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In this paper we propose a new method called ND-Tree-based update (or shortly ND-Tree) for the dynamic non-dominance problem, i.e. the problem of online update of a Pareto archive composed of mutually non-dominated points. It uses a new…

Data Structures and Algorithms · Computer Science 2017-11-08 Andrzej Jaszkiewicz , Thibaut Lust

Many Pareto-based multi-objective evolutionary algorithms require to rank the solutions of the population in each iteration according to the dominance principle, what can become a costly operation particularly in the case of dealing with…

Neural and Evolutionary Computing · Computer Science 2020-02-19 Javier Moreno , Daniel Rodriguez , Antonio Nebro , Jose A. Lozano

Non-dominated sorting is a computational bottleneck in Pareto-based multi-objective evolutionary algorithms (MOEAs) due to the runtime-intensive comparison operations involved in establishing dominance relationships between solution…

Neural and Evolutionary Computing · Computer Science 2022-03-29 Bogdan Burlacu

The dynamic partial sorting problem asks for an algorithm that maintains lists of numbers under the link, cut and change value operations, and queries the sorted sequence of the $k$ least numbers in one of the lists. We first solve the…

Data Structures and Algorithms · Computer Science 2014-04-21 Jiamou Liu , Kostya Ross

In parallel and distributed environments, generational evolutionary algorithms often do not exploit the full potential of the computation system since they have to wait until the entire population is evaluated before starting selection…

Data Structures and Algorithms · Computer Science 2018-04-17 Ilya Yakupov , Maxim Buzdalov

Large Language Models (LLMs) have significantly impacted many facets of natural language processing and information retrieval. Unlike previous encoder-based approaches, the enlarged context window of these generative models allows for…

Information Retrieval · Computer Science 2024-05-24 Andrew Parry , Sean MacAvaney , Debasis Ganguly

We give an algorithm to enumerate the results on trees of monadic second-order (MSO) queries represented by nondeterministic tree automata. After linear time preprocessing (in the input tree), we can enumerate answers with linear delay (in…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Pierre Bourhis , Stefan Mengel , Matthias Niewerth

We consider the online Min-Sum Set Cover (MSSC), a natural and intriguing generalization of the classical list update problem. In Online MSSC, the algorithm maintains a permutation on $n$ elements based on subsets $S_1, S_2, \ldots$…

Data Structures and Algorithms · Computer Science 2022-06-30 Dimitris Fotakis , Loukas Kavouras , Grigorios Koumoutsos , Stratis Skoulakis , Manolis Vardas

This work presents an approach for incrementally updating deep neural network (DNN) models in a non-stationary environment. DNN models are sensitive to changes in input data distribution, which limits their application to problem settings…

Machine Learning · Computer Science 2023-01-31 Abhinit Kumar Ambastha , Leong Tze Yun

A key task in multi-objective optimization is to compute the Pareto subset or frontier $P$ of a given $d$-dimensional objective space $F$; that is, a maximal subset $P\subseteq F$ such that every element in $P$ is not-dominated (it is not…

Data Structures and Algorithms · Computer Science 2025-08-29 Konstantinos Karathanasis , Spyros Kontogiannis , Christos Zaroliagis

The main objective of this survey is to present the important theoretical and experimental results contributed till date in the area of online algorithms for the self organizing sequential search problem, also popularly known as the List…

Data Structures and Algorithms · Computer Science 2009-09-02 Rakesh Mohanty , N. S. Narayanaswamy

Many modern applications produce massive amounts of data series that need to be analyzed, requiring efficient similarity search operations. However, the state-of-the-art data series indexes that are used for this purpose do not scale well…

Databases · Computer Science 2020-06-25 Haridimos Kondylakis , Niv Dayan , Kostas Zoumpatianos , Themis Palpanas

We study the consistent k-center clustering problem. In this problem, the goal is to maintain a constant factor approximate $k$-center solution during a sequence of $n$ point insertions and deletions while minimizing the recourse, i.e., the…

Data Structures and Algorithms · Computer Science 2023-07-27 Jakub Łącki , Bernhard Haeupler , Christoph Grunau , Václav Rozhoň , Rajesh Jayaram

Sorting over bounded-universe integer keys has traditionally relied on counting sort and radix sort, both of which incur mandatory prefix-sum passes, auxiliary scatter buffers, or multiple permutation passes. This paper introduces DialSort,…

Data Structures and Algorithms · Computer Science 2026-05-19 Alexander Narvaez

Maintaining an archive of all non-dominated points is a standard task in multi-objective optimization. Sometimes it is sufficient to store all evaluated points and to obtain the non-dominated subset in a post-processing step. Alternatively…

Data Structures and Algorithms · Computer Science 2016-09-13 Tobias Glasmachers

In this paper we study the dynamic versions of two basic graph problems: Minimum Dominating Set and its variant Minimum Connected Dominating Set. For those two problems, we present algorithms that maintain a solution under edge insertions…

Data Structures and Algorithms · Computer Science 2019-01-29 Niklas Hjuler , Giuseppe F. Italiano , Nikos Parotsidis , David Saulpic

We give optimal sorting algorithms in the evolving data framework, where an algorithm's input data is changing while the algorithm is executing. In this framework, instead of producing a final output, an algorithm attempts to maintain an…

Data Structures and Algorithms · Computer Science 2018-05-10 Juan Jose Besa , William E. Devanny , David Eppstein , Michael T. Goodrich , Timothy Johnson

As the categories of named entities rapidly increase, the deployed NER models are required to keep updating toward recognizing more entity types, creating a demand for class-incremental learning for NER. Considering the privacy concerns and…

Computation and Language · Computer Science 2023-07-25 Ruotian Ma , Xuanting Chen , Lin Zhang , Xin Zhou , Junzhe Wang , Tao Gui , Qi Zhang , Xiang Gao , Yunwen Chen

Given a rooted tree and a ranking of its leaves, what is the minimum number of inversions of the leaves that can be attained by ordering the tree? This variation of the problem of counting inversions in arrays originated in mathematical…

Data Structures and Algorithms · Computer Science 2024-07-02 Ivan Hu , Dieter van Melkebeek , Andrew Morgan

Evaluating performance across optimization algorithms on many problems presents a complex challenge due to the diversity of numerical scales involved. Traditional data processing methods, such as hypothesis testing and Bayesian inference,…

Optimization and Control · Mathematics 2024-09-10 Yunpeng Jinng , Qunfeng Liu
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