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There are many approaches for training decision trees. This work introduces a novel gradient-based method for constructing decision trees that optimize arbitrary differentiable loss functions, overcoming the limitations of heuristic…

Machine Learning · Computer Science 2025-03-25 Andrei V. Konstantinov , Lev V. Utkin

The goal of regression and classification methods in supervised learning is to minimize the empirical risk, that is, the expectation of some loss function quantifying the prediction error under the empirical distribution. When facing scarce…

Optimization and Control · Mathematics 2019-07-15 Soroosh Shafieezadeh-Abadeh , Daniel Kuhn , Peyman Mohajerin Esfahani

With the development of new sensors and monitoring devices, more sources of data become available to be used as inputs for machine learning models. These can on the one hand help to improve the accuracy of a model. On the other hand,…

Machine Learning · Statistics 2023-11-07 Luis Pedro Silvestrin , Harry van Zanten , Mark Hoogendoorn , Ger Koole

The fairness in machine learning is getting increasing attention, as its applications in different fields continue to expand and diversify. To mitigate the discriminated model behaviors between different demographic groups, we introduce a…

Machine Learning · Computer Science 2021-11-09 Taeuk Jang , Pengyi Shi , Xiaoqian Wang

There is a fundamental limitation in the prediction performance that a machine learning model can achieve due to the inevitable uncertainty of the prediction target. In classification problems, this can be characterized by the Bayes error,…

Machine Learning · Computer Science 2023-03-14 Takashi Ishida , Ikko Yamane , Nontawat Charoenphakdee , Gang Niu , Masashi Sugiyama

Classical Domain Adaptation methods acquire transferability by regularizing the overall distributional discrepancies between features in the source domain (labeled) and features in the target domain (unlabeled). They often do not…

Machine Learning · Computer Science 2023-06-01 Shumin Ma , Zhiri Yuan , Qi Wu , Yiyan Huang , Xixu Hu , Cheuk Hang Leung , Dongdong Wang , Zhixiang Huang

Meta-learning automatically infers an inductive bias by observing data from a number of related tasks. The inductive bias is encoded by hyperparameters that determine aspects of the model class or training algorithm, such as initialization…

Machine Learning · Computer Science 2020-11-10 Sharu Theresa Jose , Osvaldo Simeone , Giuseppe Durisi

Transfer learning is essential when sufficient data comes from the source domain, with scarce labeled data from the target domain. We develop estimators that achieve minimax linear risk for linear regression problems under distribution…

Machine Learning · Computer Science 2021-06-24 Qi Lei , Wei Hu , Jason D. Lee

Transfer learning is an emerging and popular paradigm for utilizing existing knowledge from previous learning tasks to improve the performance of new ones. Despite its numerous empirical successes, theoretical analysis for transfer learning…

Machine Learning · Computer Science 2023-01-30 Haoyang Cao , Haotian Gu , Xin Guo , Mathieu Rosenbaum

Methods of transfer learning try to combine knowledge from several related tasks (or domains) to improve performance on a test task. Inspired by causal methodology, we relax the usual covariate shift assumption and assume that it holds true…

Machine Learning · Statistics 2018-09-25 Mateo Rojas-Carulla , Bernhard Schölkopf , Richard Turner , Jonas Peters

Meta learning uses information from base learners (e.g. classifiers or estimators) as well as information about the learning problem to improve upon the performance of a single base learner. For example, the Bayes error rate of a given…

Machine Learning · Computer Science 2016-03-11 Kevin R. Moon , Veronique Delouille , Alfred O. Hero

Generalizing causal knowledge across diverse environments is challenging, especially when estimates from large-scale datasets must be applied to smaller or systematically different contexts, where external validity is critical. Model-based…

Machine Learning · Statistics 2025-12-19 Seyda Betul Aydin , Holger Brandt

The field of image classification has shown an outstanding success thanks to the development of deep learning techniques. Despite the great performance obtained, most of the work has focused on natural images ignoring other domains like…

Computer Vision and Pattern Recognition · Computer Science 2019-02-07 Manuel Lagunas , Elena Garces

Recent development in the data-driven decision science has seen great advances in individualized decision making. Given data with individual covariates, treatment assignments and outcomes, policy makers best individualized treatment rule…

Machine Learning · Statistics 2020-06-29 Weibin Mo , Zhengling Qi , Yufeng Liu

Current approaches in approximate inference for Bayesian neural networks minimise the Kullback-Leibler divergence to approximate the true posterior over the weights. However, this approximation is without knowledge of the final application,…

Machine Learning · Statistics 2018-05-11 Adam D. Cobb , Stephen J. Roberts , Yarin Gal

We propose a new splitting criterion for a meta-learning approach to multiclass classifier design that adaptively merges the classes into a tree-structured hierarchy of increasingly difficult binary classification problems. The…

Machine Learning · Computer Science 2017-11-10 Gerrit J. J. van den Burg , Alfred O. Hero

Transfer learning refers to machine learning techniques that focus on acquiring knowledge from related tasks to improve generalization in the tasks of interest. In MRI, transfer learning is important for developing strategies that address…

Image and Video Processing · Electrical Eng. & Systems 2021-04-05 Juan Miguel Valverde , Vandad Imani , Ali Abdollahzadeh , Riccardo De Feo , Mithilesh Prakash , Robert Ciszek , Jussi Tohka

We study problem-dependent rates, i.e., generalization errors that scale near-optimally with the variance, the effective loss, or the gradient norms evaluated at the "best hypothesis." We introduce a principled framework dubbed "uniform…

Machine Learning · Statistics 2020-12-25 Yunbei Xu , Assaf Zeevi

We provide a regularization framework for subject transfer learning in which we seek to train an encoder and classifier to minimize classification loss, subject to a penalty measuring independence between the latent representation and the…

Machine Learning · Computer Science 2022-05-12 Niklas Smedemark-Margulies , Ye Wang , Toshiaki Koike-Akino , Deniz Erdogmus

Training machine learning and statistical models often involves optimizing a data-driven risk criterion. The risk is usually computed with respect to the empirical data distribution, but this may result in poor and unstable out-of-sample…

Machine Learning · Statistics 2024-11-11 Nicola Bariletto , Nhat Ho