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Actively planning sensor views during object reconstruction is crucial for autonomous mobile robots. An effective method should be able to strike a balance between accuracy and efficiency. In this paper, we propose a seamless integration of…

Robotics · Computer Science 2024-05-29 Dongyu Yan , Jianheng Liu , Fengyu Quan , Haoyao Chen , Mengmeng Fu

We initiate an investigation of learning tasks in a setting where the learner is given access to two competing provers, only one of which is honest. Specifically, we consider the power of such learners in assessing purported properties of…

Machine Learning · Statistics 2026-03-13 Ran Canetti , Ephraim Linder , Connor Wagaman

A common approach to compute distances on continuous surfaces is by considering a discretized polygonal mesh approximating the surface and estimating distances on the polygon. We show that exact geodesic distances restricted to the polygon…

Image and Video Processing · Electrical Eng. & Systems 2026-02-27 Saar Huberman , Amit Bracha , Ron Kimmel

Many geometric estimation problems take the form of synchronization over the special Euclidean group: estimate the values of a set of poses given noisy measurements of a subset of their pairwise relative transforms. This problem is…

Robotics · Computer Science 2017-02-13 David M. Rosen , Luca Carlone , Afonso S. Bandeira , John J. Leonard

We consider the problem of multi-class classification, where a stream of adversarially chosen queries arrive and must be assigned a label online. Unlike traditional bounds which seek to minimize the misclassification rate, we minimize the…

Machine Learning · Computer Science 2021-11-17 Guru Guruganesh , Allen Liu , Jon Schneider , Joshua Wang

We study the Approximate Nearest Neighbor problem for metric spaces where the query points are constrained to lie on a subspace of low doubling dimension, while the data is high-dimensional. We show that this problem can be solved…

Computational Geometry · Computer Science 2012-09-19 Sariel Har-Peled , Nirman Kumar

\ac{fl} proposed a distributed \ac{ml} framework where every distributed worker owns a complete copy of global model and their own data. The training is occurred locally, which assures no direct transmission of training data. However, the…

Cryptography and Security · Computer Science 2021-11-08 Jia Qian , Hiba Nassar , Lars Kai Hansen

Maximum likelihood iteration is one of the most commonly used reconstruction algorithms in quantum tomography. The main appeal of the method is that it is easy to implement and that it converges reliably to a physically meaningful density…

Quantum Physics · Physics 2025-08-21 Florian Oberender

Local learning of sparse image models has proven to be very effective to solve inverse problems in many computer vision applications. To learn such models, the data samples are often clustered using the K-means algorithm with the Euclidean…

Computer Vision and Pattern Recognition · Computer Science 2016-04-20 Julio Cesar Ferreira , Elif Vural , Christine Guillemot

We study the problem of searching for a target at some unknown location in $\mathbb{R}^d$ when additional information regarding the position of the target is available in the form of predictions. In our setting, predictions come as…

Computational Geometry · Computer Science 2025-04-08 Sergio Cabello , Panos Giannopoulos

Neural implicit representations, which encode a surface as the level set of a neural network applied to spatial coordinates, have proven to be remarkably effective for optimizing, compressing, and generating 3D geometry. Although these…

Computer Vision and Pattern Recognition · Computer Science 2022-06-27 Nicholas Sharp , Alec Jacobson

Motivated by the structure reconstruction problem in single-particle cryo-electron microscopy, we consider the multi-target detection model, where multiple copies of a target signal occur at unknown locations in a long measurement, further…

Information Theory · Computer Science 2020-04-22 Ti-Yen Lan , Tamir Bendory , Nicolas Boumal , Amit Singer

Similarity learning has received a large amount of interest and is an important tool for many scientific and industrial applications. In this framework, we wish to infer the distance (similarity) between points with respect to an arbitrary…

Machine Learning · Statistics 2016-11-30 Michael Rabadi

Neural implicit surface reconstruction using volume rendering techniques has recently achieved significant advancements in creating high-fidelity surfaces from multiple 2D images. However, current methods primarily target scenes with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Lintao Xiang , Hongpei Zheng , Bailin Deng , Hujun Yin

In this paper, we define a new problem of recovering the 3D geometry of an object confined in a transparent enclosure. We also propose a novel method for solving this challenging problem. Transparent enclosures pose challenges of multiple…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Jinguang Tong , Sundaram Muthu , Fahira Afzal Maken , Chuong Nguyen , Hongdong Li

The objective of this work is to quantify the reconstruction error in sparse inverse problems with measures and stochastic noise, motivated by optimal sensor placement. To be useful in this context, the error quantities must be explicit in…

Numerical Analysis · Mathematics 2024-04-19 Phuoc-Truong Huynh , Konstantin Pieper , Daniel Walter

The challenge of approximating functions in infinite-dimensional spaces from finite samples is widely regarded as formidable. We delve into the challenging problem of the numerical approximation of Sobolev-smooth functions defined on…

Optimization and Control · Mathematics 2024-10-11 Massimo Fornasier , Pascal Heid , Giacomo Enrico Sodini

Recovering high-resolution images from limited sensory data typically leads to a serious ill-posed inverse problem, demanding inversion algorithms that effectively capture the prior information. Learning a good inverse mapping from training…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Morteza Mardani , Qingyun Sun , Shreyas Vasawanala , Vardan Papyan , Hatef Monajemi , John Pauly , David Donoho

We explore and expand the $\textit{Soft Nearest Neighbor Loss}$ to measure the $\textit{entanglement}$ of class manifolds in representation space: i.e., how close pairs of points from the same class are relative to pairs of points from…

Machine Learning · Statistics 2019-02-07 Nicholas Frosst , Nicolas Papernot , Geoffrey Hinton

Accurate reconstruction of both the geometric and topological details of a 3D object from a single 2D image embodies a fundamental challenge in computer vision. Existing explicit/implicit solutions to this problem struggle to recover…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Mohammad Samiul Arshad , William J. Beksi