing the complexity of the inferences. We present a novel anytime algorithm (k-MAX) method for this task, which scales up to thousands of variables. Through extensive…

Artificial Intelligence · Computer Science 2018-02-08 Mauro Scanagatta , Giorgio Corani , Marco Zaffalon , Jaemin Yoo , U Kang

Efficient evaluation of multi-dimensional range queries in a main-memory database is an important, but difficult task. State-of-the-art techniques rely on optimised sequential scans or tree-based structures. For range queries with small…

Databases · Computer Science 2017-04-06 Jonas Schneider

This paper introduces a search algorithm for index structures based on a B+ tree, specifically optimized for execution on a field-programmable gate array (FPGA). Our implementation efficiently traverses and reuses tree nodes by processing a…

Hardware Architecture · Computer Science 2026-04-24 Max Tzschoppe , Martin Wilhelm , Sven Groppe , Thilo Pionteck

The problem of adversarial robustness has been studied extensively for neural networks. However, for boosted decision trees and decision stumps there are almost no results, even though they are widely used in practice (e.g. XGBoost) due to…

Machine Learning · Computer Science 2019-11-01 Maksym Andriushchenko , Matthias Hein

A tree-packing is a collection of spanning trees of a graph. It has been a useful tool for computing the minimum cut in static, dynamic, and distributed settings. In particular, [Thorup, Comb. 2007] used them to obtain his dynamic min-cut…

Data Structures and Algorithms · Computer Science 2024-12-05 Tijn de Vos , Aleksander B. G. Christiansen
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