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In implicit models, one often interpolates between sampled points in latent space. As we show in this paper, care needs to be taken to match-up the distributional assumptions on code vectors with the geometry of the interpolating paths.…

Machine Learning · Computer Science 2018-02-05 Yannic Kilcher , Aurelien Lucchi , Thomas Hofmann

A prescription is presented for the interpolation between multi-dimensional distribution templates based on one or multiple model parameters. The technique uses a linear combination of templates, each created using fixed values of the…

Data Analysis, Statistics and Probability · Physics 2014-10-29 Max Baak , Stefan Gadatsch , Robert Harrington , Wouter Verkerke

As large language models (LLMs) have gained popularity for a variety of use cases, making them adaptable and controllable has become increasingly important, especially for user-facing applications. While the existing literature on LLM…

Computation and Language · Computer Science 2025-09-30 Sara Kangaslahti , David Alvarez-Melis

One little-explored frontier of image generation and editing is the task of interpolating between two input images, a feature missing from all currently deployed image generation pipelines. We argue that such a feature can expand the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Clinton J. Wang , Polina Golland

In order to generate novel 3D shapes with machine learning, one must allow for interpolation. The typical approach for incorporating this creative process is to interpolate in a learned latent space so as to avoid the problem of generating…

Graphics · Computer Science 2020-01-28 Austin Dill , Songwei Ge , Eunsu Kang , Chun-Liang Li , Barnabas Poczos

The underlying geometrical structure of the latent space in deep generative models is in most cases not Euclidean, which may lead to biases when comparing interpolation capabilities of two models. Smoothness and plausibility of linear…

Machine Learning · Computer Science 2021-05-11 Mike Yan Michelis , Quentin Becker

Large Language Models (LLMs) require instruction fine-tuning to perform different downstream tasks. However, the instruction fine-tuning phase still demands significant computational resources and labeled data, lacking a paradigm that can…

Computation and Language · Computer Science 2025-03-10 Yiguan Lin , Bin Xu , Yinghao Li , Yang Gao

We present a deep network interpolation strategy for accelerated parallel MR image reconstruction. In particular, we examine the network interpolation in parameter space between a source model that is formulated in an unrolled scheme with…

Image and Video Processing · Electrical Eng. & Systems 2020-07-14 Chen Qin , Jo Schlemper , Kerstin Hammernik , Jinming Duan , Ronald M Summers , Daniel Rueckert

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

With the development of speech synthesis, recent research has focused on challenging tasks, such as speaker generation and emotion intensity control. Attribute interpolation is a common approach to these tasks. However, most previous…

Sound · Computer Science 2024-07-02 Masato Murata , Koichi Miyazaki , Tomoki Koriyama

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

This paper addresses the problem of interpolating visual textures. We formulate this problem by requiring (1) by-example controllability and (2) realistic and smooth interpolation among an arbitrary number of texture samples. To solve it we…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Ning Yu , Connelly Barnes , Eli Shechtman , Sohrab Amirghodsi , Michal Lukac

Post-training alignment has increasingly become a crucial factor in enhancing the usability of language models (LMs). However, the strength of alignment varies depending on individual preferences. This paper proposes a method to incorporate…

Computation and Language · Computer Science 2026-01-13 Wenhong Zhu , Weinan Zhang , Rui Wang

Model merging, typically on Instruct and Thinking models, has shown remarkable performance for efficient reasoning. In this paper, we systematically revisit the simplest merging method that interpolates two weights directly. Particularly,…

Artificial Intelligence · Computer Science 2026-01-27 Taiqiang Wu , Runming Yang , Tao Liu , Jiahao Wang , Ngai Wong

We develop a formal framework for the behavioral comparison of linear systems across different time domains. We accomplish this by introducing the notion of system interpolation, which determines whether the input-state trajectories of a…

Optimization and Control · Mathematics 2026-02-26 Armin Pirastehzad , Bart Besselink

Guided upsampling is an effective approach for accelerating high-resolution image processing. In this paper, we propose a simple yet effective guided upsampling method. Each pixel in the high-resolution image is represented as a linear…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Shuangbing Song , Fan Zhong , Tianju Wang , Xueying Qin , Changhe Tu

Latent-space interpolation is commonly used to demonstrate the generalization ability of deep latent variable models. Various algorithms have been proposed to calculate the best trajectory between two encodings in the latent space. In this…

Machine Learning · Computer Science 2021-10-14 Lu Mi , Tianxing He , Core Francisco Park , Hao Wang , Yue Wang , Nir Shavit

Prediction and interpolation for long-range video data involves the complex task of modeling motion trajectories for each visible object, occlusions and dis-occlusions, as well as appearance changes due to viewpoint and lighting. Optical…

Computer Vision and Pattern Recognition · Computer Science 2019-09-09 Kevin J. Shih , Aysegul Dundar , Animesh Garg , Robert Pottorf , Andrew Tao , Bryan Catanzaro

We present a training-free framework for continuous and controllable image editing at test time for text-conditioned generative models. In contrast to prior approaches that rely on additional training or manual user intervention, we find…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Yigit Ekin , Yossi Gandelsman

Autoencoders are important generative models that, among others, have the ability to interpolate image sequences. However, interpolated images are usually not semantically meaningful.In this paper, motivated by dynamic optimal transport, we…

Optimization and Control · Mathematics 2024-04-16 Xue Feng , Thomas Strohmer
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