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Neural networks are achieving state of the art and sometimes super-human performance on learning tasks across a variety of domains. Whenever these problems require learning in a continual or sequential manner, however, neural networks…

Machine Learning · Computer Science 2019-10-17 Mehrdad Farajtabar , Navid Azizan , Alex Mott , Ang Li

Continual learning, the ability of a model to adapt to an ongoing sequence of tasks without forgetting earlier ones, is a central goal of artificial intelligence. To better understand its underlying mechanisms, we study the limitations of…

Machine Learning · Statistics 2026-04-21 Hossein Taheri , Avishek Ghosh , Arya Mazumdar

Orthogonal Gradient Descent (OGD) has emerged as a powerful method for continual learning. However, its Euclidean projections do not leverage the underlying information-geometric structure of the problem, which can lead to suboptimal…

Machine Learning · Computer Science 2025-12-09 Yajat Yadav , Patrick Mendoza , Jathin Korrapati

Continual learning (CL) is a setting in which an agent has to learn from an incoming stream of data during its entire lifetime. Although major advances have been made in the field, one recurring problem which remains unsolved is that of…

Machine Learning · Computer Science 2021-02-26 Thang Doan , Mehdi Bennani , Bogdan Mazoure , Guillaume Rabusseau , Pierre Alquier

Sequential training from task to task is becoming one of the major objects in deep learning applications such as continual learning and transfer learning. Nevertheless, it remains unclear under what conditions the trained model's…

Machine Learning · Statistics 2022-03-21 Ryo Karakida , Shotaro Akaho

Pairwise learning, an important domain within machine learning, addresses loss functions defined on pairs of training examples, including those in metric learning and AUC maximization. Acknowledging the quadratic growth in computation…

Machine Learning · Computer Science 2024-02-05 Hilal AlQuabeh , William de Vazelhes , Bin Gu

Catastrophic forgetting is the notorious vulnerability of neural networks to the change of the data distribution while learning. This phenomenon has long been considered a major obstacle for allowing the use of learning agents in realistic…

Machine Learning · Statistics 2019-02-13 Chen Zeno , Itay Golan , Elad Hoffer , Daniel Soudry

When machine learning models are trained continually on a sequence of tasks, they are often liable to forget what they learned on previous tasks--a phenomenon known as catastrophic forgetting. Proposed solutions to catastrophic forgetting…

Machine Learning · Computer Science 2025-12-18 Youngjae Min , Benjamin Wright , Jeremy Bernstein , Navid Azizan

We consider the problem of learning multiple tasks in a continual learning setting in which data from different tasks is presented to the learner in a streaming fashion. A key challenge in this setting is the so-called "catastrophic…

Machine Learning · Computer Science 2023-09-22 Christiaan Lamers , Rene Vidal , Nabil Belbachir , Niki van Stein , Thomas Baeck , Paris Giampouras

Learn to Optimize (L2O) trains deep neural network-based solvers for optimization, achieving success in accelerating convex problems and improving non-convex solutions. However, L2O lacks rigorous theoretical backing for its own training…

Machine Learning · Computer Science 2025-12-24 Qingyu Song , Wei Lin , Hong Xu

Neural networks often make predictions relying on the spurious correlations from the datasets rather than the intrinsic properties of the task of interest, facing sharp degradation on out-of-distribution (OOD) test data. Existing de-bias…

Machine Learning · Computer Science 2023-01-20 Xinzhe Han , Shuhui Wang , Chi Su , Qingming Huang , Qi Tian

Deep learning is typically performed by learning a neural network solely from data in the form of input-output pairs ignoring available domain knowledge. In this work, the Constraint Guided Gradient Descent (CGGD) framework is proposed that…

Artificial Intelligence · Computer Science 2022-06-15 Quinten Van Baelen , Peter Karsmakers

Pairwise learning is essential in machine learning, especially for problems involving loss functions defined on pairs of training examples. Online gradient descent (OGD) algorithms have been proposed to handle online pairwise learning,…

Machine Learning · Computer Science 2023-10-11 Hilal AlQuabeh , Bhaskar Mukhoty , Bin Gu

Addressing catastrophic forgetting is one of the key challenges in continual learning where machine learning systems are trained with sequential or streaming tasks. Despite recent remarkable progress in state-of-the-art deep learning, deep…

Machine Learning · Computer Science 2019-05-22 Xilai Li , Yingbo Zhou , Tianfu Wu , Richard Socher , Caiming Xiong

We study nonparametric regression by an over-parameterized two-layer neural network trained by gradient descent (GD) in this paper. We show that, if the neural network is trained by GD with early stopping, then the trained network renders a…

Machine Learning · Statistics 2025-11-07 Yingzhen Yang , Ping Li

Catastrophic forgetting is one of the fundamental issues of continual learning because neural networks forget the tasks learned previously when trained on new tasks. The proposed framework is a new path-coordinated framework of continual…

Machine Learning · Computer Science 2025-11-05 Rathin Chandra Shit

Continual learning aims to avoid catastrophic forgetting and effectively leverage learned experiences to master new knowledge. Existing gradient projection approaches impose hard constraints on the optimization space for new tasks to…

Machine Learning · Computer Science 2023-01-31 Zeyuan Yang , Zonghan Yang , Peng Li , Yang Liu

Lifelong learning is challenging for deep neural networks due to their susceptibility to catastrophic forgetting. Catastrophic forgetting occurs when a trained network is not able to maintain its ability to accomplish previously learned…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Mengyao Zhai , Lei Chen , Fred Tung , Jiawei He , Megha Nawhal , Greg Mori

In this report we consider the following problem: Given a trained model that is partially faulty, can we correct its behaviour without having to train the model from scratch? In other words, can we ``debug" neural networks similar to how we…

Machine Learning · Computer Science 2022-06-20 Narsimha Chilkuri , Chris Eliasmith

Continual learning (CL) presents a fundamental challenge in training neural networks on sequential tasks without experiencing catastrophic forgetting. Traditionally, the dominant approach in CL has been gradient-based optimization, where…

Machine Learning · Computer Science 2025-04-03 Grzegorz Rypeść
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