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Despite its omnipresence in robotics application, the nature of spatial knowledge and the mechanisms that underlie its emergence in autonomous agents are still poorly understood. Recent theoretical work suggests that the concept of space…

机器学习 · 计算机科学 2018-11-28 Alban Laflaquière , Michael Garcia Ortiz

Locomotion by shape changes (spermatozoon swimming, snake slithering, bird flapping) or gas expulsion (rocket firing) is assumed to require environmental interaction, due to conservation of momentum. As first noted in (Wisdom, 2003) and…

Recently, compressed sensing techniques in combination with both wavelet and directional representation systems have been very effectively applied to the problem of image inpainting. However, a mathematical analysis of these techniques…

泛函分析 · 数学 2012-11-29 Emily J. King , Gitta Kutyniok , Xiaosheng Zhuang

Diffusion models achieve state-of-the-art performance in generating realistic objects and have been successfully applied to images, text, and videos. Recent work has shown that diffusion can also be defined on graphs, including graph…

机器学习 · 计算机科学 2023-02-09 Alex M. Tseng , Nathaniel Diamant , Tommaso Biancalani , Gabriele Scalia

The increasing demand for virtual reality applications has highlighted the significance of crafting immersive 3D assets. We present a text-to-3D 360$^{\circ}$ scene generation pipeline that facilitates the creation of comprehensive…

计算机视觉与模式识别 · 计算机科学 2024-07-26 Shijie Zhou , Zhiwen Fan , Dejia Xu , Haoran Chang , Pradyumna Chari , Tejas Bharadwaj , Suya You , Zhangyang Wang , Achuta Kadambi

Despite recent advances in text-to-image generation, controlling geometric layout and PBR material properties in synthesized scenes remains challenging. We present a pipeline that first produces a G-buffer (albedo, normals, depth,…

图形学 · 计算机科学 2026-02-10 Bowen Xue , Giuseppe Claudio Guarnera , Shuang Zhao , Zahra Montazeri

Problems that require the parameterization of closed contours arise frequently in computer vision applications. This article introduces a new curve parameterization algorithm that is able to fit a closed curve to a set of points while being…

计算机视觉与模式识别 · 计算机科学 2015-04-23 Michael A. Greminger

This work is concerned with a representation of shapes that disentangles fine, local and possibly repeating geometry, from global, coarse structures. Achieving such disentanglement leads to two unrelated advantages: i) a significant…

计算机视觉与模式识别 · 计算机科学 2022-04-06 Luca Morreale , Noam Aigerman , Paul Guerrero , Vladimir G. Kim , Niloy J. Mitra

This study investigates the quantum dynamics of a spin-1/2 particle confined to a curved path from the dynamics of a two-dimensional curved thin-layer system incorporating spin connection contributions. We demonstrate that the geodesic…

量子物理 · 物理学 2025-08-12 Guo-Hua Liang , Ai-Guo Mei , Zhi-Hui Yang , Ze-Lin Wei

The graph structure of a Bayesian network (BN) can be learned from data using the well-known score-and-search approach. Previous work has shown that incorporating structured representations of the conditional probability distributions…

机器学习 · 计算机科学 2022-06-22 Charupriya Sharma , Peter van Beek

Curvature plays a central role in the proper function of many biological processes. With active matter being a standard framework for understanding many aspects of the physics of life, it is natural to ask what effect curvature has on the…

软凝聚态物质 · 物理学 2026-01-27 Euan D. Mackay , Giulia Janzen , D. A. Matoz Fernandez , Rastko Sknepnek

Physics-Informed Neural Networks (PINNs) provide a mesh-free approach for solving differential equations by embedding physical constraints into neural network training. However, PINNs tend to overfit within the training domain, leading to…

机器学习 · 计算机科学 2026-03-17 Jose Marie Antonio Miñoza

We propose a novel unsupervised learning approach to 3D shape correspondence that builds a multiscale matching pipeline into a deep neural network. This approach is based on smooth shells, the current state-of-the-art axiomatic…

计算机视觉与模式识别 · 计算机科学 2020-10-30 Marvin Eisenberger , Aysim Toker , Laura Leal-Taixé , Daniel Cremers

LiDAR scene flow estimation is essential for autonomous driving, as it provides 3D motion for each point. Self-supervised approaches use static-dynamic classification to mitigate the imbalance between static and dynamic points, deriving…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Youngdong Jang , Gyeongrok Oh , Jong Wook Kim , Hyunju Ryu , Hyung-gun Chi , SeungHyeon Kim , Seungryong Kim , Jonghyun Choi , Sangpil Kim

Diffusion models have emerged as powerful tools for high-quality image generation and editing, but guiding these models to produce specific outputs remains a challenge. Conventional approaches rely on conditioning mechanisms, such as text…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Nithesh Chandher Karthikeyan , Jonas Unger , Gabriel Eilertsen

Most computational accounts of cognitive maps assume that stability is achieved primarily through sensory anchoring, with self-motion contributing to incremental positional updates only. However, biological spatial representations often…

神经元与认知 · 定量生物学 2025-12-24 Yingchao Yu , Pengfei Sun , Yaochu Jin , Kuangrong Hao , Hao Zhang , Yifeng Zhang , Wenxuan Pan , Wei Chen , Danyal Akarca , Yuchen Xiao

Motivated by the problem of pursuit-evasion, we present a motion planning framework that combines energy-based diffusion models with artificial potential fields for robust real time trajectory generation in complex environments. Our…

机器人学 · 计算机科学 2025-10-17 Wondmgezahu Teshome , Kian Behzad , Octavia Camps , Michael Everett , Milad Siami , Mario Sznaier

This paper presents a novel control algorithm for robotic manipulators in unstructured environments using proximity sensors partially distributed on the platform. The proposed approach exploits arrays of multi zone Time-of-Flight (ToF)…

机器人学 · 计算机科学 2024-12-09 Simone Borelli , Francesco Giovinazzo , Francesco Grella , Giorgio Cannata

A mixed continuous / discontinuous Galerkin scheme is introduced for the simulation of fluid-structure interaction problems in an isogeometric analysis framework. The properties of Non-Uniform Rational B-Spline basis functions are leveraged…

偏微分方程分析 · 数学 2026-02-17 Régis Duvigneau

This paper introduces a new approach to analyzing spatial point data clustered along or around a system of curves or "fibres." Such data arise in catalogues of galaxy locations, recorded locations of earthquakes, aerial images of minefields…

统计方法学 · 统计学 2012-10-01 Bryony J. Hill , Wilfrid S. Kendall , Elke Thönnes