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Memories are stored, retained, and recollected through complex, coupled processes operating on multiple timescales. To understand the computational principles behind these intricate networks of interactions we construct a broad class of…

Neurons and Cognition · Quantitative Biology 2015-07-29 Marcus K. Benna , Stefano Fusi

Neural networks often learn simple explanations that fit the majority of the data while memorizing exceptions that deviate from these explanations.This behavior leads to poor generalization when the learned explanations rely on spurious…

Machine Learning · Computer Science 2024-12-11 Reza Bayat , Mohammad Pezeshki , Elvis Dohmatob , David Lopez-Paz , Pascal Vincent

Face-to-face interaction networks describe social interactions in human gatherings, and are the substrate for processes such as epidemic spreading and gossip propagation. The bursty nature of human behavior characterizes many aspects of…

Physics and Society · Physics 2013-04-24 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

We consider the problem of adaptive inference on a regression function at a point under a multivariate nonparametric regression setting. The regression function belongs to a H\"older class and is assumed to be monotone with respect to some…

Statistics Theory · Mathematics 2020-12-01 Koohyun Kwon , Soonwoo Kwon

Adaptive response to a varying environment is a common feature of biological organisms. Reproducing such features in electronic systems and circuits is of great importance for a variety of applications. Here, we consider memory models…

Cell Behavior · Quantitative Biology 2013-10-29 Fabio Lorenzo Traversa , Yuriy V. Pershin , Massimiliano Di Ventra

Animals behave adaptively in the environment with multiply competing goals. Understanding of the mechanisms underlying such goal-directed behavior remains a challenge for neuroscience as well for adaptive system research. To address this…

Neural and Evolutionary Computing · Computer Science 2012-04-17 Konstantin Lakhman , Mikhail Burtsev

Behaviour change lies at the heart of many observable collective phenomena such as the transmission and control of infectious diseases, adoption of public health policies, and migration of animals to new habitats. Representing the process…

Quantitative Methods · Quantitative Biology 2025-09-03 Roben Delos Reyes , Hugo Lyons Keenan , Cameron Zachreson

Travel behaviour modellers have an increasingly diverse set of models at their disposal, ranging from traditional econometric structures to models from mathematical psychology and data-driven approaches from machine learning. A key question…

Econometrics · Economics 2026-04-15 Stephane Hess , Sander van Cranenburgh

An integer-valued moving average (INMA) model for count random fields is proposed and investigated. Closed-form expressions are derived for both its marginal distribution and spatial dependence structure, for arbitrary model order and also…

Statistics Theory · Mathematics 2026-05-25 Angelika Silbernagel , Christian H. Weiß

Dynamic networks exhibit temporal patterns that vary across different time scales, all of which can potentially affect processes that take place on the network. However, most data-driven approaches used to model time-varying networks…

Physics and Society · Physics 2017-12-27 Tiago P. Peixoto , Laetitia Gauvin

Missing values arise in most real-world data sets due to the aggregation of multiple sources and intrinsically missing information (sensor failure, unanswered questions in surveys...). In fact, the very nature of missing values usually…

Machine Learning · Statistics 2022-02-04 Alexis Ayme , Claire Boyer , Aymeric Dieuleveut , Erwan Scornet

We propose a minimal yet intriguing model for a relationship between two individuals. The feeling of an individual is modeled by a complex variable and hence has two degrees of freedom. The effect of memory of other individual's behavior in…

Adaptation and Self-Organizing Systems · Physics 2023-08-17 Aarsh Chotalia , Shiva Dixit , P. Parmananda

We provide adaptive confidence intervals on a parameter of interest in the presence of nuisance parameters when some of the nuisance parameters have known signs. The confidence intervals are adaptive in the sense that they tend to be short…

Econometrics · Economics 2021-09-20 Philipp Ketz , Adam McCloskey

Simon's classical random-copying model, introduced in 1955, has garnered much attention for its ability, in spite of an apparent simplicity, to produce characteristics similar to those observed across the spectrum of complex systems.…

Physics and Society · Physics 2021-11-03 Joseph D. O'Brien , James P. Gleeson

Learning under one-sided feedback (i.e., where we only observe the labels for examples we predicted positively on) is a fundamental problem in machine learning -- applications include lending and recommendation systems. Despite this, there…

Machine Learning · Computer Science 2020-10-14 Heinrich Jiang , Qijia Jiang , Aldo Pacchiano

Log-linear models are typically fitted to contingency table data to describe and identify the relationship between different categorical variables. However, the data may include observed zero cell entries. The presence of zero cell entries…

Methodology · Statistics 2022-12-01 Serveh Sharifi Far , Michail Papathomas , Ruth King

Humans can continuously learn new knowledge. However, machine learning models suffer from drastic dropping in performance on previous tasks after learning new tasks. Cognitive science points out that the competition of similar knowledge is…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Runqi Wang , Yuxiang Bao , Baochang Zhang , Jianzhuang Liu , Wentao Zhu , Guodong Guo

Language model representations often contain linear directions that correspond to high-level concepts. Here, we study the dynamics of these representations: how representations evolve along these dimensions within the context of (simulated)…

Computation and Language · Computer Science 2026-02-04 Andrew Kyle Lampinen , Yuxuan Li , Eghbal Hosseini , Sangnie Bhardwaj , Murray Shanahan

Memory-augmented LLM agents offer an appealing shortcut to continual learning: rather than updating model parameters, they accumulate experience in external memory, seemingly sidestepping the stability-plasticity dilemma of parametric…

Machine Learning · Computer Science 2026-05-01 Qisheng Hu , Quanyu Long , Wenya Wang

We investigate opinion dynamics based on an agent-based model, and are interested in predicting the evolution of the percentages of the entire agent population that share an opinion. Since these opinion percentages can be seen as an…

Dynamical Systems · Mathematics 2021-02-03 Niklas Wulkow , Péter Koltai , Christof Schütte