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We consider the problem of choosing between several models in least-squares regression with heteroscedastic data. We prove that any penalization procedure is suboptimal when the penalty is a function of the dimension of the model, at least…

Statistics Theory · Mathematics 2010-07-28 Sylvain Arlot

In criminal justice risk forecasting, one can prove that it is impossible to optimize accuracy and fairness at the same time. One can also prove that it is impossible optimize at once all of the usual group definitions of fairness. In the…

Applications · Statistics 2019-10-28 Richard A. Berk , Ayya A. Elzarka

We consider settings in which the right notion of fairness is not captured by simple mathematical definitions (such as equality of error rates across groups), but might be more complex and nuanced and thus require elicitation from…

Machine Learning · Computer Science 2020-10-15 Christopher Jung , Michael Kearns , Seth Neel , Aaron Roth , Logan Stapleton , Zhiwei Steven Wu

Data sets for fairness relevant tasks can lack examples or be biased according to a specific label in a sensitive attribute. We demonstrate the usefulness of weight based meta-learning approaches in such situations. For models that can be…

Machine Learning · Computer Science 2019-11-12 Dylan Slack , Sorelle Friedler , Emile Givental

We study a ridge estimator for the high-dimensional two-way fixed effect regression model with a sparse bipartite network. We develop concentration inequalities showing that when the ridge parameters increase as the log of the network size,…

Econometrics · Economics 2026-01-08 Junnan He , Jean-Marc Robin

Software cost estimation is one of the prerequisite managerial activities carried out at the software development initiation stages and also repeated throughout the whole software life-cycle so that amendments to the total cost are made. In…

Software Engineering · Computer Science 2023-12-21 Efi Papatheocharous , Harris Papadopoulos , Andreas S. Andreou

In this paper, we study norm-based regularization methods for neural networks. We compare existing penalization approaches and introduce two regularization strategies that extend classical ridge- and lasso-type penalties to neural network…

Machine Learning · Statistics 2026-05-04 Muhammad Qasim , Farrukh Javed

Combining machine learning with econometric analysis is becoming increasingly prevalent in both research and practice. A common empirical strategy involves the application of predictive modeling techniques to 'mine' variables of interest…

Econometrics · Economics 2020-12-22 Mochen Yang , Edward McFowland , Gordon Burtch , Gediminas Adomavicius

We provide a unified analysis of the predictive risk of ridge regression and regularized discriminant analysis in a dense random effects model. We work in a high-dimensional asymptotic regime where $p, n \to \infty$ and $p/n \to \gamma \in…

Statistics Theory · Mathematics 2015-11-05 Edgar Dobriban , Stefan Wager

We investigate the fairness concerns of training a machine learning model using data with missing values. Even though there are a number of fairness intervention methods in the literature, most of them require a complete training set as…

Machine Learning · Computer Science 2022-04-15 Haewon Jeong , Hao Wang , Flavio P. Calmon

Penalties that induce smoothness are common in nonparametric regression. In many settings, the amount of smoothness in the data generating function will not be known. Simon and Shojaie (2021) derived convergence rates for nonparametric…

Statistics Theory · Mathematics 2023-08-04 Marlena S. Bannick , Noah Simon

We consider the problem of whether a Neural Network (NN) model satisfies global individual fairness. Individual Fairness suggests that similar individuals with respect to a certain task are to be treated similarly by the decision model. In…

Machine Learning · Computer Science 2022-05-23 Haitham Khedr , Yasser Shoukry

We propose statistical inferential procedures for panel data models with interactive fixed effects in a kernel ridge regression framework.Compared with traditional sieve methods, our method is automatic in the sense that it does not require…

Statistics Theory · Mathematics 2017-03-10 Shunan Zhao , Ruiqi Liu , Zuofeng Shang

We present a new approach for mitigating unfairness in learned classifiers. In particular, we focus on binary classification tasks over individuals from two populations, where, as our criterion for fairness, we wish to achieve similar false…

Machine Learning · Computer Science 2018-03-09 Yahav Bechavod , Katrina Ligett

The prevalence of algorithmic bias in Machine Learning (ML)-driven approaches has inspired growing research on measuring and mitigating bias in the ML domain. Accordingly, prior research studied how to measure fairness in regression which…

Machine Learning · Computer Science 2025-08-21 Abdalwahab Almajed , Maryam Tabar , Peyman Najafirad

We develop a new approach for feature selection via gain penalization in tree-based models. First, we show that previous methods do not perform sufficient regularization and often exhibit sub-optimal out-of-sample performance, especially…

Machine Learning · Statistics 2020-06-16 Bruna Wundervald , Andrew Parnell , Katarina Domijan

As learning machines increase their influence on decisions concerning human lives, analyzing their fairness properties becomes a subject of central importance. Yet, our best tools for measuring the fairness of learning systems are rigid…

Machine Learning · Statistics 2022-07-21 David Lopez-Paz , Diane Bouchacourt , Levent Sagun , Nicolas Usunier

Estimating the dependences between random variables, and ranking them accordingly, is a prevalent problem in machine learning. Pursuing frequentist and information-theoretic approaches, we first show that the p-value and the mutual…

Machine Learning · Computer Science 2012-07-02 Harald Steck

It is of critical importance to be aware of the historical discrimination embedded in the data and to consider a fairness measure to reduce bias throughout the predictive modeling pipeline. Given various notions of fairness defined in the…

Machine Learning · Computer Science 2023-01-02 Hadis Anahideh , Nazanin Nezami , Abolfazl Asudeh

We study the fair regression problem under the notion of Mean Parity (MP) fairness, which requires the conditional mean of the learned function output to be constant with respect to the sensitive attributes. We address this problem by…

Machine Learning · Statistics 2023-02-22 Shaokui Wei , Jiayin Liu , Bing Li , Hongyuan Zha