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We investigate a correspondence between two formalisms for discrete probabilistic modeling: probabilistic graphical models (PGMs) and tensor networks (TNs), a powerful modeling framework for simulating complex quantum systems. The graphical…

Machine Learning · Statistics 2021-07-01 Jacob Miller , Geoffrey Roeder , Tai-Danae Bradley

Probabilistic graphical models (PGMs) have become a popular tool for computational analysis of biological data in a variety of domains. But, what exactly are they and how do they work? How can we use PGMs to discover patterns that are…

Quantitative Methods · Quantitative Biology 2010-02-22 Edoardo M Airoldi

Forecasting the scalable future states of surrounding traffic participants in complex traffic scenarios is a critical capability for autonomous vehicles, as it enables safe and feasible decision-making. Recent successes in learning-based…

Robotics · Computer Science 2023-05-08 Haochen Liu , Zhiyu Huang , Chen Lv

Efficient path planning and navigation is critical for animals, robotics, logistics and transportation. We study a model in which spatial navigation problems can rapidly be solved in the brain by parallel mental exploration of alternative…

Neurons and Cognition · Quantitative Biology 2012-05-03 Filip Ponulak , John J. Hopfield

This paper presents a method for estimating the hallucination rate for in-context learning (ICL) with generative AI. In ICL, a conditional generative model (CGM) is prompted with a dataset and a prediction question and asked to generate a…

Current theories suggest that adaptive decision-making necessitates the interaction between multiple decision-making systems. The computational definitions of different models of decision-making suggest interactions with task demands and…

Neurons and Cognition · Quantitative Biology 2023-07-28 Ugurcan Mugan , Seiichiro Amemiya , Paul S. Regier , A. David Redish

The mammalian hippocampus plays a principal role in producing a cognitive map of space---an internalized representation of the animal's environment. The neuronal mechanisms producing this map depend primarily on the temporal structure of…

Neurons and Cognition · Quantitative Biology 2016-03-22 Edward Basso , Mamiko Arai , Yuri Dabaghian

Despite the recent advancements in artificial intelligence technologies have shown great potential in improving transport efficiency and safety, autonomous vehicles(AVs) still face great challenge of driving in time-varying traffic flow,…

Artificial Intelligence · Computer Science 2025-06-18 Xiao Wang , Junru Yu , Jun Huang , Qiong Wu , Ljubo Vacic , Changyin Sun

The Hamiltonian formalism plays a central role in classical and quantum physics. Hamiltonians are the main tool for modelling the continuous time evolution of systems with conserved quantities, and they come equipped with many useful…

Machine Learning · Computer Science 2020-02-17 Peter Toth , Danilo Jimenez Rezende , Andrew Jaegle , Sébastien Racanière , Aleksandar Botev , Irina Higgins

The problem of time-series forecasting in non-stationary and complex environments is a challenging task in machine learning, especially with heterogeneous numerical and textual data present. Traditional statistical models like…

Statistical Finance · Quantitative Finance 2026-05-05 Alexis Lazanas , Spyridon Karpouzis

Traditional rule-based physical models are limited by their reliance on singular physical formulas and parameters, making it difficult to effectively tackle the intricate tasks associated with crowd simulation. Recent research has…

Artificial Intelligence · Computer Science 2024-10-22 Runkang Guo , Bin Chen , Qi Zhang , Yong Zhao , Xiao Wang , Zhengqiu Zhu

Standard model-free reinforcement learning algorithms optimize a policy that generates the action to be taken in the current time step in order to maximize expected future return. While flexible, it faces difficulties arising from the…

Machine Learning · Computer Science 2022-02-07 Haichao Zhang , Wei Xu , Haonan Yu

Accurate online map matching is fundamental to vehicle navigation and the activation of intelligent driving functions. Current online map matching methods are prone to errors in complex road networks, especially in multilevel road area. To…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Xin Bi , Zhichao Li , Yuxuan Xia , Panpan Tong , Lijuan Zhang , Yang Chen , Junsheng Fu

This paper introduces a new probabilistic architecture called Sum-Product Graphical Model (SPGM). SPGMs combine traits from Sum-Product Networks (SPNs) and Graphical Models (GMs): Like SPNs, SPGMs always enable tractable inference using a…

Machine Learning · Statistics 2017-08-23 Mattia Desana , Christoph Schnörr

Large language models (LLMs) power many interactive systems such as chatbots, customer-service agents, and personal assistants. In knowledge-intensive scenarios requiring user-specific personalization, conventional retrieval-augmented…

Artificial Intelligence · Computer Science 2026-01-13 Hailong Li , Feifei Li , Wenhui Que , Xingyu Fan

Humans construct internal cognitive maps of their environment directly from sensory inputs without access to a system of explicit coordinates or distance measurements. While machine learning algorithms like SLAM utilize specialized visual…

Neurons and Cognition · Quantitative Biology 2024-04-19 James Gornet , Matthew Thomson

Hearing Aid (HA) algorithms need to be tuned ("fitted") to match the impairment of each specific patient. The lack of a fundamental HA fitting theory is a strong contributing factor to an unsatisfying sound experience for about 20% of…

Machine Learning · Statistics 2016-09-07 Thijs van de Laar , Bert de Vries

Schemas -- abstract relational structures that capture the commonalities across experiences -- are thought to underlie humans' and animals' ability to rapidly generalize knowledge, rebind new experiences to existing structures, and flexibly…

Neurons and Cognition · Quantitative Biology 2026-03-17 Toon Van de Maele , Tim Verbelen , Dileep George , Giovanni Pezzulo

Understanding the relationship between cognition and intrinsic brain activity through purely data-driven approaches remains a significant challenge in neuroscience. Resting-state functional magnetic resonance imaging (rs-fMRI) offers a…

Machine Learning · Computer Science 2024-11-01 Yutong Gao , Vince D. Calhoun , Robyn L. Miller

Living organisms need to acquire both cognitive maps for learning the structure of the world and planning mechanisms able to deal with the challenges of navigating ambiguous environments. Although significant progress has been made in each…

Artificial Intelligence · Computer Science 2023-08-17 Toon Van de Maele , Bart Dhoedt , Tim Verbelen , Giovanni Pezzulo