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In this paper we explore how machine learning techniques can be applied to the discovery of efficient mathematical identities. We introduce an attribute grammar framework for representing symbolic expressions. Given a set of grammar rules…

Machine Learning · Computer Science 2014-11-07 Wojciech Zaremba , Karol Kurach , Rob Fergus

An increasingly common viewpoint is that protein dynamics data sets reside in a non-linear subspace of low conformational energy. Ideal data analysis tools for such data sets should therefore account for such non-linear geometry. The…

Biomolecules · Quantitative Biology 2023-10-27 Willem Diepeveen , Carlos Esteve-Yagüe , Jan Lellmann , Ozan Öktem , Carola-Bibiane Schönlieb

We present a new numerical method for the isometric embedding of 2-geometries specified by their 2-metrics in three dimensional Euclidean space. Our approach is to directly solve the fundamental embedding equation supplemented by six…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Wolfgang Tichy , Jonathan R. McDonald , Warner A. Miller

In the wild, we often encounter collections of sequential data such as electrocardiograms, motion capture, genomes, and natural language, and sequences may be multichannel or symbolic with nonlinear dynamics. We introduce a new method to…

Machine Learning · Computer Science 2024-06-12 Jonathan Y. Zhou , Yao Xie

This paper introduces a novel approach that combines unsupervised active contour models with deep learning for robust and adaptive image segmentation. Indeed, traditional active contours, provide a flexible framework for contour evolution…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Antoine Habis , Vannary Meas-Yedid , Elsa Angelini , Jean-Christophe Olivo-Marin

Enterprise software companies maintain thousands of user interface screens across products and versions, creating critical challenges for design consistency, pattern discovery, and compliance check. Existing approaches rely on visual…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Maroun Ayli , Youssef Bakouny , Tushar Sharma , Nader Jalloul , Hani Seifeddine , Rima Kilany

The ability to handle large scale graph data is crucial to an increasing number of applications. Much work has been dedicated to supporting basic graph operations such as subgraph matching, reachability, regular expression matching, etc. In…

Databases · Computer Science 2012-05-31 Zhao Sun , Hongzhi Wang , Haixun Wang , Bin Shao , Jianzhong Li

Discovering governing equations of complex network dynamics is a fundamental challenge in contemporary science with rich data, which can uncover the mysterious patterns and mechanisms of the formation and evolution of complex phenomena in…

Artificial Intelligence · Computer Science 2024-11-12 Jiao Hu , Jiaxu Cui , Bo Yang

We present a general and modular algorithmic framework for path planning of robots. Our framework combines geometric methods for exact and complete analysis of low-dimensional configuration spaces, together with practical, considerably…

Computational Geometry · Computer Science 2015-09-17 Oren Salzman , Michael Hemmer , Barak Raveh , Dan Halperin

Exploiting internal spatial geometric constraints of sparse LiDARs is beneficial to depth completion, however, has been not explored well. This paper proposes an efficient method to learn geometry-aware embedding, which encodes the local…

Computer Vision and Pattern Recognition · Computer Science 2022-06-02 Wenchao Du , Hu Chen , Hongyu Yang , Yi Zhang

We propose scene-adaptive strategies to efficiently allocate representation capacity for generating immersive experiences of indoor environments from incomplete observations. Indoor scenes with multiple rooms often exhibit irregular layouts…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Minkwan Kim , Changwoon Choi , Young Min Kim

Many existing learning-based grasping approaches concentrate on a single embodiment, provide limited generalization to higher DoF end-effectors and cannot capture a diverse set of grasp modes. We tackle the problem of grasping using…

Effective learning of asymmetric and local features in images and other data observed on multi-dimensional grids is a challenging objective critical for a wide range of image processing applications involving biomedical and natural images.…

Methodology · Statistics 2022-10-06 Meng Li , Li Ma

Visual object tracking is a fundamental and time-critical vision task. Recent years have seen many shallow tracking methods based on real-time pixel-based correlation filters, as well as deep methods that have top performance but need a…

Computer Vision and Pattern Recognition · Computer Science 2017-09-15 Chen Huang , Simon Lucey , Deva Ramanan

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

Computing the epipolar geometry between cameras with very different viewpoints is often problematic as matching points are hard to find. In these cases, it has been proposed to use information from dynamic objects in the scene for…

Computer Vision and Pattern Recognition · Computer Science 2017-01-10 Gil Ben-Artzi , Yoni Kasten , Shmuel Peleg , Michael Werman

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

Skeletonization extracts thin representations from images that compactly encode their geometry and topology. These representations have become an important topological prior for preserving connectivity in curvilinear structures, aiding…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Luis D. Reyes Vargas , Martin J. Menten , Johannes C. Paetzold , Nassir Navab , Mohammad Farid Azampour

For uncertainty propagation of highly complex and/or nonlinear problems, one must resort to sample-based non-intrusive approaches [1]. In such cases, minimizing the number of function evaluations required to evaluate the response surface is…

Numerical Analysis · Mathematics 2017-12-04 Anindya Bhaduri , Lori Graham-Brady

Imitation learning is widely used for learning to act in complex environments. While pure neural-based methods handle high dimensional data effectively, they suffer from the requirement of large number of samples and are prone to…

Machine Learning · Computer Science 2026-05-11 Nikhilesh Prabhakar , Varun Balaji , Athresh Karanam , Kristian Kersting , Sriraam Natarajan