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In machine learning, fewer features reduce model complexity. Carefully assessing the influence of each input feature on the model quality is therefore a crucial preprocessing step. We propose a novel feature selection algorithm based on a…

Quantum Physics · Physics 2023-02-22 Sascha Mücke , Raoul Heese , Sabine Müller , Moritz Wolter , Nico Piatkowski

Autoencoders are unsupervised deep learning models used for learning representations. In literature, autoencoders have shown to perform well on a variety of tasks spread across multiple domains, thereby establishing widespread…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Maneet Singh , Shruti Nagpal , Mayank Vatsa , Richa Singh , Afzel Noore

Recent progress in quantum machine learning has sparked interest in using quantum methods to tackle classical control problems via quantum reinforcement learning. However, the classical reinforcement learning environments often scale to…

Inspired by the success of deep learning techniques in the physical and chemical sciences, we apply a modification of an autoencoder type deep neural network to the task of dimension reduction of molecular dynamics data. We can show that…

Machine Learning · Statistics 2018-04-04 Christoph Wehmeyer , Frank Noé

This study proposes an automated data mining framework based on autoencoders and experimentally verifies its effectiveness in feature extraction and data dimensionality reduction. Through the encoding-decoding structure, the autoencoder can…

Machine Learning · Computer Science 2024-12-04 Yaxin Liang , Xinshi Li , Xin Huang , Ziqi Zhang , Yue Yao

We study the problem of how to build a deep learning representation for 3D shape. Deep learning has shown to be very effective in variety of visual applications, such as image classification and object detection. However, it has not been…

Computer Vision and Pattern Recognition · Computer Science 2014-09-26 Zhuotun Zhu , Xinggang Wang , Song Bai , Cong Yao , Xiang Bai

We design a physics-aware auto-encoder to specifically reduce the dimensionality of solutions arising from convection-dominated nonlinear physical systems. Although existing nonlinear manifold learning methods seem to be compelling tools to…

Dynamical Systems · Mathematics 2022-09-15 Rambod Mojgani , Maciej Balajewicz

In this work, we study and analyze different feature selection algorithms that can be used to classify cancer subtypes in case of highly varying high-dimensional data. We apply three different feature selection methods on five different…

Machine Learning · Computer Science 2021-10-01 Vaibhav Sinha , Siladitya Dash , Nazma Naskar , Sk Md Mosaddek Hossain

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

We present an algorithm for solving binary classification problems when the dataset is not fully representative of the problem being solved, and obtaining more data is not possible. It relies on a trained model with loose accuracy…

Machine Learning · Computer Science 2025-07-11 Adrian de Wynter

The lack of evidence for new interactions and particles at the Large Hadron Collider has motivated the high-energy physics community to explore model-agnostic data-analysis approaches to search for new physics. Autoencoders are unsupervised…

High Energy Physics - Phenomenology · Physics 2022-05-20 Vishal S. Ngairangbam , Michael Spannowsky , Michihisa Takeuchi

Unsupervised dimensionality reduction is one of the commonly used techniques in the field of high dimensional data recognition problems. The deep autoencoder network which constrains the weights to be non-negative, can learn a low…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Anyong Qin , Zhaowei Shang , Zhuolin Tan , Taiping Zhang , Yuan Yan Tang

The frequent interactions between quantum computing and machine learning revolutionize both fields. One prototypical achievement is the quantum auto-encoder (QAE), as the leading strategy to relieve the curse of dimensionality ubiquitous in…

Quantum Physics · Physics 2024-10-03 Yuxuan Du , Dacheng Tao

In the construction of reduced-order models for dynamical systems, linear projection methods, such as proper orthogonal decompositions, are commonly employed. However, for many dynamical systems, the lower dimensional representation of the…

Dynamical Systems · Mathematics 2021-08-31 Sreeram Venkat , Ralph C. Smith , Carl T. Kelley

In this work we show that the classification performance of high-dimensional structural MRI data with only a small set of training examples is improved by the usage of dimension reduction methods. We assessed two different dimension…

Machine Learning · Computer Science 2015-05-27 Andreas Grünauer , Markus Vincze

For safely applying reinforcement learning algorithms on high-dimensional nonlinear dynamical systems, a simplified system model is used to formulate a safe reinforcement learning framework. Based on the simplified system model, a…

Robotics · Computer Science 2021-09-09 Zhehua Zhou , Ozgur S. Oguz , Marion Leibold , Martin Buss

Multivariate time series anomaly detection is a crucial problem in many industrial and research applications. Timely detection of anomalies allows, for instance, to prevent defects in manufacturing processes and failures in cyberphysical…

Machine Learning · Computer Science 2024-03-06 Marcin Pietroń , Dominik Żurek , Kamil Faber , Roberto Corizzo

Density based representations of atomic environments that are invariant under Euclidean symmetries have become a widely used tool in the machine learning of interatomic potentials, broader data-driven atomistic modelling and the…

The reduction of Hamiltonian systems aims to build smaller reduced models, valid over a certain range of time and parameters, in order to reduce computing time. By maintaining the Hamiltonian structure in the reduced model, certain…

Numerical Analysis · Mathematics 2024-09-17 Raphaël Côte , Emmanuel Franck , Laurent Navoret , Guillaume Steimer , Vincent Vigon

Low-dimensional embeddings for data from disparate sources play critical roles in multi-modal machine learning, multimedia information retrieval, and bioinformatics. In this paper, we propose a supervised dimensionality reduction method…

Machine Learning · Computer Science 2021-01-15 Yanjun Li , Bihan Wen , Hao Cheng , Yoram Bresler