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Itemset mining is one of the most studied tasks in knowledge discovery. In this paper we analyze the computational complexity of three central itemset mining problems. We prove that mining confident rules with a given item in the head is…

Databases · Computer Science 2020-12-09 Christian Bessiere , Mohamed-Bachir Belaid , Nadjib Lazaar

We introduce a new set of problems based on the Chain Editing problem. In our version of Chain Editing, we are given a set of anonymous participants and a set of undisclosed tasks that every participant attempts. For each participant-task…

Data Structures and Algorithms · Computer Science 2016-12-21 Yang Jiao , R. Ravi , Wolfgang Gatterbauer

Two major goals in machine learning are the discovery and improvement of solutions to complex problems. In this paper, we argue that complexification, i.e. the incremental elaboration of solutions through adding new structure, achieves both…

Artificial Intelligence · Computer Science 2011-07-04 R. Miikkulainen , K. O. Stanley

Evolutionary algorithms are good general problem solver but suffer from a lack of domain specific knowledge. However, the problem specific knowledge can be added to evolutionary algorithms by hybridizing. Interestingly, all the elements of…

Neural and Evolutionary Computing · Computer Science 2013-01-08 Iztok Fister , Marjan Mernik , Janez Brest

We present an aircraft maintenance scheduling problem, which requires suitably qualified staff to be assigned to maintenance tasks on each aircraft. The tasks on each aircraft must be completed within a given turn around window so that the…

Neural and Evolutionary Computing · Computer Science 2025-12-22 Neil Urquhart , Amir Rahimi , Efstathios-Al. Tingas

In this paper we present an evolutionary optimization approach to solve the risk parity portfolio selection problem. While there exist convex optimization approaches to solve this problem when long-only portfolios are considered, the…

Portfolio Management · Quantitative Finance 2015-04-14 Ronald Hochreiter

The events of the last few years revealed an acute need for tools to systematically model and analyze large financial networks. Many applications of such tools include the forecasting of systemic failures and analyzing probable effects of…

Computational Finance · Quantitative Finance 2012-09-19 Zhang Li , Ilya Pollak

Graph clustering is the problem of identifying sparsely connected dense subgraphs (clusters) in a given graph. Proposed clustering algorithms usually optimize various fitness functions that measure the quality of a cluster within the graph.…

Computational Complexity · Computer Science 2007-05-23 Jiri Sima , Satu Elisa Schaeffer

Diversification in a set of solutions has become a hot research topic in the evolutionary computation community. It has been proven beneficial for optimisation problems in several ways, such as computing a diverse set of high-quality…

Neural and Evolutionary Computing · Computer Science 2022-07-29 Adel Nikfarjam , Amirhossein Moosavi , Aneta Neumann , Frank Neumann

Deep learning has solved a problem that as little as five years ago was thought by many to be intractable - the automatic recognition of patterns in data; and it can do so with accuracy that often surpasses human beings. It has solved…

Drori et al. (2022) report that "A neural network solves, explains, and generates university math problems by program synthesis and few-shot learning at human level ... [It] automatically answers 81\% of university-level mathematics…

Artificial Intelligence · Computer Science 2022-08-16 Ernest Davis

Developing algorithms for solving high-dimensional partial differential equations (PDEs) has been an exceedingly difficult task for a long time, due to the notoriously difficult problem known as the "curse of dimensionality". This paper…

Numerical Analysis · Mathematics 2020-07-17 Jiequn Han , Arnulf Jentzen , Weinan E

The algorithmic differentiation (AD) of mathematical functions can be interpreted as a sequence of vertex eliminations in an underlying directed acyclic graph. The problem of determining a minimum-cost elimination ordering, which we call…

Data Structures and Algorithms · Computer Science 2026-05-26 Alex Crane , Pål Grønås Drange , Eli Friedman , Paul D. Hovland , Jan Hückelheim , Andrew Lyons , Yosuke Mizutani , Macéo Ottavy , Blair D. Sullivan

This paper deals with the problem of circle packing, in which the largest radii circle is to be fit in a confined space filled with arbitrary circles of different radii and centers. A circle packing problem is one of a variety of cutting…

Optimization and Control · Mathematics 2024-03-19 Pulkit Mundra , Veni Goyal , Kusum Deep

We perform a refined complexity-theoretic analysis of three classical problems in the context of Hierarchical Task Network Planning: the verification of a provided plan, whether an executable plan exists, and whether a given state can be…

Computational Complexity · Computer Science 2025-01-23 Cornelius Brand , Robert Ganian , Fionn Mc Inerney , Simon Wietheger

Advancements in mathematical programming have made it possible to efficiently tackle large-scale real-world problems that were deemed intractable just a few decades ago. However, provably optimal solutions may not be accepted due to the…

Optimization and Control · Mathematics 2023-12-22 Kevin-Martin Aigner , Marc Goerigk , Michael Hartisch , Frauke Liers , Arthur Miehlich

We consider the following NP-hard problem: in a weighted graph, find a minimum cost set of vertices whose removal leaves a graph in which no two cycles share an edge. We obtain a constant-factor approximation algorithm, based on the…

Data Structures and Algorithms · Computer Science 2015-05-14 Samuel Fiorini , Gwenaël Joret , Ugo Pietropaoli

The network-based study of financial systems has received considerable attention in recent years but has seldom explicitly incorporated the dynamic aspects of such systems. We consider this problem setting from the temporal point of view…

Discrete Mathematics · Computer Science 2024-12-11 Tom Friedetzky , David C. Kutner , George B. Mertzios , Iain A. Stewart , Amitabh Trehan

Modern financial networks are highly connected and result in complex interdependencies of the involved institutions. In the prominent Eisenberg-Noe model, a fundamental aspect is clearing -- to determine the amount of assets available to…

Data Structures and Algorithms · Computer Science 2026-02-19 Leander Besting , Martin Hoefer , Lars Huth

Genetic and comparative genomic studies indicate that extant genomes are more properly considered to be a fusion product of random mutations over generations and genomic material transfers between individuals of different lineages. This has…

Quantitative Methods · Quantitative Biology 2018-01-16 Andreas D. M. Gunawan , Bingxin Lu , Louxin Zhang