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Catastrophic forgetting in continual learning is often measured at the performance or last-layer representation level, overlooking the underlying mechanisms. We introduce a mechanistic framework that offers a geometric interpretation of…

Machine Learning · Computer Science 2026-04-21 Sergi Masip , Gido M. van de Ven , Javier Ferrando , Tinne Tuytelaars

Consider the problem of imputing missing values in a dataset. One the one hand, conventional approaches using iterative imputation benefit from the simplicity and customizability of learning conditional distributions directly, but suffer…

Machine Learning · Statistics 2022-06-17 Daniel Jarrett , Bogdan Cebere , Tennison Liu , Alicia Curth , Mihaela van der Schaar

A growing body of research in continual learning focuses on the catastrophic forgetting problem. While many attempts have been made to alleviate this problem, the majority of the methods assume a single model in the continual learning…

Machine Learning · Computer Science 2023-07-06 Thang Doan , Seyed Iman Mirzadeh , Mehrdad Farajtabar

A fundamental challenge in Continual Learning (CL) is catastrophic forgetting, where adapting to new tasks degrades the performance on previous ones. While the field has evolved with diverse methods, this rapid surge in diverse…

Machine Learning · Computer Science 2025-12-29 Wenbin Li , Shangge Liu , Borui Kang , Yiyang Chen , KaXuan Lew , Yang Chen , Yinghuan Shi , Lei Wang , Yang Gao , Jiebo Luo

Recently, a detailed epistemic reasoning framework for multi-agent systems with byzantine faulty asynchronous agents and possibly unreliable communication was introduced. We have developed a modular extension framework implemented on top of…

Multiagent Systems · Computer Science 2021-08-09 Thomas Schlögl , Ulrich Schmid , Roman Kuznets

It is an open problem whether any pair of Bessel sequences with wavelet structure can be extended to a pair of dual frames by adding a pair of singly generated wavelet systems. We consider the particular case where the given wavelet systems…

Functional Analysis · Mathematics 2014-01-07 Ole Christensen , Hong Oh Kim , Rae Young Kim

Many interpretable AI approaches have been proposed to provide plausible explanations for a model's decision-making. However, configuring an explainable model that effectively communicates among computational modules has received less…

Machine Learning · Computer Science 2023-11-09 Jinyung Hong , Keun Hee Park , Theodore P. Pavlic

This paper outlines a general formal framework for reasoning systems, intended to support future analysis of inference architectures across domains. We model reasoning systems as structured tuples comprising phenomena, explanation space,…

Artificial Intelligence · Computer Science 2025-08-05 Saleh Nikooroo , Thomas Engel

The computational complexity of the self-attention mechanism in Transformer models significantly limits their ability to generalize over long temporal durations. Memory-augmentation, or the explicit storing of past information in external…

Computation and Language · Computer Science 2022-11-29 Omri Raccah , Phoebe Chen , Ted L. Willke , David Poeppel , Vy A. Vo

A memristor is a two-terminal nanodevice that its properties attract a wide community of researchers from various domains such as physics, chemistry, electronics, computer and neuroscience.The simple structure for manufacturing, small…

Emerging Technologies · Computer Science 2017-03-02 Mahyar Shahsavari , Pierre Boulet

The most efficient MC weights for the calculation of physical, canonical expectation values are not necessarily those of the canonical ensemble. The use of suitably generalized ensembles can lead to a much faster convergence of the…

Statistical Mechanics · Physics 2011-01-24 Bernd A. Berg

This paper addresses the limitations of large language models in understanding long-term context. It proposes a model architecture equipped with a long-term memory mechanism to improve the retention and retrieval of semantic information…

Computation and Language · Computer Science 2025-05-30 Yue Xing , Tao Yang , Yijiashun Qi , Minggu Wei , Yu Cheng , Honghui Xin

Functional magnetic resonance imaging (fMRI) is widely used for studying and diagnosing brain disorders, with functional connectivity (FC) matrices providing powerful representations of large-scale neural interactions. However, existing…

Tissues and Organs · Quantitative Biology 2026-04-17 Qianyu Chen , Shujian Yu

Recommender systems support decisions in various domains ranging from simple items such as books and movies to more complex items such as financial services, telecommunication equipment, and software systems. In this context,…

Information Retrieval · Computer Science 2021-02-15 Alexander Felfernig , Viet-Man Le , Andrei Popescu , Mathias Uta , Thi Ngoc Trang Tran , Müslüum Atas

Due to their black-box and data-hungry nature, deep learning techniques are not yet widely adopted for real-world applications in critical domains, like healthcare and justice. This paper presents Memory Wrap, a plug-and-play extension to…

Machine Learning · Computer Science 2023-10-30 Biagio La Rosa , Roberto Capobianco , Daniele Nardi

The advent of deep learning has resulted in a number of applications which have transformed the landscape of the research area in which it has been applied. However, with an increase in popularity, the complexity of classical deep neural…

Emerging Technologies · Computer Science 2022-08-24 Venkatesh Rammamoorthy , Geng Zhao , Bharathi Reddy , Ming-Yang Lin

In many real-world scenarios, data to train machine learning models becomes available over time. Unfortunately, these models struggle to continually learn new concepts without forgetting what has been learnt in the past. This phenomenon is…

Computation and Language · Computer Science 2023-01-16 Beyza Ermis , Giovanni Zappella , Martin Wistuba , Aditya Rawal , Cedric Archambeau

Multivariate data occurs in a wide range of fields, with ever more flexible model specifications being proposed, often within a multivariate generalised linear mixed effects (MGLME) framework. In this article, we describe an extended…

Methodology · Statistics 2017-10-09 Michael J. Crowther

I shall describe a general model-theoretic task to construct expansions of pseudofinite structures and discuss several examples of particular relevance to computational complexity. Then I will present one specific situation where finding a…

Logic · Mathematics 2017-02-10 Jan Krajicek

In this contribution we present an abstract framework for adaptive model hierarchies together with several instances of hierarchies for specific applications. The hierarchy is particularly useful when integrated within an outer loop, for…

Numerical Analysis · Mathematics 2024-11-27 Hendrik Kleikamp , Mario Ohlberger
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