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By searching for shared inductive biases across tasks, meta-learning promises to accelerate learning on novel tasks, but with the cost of solving a complex bilevel optimization problem. We introduce and rigorously define the trade-off…

机器学习 · 计算机科学 2021-04-15 Katelyn Gao , Ozan Sener

The bias-variance trade-off is a central concept in supervised learning. In classical statistics, increasing the complexity of a model (e.g., number of parameters) reduces bias but also increases variance. Until recently, it was commonly…

机器学习 · 统计学 2022-03-25 Jason W. Rocks , Pankaj Mehta

The bias-variance tradeoff tells us that as model complexity increases, bias falls and variances increases, leading to a U-shaped test error curve. However, recent empirical results with over-parameterized neural networks are marked by a…

The bias-variance trade-off is a well-known problem in machine learning that only gets more pronounced the less available data there is. In active learning, where labeled data is scarce or difficult to obtain, neglecting this trade-off can…

Learning algorithms need bias to generalize and perform better than random guessing. We examine the flexibility (expressivity) of biased algorithms. An expressive algorithm can adapt to changing training data, altering its outcome based on…

机器学习 · 统计学 2019-11-13 Julius Lauw , Dominique Macias , Akshay Trikha , Julia Vendemiatti , George D. Montanez

Improving the fairness of machine learning models is a nuanced task that requires decision makers to reason about multiple, conflicting criteria. The majority of fair machine learning methods transform the error-fairness trade-off into a…

神经与进化计算 · 计算机科学 2023-04-25 William G. La Cava

Breakthroughs in machine learning are rapidly changing science and society, yet our fundamental understanding of this technology has lagged far behind. Indeed, one of the central tenets of the field, the bias-variance trade-off, appears to…

机器学习 · 统计学 2022-06-08 Mikhail Belkin , Daniel Hsu , Siyuan Ma , Soumik Mandal

In multi-objective learning (MOL), several possibly competing prediction tasks must be solved jointly by a single model. Achieving good trade-offs may require a model class $\mathcal{G}$ with larger capacity than what is necessary for…

机器学习 · 统计学 2025-08-26 Tobias Wegel , Geelon So , Junhyung Park , Fanny Yang

Machine Unlearning (MU) aims at removing the influence of specific data points from a trained model, striving to achieve this at a fraction of the cost of full model retraining. In this paper, we analyze the efficiency of unlearning methods…

机器学习 · 统计学 2025-06-24 Martin Van Waerebeke , Marco Lorenzi , Giovanni Neglia , Kevin Scaman

Classical wisdom in machine learning holds that the generalization error can be decomposed into bias and variance, and these two terms exhibit a \emph{trade-off}. However, in this paper, we show that for an ensemble of deep learning based…

机器学习 · 计算机科学 2023-10-16 Lin Chen , Michal Lukasik , Wittawat Jitkrittum , Chong You , Sanjiv Kumar

The classical bias-variance trade-off predicts that bias decreases and variance increase with model complexity, leading to a U-shaped risk curve. Recent work calls this into question for neural networks and other over-parameterized models,…

机器学习 · 计算机科学 2020-12-09 Zitong Yang , Yaodong Yu , Chong You , Jacob Steinhardt , Yi Ma

Empirical process theory for i.i.d. observations has emerged as a ubiquitous tool for understanding the generalization properties of various statistical problems. However, in many applications where the data exhibit temporal dependencies…

统计理论 · 数学 2024-01-18 Nabarun Deb , Debarghya Mukherjee

Deep Neural Networks are well known for efficiently fitting training data, yet experiencing poor generalization capabilities whenever some kind of bias dominates over the actual task labels, resulting in models learning "shortcuts". In…

机器学习 · 计算机科学 2024-08-12 Pietro Morerio , Ruggero Ragonesi , Vittorio Murino

In classical statistics, the bias-variance trade-off describes how varying a model's complexity (e.g., number of fit parameters) affects its ability to make accurate predictions. According to this trade-off, optimal performance is achieved…

机器学习 · 统计学 2022-08-05 Jason W. Rocks , Pankaj Mehta

Faced with massive data, is it possible to trade off (statistical) risk, and (computational) space and time? This challenge lies at the heart of large-scale machine learning. Using k-means clustering as a prototypical unsupervised learning…

机器学习 · 统计学 2016-05-04 Mario Lucic , Mesrob I. Ohannessian , Amin Karbasi , Andreas Krause

Model selection is a problem that has occupied machine learning researchers for a long time. Recently, its importance has become evident through applications in deep learning. We propose an agreement-based learning framework that prevents…

机器学习 · 计算机科学 2018-06-05 Emmanouil Antonios Platanios

Despite the rapid progress of neural networks, they remain highly vulnerable to adversarial examples, for which adversarial training (AT) is currently the most effective defense. While AT has been extensively studied, its practical…

机器学习 · 计算机科学 2025-10-16 Yisen Wang , Yichuan Mo , Hongjun Wang , Junyi Li , Zhouchen Lin

Adversarial training is among the most effective techniques to improve the robustness of models against adversarial perturbations. However, the full effect of this approach on models is not well understood. For example, while adversarial…

机器学习 · 计算机科学 2021-01-19 Mohammad Mehrabi , Adel Javanmard , Ryan A. Rossi , Anup Rao , Tung Mai

Despite breakthrough performance, modern learning models are known to be highly vulnerable to small adversarial perturbations in their inputs. While a wide variety of recent \emph{adversarial training} methods have been effective at…

机器学习 · 计算机科学 2020-02-26 Adel Javanmard , Mahdi Soltanolkotabi , Hamed Hassani

Fairness in machine learning has received considerable attention. However, most studies on fair learning focus on either supervised learning or unsupervised learning. Very few consider semi-supervised settings. Yet, in reality, most machine…

机器学习 · 计算机科学 2020-09-15 Tao Zhang , Tianqing Zhu , Mengde Han , Jing Li , Wanlei Zhou , Philip S. Yu
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