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Related papers: Backward Simulation for Sets of Trajectories

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Effective trajectory generation is essential for reliable on-board spacecraft autonomy. Among other approaches, learning-based warm-starting represents an appealing paradigm for solving the trajectory generation problem, effectively…

Recovering a stochastic process from noisy ensembles of single particle trajectories (SPTs) is resolved here using the Langevin equation as a model. The massive redundancy contained in SPTs data allows recovering local parameters of the…

Subcellular Processes · Quantitative Biology 2015-11-18 Nathanael Hoze , David Holcman

Compressed sensing allows perfect recovery of sparse signals (or signals sparse in some basis) using only a small number of random measurements. Existing results in compressed sensing literature have focused on characterizing the achievable…

Information Theory · Computer Science 2015-05-18 Dmitry Malioutov , Sujay Sanghavi , Alan Willsky

This paper proposes a Poisson multi-Bernoulli mixture (PMBM) filter for coexisting point and extended targets, i.e., for scenarios where there may be simultaneous point and extended targets. The PMBM filter provides a recursion to compute…

Methodology · Statistics 2021-05-19 Ángel F. García-Fernández , Jason L. Williams , Lennart Svensson , Yuxuan Xia

This paper presents a method to reconstruct dense semantic trajectory stream of human interactions in 3D from synchronized multiple videos. The interactions inherently introduce self-occlusion and illumination/appearance/shape changes,…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Jae Shin Yoon , Ziwei Li , Hyun Soo Park

Linear trajectory models provide mathematical advantages to autonomous driving applications such as motion prediction. However, linear models' expressive power and bias for real-world trajectories have not been thoroughly analyzed. We…

Machine Learning · Computer Science 2025-05-22 Yue Yao , Daniel Goehring , Joerg Reichardt

Realistic aircraft trajectory models are useful in the design and validation of air traffic management (ATM) systems. Models of aircraft operated under instrument flight rules (IFR) require capturing the variability inherent in how aircraft…

Machine Learning · Computer Science 2025-05-29 Soyeon Jung , Amelia Hardy , Mykel J. Kochenderfer

Current reinforcement learning algorithms train an agent using forward-generated trajectories, which provide little guidance so that the agent can explore as much as possible. While realizing the value of reinforcement learning results from…

Artificial Intelligence · Computer Science 2023-09-06 KyungMin Ko

This paper discusses an approach for incorporating prior physical knowledge into the neural network to improve data efficiency and the generalization of predictive models. If the dynamics of a system approximately follows a given…

Neural and Evolutionary Computing · Computer Science 2020-05-29 Andrei Ivanov , Uwe Iben , Anna Golovkina

After decades, the theoretical study of core-collapse supernova explosions is moving from parameterized, spherically symmetric models to increasingly realistic multi-dimensional simulations. Obtaining nucleosynthesis yields based on such…

Based on multiple simulation trajectories, which started from dispersively selected initial conformations, the weighted ensemble dynamics method is designed to robustly and systematically explore the hierarchical structure of complex…

Statistical Mechanics · Physics 2015-05-14 Linchen Gong , Xin Zhou

We present a new transport-based approach to efficiently perform sequential Bayesian inference of static model parameters. The strategy is based on the extraction of conditional distribution from the joint distribution of parameters and…

Methodology · Statistics 2023-08-29 Paul-Baptiste Rubio , Youssef Marzouk , Matthew Parno

In this document, a neural network is employed in order to estimate the solution of the initial value problem in the context of non linear trajectories. Such trajectories can be subject to gravity, thrust, drag, centrifugal force,…

Machine Learning · Computer Science 2021-07-21 Theodoros Ntakouris

Multi-shot pedestrian re-identification problem is at the core of surveillance video analysis. It matches two tracks of pedestrians from different cameras. In contrary to existing works that aggregate single frames features by time series…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Jianfu Zhang , Naiyan Wang , Liqing Zhang

We consider the inverse problem of reconstructing an unknown function $u$ from a finite set of measurements, under the assumption that $u$ is the trajectory of a transport-dominated problem with unknown input parameters. We propose an…

Numerical Analysis · Mathematics 2024-11-12 Olga Mula , Cecilia Pagliantini , Federico Vismara

We propose a trajectory-based quasiclassical method for approximating dynamics in condensed phase systems. Building upon the previously developed Optimized Mean Trajectory (OMT) approximation that has been used to compute linear and…

Chemical Physics · Physics 2024-08-23 Kritanjan Polley

Data-driven simulation of pedestrian dynamics is an incipient and promising approach for building reliable microscopic pedestrian models. We propose a methodology based on generalized regression neural networks, which does not have to deal…

Physics and Society · Physics 2019-07-19 Rafael F. Martin , Daniel R. Parisi

In many domains, we are interested in analyzing the structure of the underlying distribution, e.g., whether one variable is a direct parent of the other. Bayesian model-selection attempts to find the MAP model and use its structure to…

Machine Learning · Computer Science 2013-01-18 Nir Friedman , Daphne Koller

We analyze the performance of different resampling strategies for the regularized particle filter regarding parameter estimation. We show in particular, building on analytical insight obtained in the linear Gaussian case, that resampling…

Computation · Statistics 2017-05-12 Pierre Carmier , Olexiy Kyrgyzov , Paul-Henry Cournède

Accumulating substantial volumes of real-world driving data proves pivotal in the realm of trajectory forecasting for autonomous driving. Given the heavy reliance of current trajectory forecasting models on data-driven methodologies, we aim…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Yiheng Li , Seth Z. Zhao , Chenfeng Xu , Chen Tang , Chenran Li , Mingyu Ding , Masayoshi Tomizuka , Wei Zhan