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Standard selective prediction methods typically estimate uncertainty from the output of a single predictive branch. While effective for general uncertainty estimation, these approaches often struggle under partial observability, where local…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Kartik Jhawar , Yuhao Geng , Atul N. Parikh , Lipo Wang

We propose a physics-informed consistency modeling framework for solving partial differential equations (PDEs) via fast, few-step generative inference. We identify a key stability challenge in physics-constrained consistency training, where…

Machine Learning · Computer Science 2026-02-11 Che-Chia Chang , Chen-Yang Dai , Te-Sheng Lin , Ming-Chih Lai , Chieh-Hsin Lai

This study examines the impact of in-phase schooling on the hydrodynamic efficiency during linear acceleration in a simplified model using two undulating NACA0012 hydrofoils arranged in phalanx formation as a minimal representation of a…

Fluid Dynamics · Physics 2023-12-13 Zhonglu Lin , Dongfang Liang , Yu Zhang

While a rich variety of self-propelled particle models propose to explain the collective motion of fish and other animals, rigorous statistical comparison between models and data remains a challenge. Plausible models should be flexible…

Quantitative Methods · Quantitative Biology 2017-04-28 Maksym Romenskyy , James E. Herbert-Read , Ashley J. W. Ward , David J. T. Sumpter

The complex formations exhibited by schooling fish have long been the object of fascination for biologists and physicists. However, the physical and sensory mechanisms leading to organized collective behavior remain elusive. On the physical…

Fluid Dynamics · Physics 2025-07-09 Anand U. Oza , Eva Kanso , Michael J. Shelley

We introduce a notion of distance between supervised learning problems, which we call the Risk distance. This distance, inspired by optimal transport, facilitates stability results; one can quantify how seriously issues like sampling bias,…

Machine Learning · Computer Science 2025-09-12 Facundo Mémoli , Brantley Vose , Robert C. Williamson

How does the choice of optimization algorithm shape a model's ability to learn features? To address this question for steepest descent methods --including sign descent, which is closely related to Adam --we introduce steepest mirror flows…

Machine Learning · Computer Science 2026-03-03 Tom Jacobs , Chao Zhou , Rebekka Burkholz

Sparse coding in learned dictionaries has been established as a successful approach for signal denoising, source separation and solving inverse problems in general. A dictionary learning method adapts an initial dictionary to a particular…

Machine Learning · Statistics 2012-10-18 Christian D. Sigg , Tomas Dikk , Joachim M. Buhmann

The hazard function represents one of the main quantities of interest in the analysis of survival data. We propose a general approach for parametrically modelling the dynamics of the hazard function using systems of autonomous ordinary…

Methodology · Statistics 2024-07-19 J. A. Christen , F. J. Rubio

Established techniques that enable robots to learn from demonstrations are based on learning a stable dynamical system (DS). To increase the robots' resilience to perturbations during tasks that involve static obstacle avoidance, we propose…

A classic measure of ecological stability describes the tendency of a community to return to equilibrium after small perturbation. While many advances show how the network structure of these communities severely constrains such tendencies,…

Populations and Evolution · Quantitative Biology 2015-06-09 Gang Yan , Neo D. Martinez , Yang-Yu Liu

Classic computational models of collective motion suggest that simple local averaging rules can promote many observed group level patterns. Recent studies, however, suggest that rules simpler than local averaging may be at play in real…

Adaptation and Self-Organizing Systems · Physics 2022-05-19 Vivek Jadhav , Vishwesha Guttal , Danny Raj M

This letter presents a high-dimensional analysis of the training dynamics for a single-layer nonlinear contrastive learning model. The empirical distribution of the model weights converges to a deterministic measure governed by a…

Machine Learning · Computer Science 2024-06-12 Lineghuan Meng , Chuang Wang

The step bunching instability is studied in three models of step motion defined in terms of ordinary differential equations (ODE). The source of instability in these models is step-step attraction, it is opposed by step-step repulsion and…

Materials Science · Physics 2016-04-20 Anna Krasteva , Noriko Akutsu , Vesselin Tonchev

We present new constrained and free-swimming experiments and simulations of a pair of pitching hydrofoils interacting in a minimal school. The hydrofoils have an out-of-phase synchronization and they are varied through in-line, staggered,…

Fluid Dynamics · Physics 2023-08-01 Pedro Costa Ormonde , Melike Kurt , Amin Mivehchi , Keith W. Moored

Unforeseen events are frequent in the real-world environments where robots are expected to assist, raising the need for fast replanning of the policy in execution to guarantee the system and environment safety. Inspired by human behavioural…

Robotics · Computer Science 2019-06-25 Èric Pairet , Paola Ardón , Michael Mistry , Yvan Petillot

We introduce the Stochastic Correlated Obstacle Scene (SCOS) problem, a navigation setting with spatially correlated obstacles of uncertain blockage status, realistically constrained sensors that provide noisy readings and costly…

Machine Learning · Statistics 2025-10-22 Li Zhou , Elvan Ceyhan

In this paper, we address the problem of vision-based obstacle avoidance for robotic manipulators. This topic poses challenges for both perception and motion generation. While most work in the field aims at improving one of those aspects,…

Robotics · Computer Science 2020-11-02 Elie Aljalbout , Ji Chen , Konstantin Ritt , Maximilian Ulmer , Sami Haddadin

Efficient navigation in dynamic environments is crucial for autonomous robots interacting with moving agents and static obstacles. We present a novel deep reinforcement learning approach that improves robot navigation and interaction with…

Robotics · Computer Science 2025-09-30 Yury Kolomeytsev , Dmitry Golembiovsky

Existing self-supervised learning methods learn representation by means of pretext tasks which are either (1) discriminating that explicitly specify which features should be separated or (2) aligning that precisely indicate which features…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Anjan Dutta , Massimiliano Mancini , Zeynep Akata