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This paper proposes a probabilistic motion prediction method for long motions. The motion is predicted so that it accomplishes a task from the initial state observed in the given image. While our method evaluates the task achievability by…

Computer Vision and Pattern Recognition · Computer Science 2024-03-08 Takeru Oba , Norimichi Ukita

The study of animal movement is challenging because it is a process modulated by many factors acting at different spatial and temporal scales. Several models have been proposed which differ primarily in the temporal conceptualization,…

Robots rely on motion planning to navigate safely and efficiently while performing various tasks. In this paper, we investigate motion planning through Bayesian inference, where motion plans are inferred based on planning objectives and…

Robotics · Computer Science 2025-06-02 Ali Vaziri , Iman Askari , Huazhen Fang

We consider the problem of performing Bayesian inference for logistic regression using appropriate extensions of the ensemble Kalman filter. Two interacting particle systems are proposed that sample from an approximate posterior and prove…

Machine Learning · Statistics 2024-07-02 Diksha Bhandari , Jakiw Pidstrigach , Sebastian Reich

In this paper we study the emergence of coherence in collective motion described by a system of interacting motiles endowed with an inner, adaptative, steering mechanism. By means of a nonlinear parametric coupling, the system elements are…

Chaotic Dynamics · Physics 2015-05-19 Anselmo Garcia Cantu Ros , Chris Antonopoulos , Vasileios Basios

Spatiotemporal pairwise movement analysis involves identifying shared geographic-based behaviors between individuals within specific time frames. Traditionally, this task relies on sequence modeling and behavior analysis techniques applied…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Maria Cardei , Sabit Ahmed , Gretchen Chapman , Afsaneh Doryab

Real-time computational speed and a high degree of precision are requirements for computer-assisted interventions. Applying a segmentation network to a medical video processing task can introduce significant inter-frame prediction noise.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Robert Mendel , Tobias Rueckert , Dirk Wilhelm , Daniel Rueckert , Christoph Palm

Spatiotemporal flows of neural activity, such as traveling waves, have been observed throughout the brain since the earliest recordings; yet there is still little consensus on their functional role. Recent experiments and models have linked…

Neurons and Cognition · Quantitative Biology 2026-02-03 T. Anderson Keller , Lyle Muller , Terrence J. Sejnowski , Max Welling

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

Applications · Statistics 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

The celebrated Takens' embedding theorem provides a theoretical foundation for reconstructing the full state of a dynamical system from partial observations. However, the classical theorem assumes that the underlying system is deterministic…

Dynamical Systems · Mathematics 2025-11-07 Jonah Botvinick-Greenhouse , Maria Oprea , Romit Maulik , Yunan Yang

This work presents a non-parametric spatio-temporal model for mapping human activity by mobile autonomous robots in a long-term context. Based on Variational Gaussian Process Regression, the model incorporates prior information of spatial…

Robotics · Computer Science 2022-07-12 Marvin Stuede , Moritz Schappler

Space-time correlation functions constitute a useful instrument from the research toolkit of continuous-media and many-body physics. We adopt here this concept for single-particle random walks and demonstrate that the corresponding…

Statistical Mechanics · Physics 2013-04-30 V. Zaburdaev , S. Denisov , P. Hanggi

The performance of tracking algorithms strongly depends on the chosen model assumptions regarding the target dynamics. If there is a strong mismatch between the chosen model and the true object motion, the track quality may be poor or the…

Machine Learning · Statistics 2024-10-15 Isabel Schlangen , André Brandenburger , Mengwei Sun , James R. Hopgood

The accurate visual tracking of a moving object is a human fundamental skill that allows to reduce the relative slip and instability of the object's image on the retina, thus granting a stable, high-quality vision. In order to optimize…

Neurons and Cognition · Quantitative Biology 2016-11-24 Anna Montagnini , Laurent Perrinet , Guillaume S Masson

One-shot pose estimation for tasks such as body joint localization, camera pose estimation, and object tracking are generally noisy, and temporal filters have been extensively used for regularization. One of the most widely-used methods is…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Huseyin Coskun , Felix Achilles , Robert DiPietro , Nassir Navab , Federico Tombari

Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

To maximize future rewards in this ever-changing world, animals must be able to discover the temporal structure of stimuli and then anticipate or act correctly at the right time. How the animals perceive, maintain, and use time intervals…

Neurons and Cognition · Quantitative Biology 2020-07-08 Zedong Bi , Changsong Zhou

Influenced mixed moving average fields are a versatile modeling class for spatio-temporal data. However, their predictive distribution is not generally known. Under this modeling assumption, we define a novel spatio-temporal embedding and a…

Machine Learning · Statistics 2024-08-05 Imma Valentina Curato , Orkun Furat , Lorenzo Proietti , Bennet Stroeh

The aim of this article is to present a novel parallelization method for temporal Gaussian process (GP) regression problems. The method allows for solving GP regression problems in logarithmic O(log N) time, where N is the number of time…

Machine Learning · Computer Science 2021-05-18 Adrien Corenflos , Zheng Zhao , Simo Särkkä

The evolution of many dynamical systems that describe relationships or interactions between objects can be effectively modeled by temporal networks, which are typically represented as a sequence of static network snapshots. In this paper,…

Social and Information Networks · Computer Science 2025-07-11 Filip Blašković , Tim O. F. Conrad , Stefan Klus , Nataša Djurdjevac Conrad