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Spatially localized deformation components are very useful for shape analysis and synthesis in 3D geometry processing. Several methods have recently been developed, with an aim to extract intuitive and interpretable deformation components.…

Graphics · Computer Science 2017-12-19 Qingyang Tan , Lin Gao , Yu-Kun Lai , Jie Yang , Shihong Xia

Conventional algorithms for sparse signal recovery and sparse representation rely on $l_1$-norm regularized variational methods. However, when applied to the reconstruction of $\textit{sparse images}$, i.e., images where only a few pixels…

Computer Vision and Pattern Recognition · Computer Science 2016-05-09 Sohil Shah , Tom Goldstein , Christoph Studer

The computational cost of traditional Computational Fluid Dynamics-based Aerodynamic Shape Optimization severely restricts design space exploration. This paper introduces TripOptimizer, a fully differentiable deep learning framework for…

Machine Learning · Computer Science 2025-12-04 Parsa Vatani , Mohamed Elrefaie , Farhad Nazarpour , Faez Ahmed

We introduce the first differentiable approximation of range-partition entropy, a complexity measure from computational geometry that directly bounds algorithmic runtime. Unlike architectural modifications, our method is a complementary…

Machine Learning · Computer Science 2025-11-20 Ibne Farabi Shihab , Sanjeda Akter , Anuj Sharma

We present Deep Compression Autoencoder (DC-AE), a new family of autoencoder models for accelerating high-resolution diffusion models. Existing autoencoder models have demonstrated impressive results at a moderate spatial compression ratio…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Junyu Chen , Han Cai , Junsong Chen , Enze Xie , Shang Yang , Haotian Tang , Muyang Li , Yao Lu , Song Han

High dimensional data is often assumed to be concentrated on or near a low-dimensional manifold. Autoencoders (AE) is a popular technique to learn representations of such data by pushing it through a neural network with a low dimension…

Machine Learning · Computer Science 2020-10-06 Amos Gropp , Matan Atzmon , Yaron Lipman

Deep latent variable models, trained using variational autoencoders or generative adversarial networks, are now a key technique for representation learning of continuous structures. However, applying similar methods to discrete structures,…

Machine Learning · Computer Science 2018-07-02 Jake Zhao , Yoon Kim , Kelly Zhang , Alexander M. Rush , Yann LeCun

In the present paper we consider the problem of Laplace deconvolution with noisy discrete observations. The study is motivated by Dynamic Contrast Enhanced imaging using a bolus of contrast agent, a procedure which allows considerable…

Statistics Theory · Mathematics 2012-07-12 Fabienne Comte , Charles-André Cuénod , Marianna Pensky , Yves Rozenholc

Aiming at inferring 3D shapes from 2D images, 3D shape reconstruction has drawn huge attention from researchers in computer vision and deep learning communities. However, it is not practical to assume that 2D input images and their…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Yi-Lun Liao , Yao-Cheng Yang , Yu-Chiang Frank Wang

Variational Autoencoders (VAEs) provide a theoretically-backed and popular framework for deep generative models. However, learning a VAE from data poses still unanswered theoretical questions and considerable practical challenges. In this…

Machine Learning · Computer Science 2020-06-01 Partha Ghosh , Mehdi S. M. Sajjadi , Antonio Vergari , Michael Black , Bernhard Schölkopf

We present a unified, finite-element-native variational inference framework for very high-dimensional Bayesian spatial field reconstruction in physics-based problems governed by partial differential equations (PDEs) that are nonlinear in…

Computational Engineering, Finance, and Science · Computer Science 2026-05-26 Jonas Nitzler , Maximilian Bergbauer , Phaedon-Stelios Koutsourelakis , Wolfgang A. Wall

Image quality is the basis of image communication and understanding tasks. Due to the blur and noise effects caused by imaging, transmission and other processes, the image quality is degraded. Blind image restoration is widely used to…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Ningshan Xu

Weak lensing observations measure the shear field and hence the gradient of the dimensionless surface density $\kappa$. We present several new algorithms to recover $\kappa$ {}from shear estimates on a finite region and compare how they…

Astrophysics · Physics 2009-10-28 Gordon Squires , Nick Kaiser

Unsupervised industrial anomaly detection requires accurately identifying defects without labeled data. Traditional autoencoder-based methods often struggle with incomplete anomaly suppression and loss of fine details, as their single-pass…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Rongcheng Wu , Hao Zhu , Shiying Zhang , Mingzhe Wang , Zhidong Li , Hui Li , Jianlong Zhou , Jiangtao Cui , Fang Chen , Pingyang Sun , Qiyu Liao , Ye Lin

We propose a semantic-aware neural reconstruction method to generate 3D high-fidelity models from sparse images. To tackle the challenge of severe radiance ambiguity caused by mismatched features in sparse input, we enrich neural implicit…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Bo Xu , Yuhu Guo , Yuchao Wang , Wenting Wang , Yeung Yam , Charlie C. L. Wang , Xinyi Le

We investigate the use of renormalisation group methods to solve partial differential equations (PDEs) numerically. Our approach focuses on coarse-graining the underlying continuum process as opposed to the conventional numerical analysis…

Statistical Mechanics · Physics 2009-10-31 Nigel Goldenfeld , Alan McKane , Qing Hou

Modern text classification methods heavily rely on contextual embeddings from large language models (LLMs). Compared to human-engineered features, these embeddings provide automatic and effective representations for classification model…

Computation and Language · Computer Science 2025-07-29 Xuansheng Wu , Wenhao Yu , Xiaoming Zhai , Ninghao Liu

We propose a novel model for decomposing grayscale images into three distinct components: the structural part, representing sharp boundaries and regions with strong light-to-dark transitions; the smooth part, capturing soft shadows and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Roy Y. He , Hao Liu

Accurate 3D lane segment detection and topology reasoning are critical for structured online map construction in autonomous driving. Recent transformer-based approaches formulate this task as query-based set prediction, yet largely inherit…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Danny Abraham , Nikhil Kamalkumar Advani , Arun Das , Nikil Dutt

Regularized autoencoders learn the latent codes, a structure with the regularization under the distribution, which enables them the capability to infer the latent codes given observations and generate new samples given the codes. However,…

Machine Learning · Computer Science 2019-02-18 Wenju Xu , Shawn Keshmiri , Guanghui Wang