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The goal of this paper is to analyze the geometric properties of deep neural network classifiers in the input space. We specifically study the topology of classification regions created by deep networks, as well as their associated decision…

Computer Vision and Pattern Recognition · Computer Science 2017-05-29 Alhussein Fawzi , Seyed-Mohsen Moosavi-Dezfooli , Pascal Frossard , Stefano Soatto

Machine learning techniques are essential tools to compute efficient, yet accurate, force fields for atomistic simulations. This approach has recently been extended to incorporate quantum computational methods, making use of variational…

In the era of foundation models and Large Language Models (LLMs), Euclidean space is the de facto geometric setting of our machine learning architectures. However, recent literature has demonstrated that this choice comes with fundamental…

Computational Geometry · Computer Science 2025-05-21 Menglin Yang , Yifei Zhang , Jialin Chen , Melanie Weber , Rex Ying

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

We present a novel learning framework that consistently embeds underlying physics while bypassing a significant drawback of most modern, data-driven coarse-grained approaches in the context of molecular dynamics (MD), i.e., the availability…

Machine Learning · Computer Science 2020-02-25 Markus Schöberl , Nicholas Zabaras , Phaedon-Stelios Koutsourelakis

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…

Machine Learning · Computer Science 2018-06-01 Na Lei , Zhongxuan Luo , Shing-Tung Yau , David Xianfeng Gu

Learning methods for relative camera pose estimation have been developed largely in isolation from classical geometric approaches. The question of how to integrate predictions from deep neural networks (DNNs) and solutions from geometric…

Computer Vision and Pattern Recognition · Computer Science 2021-04-19 Bingbing Zhuang , Manmohan Chandraker

We present DeepSurfels, a novel hybrid scene representation for geometry and appearance information. DeepSurfels combines explicit and neural building blocks to jointly encode geometry and appearance information. In contrast to established…

Computer Vision and Pattern Recognition · Computer Science 2021-06-01 Marko Mihajlovic , Silvan Weder , Marc Pollefeys , Martin R. Oswald

In this paper, we compare several event classification architectures defined on the point cloud representation of collider events. These approaches, which are based on the frameworks of deep sets and edge convolutions, circumvent many of…

High Energy Physics - Phenomenology · Physics 2023-07-19 Peter Onyisi , Delon Shen , Jesse Thaler

Interoperability issue is a significant problem in Building Information Modeling (BIM). Object type, as a kind of critical semantic information needed in multiple BIM applications like scan-to-BIM and code compliance checking, also suffers…

Computer Vision and Pattern Recognition · Computer Science 2022-12-05 Hairong Luo , Ge Gao , Han Huang , Ziyi Ke , Cheng Peng , Ming Gu

Although large-scale visual foundation models (VFMs) achieve remarkable performance in semantic understanding, they still underperform in instance-aware dense prediction tasks. They exhibit different biases in representation: for instance,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Yachan Guo , JoseLuis Gomez Zurita , Danna Xue , Yi Xiao , AntonioManuel Lopez Pena

An important paradigm in 3D object detection is the use of multiple modalities to enhance accuracy in both normal and challenging conditions, particularly for long-tail scenarios. To address this, recent studies have explored two directions…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Minkyoung Cho , Yulong Cao , Jiachen Sun , Qingzhao Zhang , Marco Pavone , Jeong Joon Park , Heng Yang , Z. Morley Mao

Artificial intelligence offers the potential to automate challenging data-processing tasks in collider physics. To establish its prospects, we explore to what extent deep learning with convolutional neural networks can discriminate quark…

High Energy Physics - Phenomenology · Physics 2018-09-06 Patrick T. Komiske , Eric M. Metodiev , Matthew D. Schwartz

Graph matching aims to establish correspondences between vertices of graphs such that both the node and edge attributes agree. Various learning-based methods were recently proposed for finding correspondences between image key points based…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Zhenzhang Ye , Tarun Yenamandra , Florian Bernard , Daniel Cremers

Majority of the current dimensionality reduction or retrieval techniques rely on embedding the learned feature representations onto a computable metric space. Once the learned features are mapped, a distance metric aids the bridging of gaps…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Muhammad Kamran Janjua , Shah Nawaz , Alessandro Calefati , Ignazio Gallo

We present a novel physics-informed deep learning framework for solving steady-state incompressible flow on multiple sets of irregular geometries by incorporating two main elements: using a point-cloud based neural network to capture…

Fluid Dynamics · Physics 2022-10-28 Ali Kashefi , Tapan Mukerji

Graph embeddings, wherein the nodes of the graph are represented by points in a continuous space, are used in a broad range of Graph ML applications. The quality of such embeddings crucially depends on whether the geometry of the space…

Machine Learning · Statistics 2022-02-03 Francesco Di Giovanni , Giulia Luise , Michael Bronstein

Data heterogeneity in federated learning, characterized by a significant misalignment between local and global distributions, leads to divergent local optimization directions and hinders global model training. Existing studies mainly focus…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Yanbiao Ma , Wei Dai , Wenke Huang , Jiayi Chen

Recently, conceptually new physics beyond the Standard Model has been proposed, where a hidden conformal sector provides ``unparticle'' which couples to the Standard Model sector through higher dimensional operators in low energy effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tatsuru Kikuchi , Nobuchika Okada

A popular testbed for deep learning has been multimodal recognition of human activity or gesture involving diverse inputs such as video, audio, skeletal pose and depth images. Deep learning architectures have excelled on such problems due…

Neural and Evolutionary Computing · Computer Science 2017-07-05 Dhanesh Ramachandram , Michal Lisicki , Timothy J. Shields , Mohamed R. Amer , Graham W. Taylor
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