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A form of generalisation error known as Off Training Set (OTS) error was recently introduced in [Wolpert, 1996b], along with a theorem showing that small training set error does not guarantee small OTS error, unless assumptions are made…

Machine Learning · Computer Science 2019-12-13 Jonathan Baxter

Trained with a sufficiently large training and testing dataset, Deep Neural Networks (DNNs) are expected to generalize. However, inputs may deviate from the training dataset distribution in real deployments. This is a fundamental issue with…

Machine Learning · Computer Science 2021-10-07 Yan Xiao , Yun Lin , Ivan Beschastnikh , Changsheng Sun , David S. Rosenblum , Jin Song Dong

In this entry we review the generalization error for classification and single-stage decision problems. We distinguish three alternative definitions of the generalization error which have, at times, been conflated in the statistics…

Methodology · Statistics 2018-12-21 Eric B. Laber , Min Qian

Overparameterized deep networks that generalize well have been key to the dramatic success of deep learning in recent years. The reasons for their remarkable ability to generalize are not well understood yet. When class labels in the…

Machine Learning · Computer Science 2026-02-03 Simran Ketha , Venkatakrishnan Ramaswamy

In selective classification (SC), a classifier abstains from making predictions that are likely to be wrong to avoid excessive errors. To deploy imperfect classifiers -- either due to intrinsic statistical noise of data or for robustness…

Machine Learning · Computer Science 2024-11-28 Hengyue Liang , Le Peng , Ju Sun

Generative adversarial training can be generally understood as minimizing certain moment matching loss defined by a set of discriminator functions, typically neural networks. The discriminator set should be large enough to be able to…

Machine Learning · Computer Science 2018-02-27 Pengchuan Zhang , Qiang Liu , Dengyong Zhou , Tao Xu , Xiaodong He

Out-of-distribution (O.O.D.) generalization remains to be a key challenge for real-world machine learning systems. We describe a method for O.O.D. generalization that, through training, encourages models to only preserve features in the…

Machine Learning · Computer Science 2022-08-09 Arjun Ashok , Chaitanya Devaguptapu , Vineeth Balasubramanian

Machine learning (ML) systems in natural language processing (NLP) face significant challenges in generalizing to out-of-distribution (OOD) data, where the test distribution differs from the training data distribution. This poses important…

Computation and Language · Computer Science 2023-05-24 Linyi Yang , Yaoxiao Song , Xuan Ren , Chenyang Lyu , Yidong Wang , Lingqiao Liu , Jindong Wang , Jennifer Foster , Yue Zhang

Regression is typically treated as a curve-fitting process where the goal is to fit a prediction function to data. With the help of conditional generative adversarial networks, we propose to solve this age-old problem in a different way; we…

Machine Learning · Computer Science 2024-04-23 Deddy Jobson , Eddy Hudson

Transfer learning is a useful technique for achieving improved performance and reducing training costs by leveraging the knowledge gained from source tasks and applying it to target tasks. Assessing the effectiveness of transfer learning…

Machine Learning · Computer Science 2023-06-12 Peizhong Ju , Sen Lin , Mark S. Squillante , Yingbin Liang , Ness B. Shroff

Generalization remains a central yet unresolved challenge in deep learning, particularly the ability to predict a model's performance beyond its training distribution using quantities available prior to test-time evaluation. Building on the…

We investigate the learning dynamics of classifiers in scenarios where classes are separable or classifiers are over-parameterized. In both cases, Empirical Risk Minimization (ERM) results in zero training error. However, there are many…

Machine Learning · Computer Science 2024-10-23 Julius Martinetz , Christoph Linse , Thomas Martinetz

Dropout, a simple and effective way to train deep neural networks, has led to a number of impressive empirical successes and spawned many recent theoretical investigations. However, the gap between dropout's training and inference phases,…

Machine Learning · Computer Science 2017-02-17 Xuezhe Ma , Yingkai Gao , Zhiting Hu , Yaoliang Yu , Yuntian Deng , Eduard Hovy

Typical neural network trainings have substantial variance in test-set performance between repeated runs, impeding hyperparameter comparison and training reproducibility. In this work we present the following results towards understanding…

Machine Learning · Computer Science 2024-06-11 Keller Jordan

Deep neural networks with millions of parameters may suffer from poor generalization due to overfitting. To mitigate the issue, we propose a new regularization method that penalizes the predictive distribution between similar samples. In…

Machine Learning · Computer Science 2020-04-08 Sukmin Yun , Jongjin Park , Kimin Lee , Jinwoo Shin

Transfer Learning (TL) aims to transfer knowledge acquired in one problem, the source problem, onto another problem, the target problem, dispensing with the bottom-up construction of the target model. Due to its relevance, TL has gained…

Machine Learning · Computer Science 2017-12-07 Ricardo Gamelas Sousa , Luís A. Alexandre , Jorge M. Santos , Luís M. Silva , Joaquim Marques de Sá

This paper provides elementary analyses of the regret and generalization of minimum-norm interpolating classifiers (MNIC). The MNIC is the function of smallest Reproducing Kernel Hilbert Space norm that perfectly interpolates a label…

Machine Learning · Statistics 2021-07-30 Tengyuan Liang , Benjamin Recht

Machine learning systems often do not share the same inductive biases as humans and, as a result, extrapolate or generalize in ways that are inconsistent with our expectations. The trade-off between exemplar- and rule-based generalization…

Machine Learning · Computer Science 2022-06-20 Ishita Dasgupta , Erin Grant , Thomas L. Griffiths

A neural network deployed in the wild may be asked to make predictions for inputs that were drawn from a different distribution than that of the training data. A plethora of work has demonstrated that it is easy to find or synthesize inputs…

Machine Learning · Statistics 2019-02-26 Eric Nalisnick , Akihiro Matsukawa , Yee Whye Teh , Dilan Gorur , Balaji Lakshminarayanan

Compositional generalization is the ability to generalize systematically to a new data distribution by combining known components. Although humans seem to have a great ability to generalize compositionally, state-of-the-art neural models…

Machine Learning · Computer Science 2021-06-22 Juyong Kim , Pradeep Ravikumar , Joshua Ainslie , Santiago Ontañón
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