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Learning linear predictors with the logistic loss---both in stochastic and online settings---is a fundamental task in machine learning and statistics, with direct connections to classification and boosting. Existing "fast rates" for this…

Machine Learning · Computer Science 2018-12-17 Dylan J. Foster , Satyen Kale , Haipeng Luo , Mehryar Mohri , Karthik Sridharan

Stochastic gradient descent (SGD) is a premium optimization method for training neural networks, especially for learning objectively defined labels such as image objects and events. When a neural network is instead faced with subjectively…

Neural and Evolutionary Computing · Computer Science 2022-04-15 Kosmas Pinitas , Konstantinos Makantasis , Antonios Liapis , Georgios N. Yannakakis

Abrupt learning is a common phenomenon in recurrent neural networks (RNNs) trained on working memory tasks. In such cases, the networks develop transient slow regions in state space that extend the effective timescales of computation.…

Machine Learning · Computer Science 2026-04-16 Fatih Dinc , Ege Cirakman , Bariscan Kurtkaya , Mert Yuksekgonul , Yiqi Jiang , Mark J. Schnitzer , Hidenori Tanaka

We study the connection between gradient-based meta-learning and convex op-timisation. We observe that gradient descent with momentum is a special case of meta-gradients, and building on recent results in optimisation, we prove convergence…

Machine Learning · Computer Science 2023-01-10 Sebastian Flennerhag , Tom Zahavy , Brendan O'Donoghue , Hado van Hasselt , András György , Satinder Singh

In continual learning, knowledge must be preserved and re-used between tasks, maintaining good transfer to future tasks and minimizing forgetting of previously learned ones. While several practical algorithms have been devised for this…

Machine Learning · Computer Science 2025-08-19 Lior Friedman , Ron Meir

Policy gradient methods are a widely used class of model-free reinforcement learning algorithms where a state-dependent baseline is used to reduce gradient estimator variance. Several recent papers extend the baseline to depend on both the…

Machine Learning · Computer Science 2018-11-20 George Tucker , Surya Bhupatiraju , Shixiang Gu , Richard E. Turner , Zoubin Ghahramani , Sergey Levine

Learning-based methods for inverse problems, adapting to the data's inherent structure, have become ubiquitous in the last decade. Besides empirical investigations of their often remarkable performance, an increasing number of works…

Numerical Analysis · Mathematics 2023-07-21 Clemens Arndt , Sören Dittmer , Nick Heilenkötter , Meira Iske , Tobias Kluth , Judith Nickel

The performance of gradient-based optimization methods, such as standard gradient descent (GD), greatly depends on the choice of learning rate. However, it can require a non-trivial amount of user tuning effort to select an appropriate…

Machine Learning · Computer Science 2025-10-14 Nikola Surjanovic , Alexandre Bouchard-Côté , Trevor Campbell

Pretrained knowledge memorized in LLMs raises critical concerns over safety and privacy, which has motivated LLM Unlearning as a technique for selectively removing the influences of undesirable knowledge. Existing approaches, rooted in…

Computation and Language · Computer Science 2026-02-04 Zhengbang Yang , Yisheng Zhong , Junyuan Hong , Zhuangdi Zhu

When multiple investigators analyze a common dataset, the data reuse induces dependence across testing procedures, affecting the distribution of errors. Existing techniques of managing dependent tests require either cross-study coordination…

Statistics Theory · Mathematics 2026-04-10 Reid Dale , Jordan Rodu , Maria E. Currie , Mike Baiocchi

Recent studies revealed complex convergence dynamics in gradient-based methods, which has been little understood so far. Changing the step size to balance between high convergence rate and small generalization error may not be sufficient:…

Machine Learning · Computer Science 2021-04-07 Ilona Kulikovskikh

Identifying the training datasets that influence a language model's outputs is essential for minimizing the generation of harmful content and enhancing its performance. Ideally, we can measure the influence of each dataset by removing it…

Computation and Language · Computer Science 2024-06-14 Masaru Isonuma , Ivan Titov

LLM unlearning has emerged as a promising approach, aiming to enable models to forget hazardous/undesired knowledge at low cost while preserving as much model utility as possible. Among existing techniques, the most straightforward method…

Machine Learning · Computer Science 2025-10-28 Zirui Pang , Hao Zheng , Zhijie Deng , Ling Li , Zixin Zhong , Jiaheng Wei

This paper studies the consequences of capturing non-linear dependence among the covariates that drive the default of different obligors and the overall riskiness of their credit portfolio. Joint default modeling is, without loss of…

Risk Management · Quantitative Finance 2023-09-06 Margherita Doria , Elisa Luciano , Patrizia Semeraro

In observational studies, researchers must select a method to control for confounding. Options include propensity score methods and regression. It remains unclear how dataset characteristics (size, overlap in propensity scores, exposure…

Methodology · Statistics 2022-10-21 J. Wilkinson , M. A. Mamas , E. Kontopantelis

The phenomenon of model-wise double descent, where the test error peaks and then reduces as the model size increases, is an interesting topic that has attracted the attention of researchers due to the striking observed gap between theory…

Machine Learning · Computer Science 2023-12-08 Chris Yuhao Liu , Jeffrey Flanigan

This paper introduces an iterative algorithm for training nonparametric additive models that enjoys favorable memory storage and computational requirements. The algorithm can be viewed as the functional counterpart of stochastic gradient…

Machine Learning · Statistics 2026-01-01 Xin Chen , Jason M. Klusowski

We prove local convergence of several notable gradient descent algorithms used in machine learning, for which standard stochastic gradient descent theory does not apply directly. This includes, first, online algorithms for recurrent models…

Dynamical Systems · Mathematics 2021-01-11 Pierre-Yves Massé , Yann Ollivier

Efficient computation of min-max problems is a central question in optimization, learning, games, and controls. Arguably the most natural algorithm is gradient-descent-ascent (GDA). However, since the 1970s, conventional wisdom has argued…

Optimization and Control · Mathematics 2025-05-05 Henry Shugart , Jason M. Altschuler

User behavior on online platforms is evolving, reflecting real-world changes in how people post, whether it's helpful messages or hate speech. Models that learn to capture this content can experience a decrease in performance over time due…

Machine Learning · Computer Science 2025-11-04 Yasas Senarath , Hemant Purohit