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Learning representations that capture the underlying data generating process is a key problem for data efficient and robust use of neural networks. One key property for robustness which the learned representation should capture and which…

Machine Learning · Computer Science 2022-06-24 Mathieu Chevalley , Charlotte Bunne , Andreas Krause , Stefan Bauer

A novel multi-level method for partial differential equations with uncertain parameters is proposed. The principle behind the method is that the error between grid levels in multi-level methods has a spatial structure that is by good…

Numerical Analysis · Mathematics 2020-04-29 Yous van Halder , Benjamin Sanderse , Barry Koren

Bayesian neural networks (BNNs) promise improved generalization under covariate shift by providing principled probabilistic representations of epistemic uncertainty. However, weight-based BNNs often struggle with high computational…

Machine Learning · Statistics 2022-06-13 Trung Trinh , Markus Heinonen , Luigi Acerbi , Samuel Kaski

Mixed-precision Deep Neural Networks achieve the energy efficiency and throughput needed for hardware deployment, particularly when the resources are limited, without sacrificing accuracy. However, the optimal per-layer bit precision that…

Machine Learning · Computer Science 2022-08-15 Mariam Rakka , Mohammed E. Fouda , Pramod Khargonekar , Fadi Kurdahi

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

In this work, we investigate the time series representation learning problem using self-supervised techniques. Contrastive learning is well-known in this area as it is a powerful method for extracting information from the series and…

Machine Learning · Computer Science 2024-10-08 Duy A. Nguyen , Trang H. Tran , Huy Hieu Pham , Phi Le Nguyen , Lam M. Nguyen

This paper surveys the machine learning literature and presents in an optimization framework several commonly used machine learning approaches. Particularly, mathematical optimization models are presented for regression, classification,…

Optimization and Control · Mathematics 2021-01-12 Claudio Gambella , Bissan Ghaddar , Joe Naoum-Sawaya

Bayesian Neural Networks (BNNs) offer probability distributions for model parameters, enabling uncertainty quantification in predictions. However, they often underperform compared to deterministic neural networks. Utilizing mutual learning…

Machine Learning · Computer Science 2024-07-04 Cuong Pham , Cuong C. Nguyen , Trung Le , Dinh Phung , Gustavo Carneiro , Thanh-Toan Do

Learning and compression are driven by the common aim of identifying and exploiting statistical regularities in data, which opens the door for fertile collaboration between these areas. A promising group of compression techniques for…

Machine Learning · Computer Science 2021-02-02 Fernando E. Rosas , Pedro A. M. Mediano , Michael Gastpar

Inverse design in science and engineering involves determining optimal design parameters that achieve desired performance outcomes, a process often hindered by the complexity and high dimensionality of design spaces, leading to significant…

Machine Learning · Computer Science 2025-02-24 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

Human activities generate various event sequences such as taxi trip records, bike-sharing pick-ups, crime occurrence, and infectious disease transmission. The point process is widely used in many applications to predict such events related…

Machine Learning · Computer Science 2024-01-30 Yoshiaki Takimoto , Yusuke Tanaka , Tomoharu Iwata , Maya Okawa , Hideaki Kim , Hiroyuki Toda , Takeshi Kurashima

Noether's theorem provides a powerful link between continuous symmetries and conserved quantities for systems governed by some variational principle. Perhaps unfortunately, most dynamical systems of interest in neuroscience and artificial…

Machine Learning · Computer Science 2025-04-15 John J. Vastola

In this report we review memory-based meta-learning as a tool for building sample-efficient strategies that learn from past experience to adapt to any task within a target class. Our goal is to equip the reader with the conceptual…

Deep neural networks (DNN) have shown great capacity of modeling a dynamical system; nevertheless, they usually do not obey physics constraints such as conservation laws. This paper proposes a new learning framework named ConCerNet to…

Machine Learning · Computer Science 2023-07-20 Wang Zhang , Tsui-Wei Weng , Subhro Das , Alexandre Megretski , Luca Daniel , Lam M. Nguyen

Over the past decade, deep neural networks have demonstrated significant success using the training scheme that involves mini-batch stochastic gradient descent on extensive datasets. Expanding upon this accomplishment, there has been a…

Machine Learning · Computer Science 2024-11-11 Jaehyeon Son , Soochan Lee , Gunhee Kim

The earth system is exceedingly complex and often chaotic in nature, making prediction incredibly challenging: we cannot expect to make perfect predictions all of the time. Instead, we look for specific states of the system that lead to…

Atmospheric and Oceanic Physics · Physics 2022-01-05 Elizabeth A. Barnes , Randal J. Barnes

Characterization of quantum systems from experimental data is a central problem in quantum science and technology. But which measurements should be used to gather data in the first place? While optimal measurement choices can be worked out…

Quantum Physics · Physics 2025-07-15 Jiaxin Huang , Yan Zhu , Giulio Chiribella , Ya-Dong Wu

Machine Learning is a powerful tool to reveal and exploit correlations in a multi-dimensional parameter space. Making predictions from such correlations is a highly non-trivial task, in particular when the details of the underlying dynamics…

High Energy Physics - Phenomenology · Physics 2019-01-30 Christoph Englert , Peter Galler , Philip Harris , Michael Spannowsky

Model predictive control (MPC) for linear systems with quadratic costs and linear constraints is shown to admit an exact representation as an implicit neural network. A method to "unravel" the implicit neural network of MPC into an explicit…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Ross Drummond , Pablo R Baldivieso-Monasterios , Giorgio Valmorbida

Prediction tasks over nodes and edges in networks require careful effort in engineering features used by learning algorithms. Recent research in the broader field of representation learning has led to significant progress in automating…

Social and Information Networks · Computer Science 2016-07-05 Aditya Grover , Jure Leskovec
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