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With a bird's-eye view, we survey the landscape of Calabi-Yau threefolds, compact and non-compact, smooth and singular. Emphasis will be placed on the algorithms and databases which have been established over the years, and how they have…

高能物理 - 理论 · 物理学 2013-08-20 Yang-Hui He

Neuromorphic Human-Computer Interaction (HCI) is a theoretical approach to designing better user experiences (UX) motivated by advances in the understanding of the neurophysiology of the brain. Inspired by the neuroscientific theory of…

人机交互 · 计算机科学 2026-05-19 Roel Vertegaal , Timothy Merritt , Saul Greenberg , Aneesh P. Tarun , Zhen Li , Zafeirios Fountas

In this work we systematically enumerate genus one fibrations in the class of 7,890 Calabi-Yau manifolds defined as complete intersections in products of projective spaces, the so-called CICY threefolds. This survey is independent of the…

高能物理 - 理论 · 物理学 2017-11-22 Lara B. Anderson , Xin Gao , James Gray , Seung-Joo Lee

As computer networks proliferate, the gravity of network intrusions has escalated, emphasizing the criticality of network intrusion detection systems for safeguarding security. While deep learning models have exhibited promising results in…

密码学与安全 · 计算机科学 2025-05-21 Yifan Zeng

A novel neural network inspired by Cauchy's integral formula, is proposed for function approximation tasks that include time series forecasting, missing data imputation, etc. Hence, the novel neural network is named CauchyNet. By embedding…

机器学习 · 计算机科学 2025-10-14 Hong-Kun Zhang , Xin Li , Sikun Yang , Zhihong Xia

We give two new examples of families of Calabi-Yau complete intersection threefolds whose generic element contains infinitely many lines. We get some results about the normal bundles of these lines and the Hilbert scheme of lines on the…

代数几何 · 数学 2007-05-23 Marcello Bernardara

Calabi-Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. We generate reflexive polytopes in various dimensions using a genetic algorithm. As a proof of principle, we demonstrate that our…

高能物理 - 理论 · 物理学 2024-05-07 Per Berglund , Yang-Hui He , Elli Heyes , Edward Hirst , Vishnu Jejjala , Andre Lukas

Contour information plays a vital role in salient object detection. However, excessive false positives remain in predictions from existing contour-based models due to insufficient contour-saliency fusion. In this work, we designed a network…

计算机视觉与模式识别 · 计算机科学 2021-08-24 Yi Ke Yun , Takahiro Tsubono

Hyperspectral image(HSI) classification has been improved with convolutional neural network(CNN) in very recent years. Being different from the RGB datasets, different HSI datasets are generally captured by various remote sensors and have…

计算机视觉与模式识别 · 计算机科学 2020-02-12 Haokui Zhang , Yu Liu , Bei Fang , Ying Li , Lingqiao Liu , Ian Reid

This article describes Jigsaw, a convolutional neural network (CNN) used in geosciences and based on Inception but tailored for geoscientific analyses. Introduces JigsawHSI (based on Jigsaw) and uses it on the land-use land-cover (LULC)…

计算机视觉与模式识别 · 计算机科学 2025-01-22 Jaime Moraga

We present a vast landscape of O3/O7 orientifolds that descends from the famous set of complete intersection Calabi-Yau threefolds (CICY). We give distributions of topological data relevant for phenomenology such as the orientifold-odd…

高能物理 - 理论 · 物理学 2020-06-24 Federico Carta , Jakob Moritz , Alexander Westphal

Using the Kreuzer-Skarke database of 4-dimensional reflexive polytopes, we systematically constructed a new database of orientifold Calabi-Yau threefolds with $h^{1,1}(X) \leq 12$. Our approach involved non-trivial $\mathbb{Z}_2$…

高能物理 - 理论 · 物理学 2024-07-04 Xu Cao , Hongfei Gao , Xin Gao

A fundus image usually contains the optic disc, pathologies and other structures in addition to vessels to be segmented. This study proposes a deep network for vessel segmentation, whose architecture is inspired by inception modules. The…

图像与视频处理 · 电气工程与系统科学 2019-11-21 Fatmatulzehra Uslu

In this article, we present a classification for the divisor topologies of the projective complete intersection Calabi-Yau (pCICY) 3-folds realized as hypersurfaces in the product of complex projective spaces. There are 7890 such pCICYs of…

高能物理 - 理论 · 物理学 2022-05-31 Federico Carta , Alessandro Mininno , Pramod Shukla

Deep learning models, specifically convolutional neural networks, have transformed the landscape of image classification by autonomously extracting features directly from raw pixel data. This article introduces an innovative image…

图像与视频处理 · 电气工程与系统科学 2024-12-19 Fatemeh Froughirad , Reza Bakhoda Eshtivani , Hamed Khajavi , Amir Rastgoo

Based on the method by [K\"uc95], we give a procedure to list up all complete intersection Calabi--Yau manifolds with respect to direct sums of irreducible homogeneous vector bundles on Grassmannians for each dimension. In particular, we…

代数几何 · 数学 2019-01-18 Daisuke Inoue , Atsushi Ito , Makoto Miura

The field of geometric deep learning has had a profound impact on the development of innovative and powerful graph neural network architectures. Disciplines such as computer vision and computational biology have benefited significantly from…

机器学习 · 计算机科学 2023-04-28 Alex Morehead , Jianlin Cheng

We use machine learning to approximate Calabi-Yau and SU(3)-structure metrics, including for the first time complex structure moduli dependence. Our new methods furthermore improve existing numerical approximations in terms of accuracy and…

高能物理 - 理论 · 物理学 2021-05-20 Lara B. Anderson , Mathis Gerdes , James Gray , Sven Krippendorf , Nikhil Raghuram , Fabian Ruehle

Tasks like image reconstruction in computer vision, matrix completion in recommender systems and link prediction in graph theory, are well studied in machine learning literature. In this work, we apply a denoising autoencoder-based neural…

机器学习 · 计算机科学 2021-03-15 Edouard Balzin , Boris Shminke

Ricci flat metrics for Calabi-Yau threefolds are not known analytically. In this work, we employ techniques from machine learning to deduce numerical flat metrics for the Fermat quintic, for the Dwork quintic, and for the Tian-Yau manifold.…

高能物理 - 理论 · 物理学 2021-01-28 Vishnu Jejjala , Damian Kaloni Mayorga Pena , Challenger Mishra