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We consider the Ensemble Kalman Inversion which has been recently introduced as an efficient, gradient-free optimisation method to estimate unknown parameters in an inverse setting. In the case of large data sets, the Ensemble Kalman…

Numerical Analysis · Mathematics 2023-12-05 Matei Hanu , Jonas Latz , Claudia Schillings

Many applications of computational fluid dynamics require multiple simulations of a flow under different input conditions. In this paper, a numerical algorithm is developed to efficiently determine a set of such simulations in which the…

Numerical Analysis · Mathematics 2017-05-29 Max Gunzburger , Nan Jiang , Zhu Wang

Computer vision and machine learning tools offer an exciting new way for automatically analyzing and categorizing information from complex computer simulations. Here we design an ensemble machine learning framework that can independently…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Maarja Bussov , Joonas Nättilä

Covariance selection seeks to estimate a covariance matrix by maximum likelihood while restricting the number of nonzero inverse covariance matrix coefficients. A single penalty parameter usually controls the tradeoff between log likelihood…

Optimization and Control · Mathematics 2010-10-12 Vijay Krishnamurthy , Alexandre d'Aspremont

Classical methods for model order selection often fail in scenarios with low SNR or few snapshots. Deep learning-based methods are promising alternatives for such challenging situations as they compensate lack of information in the…

Signal Processing · Electrical Eng. & Systems 2023-12-07 Michael Baur , Franz Weißer , Benedikt Böck , Wolfgang Utschick

Structured variational autoencoders (SVAEs) combine probabilistic graphical model priors on latent variables, deep neural networks to link latent variables to observed data, and structure-exploiting algorithms for approximate posterior…

Machine Learning · Statistics 2023-05-29 Yixiu Zhao , Scott W. Linderman

Variable selection is a problem of statistics that aims to find the subset of the $N$-dimensional possible explanatory variables that are truly related to the generation process of the response variable. In high-dimensional setups, where…

Statistics Theory · Mathematics 2025-02-27 Takashi Takahashi

Ensemble methods in machine learning aim to improve prediction accuracy by combining multiple models. This is achieved by ensuring diversity among predictors to capture different data aspects. Homogeneous ensembles use identical models,…

Quantum Physics · Physics 2025-11-04 Emiliano Tolotti , Enrico Blanzieri , Davide Pastorello

Decision procedures aggregating the preferences of multiple agents can produce cycles and hence outcomes which have been described heuristically as `chaotic'. We make this description precise by constructing an explicit dynamical system…

Statistical Mechanics · Physics 2009-10-31 David A. Meyer , Thad A. Brown

We consider stochastic volatility models using piecewise constant parameters. We suggest a hybrid optimization algorithm for fitting the models to a volatility surface and provide some numerical results. Finally, we provide an outlook on…

Pricing of Securities · Quantitative Finance 2010-10-07 Wolfgang Putschoegl

This survey reviews portfolio choice in settings where investment opportunities are stochastic due to, e.g., stochastic volatility or return predictability. It is explained how to heuristically compute candidate optimal portfolios using…

Portfolio Management · Quantitative Finance 2013-11-08 Ren Liu , Johannes Muhle-Karbe

Heterogeneous ensembles built from the predictions of a wide variety and large number of diverse base predictors represent a potent approach to building predictive models for problems where the ideal base/individual predictor may not be…

Machine Learning · Computer Science 2021-03-01 Ana Stanescu , Gaurav Pandey

In this paper, we study randomized methods for feedback design of uncertain systems. The first contribution is to derive the sample complexity of various constrained control problems. In particular, we show the key role played by the…

Systems and Control · Computer Science 2014-07-22 T. Alamo , R. Tempo , A. Luque , D. R. Ramirez

Ensemble of predictions is known to perform better than individual predictions taken separately. However, for tasks that require heavy computational resources, e.g. semantic segmentation, creating an ensemble of learners that needs to be…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Walid Bousselham , Guillaume Thibault , Lucas Pagano , Archana Machireddy , Joe Gray , Young Hwan Chang , Xubo Song

Stability Selection was recently introduced by Meinshausen and Buhlmann (2010) as a very general technique designed to improve the performance of a variable selection algorithm. It is based on aggregating the results of applying a selection…

Statistics Theory · Mathematics 2016-04-27 Rajen D. Shah , Richard J. Samworth

Ensemble learning has been a focal point of machine learning research due to its potential to improve predictive performance. This study revisits the foundational work on ensemble error decomposition, historically confined to…

Machine Learning · Computer Science 2024-02-13 João Mendes-Moreira , Tiago Mendes-Neves

Stochastic gradient methods are scalable for solving large-scale optimization problems that involve empirical expectations of loss functions. Existing results mainly apply to optimization problems where the objectives are one- or two-level…

Optimization and Control · Mathematics 2018-01-15 Shuoguang Yang , Mengdi Wang , Ethan X. Fang

An approach to evolutionary ensemble learning for classification is proposed in which boosting is used to construct a stack of programs. Each application of boosting identifies a single champion and a residual dataset, i.e. the training…

Neural and Evolutionary Computing · Computer Science 2023-11-27 Zhilei Zhou , Ziyu Qiu , Brad Niblett , Andrew Johnston , Jeffrey Schwartzentruber , Nur Zincir-Heywood , Malcolm Heywood

Probabilistic programming is related to a compositional approach to stochastic modeling by switching from discrete to continuous time dynamics. In continuous time, an operator-algebra semantics is available in which processes proceeding in…

Artificial Intelligence · Computer Science 2012-12-05 Eric Mjolsness

An ensemble technique is characterized by the mechanism that generates the components and by the mechanism that combines them. A common way to achieve the consensus is to enable each component to equally participate in the aggregation…

Machine Learning · Computer Science 2018-04-18 Hamed Sarvari , Carlotta Domeniconi , Giovanni Stilo
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