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Catastrophic forgetting describes the fact that machine learning models will likely forget the knowledge of previously learned tasks after the learning process of a new one. It is a vital problem in the continual learning scenario and…

Machine Learning · Computer Science 2022-05-25 Wenjie Jiang , Zhide Lu , Dong-Ling Deng

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

Contemporary neural networks are limited in their ability to learn from evolving streams of training data. When trained sequentially on new or evolving tasks, their accuracy drops sharply, making them unsuitable for many real-world…

Computer Vision and Pattern Recognition · Computer Science 2021-02-19 Sudhanshu Mittal , Silvio Galesso , Thomas Brox

Complexity is an interdisciplinary concept which, first of all, addresses the question of how order emerges out of randomness. For many reasons matrices provide a very practical and powerful tool in approaching and quantifying the related…

Soft Condensed Matter · Physics 2008-12-18 S. Drozdz , J. Kwapien , J. Speth , M. Wojcik

Because reinforcement learning suffers from a lack of scalability, online value (and Q-) function approximation has received increasing interest this last decade. This contribution introduces a novel approximation scheme, namely the Kalman…

Machine Learning · Computer Science 2014-06-13 Matthieu Geist , Olivier Pietquin

Feature Transformation is crucial for classic machine learning that aims to generate feature combinations to enhance the performance of downstream tasks from a data-centric perspective. Current methodologies, such as manual expert-driven…

Machine Learning · Computer Science 2025-03-27 Tianqi He , Xiaohan Huang , Yi Du , Qingqing Long , Ziyue Qiao , Min Wu , Yanjie Fu , Yuanchun Zhou , Meng Xiao

In modern science the efficient numerical treatment of high-dimensional problems becomes more and more important. A fundamental insight of the theory of information-based complexity (IBC for short) is that the computational hardness of a…

Numerical Analysis · Mathematics 2013-05-20 Markus Weimar

This paper studies the convergence behaviour of dictionary learning via the Iterative Thresholding and K-residual Means (ITKrM) algorithm. On one hand it is proved that ITKrM is a contraction under much more relaxed conditions than…

Machine Learning · Statistics 2021-04-22 Marie Christine Pali , Karin Schnass

Many resource allocation tasks are challenging global (i.e., non-convex) optimization problems. The main issue is that the computational complexity of these problems grows exponentially in the number of variables instead of polynomially as…

Information Theory · Computer Science 2019-10-17 Bho Matthiesen , Eduard A. Jorswieck

In multi-agent environments in which coordination is desirable, the history of play often causes lock-in at sub-optimal outcomes. Notoriously, technologies with a significant environmental footprint or high social cost persist despite the…

Computer Science and Game Theory · Computer Science 2020-07-28 Stefanos Leonardos , Iosif Sakos , Costas Courcoubetis , Georgios Piliouras

Optimization algorithms appear in the core calculations of numerous Artificial Intelligence (AI) and Machine Learning methods, as well as Engineering and Business applications. Following recent works on the theoretical deficiencies of AI, a…

Optimization and Control · Mathematics 2024-10-29 Nikolaos P. Bakas , Vagelis Plevris , Andreas Langousis , Savvas A. Chatzichristofis

Catastrophic interference, also known as catastrophic forgetting, is a fundamental challenge in machine learning, where a trained learning model progressively loses performance on previously learned tasks when adapting to new ones. In this…

Machine Learning · Computer Science 2025-10-08 Yuke Li , Yujia Zheng , Tianyi Xiong , Zhenyi Wang , Heng Huang

We consider an online learning problem in environments with multiple change points. In contrast to the single change point problem that is widely studied using classical "high confidence" detection schemes, the multiple change point…

Machine Learning · Statistics 2026-02-13 Tomer Gafni , Garud Iyengar , Assaf Zeevi

Unlike primates, training artificial neural networks on changing data distributions leads to a rapid decrease in performance on old tasks. This phenomenon is commonly referred to as catastrophic forgetting. In this paper, we investigate the…

Machine Learning · Computer Science 2023-10-10 Daniel Anthes , Sushrut Thorat , Peter König , Tim C. Kietzmann

One of the major limitations of deep learning models is that they face catastrophic forgetting in an incremental learning scenario. There have been several approaches proposed to tackle the problem of incremental learning. Most of these…

Machine Learning · Computer Science 2021-02-04 Vinod K Kurmi , Badri N. Patro , Venkatesh K. Subramanian , Vinay P. Namboodiri

To solve complex tasks, individuals often autonomously organize in teams. Examples of complex tasks include disaster relief rescue operations or project development in consulting. The teams that work on such tasks are adaptive at multiple…

General Economics · Economics 2021-03-04 Darío Blanco-Fernández , Stephan Leitner , Alexandra Rausch

A general notion of information-related complexity applicable to both natural and man-made systems is proposed. The overall approach is to explicitly consider a rational agent performing a certain task with a quantifiable degree of success.…

Data Analysis, Statistics and Probability · Physics 2013-01-18 Eugene Perevalov , David Grace

Humans often think of complex tasks as combinations of simpler subtasks in order to learn those complex tasks more efficiently. For example, a backflip could be considered a combination of four subskills: jumping, tucking knees, rolling…

Machine Learning · Computer Science 2020-10-21 Pranay Pasula

Computational complexity is a core theory of computer science, which dictates the degree of difficulty of computation. There are many problems with high complexity that we have to deal, which is especially true for AI. This raises a big…

Computational Complexity · Computer Science 2023-01-10 Chuyu Xiong

Iterative algorithms solve problems by taking steps until a solution is reached. Models in the form of Deep Thinking (DT) networks have been demonstrated to learn iterative algorithms in a way that can scale to different sized problems at…

Machine Learning · Computer Science 2024-11-01 Jay Bear , Adam Prügel-Bennett , Jonathon Hare