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Neural networks can be trained to solve regression problems by using gradient-based methods to minimize the square loss. However, practitioners often prefer to reformulate regression as a classification problem, observing that training on…

Machine Learning · Computer Science 2023-03-02 Lawrence Stewart , Francis Bach , Quentin Berthet , Jean-Philippe Vert

Existing approaches of prescriptive analytics -- where inputs of an optimization model can be predicted by leveraging covariates in a machine learning model -- often attempt to optimize the mean value of an uncertain objective. However,…

Machine Learning · Computer Science 2025-03-05 Dimitris Bertsimas , Benjamin Boucher

We investigate the finite sample performance of sample splitting, cross-fitting and averaging for the estimation of the conditional average treatment effect. Recently proposed methods, so-called meta-learners, make use of machine learning…

Methodology · Statistics 2020-08-27 Daniel Jacob

Meta-learning algorithms aim to learn two components: a model that predicts targets for a task, and a base learner that quickly updates that model when given examples from a new task. This additional level of learning can be powerful, but…

Machine Learning · Computer Science 2020-11-05 Janarthanan Rajendran , Alex Irpan , Eric Jang

The problem of detecting whether a test sample is from in-distribution (i.e., training distribution by a classifier) or out-of-distribution sufficiently different from it arises in many real-world machine learning applications. However, the…

Machine Learning · Statistics 2018-02-27 Kimin Lee , Honglak Lee , Kibok Lee , Jinwoo Shin

Traditional statistics forbids use of test data (a.k.a. holdout data) during training. Dwork et al. 2015 pointed out that current practices in machine learning, whereby researchers build upon each other's models, copying hyperparameters and…

Machine Learning · Computer Science 2021-03-01 Sanjeev Arora , Yi Zhang

Overparametrized interpolating models have drawn increasing attention from machine learning. Some recent studies suggest that regularized interpolating models can generalize well. This phenomenon seemingly contradicts the conventional…

Statistics Theory · Mathematics 2022-07-04 Bo Luan , Yoonkyung Lee , Yunzhang Zhu

Due to the curse of dimensionality, estimation in a multidimensional nonparametric regression model is in general not feasible. Hence, additional restrictions are introduced, and the additive model takes a prominent place. The restrictions…

Statistics Theory · Mathematics 2007-06-13 M. Studer , B. Seifert , T. Gasser

This paper seeks to answer the following question: \textit{"What can we learn by predicting accuracy?"}. Indeed, classification is one of the most popular tasks in machine learning, and many loss functions have been developed to maximize…

Machine Learning · Computer Science 2022-08-24 Olivier Risser-Maroix , Benjamin Chamand

Machine unlearning, an emerging research topic focusing on compliance with data privacy regulations, enables trained models to remove the information learned from specific data. While many existing methods indirectly address this issue by…

Machine Learning · Computer Science 2024-12-24 Seonguk Seo , Dongwan Kim , Bohyung Han

Identifying the causes of a model's unfairness is an important yet relatively unexplored task. We look into this problem through the lens of training data - the major source of unfairness. We ask the following questions: How would the…

Machine Learning · Computer Science 2024-02-20 Yuanshun Yao , Yang Liu

A significant challenge in maintaining real-world machine learning models is responding to the continuous and unpredictable evolution of data. Most practitioners are faced with the difficult question: when should I retrain or update my…

Machine Learning · Computer Science 2025-05-22 Regol Florence , Schwinn Leo , Sprague Kyle , Coates Mark , Markovich Thomas

Meta-learning, or learning-to-learn, seeks to design algorithms that can utilize previous experience to rapidly learn new skills or adapt to new environments. Representation learning -- a key tool for performing meta-learning -- learns a…

Machine Learning · Computer Science 2022-01-04 Nilesh Tripuraneni , Chi Jin , Michael I. Jordan

Deep, overparameterized regression models are notorious for their tendency to overfit. This problem is exacerbated in heteroskedastic models, which predict both mean and residual noise for each data point. At one extreme, these models fit…

Machine Learning · Statistics 2024-02-15 Eliot Wong-Toi , Alex Boyd , Vincent Fortuin , Stephan Mandt

We study linear regression under covariate shift, where the marginal distribution over the input covariates differs in the source and the target domains, while the conditional distribution of the output given the input covariates is similar…

Machine Learning · Computer Science 2022-08-04 Jingfeng Wu , Difan Zou , Vladimir Braverman , Quanquan Gu , Sham M. Kakade

Explainability of neural network prediction is essential to understand feature importance and gain interpretable insight into neural network performance. However, explanations of neural network outcomes are mostly limited to visualization,…

Machine Learning · Computer Science 2023-07-13 Arnab Neelim Mazumder , Niall Lyons , Ashutosh Pandey , Avik Santra , Tinoosh Mohsenin

A regression model with more parameters than data points in the training data is overparametrized and has the capability to interpolate the training data. Based on the classical bias-variance tradeoff expressions, it is commonly assumed…

Machine Learning · Computer Science 2023-04-18 Tomas McKelvey

We propose a new optimization framework for aleatoric uncertainty estimation in regression problems. Existing methods can quantify the error in the target estimation, but they tend to underestimate it. To obtain the predictive uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Takumi Kawashima , Qing Yu , Akari Asai , Daiki Ikami , Kiyoharu Aizawa

This paper investigates the impact of posterior drift on out-of-sample forecasting accuracy in overparametrized machine learning models. We document the loss in performance when the loadings of the data generating process change between the…

Statistical Finance · Quantitative Finance 2026-05-13 Guillaume Coqueret , Martial Laguerre

We define and study the problem of predicting the solution to a linear program (LP) given only partial information about its objective and constraints. This generalizes the problem of learning to predict the purchasing behavior of a…

Data Structures and Algorithms · Computer Science 2016-10-27 Shahin Jabbari , Ryan Rogers , Aaron Roth , Zhiwei Steven Wu