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We study the learning properties of nonparametric ridge-less least squares. In particular, we consider the common case of estimators defined by scale dependent kernels, and focus on the role of the scale. These estimators interpolate the…

机器学习 · 统计学 2021-11-11 Nicolò Pagliana , Alessandro Rudi , Ernesto De Vito , Lorenzo Rosasco

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…

计量经济学 · 经济学 2020-12-22 Mochen Yang , Edward McFowland , Gordon Burtch , Gediminas Adomavicius

A compositional tree refers to a tree structure on a set of random variables where each random variable is a node and composition occurs at each non-leaf node of the tree. As a generalization of compositional data, compositional trees…

统计方法学 · 统计学 2021-04-20 Bingkai Wang , Brian S. Caffo , Xi Luo , Chin-Fu Liu , Andreia V. Faria , Michael I. Miller , Yi Zhao

Tree ensembles such as random forests (RFs) and gradient boosting machines (GBMs) are among the most widely used supervised learners, yet their theoretical properties remain incompletely understood. We adopt a spectral perspective on these…

机器学习 · 统计学 2026-05-13 Binh Duc Vu , David S. Watson

When selecting a model from a set of equally performant models, how much unfairness can you really reduce? Is it important to be intentional about fairness when choosing among this set, or is arbitrarily choosing among the set of ''good''…

计算机与社会 · 计算机科学 2025-01-28 Gordon Dai , Pavan Ravishankar , Rachel Yuan , Daniel B. Neill , Emily Black

With the advantages of high modeling accuracy and large bandwidth, recurrent neural network (RNN) based inversion model control has been proposed for output tracking. However, some issues still need to be addressed when using the RNN-based…

系统与控制 · 电气工程与系统科学 2020-01-03 Shengwen Xie , Juan Ren

Random forests are a type of ensemble method which makes predictions by combining the results of several independent trees. However, the theory of random forests has long been outpaced by their application. In this paper, we propose a novel…

机器学习 · 计算机科学 2015-07-23 Jianyuan Sun , Guoqiang Zhong , Junyu Dong , Yajuan Cai

Random Forest (RF) is a powerful supervised learner and has been popularly used in many applications such as bioinformatics. In this work we propose the guided random forest (GRF) for feature selection. Similar to a feature selection method…

机器学习 · 计算机科学 2013-11-19 Houtao Deng

In performative learning, the data distribution reacts to the deployed model - for example, because strategic users adapt their features to game it - which creates a more complex dynamic than in classical supervised learning. One should…

机器学习 · 计算机科学 2025-10-15 Edwige Cyffers , Alireza Mirrokni , Marco Mondelli

We show that the error of iteratively magnitude-pruned networks empirically follows a scaling law with interpretable coefficients that depend on the architecture and task. We functionally approximate the error of the pruned networks,…

机器学习 · 计算机科学 2021-07-06 Jonathan S. Rosenfeld , Jonathan Frankle , Michael Carbin , Nir Shavit

Deep reinforcement learning (RL) agents trained in a limited set of environments tend to suffer overfitting and fail to generalize to unseen testing environments. To improve their generalizability, data augmentation approaches (e.g. cutout…

机器学习 · 计算机科学 2020-10-22 Kaixin Wang , Bingyi Kang , Jie Shao , Jiashi Feng

Recent advances in deep learning have significantly elevated weather prediction models. However, these models often falter in real-world scenarios due to their sensitivity to spatial-temporal shifts. This issue is particularly acute in…

机器学习 · 计算机科学 2023-12-04 Lu Han , Xu-Yang Chen , Han-Jia Ye , De-Chuan Zhan

Interpretability is critical for machine learning models in high-stakes settings because it allows users to verify the model's reasoning. In computer vision, prototypical part models (ProtoPNets) have become the dominant model type to meet…

计算机视觉与模式识别 · 计算机科学 2025-03-04 Jon Donnelly , Zhicheng Guo , Alina Jade Barnett , Hayden McTavish , Chaofan Chen , Cynthia Rudin

In this paper we analyze, evaluate, and improve the performance of training Random Forest (RF) models on modern CPU architectures. An exact, state-of-the-art binary decision tree building algorithm is used as the basis of this study.…

The interpretability of random forest (RF) models is a research topic of growing interest in the machine learning (ML) community. In the state of the art, RF is considered a powerful learning ensemble given its predictive performance,…

机器学习 · 计算机科学 2024-07-18 Maissae Haddouchi , Abdelaziz Berrado

Regression models for supervised learning problems with a continuous target are commonly understood as models for the conditional mean of the target given predictors. This notion is simple and therefore appealing for interpretation and…

统计方法学 · 统计学 2018-01-09 Torsten Hothorn , Achim Zeileis

Deep neural networks excel at learning the training data, but often provide incorrect and confident predictions when evaluated on slightly different test examples. This includes distribution shifts, outliers, and adversarial examples. To…

The last decade has shed some light on theoretical properties such as their consistency for regression tasks. In the current paper, we propose a new class of very simple learners based on so-called naive trees. These naive trees partition…

统计理论 · 数学 2024-12-18 Nico Föge , Markus Pauly , Lena Schmid , Marc Ditzhaus

This article develops a general theory for minimum norm interpolating estimators and regularized empirical risk minimizers (RERM) in linear models in the presence of additive, potentially adversarial, errors. In particular, no conditions on…

统计理论 · 数学 2021-10-08 Geoffrey Chinot , Matthias Löffler , Sara van de Geer

Benign overfitting, the phenomenon where interpolating models generalize well in the presence of noisy data, was first observed in neural network models trained with gradient descent. To better understand this empirical observation, we…

机器学习 · 计算机科学 2025-07-04 Spencer Frei , Niladri S. Chatterji , Peter L. Bartlett