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Data augmentation is an effective technique to improve the generalization of deep neural networks. However, previous data augmentation methods usually treat the augmented samples equally without considering their individual impacts on the…

Machine Learning · Computer Science 2021-03-17 Mingyang Yi , Lu Hou , Lifeng Shang , Xin Jiang , Qun Liu , Zhi-Ming Ma

In M-open problems where no true model can be conceptualized, it is common to back off from modeling and merely seek good prediction. Even in M-complete problems, taking a predictive approach can be very useful. Stacking is a model…

Statistics Theory · Mathematics 2016-02-17 Tri Le , Bertrand Clarke

Reliable uncertainty estimates are an important tool for helping autonomous agents or human decision makers understand and leverage predictive models. However, existing approaches to estimating uncertainty largely ignore the possibility of…

Machine Learning · Computer Science 2020-05-22 Sangdon Park , Osbert Bastani , James Weimer , Insup Lee

The weighted Euler characteristic transform (WECT) is a new tool for extracting shape information from data equipped with a weight function. Image data may benefit from the WECT where the intensity of the pixels are used to define the…

Computational Geometry · Computer Science 2023-07-27 Jessi Cisewski-Kehe , Brittany Terese Fasy , Dhanush Giriyan , Eli Quist

Improvement of statistical learning models in order to increase efficiency in solving classification or regression problems is still a goal pursued by the scientific community. In this way, the support vector machine model is one of the…

Machine Learning · Statistics 2019-11-22 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

Methodology · Statistics 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

We consider weighted tiling systems to represent functions from graphs to a commutative semiring such as the Natural semiring or the Tropical semiring. The system labels the nodes of a graph by its states, and checks if the neighbourhood of…

Formal Languages and Automata Theory · Computer Science 2020-10-01 C. Aiswarya , Paul Gastin

In the last years there has been a growing interest in proposing methods for estimating covariance functions for geostatistical data. Among these, maximum likelihood estimators have nice features when we deal with a Gaussian model. However…

Methodology · Statistics 2013-05-27 Moreno Bevilacqua , Carlo Gaetan

We describe an algorithm to quantify dependence in a multivariate data set. The algorithm is able to identify any linear and non-linear dependence in the data set by performing a hypothesis test for two variables being independent. As a…

Data Analysis, Statistics and Probability · Physics 2012-11-06 Michael Feindt , Michael Prim

Finite mixtures of regressions with fixed covariates are a commonly used model-based clustering methodology to deal with regression data. However, they assume assignment independence, i.e. the allocation of data points to the clusters is…

Methodology · Statistics 2021-04-27 Salvatore D. Tomarchio , Paul D. McNicholas , Antonio Punzo

Machine learning models used in medical applications often face challenges due to the covariate shift, which occurs when there are discrepancies between the distributions of training and target data. This can lead to decreased predictive…

Machine Learning · Computer Science 2024-12-24 Mingyang Cai , Thomas Klausch , Mark A. van de Wiel

Cellwise outliers are widespread in data and traditional robust methods may fail when applied to datasets under such contamination. We propose a variable selection procedure, that uses a pairwise robust estimator to obtain an initial…

Methodology · Statistics 2023-09-06 Peng Su , Garth Tarr , Samuel Muller

Sparse decision trees are one of the most common forms of interpretable models. While recent advances have produced algorithms that fully optimize sparse decision trees for prediction, that work does not address policy design, because the…

Machine Learning · Computer Science 2022-10-27 Ali Behrouz , Mathias Lecuyer , Cynthia Rudin , Margo Seltzer

Mechanistic network models specify the mechanisms by which networks grow and change, allowing researchers to investigate complex systems using both simulation and analytical techniques. Unfortunately, it is difficult to write likelihoods…

Methodology · Statistics 2023-07-19 Jonathan Larson , Jukka-Pekka Onnela

As the adoption of Artificial Intelligence (AI) models expands into critical real-world applications, ensuring the explainability of these models becomes paramount, particularly in sensitive fields such as medicine and finance. Linear…

Machine Learning · Computer Science 2024-10-10 Tuan L. Vo , Uyen Dang , Thu Nguyen

Functional data analysis in a mixed-effects model framework is done using operator calculus. In this approach the functional parameters are treated as serially correlated effects giving an alternative to the penalized likelihood approach,…

Statistics Theory · Mathematics 2013-01-22 Bo Markussen

Supervised (linear) embedding models like Wsabie and PSI have proven successful at ranking, recommendation and annotation tasks. However, despite being scalable to large datasets they do not take full advantage of the extra data due to…

Information Retrieval · Computer Science 2013-01-18 Jason Weston , Ron Weiss , Hector Yee

Random variables of the generalized Pareto distribution, can be transformed to that of the Pareto distribution. Explicit expressions exist for the maximum likelihood estimators of the parameters of the Pareto distribution. The performance…

Computational Finance · Quantitative Finance 2018-11-06 J. Martin van Zyl

The paper deals with generalized functional regression. The aim is to estimate the influence of covariates on observations, drawn from an exponential distribution. The link considered has a semiparametric expression: if we are interested in…

Statistics Theory · Mathematics 2013-09-20 Irène Gannaz

The correct use and interpretation of models depends on several steps, two of which being the calibration by parameter estimation and the analysis of uncertainty. In the biological literature, these steps are seldom discussed together, but…

Quantitative Methods · Quantitative Biology 2015-08-17 André Chalom , Paulo Inácio de Knegt López de Prado