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This study introduces a hybrid meta-heuristic for generating feasible course timetables in large-scale scenarios. We conducted tests using our university's instances. The current commercial software often struggles to meet constraints and…

Optimization and Control · Mathematics 2023-11-01 João Almeida , José Rui Figueira , Alexandre P. Francisco , Daniel Santos

In this paper we propose and study a new complexity model for approximation algorithms. The main motivation are practical problems over large data sets that need to be solved many times for different scenarios, e.g., many multicast trees…

Data Structures and Algorithms · Computer Science 2010-06-18 Marek Cygan , Lukasz Kowalik , Marcin Mucha , Marcin Pilipczuk , Piotr Sankowski

Recently, the retrieval models based on dense representations have been gradually applied in the first stage of the document retrieval tasks, showing better performance than traditional sparse vector space models. To obtain high efficiency,…

Information Retrieval · Computer Science 2021-08-20 Hongyin Tang , Xingwu Sun , Beihong Jin , Jingang Wang , Fuzheng Zhang , Wei Wu

In this work, we define the problem of finding an optimal query plan as finding spanning trees with low costs. This approach empowers the utilization of a series of spanning tree algorithms, thereby enabling systematic exploration of the…

Databases · Computer Science 2024-03-08 Yesdaulet Izenov , Asoke Datta , Brian Tsan , Abylay Amanbayev , Florin Rusu

Engineering efficient implementations of compact and succinct structures is a time-consuming and challenging task, since there is no standard library of easy-to- use, highly optimized, and composable components. One consequence is that…

Data Structures and Algorithms · Computer Science 2013-11-07 Simon Gog , Timo Beller , Alistair Moffat , Matthias Petri

Min-Cut queries are fundamental: Preprocess an undirected edge-weighted graph, to quickly report a minimum-weight cut that separates a query pair of nodes $s,t$. The best data structure known for this problem simply builds a cut-equivalent…

Data Structures and Algorithms · Computer Science 2020-09-15 Amir Abboud , Robert Krauthgamer , Ohad Trabelsi

We study the complexity and expressive power of conjunctive queries over unranked labeled trees represented using a variety of structure relations such as ``child'', ``descendant'', and ``following'' as well as unary relations for node…

Databases · Computer Science 2007-05-23 Georg Gottlob , Christoph Koch , Klaus U. Schulz

The optimization of expensive-to-evaluate black-box functions over combinatorial structures is an ubiquitous task in machine learning, engineering and the natural sciences. The combinatorial explosion of the search space and costly…

Machine Learning · Statistics 2018-10-11 Ricardo Baptista , Matthias Poloczek

Large Language Models (LLMs) have been increasingly employed for query expansion. However, their generative nature often undermines performance on complex multi-hop retrieval tasks by introducing irrelevant or noisy information. To address…

Information Retrieval · Computer Science 2026-03-24 JungMin Yun , YoungBin Kim

One of the key problems in tensor network based quantum circuit simulation is the construction of a contraction tree which minimizes the cost of the simulation, where the cost can be expressed in the number of operations as a proxy for the…

Quantum Physics · Physics 2022-09-08 Cameron Ibrahim , Danylo Lykov , Zichang He , Yuri Alexeev , Ilya Safro

Tries are popular data structures for storing a set of strings, where common prefixes are represented by common root-to-node paths. Over fifty years of usage have produced many variants and implementations to overcome some of their…

Data Structures and Algorithms · Computer Science 2011-12-06 Roberto Grossi , Giuseppe Ottaviano

Counterfactual explanations are usually generated through heuristics that are sensitive to the search's initial conditions. The absence of guarantees of performance and robustness hinders trustworthiness. In this paper, we take a…

Machine Learning · Computer Science 2021-06-28 Axel Parmentier , Thibaut Vidal

This paper proposes a new general technique for maximal subgraph enumeration which we call proximity search, whose aim is to design efficient enumeration algorithms for problems that could not be solved by existing frameworks. To support…

Data Structures and Algorithms · Computer Science 2021-08-19 Alessio Conte , Andrea Marino , Roberto Grossi , Takeaki Uno , Luca Versari

Operations research practitioners frequently want to model complicated functions that are are difficult to encode in their underlying optimisation framework. A common approach is to solve an approximate model, and to use a simulation to…

Optimization and Control · Mathematics 2022-07-06 Michael Forbes , Mitchell Harris , Marijn Jansen , Femke van der Schoot , Thomas Taimre

Cylindrical Algebraic Decomposition (CAD) has long been one of the most important algorithms within Symbolic Computation, as a tool to perform quantifier elimination in first order logic over the reals. More recently it is finding…

Symbolic Computation · Computer Science 2020-03-23 Matthew England , Russell Bradford , James H. Davenport

Recombining trinomial trees are a workhorse for modeling discrete-event systems in option pricing, logistics, and feedback control. Because each node stores a state-dependent quantity, a depth-$D$ tree naively yields $\mathcal{O}(3^{D})$…

Data Structures and Algorithms · Computer Science 2025-10-06 Ethan Torres , Ramavarapu Sreenivas , Richard Sowers

In many data analysis pipelines, a basic and time-consuming process is to produce join results and feed them into downstream tasks. Numerous enumeration algorithms have been developed for this purpose. To be a statistically meaningful…

Databases · Computer Science 2025-07-02 Pengyu Chen , Zizheng Guo , Jianwei Yang , Dongjing Miao

We develop hierarchically quantized efficient embedding representations for similarity-based search and show that this representation provides not only the state of the art performance on the search accuracy but also provides several orders…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Yeonwoo Jeong , Yoonsung Kim , Hyun Oh Song

As data are increasingly modeled as graphs for expressing complex relationships, the tree pattern query on graph-structured data becomes an important type of queries in real-world applications. Most practical query languages, such as XQuery…

Databases · Computer Science 2015-03-19 Qiang Zeng , Xiaorui Jiang , Hai Zhuge

Predicting the execution time of queries is an important problem with applications in scheduling, service level agreements and error detection. During query planning, a cost is associated with the chosen execution plan and used to rank…

Databases · Computer Science 2019-05-03 Anthony Kleerekoper , Javier Navaridas , Mikel Lujan