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Earlier we proposed the stochastic point process model, which reproduces a variety of self-affine time series exhibiting power spectral density S(f) scaling as power of the frequency f and derived a stochastic differential equation with the…

Physics and Society · Physics 2008-12-02 V. Gontis , B. Kaulakys

Neural population activity often exhibits rich variability and temporal structure. This variability is thought to arise from single-neuron stochasticity, neural dynamics on short time-scales, as well as from modulations of neural firing…

Machine Learning · Statistics 2014-10-14 Mijung Park , Jakob H. Macke

As we discussed in Part I of this topic, there is a clear desire to model and comprehend human behavior. Given the popular presupposition of human reasoning as the standard for learning and decision-making, there have been significant…

Artificial Intelligence · Computer Science 2022-05-16 Andrew Fuchs , Andrea Passarella , Marco Conti

Catastrophic forgetting can be a significant problem for institutions that must delete historic data for privacy reasons. For example, hospitals might not be able to retain patient data permanently. But neural networks trained on recent…

Machine Learning · Statistics 2019-02-19 Sebastian Farquhar , Yarin Gal

It is shown that due to memory effects the complex behaviour of components in a stochastic system can be transmitted to macroscopic evolution of the system as a whole. Within the Markov approximation widely using in ordinary statistical…

adap-org · Physics 2009-10-30 A. A. Stanislavsky

The paper tackles four basic questions associated with human brain as a learning system. How can the brain learn to (1) mentally simulate different external memory aids, (2) perform, in principle, any mental computations using imaginary…

Artificial Intelligence · Computer Science 2009-01-12 Victor Eliashberg

Symbolic perturbations offer a novel approach for influencing neural representations without requiring direct modification of model parameters. The recursive regeneration of symbolic structures introduces structured variations in latent…

Computation and Language · Computer Science 2025-08-11 Kathlyn Eaglewood , Tobias Featherington , Dorian Mayfair , Sylvester Grimshaw , James Pettigrew

How do people acquire rich, flexible knowledge about their environment from others despite limited cognitive capacity? Humans are often thought to rely on computationally costly mentalizing, such as inferring others' beliefs. In contrast,…

Artificial Intelligence · Computer Science 2026-05-11 Silja Keßler , Miriam Bautista-Salinero , Claudio Tennie , Charley M. Wu

Existing methods for multi-modal time series representation learning aim to disentangle the modality-shared and modality-specific latent variables. Although achieving notable performances on downstream tasks, they usually assume an…

Machine Learning · Computer Science 2024-05-28 Ruichu Cai , Zhifang Jiang , Zijian Li , Weilin Chen , Xuexin Chen , Zhifeng Hao , Yifan Shen , Guangyi Chen , Kun Zhang

What is the physiological basis of long-term memory? The prevailing view in neuroscience attributes changes in synaptic efficacy to memory acquisition. This view implies that stable memories correspond to stable connectivity patterns.…

Neurons and Cognition · Quantitative Biology 2019-10-09 Lee Susman , Naama Brenner , Omri Barak

Learning meaningful causal representations from observations has emerged as a crucial task for facilitating machine learning applications and driving scientific discoveries in fields such as climate science, biology, and physics. This…

Machine Learning · Computer Science 2026-02-06 Jiaxu Ren , Yixin Wang , Biwei Huang

Modern deep-learning training is not memoryless. Updates depend on optimizer moments and averaging, data-order policies (random reshuffling vs with-replacement, staged augmentations and replay), the nonconvex path, and auxiliary state…

Machine Learning · Computer Science 2026-01-30 Vasileios Sevetlidis , George Pavlidis

We propose a constructive approach to building temporal point processes that incorporate dependence on their history. The dependence is modeled through the conditional density of the duration, i.e., the interval between successive event…

Methodology · Statistics 2025-10-31 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Memories in neural system are shaped through the interplay of neural and learning dynamics under external inputs. By introducing a simple local learning rule to a neural network, we found that the memory capacity is drastically increased by…

Adaptation and Self-Organizing Systems · Physics 2020-07-01 Tomoki Kurikawa , Omri Barak , Kunihiko Kaneko

State space models (SSMs) have gained attention by showing potential to outperform Transformers. However, previous studies have not sufficiently addressed the mechanisms underlying their high performance owing to a lack of theoretical…

Machine Learning · Computer Science 2025-10-02 JingChuan Guan , Tomoyuki Kubota , Yasuo Kuniyoshi , Kohei Nakajima

Understanding the mental state of other people is an important skill for intelligent agents and robots to operate within social environments. However, the mental processes involved in `mind-reading' are complex. One explanation of such…

Computer Vision and Pattern Recognition · Computer Science 2019-11-05 Jonathan Vitale , Mary-Anne Williams , Benjamin Johnston , Giuseppe Boccignone

Learning-based control methods typically assume stationary system dynamics, an assumption often violated in real-world systems due to drift, wear, or changing operating conditions. We study reinforcement learning for control under…

Machine Learning · Computer Science 2026-04-03 Klemens Iten , Bruce Lee , Chenhao Li , Lenart Treven , Andreas Krause , Bhavya Sukhija

We analyze the scaled voter model, which is a generalization of the noisy voter model with time-dependent herding behavior. We consider the case when the intensity of herding behavior grows as a power-law function of time. In this case, the…

Statistical Mechanics · Physics 2023-02-14 Rytis Kazakevičius , Aleksejus Kononovicius

Many of language models' impressive capabilities originate from their in-context learning: based on instructions or examples, they can infer and perform new tasks without weight updates. In this work, we investigate when representations for…

Computation and Language · Computer Science 2025-12-03 Yuxuan Li , Declan Campbell , Stephanie C. Y. Chan , Andrew Kyle Lampinen

Replay in neural networks involves training on sequential data with memorized samples, which counteracts forgetting of previous behavior caused by non-stationarity. We present a method where these auxiliary samples are generated on the fly,…

Machine Learning · Computer Science 2020-12-15 Xu Ji , Joao Henriques , Tinne Tuytelaars , Andrea Vedaldi