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Modeling real-world systems requires accounting for noise - whether it arises from unpredictable fluctuations in financial markets, irregular rhythms in biological systems, or environmental variability in ecosystems. While the behavior of…

Machine Learning · Computer Science 2026-04-08 Matteo Bosso , Giovanni Franzese , Kushal Swamy , Maarten Theulings , Alejandro M. Aragón , Farbod Alijani

Inferring dynamical models from low-resolution temporal data continues to be a significant challenge in biophysics, especially within transcriptomics, where separating molecular programs from noise remains an important open problem. We…

Machine Learning · Computer Science 2023-10-05 Victor Chardès , Suryanarayana Maddu , Michael J. Shelley

The transduction process that occurs in the inner ear of the auditory system is a complex mechanism which requires a non-linear dynamical description. In addition to this, the stochastic phenomena that naturally arise in the inner ear…

Physics Education · Physics 2022-01-17 Francesco Veronesi , Edoardo Milotti

Stochastic resonance is a phenomenon where a noise of appropriate intensity enhances the input signal strength. In this work, by employing the recently developed convex optimization methods in the context of dynamical systems and stochastic…

Dynamical Systems · Mathematics 2023-09-22 Minjae Cho

An efficient technique is introduced for model inference of complex nonlinear dynamical systems driven by noise. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 V. N. Smelyanskiy , D. A. Timucin , A. Bandrivskyy , D. G. Luchinsky

Truly intelligent agents need to capture the interplay of all their senses to build a rich physical understanding of their world. In robotics, we have seen tremendous progress in using visual and tactile perception; however, we have often…

Robotics · Computer Science 2020-07-06 Dhiraj Gandhi , Abhinav Gupta , Lerrel Pinto

Stochastic dynamical systems are ubiquitous in physics, biology, and engineering, where both deterministic drifts and random fluctuations govern system behavior. Learning these dynamics from data is particularly challenging in…

Numerical Analysis · Mathematics 2026-03-10 Ziheng Guo , Igor Cialenco , Ming Zhong

We present a noise guided trajectory based system identification method for inferring the dynamical structure from observation generated by stochastic differential equations. Our method can handle various kinds of noise, including the case…

Numerical Analysis · Mathematics 2024-03-06 Ziheng Guo , Igor Cialenco , Ming Zhong

This survey provides a comprehensive overview of the emerging field of world models grounded in the foundation of acoustic physical information. It examines the theoretical underpinnings, essential methodological frameworks, and recent…

Sound · Computer Science 2025-06-18 Xiaoliang Chen , Le Chang , Xin Yu , Yunhe Huang , Xianling Tu

Learning associations across modalities is critical for robust multimodal reasoning, especially when a modality may be missing during inference. In this paper, we study this problem in the context of audio-conditioned visual synthesis -- a…

Computer Vision and Pattern Recognition · Computer Science 2020-07-24 Anoop Cherian , Moitreya Chatterjee , Narendra Ahuja

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

Machine Learning · Computer Science 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai

Deformable object manipulation remains a challenging task in robotics research. Conventional techniques for parameter inference and state estimation typically rely on a precise definition of the state space and its dynamics. While this is…

Robotics · Computer Science 2021-12-10 Rika Antonova , Jingyun Yang , Priya Sundaresan , Dieter Fox , Fabio Ramos , Jeannette Bohg

Noise is usually regarded as adversarial to extract the effective dynamics from time series, such that the conventional data-driven approaches usually aim at learning the dynamics by mitigating the noisy effect. However, noise can have a…

Adaptation and Self-Organizing Systems · Physics 2023-09-12 Zequn Lin , Zhaofan Lu , Zengru Di , Ying Tang

Stochastic differential equations (SDEs) are a ubiquitous modeling framework that finds applications in physics, biology, engineering, social science, and finance. Due to the availability of large-scale data sets, there is growing interest…

Machine Learning · Statistics 2025-03-04 Ziheng Guo , James Greene , Ming Zhong

We study a system whose dynamics are governed by predictions of its future states. A general formalism and concrete examples are presented. We find that the dynamical characteristics depend on how to shape the predictions as well as on how…

Other Condensed Matter · Physics 2015-06-25 Toru Ohira

Stochastic systems with memory naturally appear in life science, economy, and finance. We take the modelling point of view of stochastic functional delay equations and we study these structures when the driving noises admit jumps. Our…

Probability · Mathematics 2016-06-01 D. R. Baños , F. Cordoni , G. Di Nunno , L. Di Persio , E. E. Røse

The thud of a bouncing ball, the onset of speech as lips open -- when visual and audio events occur together, it suggests that there might be a common, underlying event that produced both signals. In this paper, we argue that the visual and…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Andrew Owens , Alexei A. Efros

Acoustic traps use forces exerted by sound waves to confine and transport small objects. The dynamics of an object moving in the force landscape of an acoustic trap can be significantly influenced by the inertia of the surrounding fluid…

Soft Condensed Matter · Physics 2024-03-19 Mia C. Morrell , David G. Grier

Modeling car-following behavior is fundamental to microscopic traffic simulation, yet traditional deterministic models often fail to capture the full extent of variability and unpredictability in human driving. While many modern approaches…

Applications · Statistics 2026-01-30 Chengyuan Zhang , Zhengbing He , Cathy Wu , Lijun Sun

Noise plays a fundamental role in a wide variety of physical and biological dynamical systems. It can arise from an external forcing or due to random dynamics internal to the system. It is well established that even weak noise can result in…

Analysis of PDEs · Mathematics 2019-08-06 Eric Forgoston , Richard O. Moore
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