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This paper proposes an abstract mathematical frame for describing some features of cognitive and biological time. We focus here on the so called "extended present" as a result of protentional and retentional activities (memory and…

Other Quantitative Biology · Quantitative Biology 2012-04-09 Giuseppe Longo , Maël Montévil

The basic units in our brain are neurons and each neuron has more than 1000 synapse connections. Synapse is the basic structure for information transfer in an ever-changing manner, and short-term plasticity allows synapses to perform…

Materials Science · Physics 2014-03-05 Li Qiang Zhu , Chang Jin Wan , Li Qiang Guo , Yi Shi , Qing Wan

The input/output complexity, which is the complexity of data exchange between the main memory and the external memory, has been elaborately studied by a lot of former researchers. However, the existing works failed to consider the…

Computational Complexity · Computer Science 2022-08-23 Hengzhao Ma , Jianzhong Li , Xiangyu Gao , Tianpeng Gao

Existing Continual Learning (CL) approaches have focused on addressing catastrophic forgetting by leveraging regularization methods, replay buffers, and task-specific components. However, realistic CL solutions must be shaped not only by…

Machine Learning · Computer Science 2023-10-11 Jinyung Hong , Theodore P. Pavlic

Gating mechanisms have emerged as an effective strategy integrated into model designs beyond recurrent neural networks for addressing long-range dependency problems. In a broad understanding, it provides adaptive control over the…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Yifan Wang , Xu Ma , Yitian Zhang , Zhongruo Wang , Sung-Cheol Kim , Vahid Mirjalili , Vidya Renganathan , Yun Fu

Forgetting is often seen as an unwanted characteristic in both human and machine learning. However, we propose that forgetting can in fact be favorable to learning. We introduce "forget-and-relearn" as a powerful paradigm for shaping the…

Machine Learning · Computer Science 2022-02-02 Hattie Zhou , Ankit Vani , Hugo Larochelle , Aaron Courville

Neuromorphic computing is a brainlike information processing paradigm that requires adaptive learning mechanisms. A spiking neuro-evolutionary system is used for this purpose; plastic resistive memories are implemented as synapses in…

Neural and Evolutionary Computing · Computer Science 2015-05-19 Gerard David Howard , Larry Bull , Ben de Lacy Costello , Andrew Adamatzky , Ella Gale

The standard LSTM recurrent neural networks while very powerful in long-range dependency sequence applications have highly complex structure and relatively large (adaptive) parameters. In this work, we present empirical comparison between…

Neural and Evolutionary Computing · Computer Science 2017-01-13 Yuzhen Lu , Fathi M. Salem

Underlying mechanisms of memorization in LLMs -- the verbatim reproduction of training data -- remain poorly understood. What exact part of the network decides to retrieve a token that we would consider as start of memorization sequence?…

Computation and Language · Computer Science 2026-02-04 Ilya Lasy , Peter Knees , Stefan Woltran

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

Probability · Mathematics 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

Human memory is fleeting. As words are processed, the exact wordforms that make up incoming sentences are rapidly lost. Cognitive scientists have long believed that this limitation of memory may, paradoxically, help in learning language -…

Computation and Language · Computer Science 2026-05-11 Abishek Thamma , Micha Heilbron

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

The learned weights of a neural network are often considered devoid of scrutable internal structure. To discern structure in these weights, we introduce a measurable notion of modularity for multi-layer perceptrons (MLPs), and investigate…

Neural and Evolutionary Computing · Computer Science 2022-02-09 Daniel Filan , Shlomi Hod , Cody Wild , Andrew Critch , Stuart Russell

The dynamics of local cortical networks are irregular, but correlated. Dynamic excitatory--inhibitory balance is a plausible mechanism that generates such irregular activity, but it remains unclear how balance is achieved and maintained in…

Neurons and Cognition · Quantitative Biology 2020-04-28 Alan Eric Akil , Robert Rosenbaum , Krešimir Josić

We consider the general problem of modeling temporal data with long-range dependencies, wherein new observations are fully or partially predictable based on temporally-distant, past observations. A sufficiently powerful temporal model…

Recurrent neural networks (RNNs) have shown clear superiority in sequence modeling, particularly the ones with gated units, such as long short-term memory (LSTM) and gated recurrent unit (GRU). However, the dynamic properties behind the…

Machine Learning · Computer Science 2017-02-28 Zhiyuan Tang , Ying Shi , Dong Wang , Yang Feng , Shiyue Zhang

Remembering and forgetting mechanisms are two sides of the same coin in a human learning-memory system. Inspired by human brain memory mechanisms, modern machine learning systems have been working to endow machine with lifelong learning…

Machine Learning · Computer Science 2021-11-23 Jian Peng , Xian Sun , Min Deng , Chao Tao , Bo Tang , Wenbo Li , Guohua Wu , QingZhu , Yu Liu , Tao Lin , Haifeng Li

We extend to materials with fading memory and materials with internal variables a result previously established by one of us for materials with instantaneous memory: the additive decomposability of the total energy into an internal and a…

Mathematical Physics · Physics 2009-07-30 Antonino Favata , Paolo Podio-Guidugli , Giuseppe Tomassetti

Convolutional Neural Networks experience catastrophic forgetting when optimized on a sequence of learning problems: as they meet the objective of the current training examples, their performance on previous tasks drops drastically. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Davide Abati , Jakub Tomczak , Tijmen Blankevoort , Simone Calderara , Rita Cucchiara , Babak Ehteshami Bejnordi

Stochastic neural networks are a prototypical computational device able to build a probabilistic representation of an ensemble of external stimuli. Building on the relationship between inference and learning, we derive a synaptic plasticity…

Disordered Systems and Neural Networks · Physics 2018-10-23 Luca Saglietti , Federica Gerace , Alessandro Ingrosso , Carlo Baldassi , Riccardo Zecchina