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Related papers: Incremental Maintenance for Leapfrog Triejoin

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Maintenance of association rules is an interesting problem. Several incremental maintenance algorithms were proposed since the work of (Cheung et al, 1996). The majority of these algorithms maintain rule bases assuming that support…

Artificial Intelligence · Computer Science 2017-01-31 Mohamed Anis Bach Tobji , Mohamed Salah Gouider

Recent years have seen exciting developments in join algorithms. In 2008, Atserias, Grohe and Marx (henceforth AGM) proved a tight bound on the maximum result size of a full conjunctive query, given constraints on the input relation sizes.…

Databases · Computer Science 2013-12-23 Todd L. Veldhuizen

Recently, the cyclic association rules have been introduced in order to discover rules from items characterized by their regular variation over time. In real life situations, temporal databases are often appended or updated. Rescanning the…

Databases · Computer Science 2015-06-01 Eya ben Ahmed , Mohamed Salah Gouider

A new algorithm is introduced to integrate the equations of rotational motion. The algorithm is derived within a leapfrog framework and the quantities involved into the integration are mid-step angular momenta and on-step orientational…

Computational Physics · Physics 2007-05-23 Igor P. Omelyan

We present an algorithm for maintaining the width of a planar point set dynamically, as points are inserted or deleted. Our algorithm takes time O(kn^epsilon) per update, where k is the amount of change the update causes in the convex hull,…

Computational Geometry · Computer Science 2010-01-21 David Eppstein

The leapfrog integrator is widely used because of its excellent stability in molecular dynamics simulation. This is recognized as being due to the existence of a discrete variational structure of the equations. We introduce a modified…

Computational Physics · Physics 2015-06-12 A. C. Maggs

We provide an algorithm for adaptive legged locomotion via online learning and model predictive control. The algorithm is composed of two interacting modules: model predictive control (MPC) and online learning of residual dynamics. The…

Robotics · Computer Science 2025-12-02 Hongyu Zhou , Xiaoyu Zhang , Vasileios Tzoumas

The Stoermer-Verlet-leapfrog group of integrators commonly used in molecular dynamics simulations has long become a textbook subject and seems to have been studied exhaustively. There are, however, a few striking effects in performance of…

Computational Physics · Physics 2009-10-30 Alexey K. Mazur

It is shown how to enhance any data structure in the pointer model to make it confluently persistent, with efficient query and update times and limited space overhead. Updates are performed in $O(\log n)$ amortized time, and following a…

Data Structures and Algorithms · Computer Science 2011-04-18 Sebastien Collette , John Iacono , Stefan Langerman

We consider the problem of incrementally maintaining the triangle count query under single-tuple updates to the input relations. We introduce an approach that exhibits a space-time tradeoff such that the space-time product is quadratic in…

Databases · Computer Science 2019-03-26 Ahmet Kara , Hung Q. Ngo , Milos Nikolic , Dan Olteanu , Haozhe Zhang

This paper focuses on the alignment of flow matching models with human preferences. A promising way is fine-tuning by directly backpropagating reward gradients through the differentiable generation process of flow matching. However,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Zhanhao Liang , Tao Yang , Jie Wu , Chengjian Feng , Liang Zheng

In this short note we give incremental algorithms for the following lattice problems: finding a basis of a lattice, computing the successive minima, and determining the orthogonal decomposition. We prove an upper bound for the number of…

Number Theory · Mathematics 2007-05-23 Boris Hemkemeier , Frank Vallentin

A stochastic leap-frog algorithm for the numerical integration of Brownian motion stochastic differential equations with multiplicative noise is proposed and tested. The algorithm has a second-order convergence of moments in a finite time…

Computational Physics · Physics 2009-10-31 Ji Qiang , Salman Habib

Materialisation precomputes all consequences of a set of facts and a datalog program so that queries can be evaluated directly (i.e., independently from the program). Rewriting optimises materialisation for datalog programs with equality by…

Databases · Computer Science 2015-05-04 Boris Motik , Yavor Nenov , Robert Piro , Ian Horrocks

Autonomous drone racing presents a challenging control problem, requiring real-time decision-making and robust handling of nonlinear system dynamics. While iterative learning model predictive control (LMPC) offers a promising framework for…

Robotics · Computer Science 2025-09-23 Haocheng Zhao , Niklas Schlüter , Lukas Brunke , Angela P. Schoellig

We consider second order explicit and implicit two-step time-discrete schemes for wave-type equations. We derive optimal order aposteriori estimates controlling the time discretization error. Our analysis, has been motivated by the need to…

Numerical Analysis · Mathematics 2017-05-17 Emmanuil H. Georgoulis , Omar Lakkis , Charalambos Makridakis , Juha M. Virtanen

We provide a simplified form of Primal Augmented Lagrange Multiplier algorithm. We intend to fill the gap in the steps involved in the mathematical derivations of the algorithm so that an insight into the algorithm is made. The experiment…

Numerical Analysis · Computer Science 2014-01-02 B. Premjith , S. Sachin Kumar , Akhil Manikkoth , T V Bijeesh , K P Soman

Based on geometric considerations, longitudinal and transverse Lagrangian velocity increments are introduced as components along, and perpendicular to, the displacement of fluid particles during a time scale {\tau}. It is argued that these…

Chaotic Dynamics · Physics 2015-06-22 Emmanuel Leveque , Aurore Naso

In this paper, we tackle the incremental maintenance of Datalog inference materialisation when the rule set can be updated. This is particularly relevant in the context of the Internet of Things and Edge computing where smart devices may…

Databases · Computer Science 2023-12-25 Weiqin Xu , Olivier Curé

A basic leapfrog integrator and its energy-preserving and variational / symplectic variants are proposed and studied for the numerical integration of the equations of motion of relativistic charged particles in an electromagnetic field. The…

Numerical Analysis · Mathematics 2023-04-27 Ernst Hairer , Christian Lubich , Yanyan Shi
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