English
Related papers

Related papers: Deep Learning Order Parameter for Polymer Phase Tr…

200 papers

Reduced Order Modelling (ROM) has been widely used to create lower order, computationally inexpensive representations of higher-order dynamical systems. Using these representations, ROMs can efficiently model flow fields while using…

Fluid Dynamics · Physics 2021-10-13 Pranshu Pant , Ruchit Doshi , Pranav Bahl , Amir Barati Farimani

The present work proposes a framework for nonlinear model order reduction based on a Graph Convolutional Autoencoder (GCA-ROM). In the reduced order modeling (ROM) context, one is interested in obtaining real-time and many-query evaluations…

Numerical Analysis · Mathematics 2023-11-08 Federico Pichi , Beatriz Moya , Jan S. Hesthaven

The dynamic of complex ordering systems with active rotational degrees of freedom exemplified by protein self-assembly is explored using a machine learning workflow that combines deep learning-based semantic segmentation and rotationally…

Soft Condensed Matter · Physics 2021-04-26 Sergei V. Kalinin , Shuai Zhang , Mani Valleti , Harley Pyles , David Baker , James J. De Yoreo , Maxim Ziatdinov

Autoencoders have achieved great success in various computer vision applications. The autoencoder learns appropriate low dimensional image representations through the self-supervised paradigm, i.e., reconstruction. Existing studies mainly…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Jianzhang Zheng , Hao Shen , Jian Yang , Xuan Tang , Mingsong Chen , Hui Yu , Jielong Guo , Xian Wei

A central challenge in data-driven model discovery is the presence of hidden, or latent, variables that are not directly measured but are dynamically important. Takens' theorem provides conditions for when it is possible to augment these…

Machine Learning · Computer Science 2022-01-14 Joseph Bakarji , Kathleen Champion , J. Nathan Kutz , Steven L. Brunton

Synthetic sequence-controlled polymers promise to transform polymer science by combining the chemical versatility of synthetic polymers with the precise sequence-mediated functionality of biological proteins. However, design of these…

Materials Science · Physics 2025-07-30 Md Mushfiqul Islam , Nishat N. Labiba , Lawrence O. Hall , David S. Simmons

The accurate and fast estimation of velocity models is crucial in seismic imaging. Conventional methods, like Tomography and Full-Waveform Inversion (FWI), obtain appropriate velocity models; however, they require intense and specialized…

We propose a reduced-order modeling approach for nonlinear, parameter-dependent ordinary differential equations (ODE). Dimensionality reduction is achieved using nonlinear maps represented by autoencoders. The resulting low-dimensional ODE…

Numerical Analysis · Mathematics 2026-04-16 Enrico Ballini , Marco Gambarini , Alessio Fumagalli , Luca Formaggia , Anna Scotti , Paolo Zunino

We introduce the group-equivariant autoencoder (GE-autoencoder) -- a deep neural network (DNN) method that locates phase boundaries by determining which symmetries of the Hamiltonian have spontaneously broken at each temperature. We use…

Statistical Mechanics · Physics 2023-05-23 Devanshu Agrawal , Adrian Del Maestro , Steven Johnston , James Ostrowski

Due to the wide range of timescales that are present in macromolecular systems, hierarchical multiscale strategies are necessary for their computational study. Coarse-graining (CG) allows to establish a link between different system…

Accurate and robust trajectory prediction of neighboring agents is critical for autonomous vehicles traversing in complex scenes. Most methods proposed in recent years are deep learning-based due to their strength in encoding complex…

Robotics · Computer Science 2023-03-27 Yujun Jiao , Mingze Miao , Zhishuai Yin , Chunyuan Lei , Xu Zhu , Linzhen Nie , Bo Tao

The recent surge in Deep Learning (DL) research of the past decade has successfully provided solutions to many difficult problems. The field of quantitative analysis has been slowly adapting the new methods to its problems, but due to…

Deep neural networks usually benefit from unsupervised pre-training, e.g. auto-encoders. However, the classifier further needs supervised fine-tuning methods for good discrimination. Besides, due to the limits of full-connection, the…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Hailin Shi , Xiangyu Zhu , Zhen Lei , Shengcai Liao , Stan Z. Li

We propose a systematic methodology to identify the topological phase transition through a self-supervised machine learning model, which is trained to correlate system parameters to the non-local observables in time-of-flight experiments of…

Quantum Gases · Physics 2021-09-01 Chi-Ting Ho , Daw-Wei Wang

The success of deep learning (DL) is often achieved with large models and high complexity during both training and post-training inferences, hindering training in resource-limited settings. To alleviate these issues, this paper introduces a…

Machine Learning · Computer Science 2025-01-20 En-hui Yang , Shayan Mohajer Hamidi

Copolymers are highly versatile materials with a vast range of possible chemical compositions. By using computational methods for property prediction, the design of copolymers can be accelerated, allowing for the prioritization of…

Materials Science · Physics 2025-09-16 Elaheh Kazemi-Khasragh , Rocío Mercado , Carlos Gonzalez , Maciej Haranczyk

The aerodynamic optimization process of cars requires multiple iterations between aerodynamicists and stylists. Response Surface Modeling and Reduced-Order Modeling are commonly used to eliminate the overhead due to Computational Fluid…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Sam Jacob Jacob , Markus Mrosek , Carsten Othmer , Harald Köstler

Machining process planning (MP) is inherently complex due to structural and geometrical dependencies among part features and machining operations. A key challenge lies in capturing dynamic interdependencies that evolve with distinct part…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Fatemeh Elhambakhsh , Gaurav Ameta , Aditi Roy , Hyunwoong Ko

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional ROMs - built, e.g., exclusively through proper orthogonal decomposition (POD) - when applied to nonlinear…

Numerical Analysis · Mathematics 2022-01-26 Federico Fatone , Stefania Fresca , Andrea Manzoni

The identification and classification of different phases of ice within molecular simulations is a challenging task due to the complex and varied phase space of ice, which includes numerous crystalline and amorphous forms. Traditional order…

Soft Condensed Matter · Physics 2024-10-01 Dibyendu Maity , Suman Chakrabarty