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Why and how that deep learning works well on different tasks remains a mystery from a theoretical perspective. In this paper we draw a geometric picture of the deep learning system by finding its analogies with two existing geometric…

机器学习 · 计算机科学 2017-10-31 Xiao Dong , Jiasong Wu , Ling Zhou

While state of the art image segmentation models typically output segmentations in raster format, applications in geographic information systems often require vector polygons. To help bridge the gap between deep network output and the…

计算机视觉与模式识别 · 计算机科学 2021-04-01 Nicolas Girard , Dmitriy Smirnov , Justin Solomon , Yuliya Tarabalka

Geometry problem solving, a crucial aspect of mathematical reasoning, is vital across various domains, including education, the assessment of AI's mathematical abilities, and multimodal capability evaluation. The recent surge in deep…

计算与语言 · 计算机科学 2025-08-25 Jianzhe Ma , Wenxuan Wang , Qin Jin

Researchers have now achieved great success on dealing with 2D images using deep learning. In recent years, 3D computer vision and Geometry Deep Learning gain more and more attention. Many advanced techniques for 3D shapes have been…

图形学 · 计算机科学 2020-04-16 Yun-Peng Xiao , Yu-Kun Lai , Fang-Lue Zhang , Chunpeng Li , Lin Gao

Deep Neural Networks achieve state-of-the-art results in many different problem settings by exploiting vast amounts of training data. However, collecting, storing and - in the case of supervised learning - labelling the data is expensive…

计算机视觉与模式识别 · 计算机科学 2023-03-06 Matthias Rath , Alexandru Paul Condurache

Deep learning is the mainstream technique for many machine learning tasks, including image recognition, machine translation, speech recognition, and so on. It has outperformed conventional methods in various fields and achieved great…

机器学习 · 计算机科学 2018-06-01 Na Lei , Zhongxuan Luo , Shing-Tung Yau , David Xianfeng Gu

This paper investigates the foundations of deep learning through insight of geometry, algebra and differential calculus. At is core, artificial intelligence relies on assumption that data and its intrinsic structure can be embedded into…

微分几何 · 数学 2025-10-22 Tsemo Aristide

3D geometry is a very informative cue when interacting with and navigating an environment. This writing proposes a new approach to 3D reconstruction and scene understanding, which implicitly learns 3D geometry from depth maps pairing a deep…

计算机视觉与模式识别 · 计算机科学 2018-08-22 Dario Rethage , Federico Tombari , Felix Achilles , Nassir Navab

Deep networks for image classification often rely more on texture information than object shape. While efforts have been made to make deep-models shape-aware, it is often difficult to make such models simple, interpretable, or rooted in…

计算机视觉与模式识别 · 计算机科学 2023-05-24 Rajhans Singh , Ankita Shukla , Pavan Turaga

Deep learning has enabled remarkable improvements in grasp synthesis for previously unseen objects from partial object views. However, existing approaches lack the ability to explicitly reason about the full 3D geometry of the object when…

机器人学 · 计算机科学 2020-03-19 Mark Van der Merwe , Qingkai Lu , Balakumar Sundaralingam , Martin Matak , Tucker Hermans

This is a master's thesis concerning the theoretical ideas of geometric deep learning. Geometric deep learning aims to provide a structured characterization of neural network architectures, specifically focused on the ideas of invariance…

机器学习 · 计算机科学 2023-01-24 Gerrit Nolte

The characterization of dynamical processes in living systems provides important clues for their mechanistic interpretation and link to biological functions. Thanks to recent advances in microscopy techniques, it is now possible to…

数据分析、统计与概率 · 物理学 2023-11-29 Jesús Pineda , Benjamin Midtvedt , Harshith Bachimanchi , Sergio Noé , Daniel Midtvedt , Giovanni Volpe , Carlo Manzo

Consumer electronic devices such as mobile handsets, goods tagged with RFID labels, location and position sensors are continuously generating a vast amount of location enriched data called geospatial data. Conventionally such geospatial…

人工智能 · 计算机科学 2020-09-01 Arvind W. Kiwelekar , Geetanjali S. Mahamunkar , Laxman D. Netak , Valmik B Nikam

We present a Gaussian kernel loss function and training algorithm for convolutional neural networks that can be directly applied to both distance metric learning and image classification problems. Our method treats all training features…

计算机视觉与模式识别 · 计算机科学 2018-07-03 Benjamin J. Meyer , Ben Harwood , Tom Drummond

In recent years, with the rapid development of computer information technology, the development of artificial intelligence has been accelerating. The traditional geometry recognition technology is relatively backward and the recognition…

计算机视觉与模式识别 · 计算机科学 2024-04-26 Ruiyang Wang , Haonan Wang , Junfeng Sun , Mingjia Zhao , Meng Liu

The task of room layout estimation is to locate the wall-floor, wall-ceiling, and wall-wall boundaries. Most recent methods solve this problem based on edge/keypoint detection or semantic segmentation. However, these approaches have shown…

计算机视觉与模式识别 · 计算机科学 2020-08-17 Weidong Zhang , Wei Zhang , Yinda Zhang

How to balance training accuracy and adversarial robustness has become a challenge since the birth of deep learning. Here, we introduce a geometry-aware deep learning framework that leverages layer-wise local training to sculpt the internal…

机器学习 · 计算机科学 2025-09-05 Yixiong Ren , Wenkang Du , Jianhui Zhou , Haiping Huang

Establishing accurate morphological measurements of galaxies in a reasonable amount of time for future big-data surveys such as EUCLID, the Large Synoptic Survey Telescope or the Wide Field Infrared Survey Telescope is a challenge. Because…

天体物理仪器与方法 · 物理学 2017-06-14 D. Tuccillo , M. Huertas-Company , E. Decenciere , S. Velasco-Forero

Learning on 3D structures of large biomolecules is emerging as a distinct area in machine learning, but there has yet to emerge a unifying network architecture that simultaneously leverages the graph-structured and geometric aspects of the…

生物大分子 · 定量生物学 2021-05-18 Bowen Jing , Stephan Eismann , Patricia Suriana , Raphael J. L. Townshend , Ron Dror

We study the problem of how to build a deep learning representation for 3D shape. Deep learning has shown to be very effective in variety of visual applications, such as image classification and object detection. However, it has not been…

计算机视觉与模式识别 · 计算机科学 2014-09-26 Zhuotun Zhu , Xinggang Wang , Song Bai , Cong Yao , Xiang Bai
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