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Despite significant advances in the field of deep learning in applications to various fields, explaining the inner processes of deep learning models remains an important and open question. The purpose of this article is to describe and…

Machine Learning · Computer Science 2022-04-20 German Magai , Anton Ayzenberg

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

In this paper, we focus on motion estimation dedicated for non-holonomic ground robots, by probabilistically fusing measurements from the wheel odometer and exteroceptive sensors. For ground robots, the wheel odometer is widely used in pose…

Robotics · Computer Science 2020-10-13 Mingming Zhang , Xingxing Zuo , Yiming Chen , Yong Liu , Mingyang Li

Geospatial observational datasets are often limited to point measurements, making temporal prediction and spatial interpolation essential for constructing continuous fields. This study evaluates two deep learning strategies for addressing…

Machine Learning · Computer Science 2025-12-01 Anna Pazola , Mohammad Shamsudduha , Richard G. Taylor , Allan Tucker

Although 3D shape matching and interpolation are highly interrelated, they are often studied separately and applied sequentially to relate different 3D shapes, thus resulting in sub-optimal performance. In this work we present a unified…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Dongliang Cao , Marvin Eisenberger , Nafie El Amrani , Daniel Cremers , Florian Bernard

Patterns of human motion in outdoor and indoor environments are substantially different due to the scope of the environment and the typical intentions of people therein. While outdoor trajectory forecasting has received significant…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Luigi Capogrosso , Andrea Toaiari , Andrea Avogaro , Uzair Khan , Aditya Jivoji , Franco Fummi , Marco Cristani

We present a learning-based method for interpolating and manipulating 3D shapes represented as point clouds, that is explicitly designed to preserve intrinsic shape properties. Our approach is based on constructing a dual encoding space…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Marie-Julie Rakotosaona , Maks Ovsjanikov

We propose a novel manifold based geometric approach for learning unsupervised alignment of word embeddings between the source and the target languages. Our approach formulates the alignment learning problem as a domain adaptation problem…

Machine Learning · Computer Science 2020-04-21 Pratik Jawanpuria , Mayank Meghwanshi , Bamdev Mishra

Invoking the manifold assumption in machine learning requires knowledge of the manifold's geometry and dimension, and theory dictates how many samples are required. However, in applications data are limited, sampling may not be uniform, and…

Machine Learning · Computer Science 2023-03-02 Luciano Dyballa , Steven W. Zucker

We propose a non grid-based interpolation scheme based on the information from the data collected from the vicinity of the query point. As a non-grid-based interpolation, the data points can be distributed randomly in a small region, and…

Numerical Analysis · Mathematics 2016-09-21 Kai Lin , Wei-Liang Qian

This paper presents an algorithm for indoor layout estimation and reconstruction through the fusion of a sequence of captured images and LiDAR data sets. In the proposed system, a movable platform collects both intensity images and 2D LiDAR…

Computer Vision and Pattern Recognition · Computer Science 2020-01-16 Jieyu Li , Robert L Stevenson

Manifold Learning is a class of algorithms seeking a low-dimensional non-linear representation of high-dimensional data. Thus manifold learning algorithms are, at least in theory, most applicable to high-dimensional data and sample sizes to…

Machine Learning · Computer Science 2016-03-10 James McQueen , Marina Meila , Jacob VanderPlas , Zhongyue Zhang

Interior-point methods offer a highly versatile framework for convex optimization that is effective in theory and practice. A key notion in their theory is that of a self-concordant barrier. We give a suitable generalization of…

Optimization and Control · Mathematics 2024-06-26 Hiroshi Hirai , Harold Nieuwboer , Michael Walter

Autoencoding is a popular method in representation learning. Conventional autoencoders employ symmetric encoding-decoding procedures and a simple Euclidean latent space to detect hidden low-dimensional structures in an unsupervised way.…

Machine Learning · Computer Science 2024-10-07 Stefan C. Schonsheck , Scott Mahan , Timo Klock , Alexander Cloninger , Rongjie Lai

Navigation inside a closed area with no GPS-signal accessibility is a highly challenging task. In order to tackle this problem, recently the imaging-based methods have grabbed the attention of many researchers. These methods either extract…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Ali Ghofrani , Rahil Mahdian Toroghi , Seyed Mojtaba Tabatabaie

Depth estimation, as a necessary clue to convert 2D images into the 3D space, has been applied in many machine vision areas. However, to achieve an entire surrounding 360-degree geometric sensing, traditional stereo matching algorithms for…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Keyang Zhou , Kailun Yang , Kaiwei Wang

A diverse range of interpolation methods, including Kriging, spline/minimum curvature and radial basis function interpolation exist for interpolating spatially incomplete geoscientific data. Such methods use various spatial properties of…

Methodology · Statistics 2025-04-23 Arya Kimiaghalam , Andrei Swidinsky , Mohammad Parsa

Visual localization in large and complex indoor scenes, dominated by weakly textured rooms and repeating geometric patterns, is a challenging problem with high practical relevance for applications such as Augmented Reality and robotics. To…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Hajime Taira , Ignacio Rocco , Jiri Sedlar , Masatoshi Okutomi , Josef Sivic , Tomas Pajdla , Torsten Sattler , Akihiko Torii

Recently manifold learning algorithm for dimensionality reduction attracts more and more interests, and various linear and nonlinear, global and local algorithms are proposed. The key step of manifold learning algorithm is the neighboring…

Methodology · Statistics 2017-04-14 Lin Ma , Caifa Zhou , Xi Liu , Yubin Xu

Evolving Internet-of-Things (IoT) applications often require the use of sensor-based indoor tracking and positioning, for which the performance is significantly improved by identifying the type of the surrounding indoor environment. This…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Mohamed I. AlHajri , Nazar T. Ali , Raed M. Shubair