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Cognitive maps provide a powerful framework for understanding spatial and abstract reasoning in biological and artificial agents. While recent computational models link cognitive maps to hippocampal-entorhinal mechanisms, they often rely on…

Neurons and Cognition · Quantitative Biology 2025-10-07 E. A. Dzhivelikian , A. I. Panov

How can we perform knowledge reasoning over temporal knowledge graphs (TKGs)? TKGs represent facts about entities and their relations, where each fact is associated with a timestamp. Reasoning over TKGs, i.e., inferring new facts from…

Machine Learning · Computer Science 2022-02-17 Namyong Park , Fuchen Liu , Purvanshi Mehta , Dana Cristofor , Christos Faloutsos , Yuxiao Dong

Memory enables Large Language Model (LLM) agents to perceive, store, and use information from past dialogues, which is essential for personalization. However, existing methods fail to properly model the temporal dimension of memory in two…

Artificial Intelligence · Computer Science 2026-01-13 Miao Su , Yucan Guo , Zhongni Hou , Long Bai , Zixuan Li , Yufei Zhang , Guojun Yin , Wei Lin , Xiaolong Jin , Jiafeng Guo , Xueqi Cheng

In the last few years, there has been a surge of interest in learning representations of entitiesand relations in knowledge graph (KG). However, the recent availability of temporal knowledgegraphs (TKGs) that contain time information for…

Computation and Language · Computer Science 2020-10-27 Chengjin Xu , Mojtaba Nayyeri , Fouad Alkhoury , Hamed Shariat Yazdi , Jens Lehmann

We introduce the idea of temporal graphs, a representation that encodes temporal data into graphs while fully retaining the temporal information of the original data. This representation lets us explore the dynamic temporal properties of…

Physics and Society · Physics 2013-06-06 Vassilis Kostakos

Many forms of dependence manifest themselves over time, with behavior of variables in dynamical systems as a paradigmatic example. This paper studies temporal dependence in dynamical systems from a logical perspective, by enriching a…

Logic in Computer Science · Computer Science 2024-03-29 Alexandru Baltag , Johan van Benthem , Dazhu Li

In model-based reinforcement learning, generative and temporal models of environments can be leveraged to boost agent performance, either by tuning the agent's representations during training or via use as part of an explicit planning…

Knowledge graphs have emerged as an effective tool for managing and standardizing semistructured domain knowledge in a human- and machine-interpretable way. In terms of graph-based domain applications, such as embeddings and graph neural…

Artificial Intelligence · Computer Science 2022-07-21 Franz Krause , Tobias Weller , Heiko Paulheim

Temporal networks allow representing connections between objects while incorporating the temporal dimension. While static network models can capture unchanging topological regularities, they often fail to model the effects associated with…

Machine Learning · Computer Science 2025-07-11 Mathilde Perez , Raphaël Romero , Bo Kang , Tijl De Bie , Jefrey Lijffijt , Charlotte Laclau

Inspired by the dissipative quantum model of brain, we model the states of neural nets in terms of collective modes by the help of the formalism of Quantum Field Theory. We exhibit an explicit neural net model which allows to memorize a…

Quantum Physics · Physics 2007-05-23 Eliano Pessa , Giuseppe Vitiello

Multi-hop logical reasoning over knowledge graph (KG) plays a fundamental role in many artificial intelligence tasks. Recent complex query embedding (CQE) methods for reasoning focus on static KGs, while temporal knowledge graphs (TKGs)…

Machine Learning · Computer Science 2023-10-17 Xueyuan Lin , Chengjin Xu , Haihong E , Fenglong Su , Gengxian Zhou , Tianyi Hu , Ningyuan Li , Mingzhi Sun , Haoran Luo

Time series forecasting is foundational in scientific and technological domains, from climate modelling to molecular dynamics. Classical approaches have significantly advanced sequential prediction, including autoregressive models and deep…

Quantum Physics · Physics 2025-06-03 Mostafizur Rahaman Laskar , Richa Goel

Linear Response theory aims to predict how added forcing alters the statistical properties of an unforced system. These kinds of questions have been studied predominantly for autonomous dynamical systems, yet many systems in the physical,…

Dynamical Systems · Mathematics 2026-04-07 Stefano Galatolo , Valerio Lucarini

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

We demonstrate the first Recurrent Neural Network architecture for learning Signal Temporal Logic formulas, and present the first systematic comparison of formula inference methods. Legacy systems embed much expert knowledge which is not…

Machine Learning · Computer Science 2022-08-11 Nicole Fronda , Houssam Abbas

This book introduces a temporal type theory, the first of its kind as far as we know. It is based on a standard core, and as such it can be formalized in a proof assistant such as Coq or Lean by adding a number of axioms. Well-known…

Category Theory · Mathematics 2017-12-27 Patrick Schultz , David I. Spivak

We propose a model of processing of information in the brain which has the following distinguishing features: a). It is quantum-like (QL). The brain uses the quantum rule (given by von Neumann trace formula) for calculation of averages for…

Neurons and Cognition · Quantitative Biology 2010-08-03 Andrei Yu. Khrennikov

The Hopfield model provides a mathematically idealized yet insightful framework for understanding the mechanisms of memory storage and retrieval in the human brain. This model has inspired four decades of extensive research on learning and…

Neurons and Cognition · Quantitative Biology 2025-05-14 Simone Betteti , Giacomo Baggio , Francesco Bullo , Sandro Zampieri

We consider the problem of modeling temporal textual data taking endogenous and exogenous processes into account. Such text documents arise in real world applications, including job advertisements and economic news articles, which are…

Computation and Language · Computer Science 2016-07-06 Baiyang Wang , Diego Klabjan

Event schemas encode knowledge of stereotypical structures of events and their connections. As events unfold, schemas are crucial to act as a scaffolding. Previous work on event schema induction focuses either on atomic events or linear…

Artificial Intelligence · Computer Science 2022-05-02 Manling Li , Sha Li , Zhenhailong Wang , Lifu Huang , Kyunghyun Cho , Heng Ji , Jiawei Han , Clare Voss
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