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This paper proposes a theory for understanding perceptual learning processes within the general framework of laws of nature. Neural networks are regarded as systems whose connections are Lagrangian variables, namely functions depending on…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Alessandro Betti , Marco Gori , Stefano Melacci

Gaussian process (GP) models are widely used to emulate propagation uncertainty in computer experiments. GP emulation sits comfortably within an analytically tractable Bayesian framework. Apart from propagating uncertainty of the input…

Methodology · Statistics 2015-01-30 Silvia Montagna , Surya T. Tokdar

Convolutional neural networks (CNNs) have been established as the main workhorse in image data processing; nonetheless, they require large amounts of data to train, often produce overconfident predictions, and frequently lack the ability to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Sarah Harkins Dayton , Hayden Everett , Ioannis Schizas , David L. Boothe , Vasileios Maroulas

Nanoparticles (NPs) make for intriguing heterogeneous catalysts due to their large active surface area and excellent and often size-dependent catalytic properties that emerge from a multitude of chemically different surface reaction sites.…

Representations of sequential data are commonly based on the assumption that observed sequences are realizations of an unknown underlying stochastic process, where the learning problem includes determination of the model parameters. In this…

Machine Learning · Statistics 2019-09-17 Ronny Hug , Wolfgang Hübner , Michael Arens

Gaussian processes (GPs) offer a principled probabilistic model over functions, but exact inference is restricted to the linear-Gaussian regime. We establish an explicit equivalence between GPs and a class of linear diffusion models,…

Training convolutional neural networks (CNNs) with back-propagation (BP) is time-consuming and resource-intensive particularly in view of the need to visit the dataset multiple times. In contrast, analytic learning attempts to obtain the…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Huiping Zhuang , Zhiping Lin , Yimin Yang , Kar-Ann Toh

The predictions of wide Bayesian neural networks are described by a Gaussian process, known as the Neural Network Gaussian Process (NNGP). Analytic forms for NNGP kernels are known for many models, but computing the exact kernel for…

Machine Learning · Computer Science 2020-11-13 Daniel S. Park , Jaehoon Lee , Daiyi Peng , Yuan Cao , Jascha Sohl-Dickstein

The interaction of condensed phase systems with external electric fields is crucial in myriad processes in nature and technology ranging from the field-directed motion of cells (galvanotaxis), to energy storage and conversion systems…

Chemical Physics · Physics 2024-09-25 Kit Joll , Philipp Schienbein , Kevin M. Rosso , Jochen Blumberger

The scarcity of labeled action data poses a considerable challenge for developing machine learning algorithms for robotic object manipulation. It is expensive and often infeasible for a robot to interact with many objects. Conversely,…

Robotics · Computer Science 2024-12-03 Emily Liu , Michael Noseworthy , Nicholas Roy

We develop a neuroevolution-potential (NEP) framework for generating neural network based machine-learning potentials. They are trained using an evolutionary strategy for performing large-scale molecular dynamics (MD) simulations. A…

Computational Physics · Physics 2022-01-25 Zheyong Fan , Zezhu Zeng , Cunzhi Zhang , Yanzhou Wang , Haikuan Dong , Yue Chen , Tapio Ala-Nissila

Predictive Process Monitoring (PPM) aims at leveraging historic process execution data to predict how ongoing executions will continue up to their completion. In recent years, PPM techniques for the prediction of the next activities have…

Artificial Intelligence · Computer Science 2023-12-15 Ivan Donadello , Jonghyeon Ko , Fabrizio Maria Maggi , Jan Mendling , Francesco Riva , Matthias Weidlich

The Gaussian process (GP) is a popular statistical technique for stochastic function approximation and uncertainty quantification from data. GPs have been adopted into the realm of machine learning in the last two decades because of their…

Machine Learning · Statistics 2024-10-02 Marcus M. Noack , Hengrui Luo , Mark D. Risser

Imitation learning considerably simplifies policy synthesis compared to alternative approaches by exploiting access to expert demonstrations. For such imitation policies, errors away from the training samples are particularly critical. Even…

Machine Learning · Computer Science 2024-03-19 Kaustubh Sridhar , Souradeep Dutta , Dinesh Jayaraman , James Weimer , Insup Lee

Nanoparticles (NPs) formed in nonthermal plasmas (NTPs) can have unique properties and applications. However, modeling their growth in these environments presents significant challenges due to the non-equilibrium nature of NTPs, making them…

Computational Physics · Physics 2025-01-03 Matt Raymond , Paolo Elvati , Jacob C. Saldinger , Jonathan Lin , Xuetao Shi , Angela Violi

Trial-and-error based reinforcement learning (RL) has seen rapid advancements in recent times, especially with the advent of deep neural networks. However, the majority of autonomous RL algorithms require a large number of interactions with…

Systems and Control · Computer Science 2018-02-23 Sanket Kamthe , Marc Peter Deisenroth

Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime changes in training data. Here we explore DGPs as surrogates…

Methodology · Statistics 2021-08-27 Annie Sauer , Robert B. Gramacy , David Higdon

Trajectory planners of autonomous vehicles usually rely on physical models to predict the vehicle behavior. However, despite their suitability, physical models have some shortcomings. On the one hand, simple models suffer from larger model…

Robotics · Computer Science 2026-02-09 Lars Ullrich , Andreas Völz , Knut Graichen

Many control tasks can be formulated as a tracking problem of a known or unknown reference signal. Examples are movement compensation in collaborative robotics, the synchronisation of oscillations for power systems or reference tracking of…

Optimization and Control · Mathematics 2019-11-26 Janine Matschek , Andreas Himmel , Kai Sundmacher , Rolf Findeisen

Deep Gaussian processes (DGPs) provide a Bayesian non-parametric alternative to standard parametric deep learning models. A DGP is formed by stacking multiple GPs resulting in a well-regularized composition of functions. The Bayesian…

Machine Learning · Statistics 2018-06-06 Vinayak Kumar , Vaibhav Singh , P. K. Srijith , Andreas Damianou
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