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Our main focus is on the generalization bound, which serves as an upper limit for the generalization error. Our analysis delves into regression and classification tasks separately to ensure a thorough examination. We assume the target…

Machine Learning · Statistics 2024-07-30 Wen-Liang Hwang

Attention mechanism is a fundamental component of the transformer model and plays a significant role in its success. However, the theoretical understanding of how attention learns to select tokens is still an emerging area of research. In…

Machine Learning · Computer Science 2025-05-20 Keitaro Sakamoto , Issei Sato

There is growing evidence that converting targets to soft targets in supervised learning can provide considerable gains in performance. Much of this work has considered classification, converting hard zero-one values to soft labels---such…

Machine Learning · Statistics 2018-06-13 Ehsan Imani , Martha White

From benign overfitting in overparameterized models to rich power-law scalings in performance, simple ridge regression displays surprising behaviors sometimes thought to be limited to deep neural networks. This balance of phenomenological…

Machine Learning · Statistics 2026-05-08 Alexander Atanasov , Jacob A. Zavatone-Veth , Cengiz Pehlevan

Deep neural networks often exhibit poor performance on data that is unlikely under the train-time data distribution, for instance data affected by corruptions. Previous works demonstrate that test-time adaptation to data shift, for instance…

Empirical risk minimization (ERM) is the workhorse of machine learning, whether for classification and regression or for off-policy policy learning, but its model-agnostic guarantees can fail when we use adaptively collected data, such as…

Machine Learning · Statistics 2021-06-04 Aurélien Bibaut , Antoine Chambaz , Maria Dimakopoulou , Nathan Kallus , Mark van der Laan

This paper investigates tradeoffs among optimization errors, statistical rates of convergence and the effect of heavy-tailed errors for high-dimensional robust regression with nonconvex regularization. When the additive errors in linear…

Statistics Theory · Mathematics 2021-01-01 Xiaoou Pan , Qiang Sun , Wen-Xin Zhou

We study linear regression under covariate shift, where the marginal distribution over the input covariates differs in the source and the target domains, while the conditional distribution of the output given the input covariates is similar…

Machine Learning · Computer Science 2022-08-04 Jingfeng Wu , Difan Zou , Vladimir Braverman , Quanquan Gu , Sham M. Kakade

Positivity violations, which occur when some subgroups either always or never receive a treatment of interest, pose significant challenges for causal effect estimation with observational data. Recent balancing weight methods have proved to…

Methodology · Statistics 2025-12-17 Martha Barnard , Jared D. Huling , Julian Wolfson

Recalibrating probabilistic classifiers is vital for enhancing the reliability and accuracy of predictive models. Despite the development of numerous recalibration algorithms, there is still a lack of a comprehensive theory that integrates…

Machine Learning · Computer Science 2023-05-19 Zeyu Sun , Dogyoon Song , Alfred Hero

Existing work within transfer learning often follows a two-step process -- pre-training over a large-scale source domain and then finetuning over limited samples from the target domain. Yet, despite its popularity, this methodology has been…

Machine Learning · Computer Science 2025-01-03 Akul Goyal , Carl Edwards

To model time-varying nonlinear temporal dynamics in sequential data, a recurrent network capable of varying and adjusting the recurrence depth between input intervals is examined. The recurrence depth is extended by several intermediate…

Machine Learning · Computer Science 2017-08-15 Hyunsin Park , Chang D. Yoo

Importance sampling is a powerful tool for correcting the distributional mismatch in many statistical and machine learning problems, but in practice its performance is limited by the usage of simple proposals whose importance weights can be…

Methodology · Statistics 2024-01-02 Chaofan Huang , V. Roshan Joseph

While large-scale robot datasets have propelled recent progress in imitation learning, learning from smaller task specific datasets remains critical for deployment in new environments and unseen tasks. One such approach to few-shot…

Robotics · Computer Science 2025-09-03 Amber Xie , Rahul Chand , Dorsa Sadigh , Joey Hejna

Due to its strong interpretability, linear regression is widely used in social science, from which significance test provides the significance level of models or coefficients in the traditional statistical inference. However, linear…

Machine Learning · Computer Science 2020-06-08 Jiaye Teng , Yang Yuan

Classifier predictions often rely on the assumption that new observations come from the same distribution as training data. When the underlying distribution changes, so does the optimal classification rule, and performance may degrade. We…

Methodology · Statistics 2021-09-01 Ciaran Evans , Max G'Sell

Learning from weak, proxy, or relative supervision is common when ground-truth labels are unavailable, but robustness under distribution shift remains poorly understood because the supervision mechanism itself may change across…

Machine Learning · Computer Science 2026-05-20 Mehrdad Shoeibi , Elias Hossain , Ivan Garibay , Niloofar Yousefi

We provide uniform confidence bands for kernel ridge regression (KRR), a widely used nonparametric regression estimator for nonstandard data such as preferences, sequences, and graphs. Despite the prevalence of these data--e.g., student…

Statistics Theory · Mathematics 2025-08-19 Rahul Singh , Suhas Vijaykumar

Modern machine learning methods have recently demonstrated remarkable capability to generalize under task shift, where latent knowledge is transferred to a different, often more difficult, task under a similar data distribution. We…

Machine Learning · Statistics 2025-02-20 Tyler LaBonte , Kuo-Wei Lai , Vidya Muthukumar

Feature weighting algorithms try to solve a problem of great importance nowadays in machine learning: The search of a relevance measure for the features of a given domain. This relevance is primarily used for feature selection as feature…

Machine Learning · Computer Science 2015-09-17 Gabriel Prat Masramon , Lluís A. Belanche Muñoz
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