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This paper proposes a new method based on neural networks for computing the high-dimensional committor functions that satisfy Fokker-Planck equations. Instead of working with partial differential equations, the new method works with an…

数值分析 · 数学 2021-05-06 Haoya Li , Yuehaw Khoo , Yinuo Ren , Lexing Ying

We present a methodology combining neural networks with physical principle constraints in the form of partial differential equations (PDEs). The approach allows to train neural networks while respecting the PDEs as a strong constraint in…

数值分析 · 数学 2021-09-06 Sebastian K. Mitusch , Simon W. Funke , Miroslav Kuchta

Semi-supervised learning algorithms typically construct a weighted graph of data points to represent a manifold. However, an explicit graph representation is problematic for neural networks operating in the online setting. Here, we propose…

机器学习 · 计算机科学 2019-10-22 Alexander Genkin , Anirvan M. Sengupta , Dmitri Chklovskii

Neural networks for visual content understanding have recently evolved from convolutional ones (CNNs) to transformers. The prior (CNN) relies on small-windowed kernels to capture the regional clues, demonstrating solid local expressiveness.…

计算机视觉与模式识别 · 计算机科学 2023-08-17 Zixuan Su , Hao Zhang , Jingjing Chen , Lei Pang , Chong-Wah Ngo , Yu-Gang Jiang

We propose a boundary neuron method with random features (BNM-RF) for solving partial differential equations. The method approximates the unknown boundary function by a shallow network within the boundary integral formulation. With randomly…

数值分析 · 数学 2026-03-30 Ye Lin , Wentao Liu , Young Ju Lee , Jiwei Jia

Semi-supervised remote sensing (RS) image semantic segmentation offers a promising solution to alleviate the burden of exhaustive annotation, yet it fundamentally struggles with pseudo-label drift, a phenomenon where confirmation bias leads…

计算机视觉与模式识别 · 计算机科学 2026-01-13 Yi Zhou , Xuechao Zou , Shun Zhang , Kai Li , Shiying Wang , Jingming Chen , Congyan Lang , Tengfei Cao , Pin Tao , Yuanchun Shi

The exponential expansion of IoT and 5G-Advanced applications has enlarged the attack surface for DDoS, malware, and zero-day intrusions. We propose an intrusion detection system that fuses a convolutional neural network (CNN), a…

密码学与安全 · 计算机科学 2025-09-22 Rasil Baidar , Sasa Maric , Robert Abbas

Information loss in numerical physics simulations can arise from various sources when solving discretized partial differential equations. In particular, errors related to numerical precision ("sub-precision errors") can accumulate in the…

流体动力学 · 物理学 2022-09-27 Akash Haridas , Nagabhushana Rao Vadlamani , Yuki Minamoto

The emergence of deep-learning-based methods to solve image-reconstruction problems has enabled a significant increase in reconstruction quality. Unfortunately, these new methods often lack reliability and explainability, and there is a…

图像与视频处理 · 电气工程与系统科学 2023-08-28 Alexis Goujon , Sebastian Neumayer , Pakshal Bohra , Stanislas Ducotterd , Michael Unser

While many recent Physics-Informed Neural Networks (PINNs) variants have had considerable success in solving Partial Differential Equations, the empirical benefits of feature mapping drawn from the broader Neural Representations research…

机器学习 · 计算机科学 2024-04-30 Chengxi Zeng , Tilo Burghardt , Alberto M Gambaruto

Partial differential equations have a wide range of applications in modeling multiple physical, biological, or social phenomena. Therefore, we need to approximate the solutions of these equations in computationally feasible terms. Nowadays,…

数值分析 · 数学 2024-11-14 Carlos Uriarte

We present an application of Physics-Informed Neural Networks to handle MultiPhase-Field simulations of microstructure evolution. It has been showcased that a combination of optimization techniques extended and adapted from the PINNs…

材料科学 · 物理学 2024-09-04 Seifallah Elfetni , Reza Darvishi Kamachali

Under the organization of the base station (BS), wireless federated learning (FL) enables collaborative model training among multiple devices. However, the BS is merely responsible for aggregating local updates during the training process,…

信息论 · 计算机科学 2023-10-05 Jingheng Zheng , Wanli Ni , Hui Tian , Deniz Gunduz , Tony Q. S. Quek , Zhu Han

The work focuses on gathering high-fidelity and low-fidelity numerical simulations data using Nektar++ (Solver based on Applied Mathematics) and XFOIL respectively. The utilization of the higher polynomial distribution in calculating the…

机器学习 · 计算机科学 2025-03-12 Swapnil Kumar

Surface-from-gradients (SfG) aims to recover a three-dimensional (3D) surface from its gradients. Traditional methods encounter significant challenges in achieving high accuracy and handling high-resolution inputs, particularly facing the…

计算机视觉与模式识别 · 计算机科学 2025-01-22 Jiaqi Leng , Yakun Ju , Yuanxu Duan , Jiangnan Zhang , Qingxuan Lv , Zuxuan Wu , Hao Fan

Semidefinite programming is an important optimization task, often used in time-sensitive applications. Though they are solvable in polynomial time, in practice they can be too slow to be used in online, i.e. real-time applications. Here we…

量子物理 · 物理学 2022-02-03 Tamás Kriváchy , Yu Cai , Joseph Bowles , Daniel Cavalcanti , Nicolas Brunner

In this work, a deep learning approach has been developed to carry out road detection by fusing LIDAR point clouds and camera images. An unstructured and sparse point cloud is first projected onto the camera image plane and then upsampled…

计算机视觉与模式识别 · 计算机科学 2018-09-24 Luca Caltagirone , Mauro Bellone , Lennart Svensson , Mattias Wahde

Quantum approximate optimization is one of the promising candidates for useful quantum computation, particularly in the context of finding approximate solutions to Quadratic Unconstrained Binary Optimization (QUBO) problems. However, the…

Multi-modality image fusion and segmentation play a vital role in autonomous driving and robotic operation. Early efforts focus on boosting the performance for only one task, \emph{e.g.,} fusion or segmentation, making it hard to…

计算机视觉与模式识别 · 计算机科学 2023-08-07 Jinyuan Liu , Zhu Liu , Guanyao Wu , Long Ma , Risheng Liu , Wei Zhong , Zhongxuan Luo , Xin Fan

By controlling the state of neuronal populations, neuromodulators ultimately affect behaviour. A key neuromodulation mechanism is the alteration of neuronal excitability via the modulation of ion channel expression. This type of…

神经元与认知 · 定量生物学 2020-09-29 Tomas Van Pottelbergh , Guillaume Drion , Rodolphe Sepulchre
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