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Learning time-dependent partial differential equations (PDEs) that govern evolutionary observations is one of the core challenges for data-driven inference in many fields. In this work, we propose to capture the essential dynamics of…

Numerical Analysis · Mathematics 2021-09-07 Ricardo A. Delgadillo , Jingwei Hu , Haizhao Yang

Deep generative models have been used in recent years to learn coherent latent representations in order to synthesize high-quality images. In this work, we propose a neural network to learn a generative model for sampling consistent indoor…

Computer Vision and Pattern Recognition · Computer Science 2020-08-24 Pulak Purkait , Christopher Zach , Ian Reid

VAEs, or variational autoencoders, are autoencoders that explicitly learn the distribution of the input image space rather than assuming no prior information about the distribution. This allows it to classify similar samples close to each…

Machine Learning · Computer Science 2023-02-08 Fareed Sheriff , Sameer Pai

Recent studies have introduced a new class of generative models for synthesizing implicit neural representations (INRs) that capture arbitrary continuous signals in various domains. These models opened the door for domain-agnostic…

Machine Learning · Computer Science 2024-03-21 Dogyun Park , Sihyeon Kim , Sojin Lee , Hyunwoo J. Kim

Distilling analytical models from data has the potential to advance our understanding and prediction of nonlinear dynamics. Although discovery of governing equations based on observed system states (e.g., trajectory time series) has…

Machine Learning · Computer Science 2021-06-10 Lele Luan , Yang Liu , Hao Sun

Deep learning can accurately represent sub-grid-scale convective processes in climate models, learning from high resolution simulations. However, deep learning methods usually lack interpretability due to large internal dimensionality,…

Atmospheric and Oceanic Physics · Physics 2022-09-07 Gunnar Behrens , Tom Beucler , Pierre Gentine , Fernando Iglesias-Suarez , Michael Pritchard , Veronika Eyring

A variational autoencoder (VAE) derived from Tsallis statistics called q-VAE is proposed. In the proposed method, a standard VAE is employed to statistically extract latent space hidden in sampled data, and this latent space helps make…

Machine Learning · Computer Science 2021-08-27 Taisuke Kobayashi

Recent advances in electron, scanning probe, optical, and chemical imaging and spectroscopy yield bespoke data sets containing the information of structure and functionality of complex systems. In many cases, the resulting data sets are…

Materials Science · Physics 2024-11-15 Yongtao Liu , Bryan D Huey , Maxim A. Ziatdinov , Sergei V. Kalinin

Optimal computations under uncertainty require an adequate probabilistic representation about beliefs. Deep generative models, and specifically Variational Autoencoders (VAEs), have the potential to meet this demand by building latent…

Syntactic information contains structures and rules about how text sentences are arranged. Incorporating syntax into text modeling methods can potentially benefit both representation learning and generation. Variational autoencoders (VAEs)…

Computation and Language · Computer Science 2019-08-28 Yijun Xiao , William Yang Wang

Autoencoders are neural network formulations where the input and output of the network are identical and the goal is to identify the hidden representation in the provided datasets. Generally, autoencoders project the data nonlinearly onto a…

Signal Processing · Electrical Eng. & Systems 2019-07-10 Debjani Bhowick , Deepak K. Gupta , Saumen Maiti , Uma Shankar

Given a dataset of images containing different objects with different features such as shape, size, rotation, and x-y position; and a Variational Autoencoder (VAE); creating a disentangled encoding of these features in the hidden space…

Computer Vision and Pattern Recognition · Computer Science 2022-08-10 Mohammad Haghir Ebrahimabadi

Physical imaging is a foundational characterization method in areas from condensed matter physics and chemistry to astronomy and spans length scales from atomic to universe. Images encapsulate crucial data regarding atomic bonding,…

Although variational autoencoders (VAEs) represent a widely influential deep generative model, many aspects of the underlying energy function remain poorly understood. In particular, it is commonly believed that Gaussian encoder/decoder…

Machine Learning · Computer Science 2019-10-31 Bin Dai , David Wipf

The paper presents the application of Variational Autoencoders (VAE) for data dimensionality reduction and explorative analysis of mass spectrometry imaging data (MSI). The results confirm that VAEs are capable of detecting the patterns…

Quantitative Methods · Quantitative Biology 2017-08-25 Paolo Inglese , James L. Alexander , Anna Mroz , Zoltan Takats , Robert Glen

Multi-modal generative models represent an important family of deep models, whose goal is to facilitate representation learning on data with multiple views or modalities. However, current deep multi-modal models focus on the inference of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-25 Mihee Lee , Vladimir Pavlovic

Models of human motion commonly focus either on trajectory prediction or action classification but rarely both. The marked heterogeneity and intricate compositionality of human motion render each task vulnerable to the data degradation and…

Computer Vision and Pattern Recognition · Computer Science 2022-06-08 Anthony Bourached , Robert Gray , Xiaodong Guan , Ryan-Rhys Griffiths , Ashwani Jha , Parashkev Nachev

Popular generative model learning methods such as Generative Adversarial Networks (GANs), and Variational Autoencoders (VAE) enforce the latent representation to follow simple distributions such as isotropic Gaussian. In this paper, we…

Machine Learning · Computer Science 2018-03-15 Cem Subakan , Oluwasanmi Koyejo , Paris Smaragdis

A disentangled representation of a data set should be capable of recovering the underlying factors that generated it. One question that arises is whether using Euclidean space for latent variable models can produce a disentangled…

Machine Learning · Computer Science 2020-03-23 Luis A. Pérez Rey

Diffusion probabilistic models (DPMs) have shown remarkable results on various image synthesis tasks such as text-to-image generation and image inpainting. However, compared to other generative methods like VAEs and GANs, DPMs lack a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Yipeng Leng , Qiangjuan Huang , Zhiyuan Wang , Yangyang Liu , Haoyu Zhang
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