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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

In analyses with severe data-limitations, augmenting the target dataset with information from ancillary datasets in the application domain, called source datasets, can lead to significantly improved statistical procedures. However, existing…

Machine Learning · Statistics 2025-08-01 Nathan Wycoff , Ali Arab , Lisa O. Singh

As machine learning models are increasingly deployed in dynamic environments, it becomes paramount to assess and quantify uncertainties associated with distribution shifts. A distribution shift occurs when the underlying data-generating…

Methodology · Statistics 2024-10-08 Jiawei Ge , Debarghya Mukherjee , Jianqing Fan

In many real applications of statistical learning, collecting sufficiently many training data is often expensive, time-consuming, or even unrealistic. In this case, a transfer learning approach, which aims to leverage knowledge from a…

Machine Learning · Statistics 2025-02-26 Baozhen Wang , Xingye Qiao

Accurate forecasting of recovery rates (RR) is central to credit risk management and regulatory capital determination. In many loan portfolios, however, RR modeling is constrained by data scarcity arising from infrequent default events.…

Risk Management · Quantitative Finance 2026-04-24 Christopher Gerling , Hanqiu Peng , Ying Chen , Stefan Lessmann

Real-world machine learning deployments are characterized by mismatches between the source (training) and target (test) distributions that may cause performance drops. In this work, we investigate methods for predicting the target domain…

Machine Learning · Computer Science 2022-10-18 Saurabh Garg , Sivaraman Balakrishnan , Zachary C. Lipton , Behnam Neyshabur , Hanie Sedghi

This paper addresses challenges in robust transfer learning stemming from ambiguity in Bayes classifiers and weak transferable signals between the target and source distribution. We introduce a novel quantity called the ''ambiguity level''…

Machine Learning · Statistics 2025-05-06 Jianqing Fan , Cheng Gao , Jason M. Klusowski

Transfer learning is a powerful paradigm for leveraging knowledge from source domains to enhance learning in a target domain. However, traditional transfer learning approaches often focus on scalar or multivariate data within Euclidean…

Machine Learning · Computer Science 2025-10-24 Kaicheng Zhang , Sinian Zhang , Doudou Zhou , Yidong Zhou

This paper describes a new parameter-free online learning algorithm for changing environments. In comparing against algorithms with the same time complexity as ours, we obtain a strongly adaptive regret bound that is a factor of at least…

Machine Learning · Statistics 2017-08-08 Kwang-Sung Jun , Francesco Orabona , Rebecca Willett , Stephen Wright

Bayesian learning has been recently considered as an effective means of accounting for uncertainty in trained deep network parameters. This is of crucial importance when dealing with small or sparse training datasets. On the other hand,…

Machine Learning · Computer Science 2018-02-13 Harris Partaourides , Sotirios Chatzis

Transductive conformal prediction addresses the simultaneous prediction for multiple data points. Given a desired confidence level, the objective is to construct a prediction set that includes the true outcomes with the prescribed…

Machine Learning · Computer Science 2025-09-08 Arash Behboodi , Alvaro H. C. Correia , Fabio Valerio Massoli , Christos Louizos

Split conformal prediction provides finite-sample marginal coverage under exchangeability, but this guarantee averages over the random calibration sample. We study instead the law of the calibration-conditional coverage induced by a…

Machine Learning · Statistics 2026-05-20 Thiago R. Ramos , Helton Graziadei , Luben M. C. Cabezas

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

Empirical risk minimization often performs poorly when the distribution of the target domain differs from those of source domains. To address such potential distribution shifts, we develop an unsupervised domain adaptation approach that…

Machine Learning · Statistics 2025-03-25 Zhenyu Wang , Peter Bühlmann , Zijian Guo

Modern black-box predictive models are often accompanied by weak performance guarantees that only hold asymptotically in the size of the dataset or require strong parametric assumptions. In response to this, split conformal prediction…

Machine Learning · Statistics 2022-10-27 Roel Hulsman

This paper introduces and analyzes a procedure called Testing-based forward model selection (TBFMS) in linear regression problems. This procedure inductively selects covariates that add predictive power into a working statistical model…

Statistics Theory · Mathematics 2020-04-07 Damian Kozbur

Given two boundary distributions, the Schr\"odinger Bridge (SB) problem seeks the ``most likely`` random evolution between them with respect to a reference process. It has revealed rich connections to recent machine learning methods for…

Machine Learning · Computer Science 2025-06-03 Maosheng Yang

Probabilistic forecasting is essential for modern risk management, allowing decision-makers to quantify uncertainty in critical systems. This paper tackles this challenge using the volatile REFIT household dataset, which is complicated by a…

Machine Learning · Computer Science 2025-12-02 Midhun Manoj

While the traditional viewpoint in machine learning and statistics assumes training and testing samples come from the same population, practice belies this fiction. One strategy -- coming from robust statistics and optimization -- is thus…

Machine Learning · Statistics 2024-07-08 Maxime Cauchois , Suyash Gupta , Alnur Ali , John C. Duchi

In machine learning, it is commonly assumed that training and test data share the same population distribution. However, this assumption is often violated in practice because the sample selection bias may induce the distribution shift from…

Machine Learning · Computer Science 2020-06-09 Kun Kuang , Hengtao Zhang , Fei Wu , Yueting Zhuang , Aijun Zhang