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Distance metric learning can be viewed as one of the fundamental interests in pattern recognition and machine learning, which plays a pivotal role in the performance of many learning methods. One of the effective methods in learning such a…

Machine Learning · Computer Science 2020-02-21 Mostafa Razavi Ghods , Mohammad Hossein Moattar , Yahya Forghani

Learning in structured, multi-context, or non-stationary environments involves two orthogonal difficulties. The first is \emph{metric}: once the correct context is known, how hard is prediction within it? This is the domain of Statistical…

Machine Learning · Computer Science 2026-05-08 Xin Li

We employ constraints to control the parameter space of deep neural networks throughout training. The use of customized, appropriately designed constraints can reduce the vanishing/exploding gradients problem, improve smoothness of…

Machine Learning · Computer Science 2021-06-22 Benedict Leimkuhler , Tiffany Vlaar , Timothée Pouchon , Amos Storkey

We study the fundamental problem of learning a marginally stable unknown nonlinear dynamical system. We describe an algorithm for this problem, based on the technique of spectral filtering, which learns a mapping from past observations to…

Machine Learning · Computer Science 2025-08-19 Evan Dogariu , Anand Brahmbhatt , Elad Hazan

Modern deep learning architectures increasingly contend with sophisticated signals that are natively infinite-dimensional, such as time series, probability distributions, or operators, and are defined over irregular domains. Yet, a unified…

Machine Learning · Computer Science 2026-05-21 Kartik Tandon , Julian Gould , Tanishq Bhatia , Francesca Dominici , Alejandro Ribeiro , Claudio Battiloro

While many phenomena in physics and engineering are formally high-dimensional, their long-time dynamics often live on a lower-dimensional manifold. The present work introduces an autoencoder framework that combines implicit regularization…

Machine Learning · Computer Science 2023-12-07 Kevin Zeng , Carlos E. Pérez De Jesús , Andrew J. Fox , Michael D. Graham

Given an unknown dynamic system such as a coupled harmonic oscillator with $n$ springs and point masses. We are often interested in gaining insights into its physical parameters, i.e. stiffnesses and masses, by observing trajectories of…

Machine Learning · Computer Science 2021-03-22 Gregory Barber , Mulugeta A. Haile , Tzikang Chen

We investigate the scenario that a robot needs to reach a designated goal after taking a sequence of appropriate actions in a non-static environment that is partially structured. One application example is to control a marine vehicle to…

Robotics · Computer Science 2018-03-13 Chen Huang , Kai Yin , Lantao Liu

Unraveling the structural factors influencing the dynamics of amorphous solids is crucial. While deep learning aids in navigating these complexities, transparency issues persist. Inspired by the successful application of prototype neural…

Soft Condensed Matter · Physics 2024-03-19 Xiao Jiang , Zean Tian , Kenli Li , Wangyu Hu

When working alongside human collaborators in dynamic and unstructured environments, such as disaster recovery or military operation, fast field adaptation is necessary for an unmanned ground vehicle (UGV) to perform its duties or learn…

Robotics · Computer Science 2022-05-09 Maggie Wigness , John G. Rogers , Luis E. Navarro-Serment

The task of modelling and forecasting a dynamical system is one of the oldest problems, and it remains challenging. Broadly, this task has two subtasks - extracting the full dynamical information from a partial observation; and then…

Dynamical Systems · Mathematics 2022-08-16 Tyrus Berry , Suddhasattwa Das

Despite being widely adopted as a canonical framework for learning robust models, adversarial training suffers from robust overfitting. Existing empirical measures and theoretical explorations are insufficient to provide satisfying…

Machine Learning · Computer Science 2026-03-10 Yuelin Xu , Xiao Zhang

We consider a human-assisted autonomy sensor fusion for dynamic target localization in a Bayesian framework. Autonomous sensor-based tracking systems can suffer from observability and target detection failure. Humans possess valuable…

Robotics · Computer Science 2024-10-08 Min-Won Seo , Solmaz S. Kia

Continual learning aims to efficiently learn from a non-stationary stream of data while avoiding forgetting the knowledge of old data. In many practical applications, data complies with non-Euclidean geometry. As such, the commonly used…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Zhi Gao , Chen Xu , Feng Li , Yunde Jia , Mehrtash Harandi , Yuwei Wu

Unseen shifts in environment dynamics, driven by hidden parameters such as friction or gravity, create a challenge for maintaining safety. We address this challenge by proposing Adaptive Shielding, a framework for safe reinforcement…

Machine Learning · Computer Science 2026-02-03 Minjae Kwon , Tyler Ingebrand , Ufuk Topcu , Lu Feng

We propose a novel framework for enhancing robotic adaptability and learning efficiency, which integrates unsupervised trajectory segmentation with adaptive probabilistic movement primitives (ProMPs). By employing a cutting-edge deep…

Robotics · Computer Science 2024-05-01 Tianci Gao

This article proposes an active learning method for high dimensional data, based on intrinsic data geometries learned through diffusion processes on graphs. Diffusion distances are used to parametrize low-dimensional structures on the…

Machine Learning · Computer Science 2019-05-31 Mauro Maggioni , James M. Murphy

We propose a hierarchical learning architecture for predictive control in unknown environments. We consider a constrained nonlinear dynamical system and assume the availability of state-input trajectories solving control tasks in different…

Systems and Control · Electrical Eng. & Systems 2020-07-16 Charlott Vallon , Francesco Borrelli

Equivariance is a powerful prior for learning physical dynamics, yet exact group equivariance can degrade performance if the symmetries are broken. We propose object-centric world models built with geometric algebra neural networks,…

Machine Learning · Computer Science 2025-12-18 Hampus Linander , Conor Heins , Alexander Tschantz , Marco Perin , Christopher Buckley

Dynamical systems are found in innumerable forms across the physical and biological sciences, yet all these systems fall naturally into universal equivalence classes: conservative or dissipative, stable or unstable, compressible or…

Machine Learning · Computer Science 2023-02-28 Matthew Ricci , Noa Moriel , Zoe Piran , Mor Nitzan