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The aim of the paper is to examine the computational complexity and algorithmics of enumeration, the task to output all solutions of a given problem, from the point of view of parameterized complexity. First we define formally different…

Computational Complexity · Computer Science 2013-06-11 Nadia Creignou , Arne Meier , Julian-Steffen Müller , Johannes Schmidt , Heribert Vollmer

Discovering the governing equations of a dynamical system from observed trajectories provides deeper insight into its structure than mere prediction of future states. We present a data-driven approach to model discovery based on…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Martin Brückmann , Babette Dellen , Uwe Jaekel

In this study, we propose a machine-learning-based approach to identify the modal parameters of the output-only data for structural health monitoring (SHM) that makes full use of the characteristic of independence of modal responses and the…

Machine Learning · Computer Science 2020-06-25 Dawei Liu , Zhiyi Tang , Yuequan Bao , Hui Li

Recent developments in linear system identification have proposed the use of non-parameteric methods, relying on regularization strategies, to handle the so-called bias/variance trade-off. This paper introduces an impulse response estimator…

Systems and Control · Computer Science 2014-10-01 Giulia Prando , Alessandro Chiuso , Gianluigi Pillonetto

This paper introduces a framework for systematic complexity scaling of deep neural network(DNN) based MIMO detectors. The model uses a fraction of the DNN inputs by scaling their values through weights that follow monotonically…

Signal Processing · Electrical Eng. & Systems 2020-07-03 Abdullahi Mohammad , Christos Masouros , Yiannis Andreopoulos

The notion of a (polynomial) kernelization from parameterized complexity is a well-studied model for efficient preprocessing for hard computational problems. By now, it is quite well understood which parameterized problems do or…

Data Structures and Algorithms · Computer Science 2025-04-28 Leonid Antipov , Stefan Kratsch

Identification of nonlinear systems is a challenging problem. Physical knowledge of the system can be used in the identification process to significantly improve the predictive performance by restricting the space of possible mappings from…

Computation · Statistics 2022-10-27 Anna Wigren , Johan Wågberg , Fredrik Lindsten , Adrian Wills , Thomas B. Schön

Graph kernels are kernel methods measuring graph similarity and serve as a standard tool for graph classification. However, the use of kernel methods for node classification, which is a related problem to graph representation learning, is…

Machine Learning · Computer Science 2019-10-08 Yu Tian , Long Zhao , Xi Peng , Dimitris N. Metaxas

Deep learning is envisioned to play a key role in the design of future wireless receivers. A popular approach to design learning-aided receivers combines deep neural networks (DNNs) with traditional model-based receiver algorithms,…

Information Theory · Computer Science 2024-10-22 Tomer Raviv , Sangwoo Park , Osvaldo Simeone , Nir Shlezinger

The dynamics of systems biological processes are usually modeled by a system of ordinary differential equations (ODEs) with many unknown parameters that need to be inferred from noisy and sparse measurements. Here, we introduce…

Quantitative Methods · Quantitative Biology 2022-02-04 Mitchell Daneker , Zhen Zhang , George Em Karniadakis , Lu Lu

We here propose a machine learning approach for monitoring particle detectors in real-time. The goal is to assess the compatibility of incoming experimental data with a reference dataset, characterising the data behaviour under normal…

High Energy Physics - Experiment · Physics 2023-03-10 Gaia Grosso , Nicolò Lai , Marco Letizia , Jacopo Pazzini , Marco Rando , Lorenzo Rosasco , Andrea Wulzer , Marco Zanetti

The solution of high-dimensional inference and prediction problems in computational biology is almost always a compromise between mathematical theory and practical constraints such as limited computational resources. As time progresses,…

Quantitative Methods · Quantitative Biology 2009-01-13 Anagha Joshi , Riet De Smet , Kathleen Marchal , Yves Van de Peer , Tom Michoel

In most adaptive signal processing applications, system linearity is assumed and adaptive linear filters are thus used. The traditional class of supervised adaptive filters rely on error-correction learning for their adaptive capability.…

Machine Learning · Computer Science 2015-08-31 Songlin Zhao

We present an efficient, principled, and interpretable technique for inferring module assignments and for identifying the optimal number of modules in a given network. We show how several existing methods for finding modules can be…

Data Analysis, Statistics and Probability · Physics 2008-06-23 Jake M. Hofman , Chris H. Wiggins

We propose a Bayesian neural network-based continual learning algorithm using Variational Inference, aiming to overcome several drawbacks of existing methods. Specifically, in continual learning scenarios, storing network parameters at each…

Machine Learning · Computer Science 2024-11-22 Sanchar Palit , Biplab Banerjee , Subhasis Chaudhuri

Identifying a coupled dynamical system out of many plausible candidates, each of which could serve as the underlying generator of some observed measurements, is a profoundly ill posed problem that commonly arises when modelling real world…

Neurons and Cognition · Quantitative Biology 2019-09-17 Amirhossein Jafarian , Peter Zeidman , Vladimir Litvak , Karl Friston

Identifying parameters in a system of nonlinear, ordinary differential equations is vital for designing a robust controller. However, if the system is stochastic in its nature or if only noisy measurements are available, standard…

Systems and Control · Electrical Eng. & Systems 2022-10-10 Tobias Nagel , Marco F. Huber

Kernelization investigates exact preprocessing algorithms with performance guarantees. The most prevalent type of parameters used in kernelization is the solution size for optimization problems; however, also structural parameters have been…

Data Structures and Algorithms · Computer Science 2015-07-21 Eduard Eiben , Robert Ganian , Stefan Szeider

This paper presents an algorithm, Voted Kernel Regularization , that provides the flexibility of using potentially very complex kernel functions such as predictors based on much higher-degree polynomial kernels, while benefitting from…

Machine Learning · Computer Science 2015-09-16 Corinna Cortes , Prasoon Goyal , Vitaly Kuznetsov , Mehryar Mohri

Reduced modeling in high-dimensional reproducing kernel Hilbert spaces offers the opportunity to approximate efficiently non-linear dynamics. In this work, we devise an algorithm based on low rank constraint optimization and kernel-based…

Machine Learning · Computer Science 2020-02-23 Patrick Heas , Cedric Herzet , Benoit Combes