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We develop a form Thompson sampling for online learning under full feedback - also known as prediction with expert advice - where the learner's prior is defined over the space of an adversary's future actions, rather than the space of…

Machine Learning · Computer Science 2025-09-23 Alexander Terenin , Jeffrey Negrea

B\'ezier simplex fitting algorithms have been recently proposed to approximate the Pareto set/front of multi-objective continuous optimization problems. These new methods have shown to be successful at approximating various shapes of Pareto…

Machine Learning · Computer Science 2021-04-14 Akinori Tanaka , Akiyoshi Sannai , Ken Kobayashi , Naoki Hamada

One of the central goals of Recurrent Neural Networks (RNNs) is to learn long-term dependencies in sequential data. Nevertheless, the most popular training method, Truncated Backpropagation through Time (TBPTT), categorically forbids…

Machine Learning · Computer Science 2019-05-20 Frederik Benzing , Marcelo Matheus Gauy , Asier Mujika , Anders Martinsson , Angelika Steger

Practical online learning tasks are often naturally defined on unconstrained domains, where optimal algorithms for general convex losses are characterized by the notion of comparator adaptivity. In this paper, we design such algorithms in…

Machine Learning · Computer Science 2022-10-13 Zhiyu Zhang , Ashok Cutkosky , Ioannis Ch. Paschalidis

We consider the problem of learning graphical models where the support of the concentration matrix can be decomposed as a Kronecker product. We propose a method that uses the Bayesian hierarchical learning modeling approach. Thanks to the…

Optimization and Control · Mathematics 2019-01-31 Mattia Zorzi

Deep neural networks are susceptible to catastrophic forgetting when trained on sequential tasks. Various continual learning (CL) methods often rely on exemplar buffers or/and network expansion for balancing model stability and plasticity,…

Machine Learning · Computer Science 2024-01-18 Depeng Li , Tianqi Wang , Junwei Chen , Qining Ren , Kenji Kawaguchi , Zhigang Zeng

Despite recent progress, continual learning still does not match the performance of batch training. To avoid catastrophic forgetting, we need to build compact memory of essential past knowledge, but no clear solution has yet emerged, even…

Machine Learning · Computer Science 2025-11-13 Yohan Jung , Hyungi Lee , Wenlong Chen , Thomas Möllenhoff , Yingzhen Li , Juho Lee , Mohammad Emtiyaz Khan

A recent breakthrough in nonconvex optimization is the online-to-nonconvex conversion framework of [Cutkosky et al., 2023], which reformulates the task of finding an $\varepsilon$-first-order stationary point as an online learning problem.…

Optimization and Control · Mathematics 2026-02-10 Francisco Patitucci , Ruichen Jiang , Aryan Mokhtari

Attention mechanisms have revolutionized sequence learning but suffer from quadratic computational complexity. This paper introduces \model, a novel recurrent neural network (RNN) mechanism that leverages the inherent low-rank structure of…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami , Razvan Pascanu , Vahab Mirrokni

The ability of neural networks (NNs) to learn and remember multiple tasks sequentially is facing tough challenges in achieving general artificial intelligence due to their catastrophic forgetting (CF) issues. Fortunately, the latest OWM…

Machine Learning · Computer Science 2021-11-22 Yanni Li , Bing Liu , Kaicheng Yao , Xiaoli Kou , Pengfan Lv , Yueshen Xu , Jiangtao Cui

Unlike humans, who are capable of continual learning over their lifetimes, artificial neural networks have long been known to suffer from a phenomenon known as catastrophic forgetting, whereby new learning can lead to abrupt erasure of…

Artificial Intelligence · Computer Science 2018-06-20 Christos Kaplanis , Murray Shanahan , Claudia Clopath

In this paper, we provide two new stable online algorithms for the problem of prediction in reinforcement learning, \emph{i.e.}, estimating the value function of a model-free Markov reward process using the linear function approximation…

Machine Learning · Computer Science 2018-06-19 Ajin George Joseph , Shalabh Bhatnagar

Online class-incremental continual learning is a specific task of continual learning. It aims to continuously learn new classes from data stream and the samples of data stream are seen only once, which suffers from the catastrophic…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Huiwei Lin , Baoquan Zhang , Shanshan Feng , Xutao Li , Yunming Ye

Continual learning seeks the human-like ability to accumulate new skills in machine intelligence. Its central challenge is catastrophic forgetting, whose underlying cause has not been fully understood for deep networks. In this paper, we…

Machine Learning · Computer Science 2025-10-13 Ze Peng , Jian Zhang , Jintao Guo , Lei Qi , Yang Gao , Yinghuan Shi

We introduce a general framework of stochastic online convex optimization to obtain fast-rate stochastic regret bounds. We prove that algorithms such as online newton steps and a scale-free 10 version of Bernstein online aggregation achieve…

Machine Learning · Computer Science 2023-04-24 Olivier Wintenberger

Large-scale distributed training of deep neural networks suffer from the generalization gap caused by the increase in the effective mini-batch size. Previous approaches try to solve this problem by varying the learning rate and batch size…

Machine Learning · Computer Science 2019-04-02 Kazuki Osawa , Yohei Tsuji , Yuichiro Ueno , Akira Naruse , Rio Yokota , Satoshi Matsuoka

This paper develops a new exponential forgetting algorithm that can prevent so-called the estimator windup problem, while retaining fast convergence speed. To investigate the properties of the proposed forgetting algorithm, boundedness of…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Hyo-Sang Shin , Hae-In Lee

Knowledge Graph Embeddings (KGEs) support a wide range of downstream tasks over Knowledge Graphs (KGs). In practice, KGs evolve as new entities and facts are added, motivating Continual Knowledge Graph Embedding (CKGE) methods that update…

Machine Learning · Computer Science 2026-04-22 Gerard Pons , Carlos Escolano , Besim Bilalli , Anna Queralt

Bayesian inference typically requires the computation of an approximation to the posterior distribution. An important requirement for an approximate Bayesian inference algorithm is to output high-accuracy posterior mean and uncertainty…

Statistics Theory · Mathematics 2018-10-03 Jonathan H. Huggins , Trevor Campbell , Mikołaj Kasprzak , Tamara Broderick

We propose the approximate Laplace approximation (ALA) to evaluate integrated likelihoods, a bottleneck in Bayesian model selection. The Laplace approximation (LA) is a popular tool that speeds up such computation and equips strong model…

Computation · Statistics 2021-10-07 David Rossell , Oriol Abril , Anirban Bhattacharya