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Autoencoders represent an effective approach for computing the underlying factors characterizing datasets of different types. The latent representation of autoencoders have been studied in the context of enabling interpolation between data…

Machine Learning · Computer Science 2020-10-23 Alon Oring , Zohar Yakhini , Yacov Hel-Or

Autoencoders provide a powerful framework for learning compressed representations by encoding all of the information needed to reconstruct a data point in a latent code. In some cases, autoencoders can "interpolate": By decoding the convex…

Machine Learning · Computer Science 2018-07-25 David Berthelot , Colin Raffel , Aurko Roy , Ian Goodfellow

Mixup is a powerful data augmentation method that interpolates between two or more examples in the input or feature space and between the corresponding target labels. Many recent mixup methods focus on cutting and pasting two or more…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Shashanka Venkataramanan , Ewa Kijak , Laurent Amsaleg , Yannis Avrithis

We aim to build image generation models that generalize to new domains from few examples. To this end, we first investigate the generalization properties of classic image generators, and discover that autoencoders generalize extremely well…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Davis Wertheimer , Omid Poursaeed , Bharath Hariharan

The problem of the generation of an intermediate image between two given images in an image sequence is considered. The problem is formulated as an optimal control problem governed by a transport equation. This approach bears similarities…

Computer Vision and Pattern Recognition · Computer Science 2010-08-04 Kanglin Chen , Dirk A. Lorenz

Deep generative models have become increasingly effective at producing realistic images from randomly sampled seeds, but using such models for controllable manipulation of existing images remains challenging. We propose the Swapping…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Taesung Park , Jun-Yan Zhu , Oliver Wang , Jingwan Lu , Eli Shechtman , Alexei A. Efros , Richard Zhang

Neural rendering techniques promise efficient photo-realistic image synthesis while at the same time providing rich control over scene parameters by learning the physical image formation process. While several supervised methods have been…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Hassan Abu Alhaija , Siva Karthik Mustikovela , Justus Thies , Varun Jampani , Matthias Nießner , Andreas Geiger , Carsten Rother

Image interpolation is a special case of image super-resolution, where the low-resolution image is directly down-sampled from its high-resolution counterpart without blurring and noise. Therefore, assumptions adopted in super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Junchao Zhang

Optimal Transport (OT) theory investigates the cost-minimizing transport map that moves a source distribution to a target distribution. Recently, several approaches have emerged for learning the optimal transport map for a given cost…

Machine Learning · Computer Science 2025-04-01 Jaemoo Choi , Yongxin Chen , Jaewoong Choi

When approximating a function that depends on a parameter, one encounters many practical examples where linear interpolation or linear approximation with respect to the parameters prove ineffective. This is particularly true for responses…

Numerical Analysis · Mathematics 2018-12-27 Donsub Rim , Kyle T. Mandli

It can be shown that Stable Diffusion has a permutation-invariance property with respect to the rows of Contrastive Language-Image Pretraining (CLIP) embedding matrices. This inspired the novel observation that these embeddings can…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Nicholas Karris , Luke Durell , Javier Flores , Tegan Emerson

We study the problem of generating intermediate images from image pairs with large motion while maintaining semantic consistency. Due to the large motion, the intermediate semantic information may be absent in input images. Existing methods…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Liao Shen , Tianqi Liu , Huiqiang Sun , Xinyi Ye , Baopu Li , Jianming Zhang , Zhiguo Cao

Image synthesis is a core problem in modern deep learning, and many recent architectures such as autoencoders and Generative Adversarial networks produce spectacular results on highly complex data, such as images of faces or landscapes.…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Alasdair Newson , Andrés Almansa , Yann Gousseau , Saïd Ladjal

Data for pretraining machine learning models often consists of collections of heterogeneous datasets. Although training on their union is reasonable in agnostic settings, it might be suboptimal when the target domain -- where the model will…

Machine Learning · Computer Science 2023-06-13 Jiaojiao Fan , David Alvarez-Melis

We consider some iterative methods for finding the best interpolation data in the images compression with noise. The interpolation data consists of the set of pixels and their grey/color values. The aim in the iterative approach is to allow…

Analysis of PDEs · Mathematics 2022-09-30 Zakaria Belhachmi , Thomas Jacumin

With the inexorable digitalisation of the modern world, every subset in the field of technology goes through major advancements constantly. One such subset is digital images which are ever so popular. Images can not always be as visually…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Prashanth Venkataraman

In physical science, sensor data are collected over time to produce timeseries data. However, depending on the real-world condition and underlying physics of the sensor, data might be noisy. Besides, the limitation of sample-time on sensors…

Machine Learning · Statistics 2021-01-07 Rahul Bhadani

The simplest way to obtain continuous interpolation between two points in high dimensional space is to draw a line between them. While previous works focused on the general connectivity between model parameters, we explored linear…

Computation and Language · Computer Science 2022-11-23 Mark Rofin , Nikita Balagansky , Daniil Gavrilov

The modeling of phenomenological structure is a crucial aspect in inverse imaging problems. One emerging modeling tool in computational imaging is the optimal transport framework. Its ability to model geometric displacements across an…

Image and Video Processing · Electrical Eng. & Systems 2020-05-12 John Lee , Nicholas P. Bertrand , Christopher J. Rozell

This paper studies path synthesis for nonholonomic mobile robots moving in two-dimensional space. We first address the problem of interpolating paths expressed as sequences of straight line segments, such as those produced by some planning…

Robotics · Computer Science 2015-08-12 Stéphane Lens , Bernard Boigelot
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