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A partial least squares regression is proposed for estimating the function-on-function regression model where a functional response and multiple functional predictors consist of random curves with quadratic and interaction effects. The…

Methodology · Statistics 2020-12-11 Ufuk Beyaztas , Han Lin Shang

Many common loss functions such as mean-squared-error, cross-entropy, and reconstruction loss are unnecessarily rigid. Under a probabilistic interpretation, these common losses correspond to distributions with fixed shapes and scales. We…

Machine Learning · Computer Science 2020-10-05 Mark Hamilton , Evan Shelhamer , William T. Freeman

Virtually all machine learning tasks are characterized using some form of loss function, and "good performance" is typically stated in terms of a sufficiently small average loss, taken over the random draw of test data. While optimizing for…

Machine Learning · Statistics 2023-12-01 Matthew J. Holland , Kazuki Tanabe

Recent advances in deep learning have pushed the performances of visual saliency models way further than it has ever been. Numerous models in the literature present new ways to design neural networks, to arrange gaze pattern data, or to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-05 Alexandre Bruckert , Hamed R. Tavakoli , Zhi Liu , Marc Christie , Olivier Le Meur

Bias-variance decompositions are widely used to understand the generalization performance of machine learning models. While the squared error loss permits a straightforward decomposition, other loss functions - such as zero-one loss or…

Machine Learning · Computer Science 2026-01-27 Tom Heskes

Several methods of statistical analysis are proposed and analyzed in application for a specific task -- extraction of the structure functions from the cross sections of deep inelastic interactions of any type. We formulate the method based…

High Energy Physics - Phenomenology · Physics 2007-11-30 S. N. Sevbitov , T. V. Shishkina , I. L. Solovtsov

Influence functions efficiently estimate the effect of removing a single training data point on a model's learned parameters. While influence estimates align well with leave-one-out retraining for linear models, recent works have shown this…

Machine Learning · Computer Science 2022-09-13 Juhan Bae , Nathan Ng , Alston Lo , Marzyeh Ghassemi , Roger Grosse

A successful deep learning network is highly dependent not only on the training dataset, but the training algorithm used to condition the network for a given task. The loss function, dataset, and tuning of hyperparameters all play an…

Machine Learning · Computer Science 2025-10-07 Ashley Lenau , Dennis Dimiduk , Stephen R. Niezgoda

This paper is concerned with model averaging estimation for partially linear functional score models. These models predict a scalar response using both parametric effect of scalar predictors and non-parametric effect of a functional…

Methodology · Statistics 2021-05-04 Shishi Liu , Hao Zhang , Jingxiao Zhang

For basic machine learning problems, expected error is used to evaluate model performance. Since the distribution of data is usually unknown, we can make simple hypothesis that the data are sampled independently and identically distributed…

Machine Learning · Computer Science 2022-12-01 Xuli Shen , Qing Xu , Xiangyang Xue

This work proposes the Bregman-Tweedie classification model and analyzes the domain structure of the extended exponential function, an extension of the classic generalized exponential function with additional scaling parameter, and related…

Machine Learning · Computer Science 2019-07-17 Hyenkyun Woo

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

Statistics Theory · Mathematics 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

We present an extensive analysis of relative deviation bounds, including detailed proofs of two-sided inequalities and their implications. We also give detailed proofs of two-sided generalization bounds that hold in the general case of…

Machine Learning · Computer Science 2016-04-06 Corinna Cortes , Spencer Greenberg , Mehryar Mohri

It is common to see a handful of reviewers reject a highly novel paper, because they view, say, extensive experiments as far more important than novelty, whereas the community as a whole would have embraced the paper. More generally, the…

Artificial Intelligence · Computer Science 2020-03-03 Ritesh Noothigattu , Nihar B. Shah , Ariel D. Procaccia

We consider regression models with parametric (linear or nonlinear) regression function and allow responses to be ``missing at random.'' We assume that the errors have mean zero and are independent of the covariates. In order to estimate…

Statistics Theory · Mathematics 2009-08-24 Ursula U. Müller

Frequentist statistical methods, such as hypothesis testing, are standard practice in papers that provide benchmark comparisons. Unfortunately, these methods have often been misused, e.g., without testing for their statistical test…

Methodology · Statistics 2021-05-18 David Issa Mattos , Jan Bosch , Helena Holmström Olsson

Although deep neural networks have been widely employed and proven effective in sentiment analysis tasks, it remains challenging for model developers to assess their models for erroneous predictions that might exist prior to deployment.…

Computation and Language · Computer Science 2021-06-03 Zhe Liu , Yufan Guo , Jalal Mahmud

To investigate the structure of individual differences in performance on behavioral tasks, Haaf and Rouder (2017) developed a class of hierarchical Bayesian mixed models with varying levels of constraint on the individual effects. The…

Applications · Statistics 2022-10-24 Thomas J. Faulkenberry

Recently, deep learning-based algorithms are widely adopted due to the advantage of being able to establish anomaly detection models without or with minimal domain knowledge of the task. Instead, to train the artificial neural network more…

Machine Learning · Computer Science 2023-04-17 YeongHyeon Park

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable…

Machine Learning · Statistics 2014-02-21 Keisuke Yamazaki