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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 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…

Machine Learning · Statistics 2022-03-25 Jason W. Rocks , Pankaj Mehta

Experimental datasets are growing rapidly in size, scope, and detail, but the value of these datasets is limited by unwanted measurement noise. It is therefore tempting to apply analysis techniques that attempt to reduce noise and enhance…

Applications · Statistics 2022-07-12 Kendrick Kay

It is a common phenomenon that for high-dimensional and nonparametric statistical models, rate-optimal estimators balance squared bias and variance. Although this balancing is widely observed, little is known whether methods exist that…

Statistics Theory · Mathematics 2023-03-21 Alexis Derumigny , Johannes Schmidt-Hieber

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…

Machine Learning · Statistics 2019-11-13 Julius Lauw , Dominique Macias , Akshay Trikha , Julia Vendemiatti , George D. Montanez

The main goal of this thesis is to point out that the bias-variance tradeoff is not always true (e.g. in neural networks). We advocate for this lack of universality to be acknowledged in textbooks and taught in introductory courses that…

Machine Learning · Computer Science 2019-12-19 Brady Neal

We describe a simple method that utilises the standard idea of bias-variance trade-off to improve the expected accuracy of numerical model forecasts of future climate. The method can be thought of as an optimal multi-model combination…

Atmospheric and Oceanic Physics · Physics 2009-11-11 Stephen Jewson , Ed Hawkins

Meta-gradients provide a general approach for optimizing the meta-parameters of reinforcement learning (RL) algorithms. Estimation of meta-gradients is central to the performance of these meta-algorithms, and has been studied in the setting…

Machine Learning · Computer Science 2022-09-26 Risto Vuorio , Jacob Beck , Shimon Whiteson , Jakob Foerster , Gregory Farquhar

The bias/variance tradeoff is fundamental to learning: increasing a model's complexity can improve its fit on training data, but potentially worsens performance on future samples. Remarkably, however, the human brain effortlessly handles a…

Neurons and Cognition · Quantitative Biology 2012-10-18 David Balduzzi

Channel estimation is challenging in multi-antenna communication systems, because of the large number of parameters to estimate. It is possible to facilitate this task by using a physical model describing the multiple paths constituting the…

Signal Processing · Electrical Eng. & Systems 2018-04-27 Luc Le Magoarou , Stéphane Paquelet

We present an empirical study of debiasing methods for classifiers, showing that debiasers often fail in practice to generalize out-of-sample, and can in fact make fairness worse rather than better. A rigorous evaluation of the debiasing…

In computing, as in many aspects of life, changes incur cost. Many optimization problems are formulated as a one-time instance starting from scratch. However, a common case that arises is when we already have a set of prior assignments, and…

Data Structures and Algorithms · Computer Science 2013-02-11 Edith Cohen , Graham Cormode , Nick Duffield , Carsten Lund

Variational approaches based on neural networks are showing promise for estimating mutual information (MI) between high dimensional variables. However, they can be difficult to use in practice due to poorly understood bias/variance…

Machine Learning · Computer Science 2020-03-25 Jiaming Song , Stefano Ermon

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,…

Machine Learning · Computer Science 2020-12-09 Zitong Yang , Yaodong Yu , Chong You , Jacob Steinhardt , Yi Ma

A trade-off between accuracy and fairness is almost taken as a given in the existing literature on fairness in machine learning. Yet, it is not preordained that accuracy should decrease with increased fairness. Novel to this work, we…

Machine Learning · Statistics 2020-12-14 Sanghamitra Dutta , Dennis Wei , Hazar Yueksel , Pin-Yu Chen , Sijia Liu , Kush R. Varshney

A common assumption in machine learning is that samples are independently and identically distributed (i.i.d). However, the contributions of different samples are not identical in training. Some samples are difficult to learn and some…

Machine Learning · Computer Science 2021-11-23 Ou Wu , Weiyao Zhu , Yingjun Deng , Haixiang Zhang , Qinghu Hou

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…

Machine Learning · Statistics 2022-06-08 Mikhail Belkin , Daniel Hsu , Siyuan Ma , Soumik Mandal

At the heart of non-parametric spectral estimation, lies the dilemma known as the bias-variance trade-off: low biased estimators tend to have high variance and low variance estimators tend to have high bias. In 1982, Thomson introduced a…

Classical Analysis and ODEs · Mathematics 2016-05-06 Luís Daniel Abreu , José Luis Romero

A major challenge in sparsity pattern estimation is that small modes are difficult to detect in the presence of noise. This problem is alleviated if one can observe samples from multiple realizations of the nonzero values for the same…

Information Theory · Computer Science 2011-07-29 Galen Reeves , Michael Gastpar

Several problems in statistics involve the combination of high-variance unbiased estimators with low-variance estimators that are only unbiased under strong assumptions. A notable example is the estimation of causal effects while combining…

Methodology · Statistics 2023-05-25 Michael Oberst , Alexander D'Amour , Minmin Chen , Yuyan Wang , David Sontag , Steve Yadlowsky
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