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Most machine learning techniques are based upon statistical learning theory, often simplified for the sake of computing speed. This paper is focused on the uncertainty aspect of mathematical modeling in machine learning. Regression analysis…

Machine Learning · Computer Science 2022-06-07 Valentin Arkov

Time Series Forecasting has been an active area of research due to its many applications ranging from network usage prediction, resource allocation, anomaly detection, and predictive maintenance. Numerous publications published in the last…

Machine Learning · Computer Science 2022-11-08 Aryan Jadon , Avinash Patil , Shruti Jadon

Behavior of deep neural networks can be inconsistent between different versions. Regressions during model update are a common cause of concern that often over-weigh the benefits in accuracy or efficiency gain. This work focuses on…

Computation and Language · Computer Science 2021-05-10 Yuqing Xie , Yi-an Lai , Yuanjun Xiong , Yi Zhang , Stefano Soatto

This paper investigates the impact of the loss function in value-based methods for reinforcement learning through an analysis of underlying prediction objectives. We theoretically show that mean absolute error is a better prediction…

Machine Learning · Computer Science 2025-11-11 Alex Ayoub , David Szepesvári , Alireza Bakhtiari , Csaba Szepesvári , Dale Schuurmans

The interpretation of coefficients from multivariate linear regression relies on the assumption that the conditional expectation function is linear in the variables. However, in many cases the underlying data generating process is…

Econometrics · Economics 2025-12-16 Nadav Kunievsky

Large language models (LLMs) are increasingly deployed as automated evaluators that assign numeric scores to model outputs, a paradigm known as LLM-as-a-Judge. However, standard Reinforcement Learning (RL) methods typically rely on binary…

Machine Learning · Computer Science 2026-03-19 Yasi Zhang , Tianyu Chen , Mingyuan Zhou , Oscar Leong , Ying Nian Wu , Michal Lukasik

Combining matching and regression for causal inference provides double-robustness in removing treatment effect estimation bias due to confounding variables. In most real-world applications, however, treatment and control populations are not…

Methodology · Statistics 2015-07-14 Alireza S. Mahani , Mansour T. A. Sharabiani

Measurement error is an important problem that has not been very well studied in the context of Functional Data Analysis. To the best of our knowledge, there are no existing methods that address the presence of functional measurement errors…

Statistics Theory · Mathematics 2018-09-19 Sneha Jadhav , Shuangge Ma

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

Principal loading analysis is a dimension reduction method that discards variables which have only a small distorting effect on the covariance matrix. As a special case, principal loading analysis discards variables that are not correlated…

Statistics Theory · Mathematics 2022-03-22 J. O. Bauer , B. Drabant

When the regressors of a econometric linear model are nonorthogonal, it is well known that their estimation by ordinary least squares can present various problems that discourage the use of this model. The ridge regression is the most…

In this paper, I will introduce a new form of regression, that can adjust overfitting and underfitting through, "distance-based regression." Overfitting often results in finding false patterns causing inaccurate results, so by having a new…

Machine Learning · Computer Science 2024-10-25 Dylan Wilson

Reconstruction error is a prevalent score used to identify anomalous samples when data are modeled by generative models, such as (variational) auto-encoders or generative adversarial networks. This score relies on the assumption that normal…

Machine Learning · Statistics 2019-05-29 Václav Šmídl , Jan Bím , Tomáš Pevný

Regression is one of the most fundamental statistical inference problems. A broad definition of regression problems is as estimation of the distribution of an outcome using a family of probability models indexed by covariates. Despite the…

Statistics Theory · Mathematics 2023-09-26 Peter Mueller , Fernando Andrés Quintana , Garritt L. Page

Estimating causal effects from observational data informs us about which factors are important in an autonomous system, and enables us to take better decisions. This is important because it has applications in selecting a treatment in…

Machine Learning · Computer Science 2021-10-29 Plabon Shaha , Talha Islam Zadid , Ismat Rahman , Md. Mosaddek Khan

In hybrid human-AI systems, users need to decide whether or not to trust an algorithmic prediction while the true error in the prediction is unknown. To accommodate such settings, we introduce RETRO-VIZ, a method for (i) estimating and (ii)…

Artificial Intelligence · Computer Science 2021-07-29 Kim de Bie , Ana Lucic , Hinda Haned

Regression adjustment is broadly applied in randomized trials under the premise that it usually improves the precision of a treatment effect estimator. However, previous work has shown that this is not always true. To further understand…

Methodology · Statistics 2022-10-11 Katarzyna Reluga , Ting Ye , Qingyuan Zhao

The emerging field of learning-augmented online algorithms uses ML techniques to predict future input parameters and thereby improve the performance of online algorithms. Since these parameters are, in general, real-valued functions, a…

Machine Learning · Computer Science 2022-05-26 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

Statistical inference, a central tool of science, revolves around the study and the usage of statistical estimators: functions that map finite samples to predictions about unknown distribution parameters. In the frequentist framework,…

Machine Learning · Computer Science 2025-12-15 Maxime Peyrard , Kyunghyun Cho

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

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