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Mathematical models of cognition are often memoryless and ignore potential fluctuations of their parameters. However, human cognition is inherently dynamic. Thus, we propose to augment mechanistic cognitive models with a temporal dimension…

统计方法学 · 统计学 2023-09-21 Lukas Schumacher , Paul-Christian Bürkner , Andreas Voss , Ullrich Köthe , Stefan T. Radev

Models for predicting aircraft motion are an important component of modern aeronautical systems. These models help aircraft plan collision avoidance maneuvers and help conduct offline performance and safety analyses. In this article, we…

机器学习 · 计算机科学 2018-10-24 Shane Barratt , Mykel Kochenderfer , Stephen Boyd

Time series forecasting has always been a thought-provoking topic in the field of machine learning. Machine learning scientists define a time series as a set of observations recorded over consistent time steps. And, time series forecasting…

量子物理 · 物理学 2022-07-19 Payal Kaushik , Sayantan Pramanik , M Girish Chandra , C V Sridhar

Coordination of dynamical routes can alleviate traffic congestion and is essential for the coming era of autonomous self-driving cars. However, dynamical route coordination is difficult and many existing routing protocols are either static…

统计力学 · 物理学 2019-04-24 Chi Ho Yeung

Forecasting the future trajectories of surrounding agents is crucial for autonomous vehicles to ensure safe, efficient, and comfortable route planning. While model ensembling has improved prediction accuracy in various fields, its…

机器学习 · 计算机科学 2024-09-23 Aron Distelzweig , Eitan Kosman , Andreas Look , Faris Janjoš , Denesh K. Manivannan , Abhinav Valada

As autonomous driving technology progresses, the need for precise trajectory prediction models becomes paramount. This paper introduces an innovative model that infuses cognitive insights into trajectory prediction, focusing on perceived…

机器人学 · 计算机科学 2024-04-29 Haicheng Liao , Zhenning Li , Chengyue Wang , Bonan Wang , Hanlin Kong , Yanchen Guan , Guofa Li , Zhiyong Cui , Chengzhong Xu

Bifurcations can cause dynamical systems with slowly varying parameters to transition to far-away attractors. The terms ``critical transition'' or ``tipping point'' have been used to describe this situation. Critical transitions have been…

动力系统 · 数学 2015-03-17 Christian Kuehn

In collaborative environments, a deep understanding of multi-human teaming dynamics is essential for optimizing performance. However, the relationship between individuals' behavioral and physiological markers and their combined influence on…

神经元与认知 · 定量生物学 2025-01-28 Yinuo Qin , Richard T. Lee , Weijia Zhang , Xiaoxiao Sun , Paul Sajda

We introduce a path sampling method for obtaining statistical properties of an arbitrary stochastic dynamics. The method works by decomposing a trajectory in time, estimating the probability of satisfying a progress constraint, modifying…

统计力学 · 物理学 2015-06-04 Nicholas Guttenberg , Aaron R. Dinner , Jonathan Weare

Latent variable models have been playing a central role in psychometrics and related fields. In many modern applications, the inference based on latent variable models involves one or several of the following features: (1) the presence of…

统计方法学 · 统计学 2025-01-08 Siliang Zhang , Yunxiao Chen

Understanding human motion is crucial for accurate pedestrian trajectory prediction. Conventional methods typically rely on supervised learning, where ground-truth labels are directly optimized against predicted trajectories. This amplifies…

计算机视觉与模式识别 · 计算机科学 2025-04-01 Yizhou Huang , Yihua Cheng , Kezhi Wang

Neural Stochastic Differential Equations model a dynamical environment with neural nets assigned to their drift and diffusion terms. The high expressive power of their nonlinearity comes at the expense of instability in the identification…

机器学习 · 计算机科学 2021-03-01 Manuel Haussmann , Sebastian Gerwinn , Andreas Look , Barbara Rakitsch , Melih Kandemir

This article proposes an improved trajectory optimization approach for stochastic optimal control of dynamical systems affected by measurement noise by combining optimal control with maximum likelihood techniques to improve the reduction of…

系统与控制 · 电气工程与系统科学 2023-12-25 Prakash Mallick , Zhiyong Chen

Pedestrian trajectory prediction is essential for collision avoidance in autonomous driving and robot navigation. However, predicting a pedestrian's trajectory in crowded environments is non-trivial as it is influenced by other pedestrians'…

计算机视觉与模式识别 · 计算机科学 2019-02-15 Sirin Haddad , Meiqing Wu , He Wei , Siew Kei Lam

After collecting data from observations or experiments, the next step is to build an appropriate mathematical or stochastic model to describe the data so that further studies can be done with the help of the models. In this article, the…

数据分析、统计与概率 · 物理学 2023-07-19 A. M. Mathai , H. J. Haubold

As a simple and robust mobile robot base, differential drive robots that can be modelled as a kinematic unicycle find significant applications in logistics and service robotics in both industrial and domestic settings. Safe robot navigation…

机器人学 · 计算机科学 2023-08-01 Aykut İşleyen , Nathan van de Wouw , Ömür Arslan

Inference on unknown quantities in dynamical systems via observational data is essential for providing meaningful insight, furnishing accurate predictions, enabling robust control, and establishing appropriate designs for future…

统计方法学 · 统计学 2018-02-06 M. Chung , M. Binois , R. B. Gramacy , D. J. Moquin , A. P. Smith , A. M. Smith

In this paper, we propose an efficient vehicle trajectory prediction framework based on recurrent neural network. Basically, the characteristic of the vehicle's trajectory is different from that of regular moving objects since it is…

机器学习 · 计算机科学 2017-09-04 ByeoungDo Kim , Chang Mook Kang , Seung Hi Lee , Hyunmin Chae , Jaekyum Kim , Chung Choo Chung , Jun Won Choi

Modeling stochastic dynamics from discrete observations is a key interdisciplinary challenge. Existing methods often fail to estimate the continuous evolution of probability densities from trajectories or face the curse of dimensionality.…

计算工程、金融与科学 · 计算机科学 2025-12-02 Ruikun Li , Jiazhen Liu , Huandong Wang , Qingmin Liao , Yong Li

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

机器学习 · 计算机科学 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey