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Theory interpolation has found several successful applications in model checking. We present a novel method for computing interpolants for ground formulas in the theory of equality. The method produces interpolants from colored congruence…

Logic in Computer Science · Computer Science 2015-07-01 Alexander Fuchs , Amit Goel , Jim Grundy , Sava Krstić , Cesare Tinelli

Text-to-image generation requires large amount of training data to synthesizing high-quality images. For augmenting training data, previous methods rely on data interpolations like cropping, flipping, and mixing up, which fail to introduce…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Senmao Ye , Fei Liu

Hierarchical vector field interpolation introduces a structured probabilistic framework for lexical representation, ensuring that word embeddings transition smoothly across a continuous manifold rather than being constrained to discrete…

Computation and Language · Computer Science 2025-03-27 Clive Pendleton , Ewan Harrington , Giles Fairbrother , Jasper Arkwright , Nigel Fenwick , Richard Katrix

Several machine learning methods aim to learn or reason about complex physical systems. A common first-step towards reasoning is to infer system parameters from observations of its behavior. In this paper, we investigate the performance of…

Computation and Language · Computer Science 2024-02-07 Sean Memery , Mirella Lapata , Kartic Subr

Aligning language models (LMs) with user intent is becoming increasingly relevant to enhance user experience. This calls for designing methods that can allow users to control the properties of the language that LMs generate, for example,…

Computation and Language · Computer Science 2025-09-23 Vinay Samuel , Harshita Diddee , Yiming Zhang , Daphne Ippolito

A method for data-driven interpolatory model reduction is presented in this extended abstract. This framework enables the computation of the transfer function values at given interpolation points based on time-domain input-output data only,…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Azka Muji Burohman , Bart Besselink , Jacquelien M. A. Scherpen , M. Kanat Camlibel

Despite the flexibility and popularity of mixture models, their associated parameter spaces are often difficult to represent due to fundamental identification problems. This paper looks at a novel way of representing such a space for…

Methodology · Statistics 2015-10-16 Vahed Maroufy , Paul Marriott

Sampling is a fundamental technique, and sampling without replacement is often desirable when duplicate samples are not beneficial. Within machine learning, sampling is useful for generating diverse outputs from a trained model. We present…

Machine Learning · Computer Science 2021-07-21 Kensen Shi , David Bieber , Charles Sutton

Existing approaches to controllable generation typically rely on fine-tuning, auxiliary networks, or test-time search. We show that flow matching admits a different control interface: adaptation through examples. For deterministic…

Machine Learning · Computer Science 2026-05-26 Pedro M. P. Curvo , Maksim Zhdanov , Floor Eijkelboom , Jan-Willem van de Meent

We propose a simple, scalable algorithm for using stochastic interpolants to sample from unnormalized densities and for fine-tuning generative models. The approach, Tilt Matching, arises from a dynamical equation relating the flow matching…

Machine Learning · Statistics 2025-12-29 Peter Potaptchik , Cheuk-Kit Lee , Michael S. Albergo

Training of generative models especially Generative Adversarial Networks can easily diverge in low-data setting. To mitigate this issue, we propose a novel implicit data augmentation approach which facilitates stable training and synthesize…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Mengyu Dai , Haibin Hang , Xiaoyang Guo

'lintsampler' provides a Python implementation of a technique we term 'linear interpolant sampling': an algorithm to efficiently draw pseudo-random samples from an arbitrary probability density function (PDF). First, the PDF is evaluated on…

Computation · Statistics 2024-10-10 Aneesh P. Naik , Michael S. Petersen

This contribution introduces a novel signal extrapolation algorithm and its application to image error concealment. The signal extrapolation is carried out by iteratively generating a model of the signal suffering from distortion. Thereby,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-15 Jürgen Seiler , André Kaup

Although pretrained language models can be fine-tuned to produce state-of-the-art results for a very wide range of language understanding tasks, the dynamics of this process are not well understood, especially in the low data regime. Why…

Machine Learning · Computer Science 2020-12-25 Armen Aghajanyan , Luke Zettlemoyer , Sonal Gupta

Fonts have huge variations in their styles and give readers different impressions. Therefore, generating new fonts is worthy of giving new impressions to readers. In this paper, we employ diffusion models to generate new font styles by…

Computer Vision and Pattern Recognition · Computer Science 2024-02-23 Tetta Kondo , Shumpei Takezaki , Daichi Haraguchi , Seiichi Uchida

Large Language Models (LLMs) have revolutionized various applications by generating outputs based on given prompts. However, achieving the desired output requires iterative prompt refinement. This paper presents a novel approach that draws…

Machine Learning · Computer Science 2025-01-22 Rupesh Raj Karn

We revisit the classical problem of 3D shape interpolation and propose a novel, physically plausible approach based on Hamiltonian dynamics. While most prior work focuses on synthetic input shapes, our formulation is designed to be…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Marvin Eisenberger , Daniel Cremers

In CAGD the design of a surface that interpolates an arbitrary quadrilateral mesh is definitely a challenging task. The basic requirement is to satisfy both criteria concerning the regularity of the surface and aesthetic concepts. With…

Numerical Analysis · Mathematics 2016-01-08 Michele Antonelli , Carolina Vittoria Beccari , Giulio Casciola

Recent advancements in large language models demonstrate that injecting perturbations can substantially enhance extrapolation performance. However, current approaches often rely on discrete perturbations with fixed designs, which limits…

Machine Learning · Statistics 2026-05-14 Zetai Cen , Chenfei Gu , Jin Zhu , Ting Li , Yunxiao Chen , Chengchun Shi

We study the interpolation power of deep ReLU neural networks. Specifically, we consider the question of how efficiently, in terms of the number of parameters, deep ReLU networks can interpolate values at $N$ datapoints in the unit ball…

Machine Learning · Computer Science 2025-08-27 Jonathan W. Siegel