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Dimensionality reduction techniques are widely used for visualizing high-dimensional data. However, support for interpreting patterns of dimension reduction results in the context of the original data space is often insufficient.…

Human-Computer Interaction · Computer Science 2024-04-15 Brian Montambault , Gabriel Appleby , Jen Rogers , Camelia D. Brumar , Mingwei Li , Remco Chang

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

We examine implicit representations of parametric or point cloud models, based on interpolation matrices, which are not sensitive to base points. We show how interpolation matrices can be used for ray shooting of a parametric ray with a…

Algebraic Geometry · Mathematics 2017-06-09 Ioannis Z. Emiris , Christos Konaxis , Ilias S. Kotsireas , Clement Laroche

Generating high-fidelity 3D geometries that satisfy specific parameter constraints has broad applications in design and engineering. However, current methods typically rely on large training datasets and struggle with controllability and…

Machine Learning · Computer Science 2026-01-21 Ghadi Nehme , Yanxia Zhang , Dule Shu , Matt Klenk , Faez Ahmed

Existing video frame interpolation methods can only interpolate the frame at a given intermediate time-step, e.g. 1/2. In this paper, we aim to explore a more generalized kind of video frame interpolation, that at an arbitrary time-step. To…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Shixing Yu , Yiyang Ma , Wenhan Yang , Wei Xiang , Jiaying Liu

This work presents a supervised learning based approach to the computer vision problem of frame interpolation. The presented technique could also be used in the cartoon animations since drawing each individual frame consumes a noticeable…

Computer Vision and Pattern Recognition · Computer Science 2017-06-16 Vladislav Samsonov

We present algorithms for computing the reduced Gr\"{o}bner basis of the vanishing ideal of a finite set of points in a frame of ideal interpolation. Ideal interpolation is defined by a linear projector whose kernel is a polynomial ideal.…

Commutative Algebra · Mathematics 2024-01-17 Xue Jiang , Yihe Gong

Detecting regime shifts in chaotic time series is hard because observation-space signals are entangled with intrinsic variability. We propose Parameter--Space Changepoint Detection (Param--CPD), a two--stage framework that first amortizes…

Machine Learning · Computer Science 2025-12-09 Xiangbo Deng , Cheng Chen , Peng Yang

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

Recently, implicit neural representations (INRs) have attracted increasing attention for multi-dimensional data recovery. However, INRs simply map coordinates via a multi-layer perception (MLP) to corresponding values, ignoring the inherent…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Jiayi Li , Xile Zhao , Jianli Wang , Chao Wang , Min Wang

The versatility of recent machine learning approaches makes them ideal for improvement of next generation video compression solutions. Unfortunately, these approaches typically bring significant increases in computational complexity and are…

Image and Video Processing · Electrical Eng. & Systems 2021-06-18 Luka Murn , Saverio Blasi , Alan F. Smeaton , Marta Mrak

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

We present a novel method to significantly speed up cosmological parameter sampling. The method relies on constructing an interpolation of the CMB-log-likelihood based on sparse grids, which is used as a shortcut for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Mona Frommert , Dirk Pflueger , Thomas Riller , Martin Reinecke , Hans-Joachim Bungartz , Torsten Ensslin

The problem of guaranteed parameter estimation (GPE) consists in enclosing the set of all possible parameter values, such that the model predictions match the corresponding measurements within prescribed error bounds. One of the bottlenecks…

Numerical Analysis · Mathematics 2018-10-30 Junyan Su , Yanlin Zha , Kai Wang , Mario E. Villanueva , Radoslav Paulen , Boris Houska

Robotic laser profiling is widely used for dimensional verification and surface inspection, yet measurement fidelity is often dominated by sensor configuration rather than robot motion. Industrial profilers expose multiple coupled…

Robotics · Computer Science 2026-05-06 Zhiling Chen , David Gorsich , Matthew P. Castanier , Yang Zhang , Jiong Tang , Farhad Imani

Given the widespread availability of grids of models for stellar atmospheres, it is necessary to recover intermediate atmospheric models by means of accurate techniques that go beyond simple linear interpolation and capture the intricacies…

Instrumentation and Methods for Astrophysics · Physics 2023-07-26 C. Westendorp Plaza , A. Asensio Ramos , C. Allende Prieto

The generation of high-fidelity view synthesis is essential for robotic navigation and interaction but remains challenging, particularly in indoor environments and real-time scenarios. Existing techniques often require significant…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Sen Wang , Qing Cheng , Stefano Gasperini , Wei Zhang , Shun-Cheng Wu , Niclas Zeller , Daniel Cremers , Nassir Navab

Encoding 3D points is one of the primary steps in learning-based implicit scene representation. Using features that gather information from neighbors with multi-resolution grids has proven to be the best geometric encoder for this task.…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Arihant Gaur , G. Dias Pais , Pedro Miraldo

Mixup refers to interpolation-based data augmentation, originally motivated as a way to go beyond empirical risk minimization (ERM). Its extensions mostly focus on the definition of interpolation and the space (input or feature) where it…

Machine Learning · Computer Science 2023-11-10 Shashanka Venkataramanan , Ewa Kijak , Laurent Amsaleg , Yannis Avrithis

We present a prototype of a software tool for exploration of multiple combinatorial optimisation problems in large real-world and synthetic complex networks. Our tool, called GraphCombEx (an acronym of Graph Combinatorial Explorer),…

Social and Information Networks · Computer Science 2018-05-15 David Chalupa , Ken A Hawick