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Many relations of scientific interest are nonlinear, and even in linear systems distributions are often non-Gaussian, for example in fMRI BOLD data. A class of search procedures for causal relations in high dimensional data relies on sample…

Artificial Intelligence · Computer Science 2014-01-30 Joseph D. Ramsey

We propose a novel approach to model selection for simulator-based statistical models. The proposed approach defines a mixture of candidate models, and then iteratively updates the weight coefficients for those models as well as the…

Machine Learning · Statistics 2019-02-08 Takafumi Kajihara , Motonobu Kanagawa , Yuuki Nakaguchi , Kanishka Khandelwal , Kenji Fukumiziu

In this thesis, the uses of Artificial Immune Systems (AIS) in Machine learning is studded. the thesis focus on some of immune inspired algorithms such as clonal selection algorithm and artificial immune network. The effect of changing the…

Neural and Evolutionary Computing · Computer Science 2017-09-14 Mohammad Tarek Al Muallim

In this paper, we study the problem of identifying the impulse response of a linear time invariant (LTI) dynamical system from the knowledge of the input signal and a finite set of noisy output observations. We adopt an approach based on…

Systems and Control · Computer Science 2015-03-20 Francesco Dinuzzo

Learning the kernel functions used in kernel methods has been a vastly explored area in machine learning. It is now widely accepted that to obtain 'good' performance, learning a kernel function is the key challenge. In this work we focus on…

Machine Learning · Computer Science 2016-01-08 Chetan Tonde , Ahmed Elgammal

Hyperspectral image(HSI) classification has been improved with convolutional neural network(CNN) in very recent years. Being different from the RGB datasets, different HSI datasets are generally captured by various remote sensors and have…

Computer Vision and Pattern Recognition · Computer Science 2020-02-12 Haokui Zhang , Yu Liu , Bei Fang , Ying Li , Lingqiao Liu , Ian Reid

Increasing the angular resolution of an interferometric array requires placing its elements at large separations. This often leads to sparse coverage and introduces challenges to reconstructing images from interferometric data. We introduce…

Instrumentation and Methods for Astrophysics · Physics 2024-12-04 Dimitrios Psaltis , Feryal Ozel , Yassine Ben Zineb

Distributions over rankings are used to model data in a multitude of real world settings such as preference analysis and political elections. Modeling such distributions presents several computational challenges, however, due to the…

Machine Learning · Computer Science 2014-01-27 Jonathan Huang , Ashish Kapoor , Carlos Guestrin

Measuring conditional independence is one of the important tasks in statistical inference and is fundamental in causal discovery, feature selection, dimensionality reduction, Bayesian network learning, and others. In this work, we explore…

Statistics Theory · Mathematics 2020-08-18 Tianhong Sheng , Bharath K. Sriperumbudur

Many modern spatio-temporal data sets, in sociology, epidemiology or seismology, for example, exhibit self-exciting characteristics, triggering and clustering behaviors both at the same time, that a suitable Hawkes space-time process can…

Machine Learning · Statistics 2024-06-18 Emilia Siviero , Guillaume Staerman , Stephan Clémençon , Thomas Moreau

We develop a Hilbert--Schmidt independence criterion (HSIC)-based framework for testing serial independence in strictly stationary time series. The proposed auto Hilbert--Schmidt independence criterion (AutoHSIC) measures dependence between…

Methodology · Statistics 2026-05-22 Muyi Li , Yuqing Xu , Zhou Zhou

We advocate a numerically reliable and accurate approach for practical parameter identifiability analysis: Applying column subset selection (CSS) to the sensitivity matrix, instead of computing an eigenvalue decomposition of the Fischer…

Numerical Analysis · Mathematics 2022-05-10 Katherine J. Pearce , Ilse C. F. Ipsen , Mansoor A. Haider , Arvind K. Saibaba , Ralph C. Smith

We view sequential design as a model selection problem to determine which new observation is expected to be the most informative, given the existing set of observations. For estimating a probability distribution on a bounded interval, we…

Methodology · Statistics 2018-07-19 Madhurima Nath , Stephen Eubank

We propose a new decentralized robust kernel-based learning algorithm within the framework of reproducing kernel Hilbert spaces (RKHSs) by utilizing a networked system that can be represented as a connected graph. The robust loss function…

Machine Learning · Computer Science 2025-08-18 Zhan Yu , Zhongjie Shi , Ding-Xuan Zhou

In this paper we combine the theory of reproducing kernel Hilbert spaces with the field of collocation methods to solve boundary value problems with special emphasis on reproducing property of kernels. From the reproducing property of…

Numerical Analysis · Mathematics 2019-03-26 Babak Azarnavid , Mahdi Emamjome , Mohammad Nabati , Saeid Abbasbandy

In this paper we introduce a novel method for linear system identification with quantized output data. We model the impulse response as a zero-mean Gaussian process whose covariance (kernel) is given by the recently proposed stable spline…

Systems and Control · Computer Science 2017-06-21 Giulio Bottegal , Håkan Hjalmarsson , Gianluigi Pillonetto

We propose a new estimator for nonparametric binary choice models that does not impose a parametric structure on either the systematic function of covariates or the distribution of the error term. A key advantage of our approach is its…

Econometrics · Economics 2026-01-13 Guo Yan

This article proposes a novel density estimation based algorithm for carrying out supervised machine learning. The proposed algorithm features O(n) time complexity for generating a classifier, where n is the number of sampling instances in…

Machine Learning · Statistics 2007-11-06 Yen-Jen Oyang , Chien-Yu Chen , Darby Tien-Hao Chang , Chih-Peng Wu

Unsupervised classification algorithm based on clonal selection principle named Unsupervised Clonal Selection Classification (UCSC) is proposed in this paper. The new proposed algorithm is data driven and self-adaptive, it adjusts its…

Machine Learning · Computer Science 2012-01-26 M. T. Al-Muallim , R. El-Kouatly

Stochastic gradient descent algorithms for training linear and kernel predictors are gaining more and more importance, thanks to their scalability. While various methods have been proposed to speed up their convergence, the model selection…

Machine Learning · Computer Science 2014-06-17 Francesco Orabona