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We discuss structure-preserving time discretization for nonlinear port-Hamiltonian systems with state-dependent mass matrix. Such systems occur, for instance, in the context of structure-preserving nonlinear model order reduction for…

Numerical Analysis · Mathematics 2023-11-02 Philipp Schulze

Nonlinear time fractional partial differential equations are widely used in modeling and simulations. In many applications, there are high contrast changes in media properties. For solving these problems, one often uses coarse spatial grid…

Numerical Analysis · Mathematics 2022-07-13 Wenyuan Li , Anatoly Alikhanov , Yalchin Efendiev , Wing Tat Leung

This work aims to construct an efficient and highly accurate numerical method to address the time singularity at $t=0$ involved in a class of time-fractional parabolic integro-partial differential equations in one and two dimensions. The…

Numerical Analysis · Mathematics 2024-09-27 Sudarshan Santra , Ratikanta Behera

The time precision achievable using standard analog methods is well known. Several expressions for timing methods using digitized signals have been recently proposed in workshops, conferences or training courses. Most of them are only…

Instrumentation and Detectors · Physics 2016-06-20 Eric Delagnes

In real world, the huge amount of temporal data is to be processed in many application areas such as scientific, financial, network monitoring, sensor data analysis. Data mining techniques are primarily oriented to handle discrete features.…

Databases · Computer Science 2014-02-19 P. Chaudhari , D. P. Rana , R. G. Mehta , N. J. Mistry , M. M. Raghuwanshi

We describe an efficient implementation of a recent simplex-type algorithm for the exact solution of separated continuous linear programs, and compare it with linear programming approximation of these problems obtained via discretization of…

Optimization and Control · Mathematics 2021-10-07 Evgeny Shindin , Michael Masin , Gideon Weiss , Alexander Zadorojniy

We propose an extrapolation technique that allows accuracy improvement of the discrete dipole approximation computations. The performance of this technique was studied empirically based on extensive simulations for 5 test cases using many…

Optics · Physics 2008-07-29 Maxim A. Yurkin , Valeri P. Maltsev , Alfons G. Hoekstra

We consider filtered subspace iteration for approximating a cluster of eigenvalues (and its associated eigenspace) of a (possibly unbounded) selfadjoint operator in a Hilbert space. The algorithm is motivated by a quadrature approximation…

Numerical Analysis · Mathematics 2019-02-05 Jay Gopalakrishnan , Luka Grubišić , Jeffrey Ovall

We present an algorithm for marginalising changepoints in time-series models that assume a fixed number of unknown changepoints. Our algorithm is differentiable with respect to its inputs, which are the values of latent random variables…

Machine Learning · Computer Science 2019-11-25 Hyoungjin Lim , Gwonsoo Che , Wonyeol Lee , Hongseok Yang

We consider the robust version of items selection problem, in which the goal is to choose representatives from a family of sets, preserving constraints on the allowed items' combinations. We prove NP-hardness of the deterministic version,…

Discrete Mathematics · Computer Science 2019-07-23 Maciej Drwal

A new result on stability of an optimal nonlinear filter with respect to small perturbations on every step is established.

Probability · Mathematics 2016-11-01 Marina Kleptsyna , Alexander Veretennikov

A recently new intelligent optimization algorithm called discrete state transition algorithm is considered in this study, for solving unconstrained integer optimization problems. Firstly, some key elements for discrete state transition…

Optimization and Control · Mathematics 2016-04-05 Xiaojun Zhou

The total generalized variation extends the total variation by incorporating higher-order smoothness. Thus, it can also suffer from similar discretization issues related to isotropy. Inspired by the success of novel discretization schemes…

Numerical Analysis · Mathematics 2023-03-17 Lea Bogensperger , Antonin Chambolle , Alexander Effland , Thomas Pock

Dynamic feedback linearization-based methods allow us to design control algorithms for a fairly large class of nonlinear systems in continuous time. However, this feature does not extend to their sampled counterparts, i.e., for a given…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Ashutosh Jindal , Florentina Nicolau , David Martin Diego , Ravi Banavar

This paper deals with the problem of finite-time learning for unknown discrete-time nonlinear systems' dynamics, without the requirement of the persistence of excitation. Two finite-time concurrent learning methods are presented to…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Farzaneh Tatari , Christos Panayiotou , Marios Polycarpou

The performance of autonomous systems heavily relies on their ability to generate a robust representation of the environment. Deep neural networks have greatly improved vision-based perception systems but still fail in challenging…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Jörg Wagner , Volker Fischer , Michael Herman , Sven Behnke

The kinematics of many nonlinear control systems, especially in the robotics field, admit a transitive Lie-group symmetry, which is useful in high performance observer design. The recently proposed equivariant filter (EqF) exploits…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Yixiao Ge , Pieter van Goor , Robert Mahony

This paper evaluates algorithms for classification and outlier detection accuracies in temporal data. We focus on algorithms that train and classify rapidly and can be used for systems that need to incorporate new data regularly. Hence, we…

Machine Learning · Statistics 2018-05-03 Victoria J. Hodge , Jim Austin

In this article, we complement recent results on the convergence of the state estimate obtained by applying the discrete-time Kalman filter on a time-sampled continuous-time system. As the temporal discretization is refined, the estimate…

Optimization and Control · Mathematics 2015-12-09 Atte Aalto

In this work, we give a new technique for analyzing individualized privacy accounting via the following simple observation: if an algorithm is one-sided add-DP, then its subsampled variant satisfies two-sided DP. From this, we obtain…

Data Structures and Algorithms · Computer Science 2024-05-30 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Adam Sealfon
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