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We would like to learn latent representations that are low-dimensional and highly interpretable. A model that has these characteristics is the Gaussian Process Latent Variable Model. The benefits and negative of the GP-LVM are complementary…

Machine Learning · Statistics 2017-12-19 Erik Bodin , Iman Malik , Carl Henrik Ek , Neill D. F. Campbell

Model correction is essential for reliable PDE learning when the governing physics is misspecified due to simplified assumptions or limited observations. In the machine learning literature, existing correction methods typically operate in…

Numerical Analysis · Mathematics 2026-03-27 Wenwen Zhou , Xiaodong Feng , Ling Guo , Hao Wu

While unsupervised variational autoencoders (VAE) have become a powerful tool in neuroimage analysis, their application to supervised learning is under-explored. We aim to close this gap by proposing a unified probabilistic model for…

Machine Learning · Computer Science 2019-07-15 Qingyu Zhao , Ehsan Adeli , Nicolas Honnorat , Tuo Leng , Kilian M. Pohl

Learning deep discrete latent presentations offers a promise of better symbolic and summarized abstractions that are more useful to subsequent downstream tasks. Inspired by the seminal Vector Quantized Variational Auto-Encoder (VQ-VAE),…

Machine Learning · Computer Science 2023-06-21 Tung-Long Vuong , Trung Le , He Zhao , Chuanxia Zheng , Mehrtash Harandi , Jianfei Cai , Dinh Phung

Variational autoencoders (VAEs) are a popular generative model used to approximate distributions. The encoder part of the VAE is used in amortized learning of latent variables, producing a latent representation for data samples. Recently,…

Machine Learning · Statistics 2023-05-12 Daniel G. Edelberg , Roy R. Lederman

Vector Quantization (VQ) is essential for discretizing continuous representations in unsupervised learning but suffers from representation collapse, causing low codebook utilization and limiting scalability. Existing solutions often rely on…

Machine Learning · Computer Science 2025-10-06 Yongxin Zhu , Bocheng Li , Yifei Xin , Zhihua Xia , Linli Xu

Achieving precise semantic control over the latent spaces of Variational AutoEncoders (VAEs) holds significant value for downstream tasks in NLP as the underlying generative mechanisms could be better localised, explained and improved upon.…

Computation and Language · Computer Science 2024-02-02 Yingji Zhang , Danilo S. Carvalho , Marco Valentino , Ian Pratt-Hartmann , Andre Freitas

Deep generative models are increasingly becoming integral parts of the in silico molecule design pipeline and have dual goals of learning the chemical and structural features that render candidate molecules viable while also being flexible…

Biomolecules · Quantitative Biology 2021-06-08 Yair Schiff , Vijil Chenthamarakshan , Karthikeyan Natesan Ramamurthy , Payel Das

Representation learning seeks to expose certain aspects of observed data in a learned representation that's amenable to downstream tasks like classification. For instance, a good representation for 2D images might be one that describes only…

Machine Learning · Computer Science 2017-03-07 Xi Chen , Diederik P. Kingma , Tim Salimans , Yan Duan , Prafulla Dhariwal , John Schulman , Ilya Sutskever , Pieter Abbeel

It is customary to deploy uniform scalar quantization in the end-to-end optimized Neural image compression methods, instead of more powerful vector quantization, due to the high complexity of the latter. Lattice vector quantization (LVQ),…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Xi Zhang , Xiaolin Wu

The ability to extract generative parameters from high-dimensional fields of data in an unsupervised manner is a highly desirable yet unrealized goal in computational physics. This work explores the use of variational autoencoders (VAEs)…

Computational Physics · Physics 2021-11-16 Christian Jacobsen , Karthik Duraisamy

Recent advances in the field of generative models and in particular generative adversarial networks (GANs) have lead to substantial progress for controlled image editing, especially compared with the pre-deep learning era. Despite their…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Gwilherm Lesné , Yann Gousseau , Saïd Ladjal , Alasdair Newson

Vector Quantization (VQ) is a method for discretizing latent representations and has become a major part of the deep learning toolkit. It has been theoretically and empirically shown that discretization of representations leads to improved…

Machine Learning · Computer Science 2022-02-04 Dianbo Liu , Alex Lamb , Xu Ji , Pascal Notsawo , Mike Mozer , Yoshua Bengio , Kenji Kawaguchi

Deep latent variable models (LVM) such as variational auto-encoder (VAE) have recently played an important role in text generation. One key factor is the exploitation of smooth latent structures to guide the generation. However, the…

Machine Learning · Computer Science 2019-12-02 Le Fang , Chunyuan Li , Jianfeng Gao , Wen Dong , Changyou Chen

We propose a novel shape representation useful for analyzing and processing shape collections, as well for a variety of learning and inference tasks. Unlike most approaches that capture variability in a collection by using a template model…

Graphics · Computer Science 2018-06-13 Ruqi Huang , Panos Achlioptas , Leonidas Guibas , Maks Ovsjanikov

A major challenge in quantum computing is its application to large real-world datasets due to scarce quantum hardware resources. One approach to enabling tractable quantum models for such datasets involves finding low-dimensional…

Quantum Physics · Physics 2025-04-11 Gaoyuan Wang , Jonathan Warrell , Prashant S. Emani , Mark Gerstein

Latent representation learned from multi-layered neural networks via hierarchical feature abstraction enables recent success of deep learning. Under the deep learning framework, generalization performance highly depends on the learned…

Machine Learning · Computer Science 2016-11-07 Hyo-Eun Kim , Sangheum Hwang , Kyunghyun Cho

We propose a novel algorithm for quantizing continuous latent representations in trained models. Our approach applies to deep probabilistic models, such as variational autoencoders (VAEs), and enables both data and model compression. Unlike…

Image and Video Processing · Electrical Eng. & Systems 2020-09-09 Yibo Yang , Robert Bamler , Stephan Mandt

As deep Variational Auto-Encoder (VAE) frameworks become more widely used for modeling biomolecular simulation data, we emphasize the capability of the VAE architecture to concurrently maximize the timescale of the latent space while…

Chemical Physics · Physics 2021-12-08 Hannah K. Wayment-Steele , Vijay S. Pande

Trajectory forecasting is crucial for video surveillance analytics, as it enables the anticipation of future movements for a set of agents, e.g. basketball players engaged in intricate interactions with long-term intentions. Deep generative…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Riccardo Benaglia , Angelo Porrello , Pietro Buzzega , Simone Calderara , Rita Cucchiara