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Learning depends on the ability to acquire and assimilate new information. This ability depends---somewhat counterintuitively---on the ability to forget. In particular, effective forgetting requires the ability to recognize and utilize new…

Optimization and Control · Mathematics 2021-04-05 Ankit Goel , Adam L. Bruce , Dennis S. Bernstein

Recursive least squares (RLS) algorithms were once widely used for training small-scale neural networks, due to their fast convergence. However, previous RLS algorithms are unsuitable for training deep neural networks (DNNs), since they…

Machine Learning · Computer Science 2021-09-08 Chunyuan Zhang , Qi Song , Hui Zhou , Yigui Ou , Hongyao Deng , Laurence Tianruo Yang

Memory, as the basis of learning, determines the storage, update and forgetting of knowledge and further determines the efficiency of learning. Featured with the mechanism of memory, a radial basis function neural network based learning…

Systems and Control · Electrical Eng. & Systems 2023-11-27 Yiming Fei , Jiangang Li , Yanan Li

We propose a low-complexity variable forgetting factor (VFF) mechanism for recursive least square (RLS) algorithms in interference suppression applications. The proposed VFF mechanism employs an updated component related to the time average…

Information Theory · Computer Science 2013-02-26 Yunlong Cai , Rodrigo C. de Lamare

Large Language Models (LLMs) possess encompassing capabilities that can process diverse language-related tasks. However, finetuning on LLMs will diminish this general skills and continual finetuning will further cause severe degradation on…

Machine Learning · Computer Science 2025-07-09 Kai Tong , Kang Pan , Xiao Zhang , Erli Meng , Run He , Yawen Cui , Nuoyan Guo , Huiping Zhuang

Nearly all real world tasks are inherently partially observable, necessitating the use of memory in Reinforcement Learning (RL). Most model-free approaches summarize the trajectory into a latent Markov state using memory models borrowed…

Machine Learning · Computer Science 2023-10-09 Steven Morad , Ryan Kortvelesy , Stephan Liwicki , Amanda Prorok

In this paper, a recursive least squares (RLS) based blind adaptive beamforming algorithm that features a new variable forgetting factor (VFF) mechanism is presented. The beamformer is designed according to the constrained constant modulus…

Other Computer Science · Computer Science 2014-06-27 Q. Boya , Y. Cai , B. Champagne , R. C. de Lamare , M. Zhao

A fundamental problem in machine learning is to understand how neural networks make accurate predictions, while seemingly bypassing the curse of dimensionality. A possible explanation is that common training algorithms for neural networks…

Machine Learning · Statistics 2024-01-10 Adityanarayanan Radhakrishnan , Mikhail Belkin , Dmitriy Drusvyatskiy

We propose a recursive least-squares method with multiple forgetting schemes to track time-varying model parameters which change with different rates. Our approach hinges on the reformulation of the classic recursive least-squares with…

Optimization and Control · Mathematics 2015-03-26 Francesco Fraccaroli , Andrea Peruffo , Mattia Zorzi

Efficient continual learning techniques have been a topic of significant research over the last few years. A fundamental problem with such learning is severe degradation of performance on previously learned tasks, known also as catastrophic…

Machine Learning · Computer Science 2024-03-05 Tammuz Dubnov , Vishal Thengane

Recurrent neural networks (RNNs) provide state-of-the-art performance in processing sequential data but are memory intensive to train, limiting the flexibility of RNN models which can be trained. Reversible RNNs---RNNs for which the…

Machine Learning · Computer Science 2018-10-26 Matthew MacKay , Paul Vicol , Jimmy Ba , Roger Grosse

New recursive least squares algorithms with rank two updates (RLSR2) that include both exponential and instantaneous forgetting (implemented via a proper choice of the forgetting factor and the window size) are introduced and systematically…

Optimization and Control · Mathematics 2025-07-16 Alexander Stotsky

Convolutional neural networks (CNNs) have succeeded in many practical applications. However, their high computation and storage requirements often make them difficult to deploy on resource-constrained devices. In order to tackle this issue,…

Machine Learning · Computer Science 2022-01-14 Tianzong Yu , Chunyuan Zhang , Yuan Wang , Meng Ma , Qi Song

The goal of continual learning (CL) is to learn a sequence of tasks without suffering from the phenomenon of catastrophic forgetting. Previous work has shown that leveraging memory in the form of a replay buffer can reduce performance…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Sayna Ebrahimi , Suzanne Petryk , Akash Gokul , William Gan , Joseph E. Gonzalez , Marcus Rohrbach , Trevor Darrell

Backpropagation through time (BPTT) is the standard algorithm for training recurrent neural networks (RNNs), which requires separate simulation phases for the forward and backward passes for inference and learning, respectively. Moreover,…

Machine Learning · Computer Science 2023-03-13 Anand Subramoney

A common challenge in continual learning (CL) is catastrophic forgetting, where the performance on old tasks drops after new, additional tasks are learned. In this paper, we propose a novel framework called ReCL to slow down forgetting in…

Machine Learning · Computer Science 2025-03-04 Pascal Janetzky , Tobias Schlagenhauf , Stefan Feuerriegel

Recurrent Neural Networks (RNNs) are widely used for online regression due to their ability to generalize nonlinear temporal dependencies. As an RNN model, Long-Short-Term-Memory Networks (LSTMs) are commonly preferred in practice, as these…

Machine Learning · Computer Science 2021-06-01 N. Mert Vural , Fatih Ilhan , Selim F. Yilmaz , Salih Ergüt , Suleyman S. Kozat

This paper presents subspace of information forgetting recursive least squares (SIFt-RLS), a directional forgetting algorithm which, at each step, forgets only in row space of the regressor matrix, or the \textit{information subspace}. As a…

Signal Processing · Electrical Eng. & Systems 2024-04-18 Brian Lai , Dennis S. Bernstein

This paper introduces two novel approaches for Online Multi-Task Learning (MTL) Regression Problems. We employ a high performance graph-based MTL formulation and develop two alternative recursive versions based on the Weighted Recursive…

Machine Learning · Statistics 2024-03-19 Gabriel R. Lencione , Fernando J. Von Zuben

We propose an efficient online dictionary learning algorithm for kernel-based sparse representations. In this framework, input signals are nonlinearly mapped to a high-dimensional feature space and represented sparsely using a virtual…

Machine Learning · Computer Science 2025-07-03 Ghasem Alipoor , Karl Skretting
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