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The training complexity of deep learning-based channel decoders scales exponentially with the codebook size and therefore with the number of information bits. Thus, neural network decoding (NND) is currently only feasible for very short…

信息论 · 计算机科学 2017-02-23 Sebastian Cammerer , Tobias Gruber , Jakob Hoydis , Stephan ten Brink

To unleash the potential of quantum computers, noise effects on qubits' performance must be carefully managed. The decoders responsible for diagnosing noise-induced computational errors must use resources efficiently to enable scaling to…

Training deep neural networks on large datasets containing high-dimensional data requires a large amount of computation. A solution to this problem is data-parallel distributed training, where a model is replicated into several…

机器学习 · 计算机科学 2021-03-18 Lusine Abrahamyan , Yiming Chen , Giannis Bekoulis , Nikos Deligiannis

Surface codes reach high error thresholds when decoded with known algorithms, but the decoding time will likely exceed the available time budget, especially for near-term implementations. To decrease the decoding time, we reduce the…

量子物理 · 物理学 2019-02-07 Savvas Varsamopoulos , Ben Criger , Koen Bertels

High-order tensor decomposition has been widely adopted to obtain compact deep neural networks for edge deployment. However, existing studies focus primarily on its algorithmic advantages such as accuracy and compression ratio-while…

硬件体系结构 · 计算机科学 2025-11-26 Jinsong Zhang , Minghe Li , Jiayi Tian , Jinming Lu , Zheng Zhang

In this paper we propose a deep neural network model with an encoder-decoder architecture that translates images of math formulas into their LaTeX markup sequences. The encoder is a convolutional neural network (CNN) that transforms images…

机器学习 · 计算机科学 2019-09-11 Zelun Wang , Jyh-Charn Liu

We propose a novel \textit{capsule} based deep encoder-decoder model for surrogate modeling and uncertainty quantification of systems in mechanics from sparse data. The proposed framework is developed by adapting Capsule Network (CapsNet)…

机器学习 · 统计学 2022-01-20 Akshay Thakur , Souvik Chakraborty

Finding efficient decoders for quantum error correcting codes adapted to realistic experimental noise in fault-tolerant devices represents a significant challenge. In this paper we introduce several decoding algorithms complemented by deep…

量子物理 · 物理学 2018-08-01 Christopher Chamberland , Pooya Ronagh

Many systems of partial differential equations have been proposed as simplified representations of complex collective behaviours in large networks of neurons. In this survey, we briefly discuss their derivations and then review the…

偏微分方程分析 · 数学 2025-01-13 José A Carrillo , Pierre Roux

We present a novel discontinuous Galerkin algorithm for the solution of a class of Fokker-Planck collision operators. These operators arise in many fields of physics, and our particular application is for kinetic plasma simulations. In…

计算物理 · 物理学 2020-08-26 Ammar Hakim , M. Francisquez , J. Juno , Greg W. Hammett

For problems in image processing and many other fields, a large class of effective neural networks has encoder-decoder-based architectures. Although these networks have made impressive performances, mathematical explanations of their…

计算机视觉与模式识别 · 计算机科学 2023-09-18 Xue-Cheng Tai , Hao Liu , Raymond Chan

When simulating partial differential equations, hybrid solvers combine coarse numerical solvers with learned correctors. They promise accelerated simulations while adhering to physical constraints. However, as shown in our theoretical…

机器学习 · 计算机科学 2025-11-19 Hao Wei , Aleksandra Franz , Bjoern List , Nils Thuerey

We address the computational barrier of deploying advanced deep learning segmentation models in clinical settings by studying the efficacy of network compression through tensor decomposition. We propose a post-training Tucker factorization…

图像与视频处理 · 电气工程与系统科学 2024-04-19 Tobias Weber , Jakob Dexl , David Rügamer , Michael Ingrisch

In the design of engineered components, rigorous vibration testing is essential for performance validation and identification of resonant frequencies and amplitudes encountered during operation. Performing this evaluation numerically via…

机器学习 · 计算机科学 2026-03-12 D. Bluedorn , A. Badawy , B. E. Saunders , D. Roettgen , A. Abdelkefi

Neural operators have shown remarkable performance in approximating solutions of partial differential equations. However, their convergence behavior under grid refinement is still not well understood from the viewpoint of numerical…

数值分析 · 数学 2026-02-06 Kyoungjin Jung , Jae Yong Lee , Dongwook Shin

We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

机器学习 · 计算机科学 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

Deep learning algorithms are a key component of many state-of-the-art vision systems, especially as Convolutional Neural Networks (CNN) outperform most solutions in the sense of accuracy. To apply such algorithms in real-time applications,…

计算机视觉与模式识别 · 计算机科学 2022-12-19 Dominika Przewlocka-Rus , Marcin Kowalczyk , Tomasz Kryjak

Semantic segmentation remains a computationally intensive algorithm for embedded deployment even with the rapid growth of computation power. Thus efficient network design is a critical aspect especially for applications like automated…

计算机视觉与模式识别 · 计算机科学 2019-01-23 Arindam Das , Saranya Kandan , Senthil Yogamani , Pavel Krizek

Recently, deep learning methods have shown significant improvements in communication systems. In this paper, we study the equalization problem over the nonlinear channel using neural networks. The joint equalizer and decoder based on neural…

信号处理 · 电气工程与系统科学 2018-07-06 Weihong Xu , Zhiwei Zhong , Yair Be'ery , Xiaohu You , Chuan Zhang

As machine learning is applied to an increasing variety of complex problems, which are defined by high dimensional and complex data sets, the necessity for task oriented feature learning grows in importance. With the advancement of Deep…

机器学习 · 计算机科学 2016-07-06 Vishwajeet Singh , Killamsetti Ravi Kumar , K Eswaran