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In this paper, we discuss a novel model reduction framework for generalized linear systems. The transfer functions of these systems are assumed to have a special structure, e.g., coming from second-order linear systems and time-delay…

Numerical Analysis · Mathematics 2019-10-31 Peter Benner , Pawan Goyal , Igor Pontes Duff

We propose deep parameter interpolation (DPI), a general-purpose method for transforming an existing deep neural network architecture into one that accepts an additional scalar input. Recent deep generative models, including diffusion…

Image and Video Processing · Electrical Eng. & Systems 2025-11-27 Chicago Y. Park , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

We propose Parameter Space Analysis through Guided Visual Interpolations (ParamInter), a novel tool for high-dimensional input parameter space analysis by making interpolation towards optimal parameter sets explorable using guided…

Computational Engineering, Finance, and Science · Computer Science 2026-05-05 Benedikt Kantz , Peter Waldert , Stefan Lengauer , Clemens Staudinger , Stefan Schuster , Tobias Schreck

State-of-the-art performance on language understanding tasks is now achieved with increasingly large networks; the current record holder has billions of parameters. Given a language model pre-trained on massive unlabeled text corpora, only…

Computation and Language · Computer Science 2020-04-30 Evani Radiya-Dixit , Xin Wang

It is often possible to perform reduced order modelling by specifying linear subspace which accurately captures the dynamics of the system. This approach becomes especially appealing when linear subspace explicitly depends on parameters of…

Machine Learning · Computer Science 2026-04-17 Vladimir Fanaskov , Vladislav Trifonov , Alexander Rudikov , Ekaterina Muravleva , Ivan Oseledets

Temporal interpolation often plays a crucial role to learn meaningful representations in dynamic scenes. In this paper, we propose a novel method to train spatiotemporal neural radiance fields of dynamic scenes based on temporal…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Sungheon Park , Minjung Son , Seokhwan Jang , Young Chun Ahn , Ji-Yeon Kim , Nahyup Kang

We propose Framer for interactive frame interpolation, which targets producing smoothly transitioning frames between two images as per user creativity. Concretely, besides taking the start and end frames as inputs, our approach supports…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Wen Wang , Qiuyu Wang , Kecheng Zheng , Hao Ouyang , Zhekai Chen , Biao Gong , Hao Chen , Yujun Shen , Chunhua Shen

This paper proposes a simple yet effective interpolation-based data augmentation approach termed DoubleMix, to improve the robustness of models in text classification. DoubleMix first leverages a couple of simple augmentation operations to…

Computation and Language · Computer Science 2022-09-13 Hui Chen , Wei Han , Diyi Yang , Soujanya Poria

Transformers are deep neural network architectures that underpin the recent successes of large language models. Unlike more classical architectures that can be viewed as point-to-point maps, a Transformer acts as a measure-to-measure map…

Optimization and Control · Mathematics 2026-02-16 Borjan Geshkovski , Philippe Rigollet , Domènec Ruiz-Balet

A recent family of techniques, dubbed lightweight fine-tuning methods, facilitates parameter-efficient transfer learning by updating only a small set of additional parameters while keeping the parameters of the pretrained language model…

Computation and Language · Computer Science 2022-12-09 Mozhdeh Gheini , Xuezhe Ma , Jonathan May

Flow matching models typically use linear interpolants to define the forward/noise addition process. This, together with the independent coupling between noise and target distributions, yields a vector field which is often non-straight.…

Machine Learning · Computer Science 2025-03-27 Shiv Shankar , Tomas Geffner

This paper introduces data augmentation for point clouds by interpolation between examples. Data augmentation by interpolation has shown to be a simple and effective approach in the image domain. Such a mixup is however not directly…

Computer Vision and Pattern Recognition · Computer Science 2020-08-17 Yunlu Chen , Vincent Tao Hu , Efstratios Gavves , Thomas Mensink , Pascal Mettes , Pengwan Yang , Cees G. M. Snoek

Prompt optimization and fine-tuning are two major approaches to improve the performance of Large Language Models (LLMs). They enhance the capabilities of LLMs from complementary perspectives: the former through explicit natural language,…

Computation and Language · Computer Science 2026-03-03 Xiaohe Bo , Rui Li , Zexu Sun , Quanyu Dai , Zeyu Zhang , Zihang Tian , Xu Chen , Zhenhua Dong

Interpolating between points is a problem connected simultaneously with finding geodesics and study of generative models. In the case of geodesics, we search for the curves with the shortest length, while in the case of generative models we…

Machine Learning · Computer Science 2023-03-14 Łukasz Struski , Michał Sadowski , Tomasz Danel , Jacek Tabor , Igor T. Podolak

We examine the necessity of interpolation in overparameterized models, that is, when achieving optimal predictive risk in machine learning problems requires (nearly) interpolating the training data. In particular, we consider simple…

Machine Learning · Statistics 2022-06-17 Chen Cheng , John Duchi , Rohith Kuditipudi

There is an increasing interest in using image-generating diffusion models for deep data augmentation and image morphing. In this context, it is useful to interpolate between latents produced by inverting a set of input images, in order to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Erik Landolsi , Fredrik Kahl

For nonlinear reduced-order models, especially for those with non-polynomial nonlinearities, the computational complexity still depends on the dimension of the original dynamical system. As a result, the reduced-order model loses its…

Numerical Analysis · Mathematics 2013-04-30 Zhu Wang

Fine-tuning pre-trained generative language models to down-stream language generation tasks has shown promising results. However, this comes with the cost of having a single, large model for each task, which is not ideal in low-memory/power…

Computation and Language · Computer Science 2020-09-22 Zhaojiang Lin , Andrea Madotto , Pascale Fung

The ability to extrapolate, i.e., to make predictions on sequences that are longer than those presented as training examples, is a challenging problem for current deep learning models. Recent work shows that this limitation persists in…

Computation and Language · Computer Science 2022-11-29 Mirelle Bueno , Carlos Gemmell , Jeffrey Dalton , Roberto Lotufo , Rodrigo Nogueira

We present a filter based approach for inbetweening. We train a convolutional neural network to generate intermediate frames. This network aim to generate smooth animation of line drawings. Our method can process scanned images directly.…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 Yuichi Yagi