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We extend Neural Processes (NPs) to sequential data through Recurrent NPs or RNPs, a family of conditional state space models. RNPs model the state space with Neural Processes. Given time series observed on fast real-world time scales but…

Machine Learning · Computer Science 2019-11-07 Timon Willi , Jonathan Masci , Jürgen Schmidhuber , Christian Osendorfer

Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

Statistical Mechanics · Physics 2025-12-10 Marc Besse , Raphaël Voituriez

Interacting-Particle Reaction Dynamics (iPRD) simulates the spatiotemporal evolution of particles that experience interaction forces and can react with one another. The combination of interaction forces and reactions enable a wide range of…

Chemical Physics · Physics 2018-07-20 Christoph Fröhner , Frank Noé

Recent advances in micro- and nano-technologies allow the construction of complex active systems from biological and synthetic materials. An interesting example is active vesicles, which consist of a membrane enclosing self-propelled…

Soft Condensed Matter · Physics 2024-06-04 Priyanka Iyer , Gerhard Gompper , Dmitry A. Fedosov

Optimization of radio hardware and AI-based network management software yield significant energy savings in radio access networks. The execution of underlying Machine Learning (ML) models, which enable energy savings through recommended…

Machine Learning · Computer Science 2025-04-04 Selim Ickin , Shruti Bothe , Aman Raparia , Nitin Khanna , Erik Sanders

Based on Brownian dynamics simulations we study the collective behavior of a twodimensional system of repulsively interacting colloidal particles, where each particle is propelled by a repulsive feedback force with time delay $\tau$.…

Soft Condensed Matter · Physics 2023-07-12 Robin A. Kopp , Sabine H. L. Klapp

The two-dimensional Active Brownian Particles system is meant to be composed of hard disks, that show excluded volume interactions, usually simulated via molecular dynamics using pure repulsive potentials. We show that the softness of the…

We investigate exploration patterns of a microswimmer, modeled as an active Brownian particle, searching for a target region located in a well of an energy landscape and separated from the initial position of the particle by high barriers.…

Soft Condensed Matter · Physics 2021-09-02 Luigi Zanovello , Pietro Faccioli , Thomas Franosch , Michele Caraglio

We present the first exact simulation method for multidimensional reflected Brownian motion (RBM). Exact simulation in this setting is challenging because of the presence of correlated local-time-like terms in the definition of RBM. We…

Probability · Mathematics 2017-08-31 Jose Blanchet , Karthyek R. A. Murthy

Chiral active Brownian particles (CABPs) are self-propelled agents with intrinsic rotational dynamics, giving rise to circular trajectories commonly observed in biological and synthetic microswimmers. Understanding how CABPs explore…

Soft Condensed Matter · Physics 2026-05-25 Sarafa A. Iyaniwura , Mingfeng Qiu , Zhiwei Peng

Humans learn efficiently from their environment by engaging multiple interacting neural systems that support distinct yet complementary forms of control, including model-based (goal-directed) planning, model-free (habitual) responding, and…

Machine Learning · Computer Science 2026-02-02 Babak Shahbaba , Zahra Moslemi

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

Analysis of PDEs · Mathematics 2020-09-03 Delphine Salort , Nicolas Torres

Active Brownian particles (ABPs) represent a minimal model of active matter consisting of self-propelled spheres with purely repulsive interactions and rotational noise. Here, we examine the pressure of ABPs in two dimensions in both closed…

Soft Condensed Matter · Physics 2017-01-11 Adam Patch , David Yllanes , M. Cristina Marchetti

We set up a mesoscopic theory for interacting Brownian particles embedded in a nonequilibrium environment, starting from the microscopic interacting many-body theory. Using nonequilibrium linear response theory, we characterize the…

Statistical Mechanics · Physics 2017-01-04 Stefano Steffenoni , Klaus Kroy , Gianmaria Falasco

We analyze the trapping of diffusing ligands, modeled as Brownian particles, by a sphere that has $N$ partially reactive boundary patches, each of small area and arbitrary shape, on an otherwise reflecting boundary. For such a structured…

Analysis of PDEs · Mathematics 2026-01-08 Denis S. Grebenkov , Michael J. Ward

By introducing the notion of a dynamic overlap concentration scale, we identify universal and previously unreported features of the mechanical properties of active colloids. These features are codified by recognizing that the characteristic…

Soft Condensed Matter · Physics 2021-11-10 Stewart A. Mallory , Ahmad K. Omar , John F. Brady

Reactive motion generation in dynamic and unstructured scenarios is typically subject to essentially static perception and system dynamics. Reliably modeling dynamic obstacles and optimizing collision-free trajectories under perceptive and…

Robotics · Computer Science 2026-02-19 Xiyuan Zhao , Huijun Li , Lifeng Zhu , Zhikai Wei , Xianyi Zhu , Aiguo Song

Numerical algorithms are proposed for simulating the Brownian dynamics of charged particles in an external magnetic field, taking into account the Brownian motion of charged particles, damping effect and the effect of magnetic field…

Computational Physics · Physics 2009-05-21 L. J. Hou , Z. L. Mišković , A. Piel , P. K. Shukla

Based on analytical and numerical calculations we study the dynamics of an overdamped colloidal particle moving in two dimensions under time-delayed, non-linear feedback control. Specifically, the particle is subject to a force derived from…

Soft Condensed Matter · Physics 2025-03-07 Robin A. Kopp , Sabine H. L. Klapp

We present a scheme for producing tunable active dynamics in a self-propelled robotic device. The robot moves using the differential drive mechanism where two wheels can vary their instantaneous velocities independently. These velocities…

Soft Condensed Matter · Physics 2024-05-27 Somnath Paramanick , Arnab Pal , Harsh Soni , Nitin Kumar
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