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We study theoretical guarantees for solving linear systems in-context using a linear transformer architecture. For in-domain generalization, we provide neural scaling laws that bound the generalization error in terms of the number of tasks…

Machine Learning · Computer Science 2025-05-27 Frank Cole , Yulong Lu , Wuzhe Xu , Tianhao Zhang

Understanding generalization in reinforcement learning (RL) is a significant challenge, as many common assumptions of traditional supervised learning theory do not apply. We focus on the special class of reparameterizable RL problems, where…

Machine Learning · Computer Science 2019-05-31 Huan Wang , Stephan Zheng , Caiming Xiong , Richard Socher

We construct and propose the "Bayesian Validation Metric" (BVM) as a general model validation and testing tool. We find the BVM to be capable of representing all of the standard validation metrics (square error, reliability, probability of…

Methodology · Statistics 2019-10-28 Kevin Vanslette , Tony Tohme , Kamal Youcef-Toumi

Conventional deep learning models have limited capacity in learning multiple tasks sequentially. The issue of forgetting the previously learned tasks in continual learning is known as catastrophic forgetting or interference. When the input…

Machine Learning · Computer Science 2020-07-14 Honglin Li , Payam Barnaghi , Shirin Enshaeifar , Frieder Ganz

We consider the problem of learning a classifier from observed functional data. Here, each data-point takes the form of a single time-series and contains numerous features. Assuming that each such series comes with a binary label, the…

Machine Learning · Computer Science 2020-02-25 Kristiaan Pelckmans , Hong-Li Zeng

This paper develops variational continual learning (VCL), a simple but general framework for continual learning that fuses online variational inference (VI) and recent advances in Monte Carlo VI for neural networks. The framework can…

Machine Learning · Statistics 2018-05-22 Cuong V. Nguyen , Yingzhen Li , Thang D. Bui , Richard E. Turner

Model comparison is the cornerstone of theoretical progress in psychological research. Common practice overwhelmingly relies on tools that evaluate competing models by balancing in-sample descriptive adequacy against model flexibility, with…

Applications · Statistics 2021-10-11 Viet-Hung Dao , David Gunawan , Minh-Ngoc Tran , Robert Kohn , Guy E. Hawkins , Scott D. Brown

One of the well-known challenges in computer vision tasks is the visual diversity of images, which could result in an agreement or disagreement between the learned knowledge and the visual content exhibited by the current observation. In…

Machine Learning · Computer Science 2020-01-03 Yan Luo , Yongkang Wong , Mohan S. Kankanhalli , Qi Zhao

In this paper, we study the generalization properties of online learning based stochastic methods for supervised learning problems where the loss function is dependent on more than one training sample (e.g., metric learning, ranking). We…

Machine Learning · Computer Science 2013-05-14 Purushottam Kar , Bharath K Sriperumbudur , Prateek Jain , Harish C Karnick

Recent research suggests that predictions made by machine-learning models can amplify biases present in the training data. When a model amplifies bias, it makes certain predictions at a higher rate for some groups than expected based on…

Machine Learning · Computer Science 2022-10-20 Melissa Hall , Laurens van der Maaten , Laura Gustafson , Maxwell Jones , Aaron Adcock

Cross-validation (CV) is a technique used to estimate generalization error for prediction models. For pipeline modeling algorithms (i.e. modeling procedures with multiple steps), it has been recommended the entire sequence of steps be…

Machine Learning · Statistics 2020-10-05 Byron C. Jaeger , Nicholas J. Tierney , Noah R. Simon

In computer simulation of the learning process is usually assumed that all elements of the training material are assimilated equally durable. But in practice, the knowledge, which a student uses in its operations, are remembered much…

Computers and Society · Computer Science 2013-12-20 Robert V Mayer

Generalization is the ability of machine learning models to make accurate predictions on new data by learning from training data. However, understanding generalization of quantum machine learning models has been a major challenge. Here, we…

Quantum Physics · Physics 2024-08-07 Tobias Haug , M. S. Kim

Dynamical models identified from data are frequently employed in control system design. However, decoupling system identification from controller synthesis can result in situations where no suitable controller exists after a model has been…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Sampath Kumar Mulagaleti , Alberto Bemporad

We consider the parametric learning problem, where the objective of the learner is determined by a parametric loss function. Employing empirical risk minimization with possibly regularization, the inferred parameter vector will be biased…

Machine Learning · Statistics 2017-11-16 Ahmad Beirami , Meisam Razaviyayn , Shahin Shahrampour , Vahid Tarokh

Multi-modal machine translation aims at translating the source sentence into a different language in the presence of the paired image. Previous work suggests that additional visual information only provides dispensable help to translation,…

Computation and Language · Computer Science 2019-12-30 Pengcheng Yang , Boxing Chen , Pei Zhang , Xu Sun

Combinatorial optimization plays an important role in real-world problem solving. In the big data era, the dimensionality of a combinatorial optimization problem is usually very large, which poses a significant challenge to existing…

Machine Learning · Computer Science 2020-09-09 Yuan Sun , Andreas Ernst , Xiaodong Li , Jake Weiner

Bayesian cross-validation (CV) is a popular method for predictive model assessment that is simple to implement and broadly applicable. A wide range of CV schemes is available for time series applications, including generic leave-one-out…

Methodology · Statistics 2023-10-12 Alex Cooper , Dan Simpson , Lauren Kennedy , Catherine Forbes , Aki Vehtari

Machine learning plays an increasingly significant role in many aspects of our lives (including medicine, transportation, security, justice and other domains), making the potential consequences of false predictions increasingly devastating.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 Yuval Bahat , Gregory Shakhnarovich

Machine learning models are often used at test-time subject to constraints and trade-offs not present at training-time. For example, a computer vision model operating on an embedded device may need to perform real-time inference, or a…

Machine Learning · Statistics 2017-02-28 Augustus Odena , Dieterich Lawson , Christopher Olah