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This paper introduces Laplace techniques for designing a neural network, with the goal of estimating simplex-constraint sparse vectors from compressed measurements. To this end, we recast the problem of MMSE estimation (w.r.t. a pre-defined…

Information Theory · Computer Science 2017-09-28 Steffen Limmer , Slawomir Stanczak

Deep Neural Networks (DNNs) have achieved remarkable success in a variety of tasks, especially when it comes to prediction accuracy. However, in complex real-world scenarios, particularly in safety-critical applications, high accuracy alone…

Artificial Intelligence · Computer Science 2024-05-31 Han Liu , Peng Cui , Bingning Wang , Jun Zhu , Xiaolin Hu

Recognizing symmetries in data allows for significant boosts in neural network training, which is especially important where training data are limited. In many cases, however, the exact underlying symmetry is present only in an idealized…

High Energy Physics - Phenomenology · Physics 2025-04-07 Seth Nabat , Aishik Ghosh , Edmund Witkowski , Gregor Kasieczka , Daniel Whiteson

In this research, we study the optimization challenges of MANET and cross-layer technique to improve its performance. We propose an adaptive retransmission limits algorithm for IEEE 802.11 MAC to reduce the false link failures and predict…

Networking and Internet Architecture · Computer Science 2010-11-30 Gaurav Bhatia , Vivek Kumar

With the rapid advance of Machine Learning techniques and the deep increase of availability of scientific data, data-driven approaches have started to become progressively popular across science, causing a fundamental shift in the…

Numerical Analysis · Mathematics 2023-06-06 Giulia Bertaglia

\emph{Integrated communication and computation} (IC$^2$) has emerged as a new paradigm for enabling efficient edge inference in sixth-generation (6G) networks. However, the design of IC$^2$ technologies is hindered by the lack of a…

Information Theory · Computer Science 2026-03-04 Jierui Zhang , Jianhao Huang , Kaibin Huang

Recently studies on time-domain audio separation networks (TasNets) have made a great stride in speech separation. One of the most representative TasNets is a network with a dual-path segmentation approach. However, the original model…

Sound · Computer Science 2022-12-15 Yinhao Xu , Jian Zhou , Liang Tao , Hon Keung Kwan

We propose STANE (Shared and Time-specific Adaptive Network Embedding), a new joint embedding framework for dynamic networks that captures both stable global structures and localized temporal variations. To further improve the model's…

Methodology · Statistics 2025-10-21 Hairi Bai , Xinyan Fan , Kuangnan Fang , Yan Zhang

In this article, we propose the approach to procedural optimization of a neural network, based on the combination of information theory and braid theory. The network studied in the article implemented with the intersections between the…

Neural and Evolutionary Computing · Computer Science 2021-04-21 Olga Lukyanova , Oleg Nikitin , Alex Kunin

Recently, machine learning, particularly message-passing graph neural networks (MPNNs), has gained traction in enhancing exact optimization algorithms. For example, MPNNs speed up solving mixed-integer optimization problems by imitating…

Machine Learning · Computer Science 2023-10-17 Chendi Qian , Didier Chételat , Christopher Morris

Machine learning methods are commonly used to solve inverse problems, wherein an unknown signal must be estimated from few indirect measurements generated via a known acquisition procedure. In particular, neural networks perform well…

Machine Learning · Computer Science 2025-12-05 Hannah Laus , Suzanna Parkinson , Vasileios Charisopoulos , Felix Krahmer , Rebecca Willett

Neurons in large language models often exhibit \emph{polysemanticity}, simultaneously encoding multiple unrelated concepts and obscuring interpretability. Instead of relying on post-hoc methods, we present \textbf{MoE-X}, a…

In this article, we present an efficient deep learning method called coupled deep neural networks (CDNNs) for coupled physical problems. Our method compiles the interface conditions of the coupled PDEs into the networks properly and can be…

Numerical Analysis · Mathematics 2023-01-18 Jing Yue , Jian Li , Wen Zhang

A semilinear reaction-diffusion two-point boundary value problem, whose second-order derivative is multiplied by a small positive parameter $\eps^2$, is considered. It can have multiple solutions. An asymptotic expansion is constructed for…

Numerical Analysis · Mathematics 2013-03-20 Natalia Kopteva , Martin Stynes

Regularization and transfer learning are two popular techniques to enhance generalization on unseen data, which is a fundamental problem of machine learning. Regularization techniques are versatile, as they are task- and…

Machine Learning · Computer Science 2022-02-16 Jeongun Ryu , Jaewoong Shin , Hae Beom Lee , Sung Ju Hwang

Link Prediction (LP) is a critical task in graph machine learning. While Graph Neural Networks (GNNs) have significantly advanced LP performance recently, existing methods face key challenges including limited supervision from sparse…

Machine Learning · Computer Science 2025-08-07 Yu Song , Zhigang Hua , Harry Shomer , Yan Xie , Jingzhe Liu , Bo Long , Hui Liu

On the one hand, artificial neural networks (ANNs) are commonly labelled as black-boxes, lacking interpretability; an issue that hinders human understanding of ANNs' behaviors. A need exists to generate a meaningful sequential logic of the…

Machine Learning · Computer Science 2021-11-19 Duy T. Nguyen , Kathryn E. Kasmarik , Hussein A. Abbass

In this work, we present an adaptive adjoint-oriented neural network (adaptive AONN) for solving parametric optimal control problems governed by partial differential equations. The proposed method integrates deep adaptive sampling…

Optimization and Control · Mathematics 2025-12-23 Zikang Yuan , Guanjie Wang , Qifeng Liao

Hypernetworks, neural networks that predict the parameters of another neural network, are powerful models that have been successfully used in diverse applications from image generation to multi-task learning. Unfortunately, existing…

Machine Learning · Computer Science 2023-06-30 Jose Javier Gonzalez Ortiz , John Guttag , Adrian Dalca

Diversity-multiplexing tradeoff (DMT) was characterized asymptotically (SNR-> infinity) for i.i.d. Rayleigh fading channel by Zheng and Tse [1]. The SNR-asymptotic DMT overestimates the finite-SNR one [2]. This paper outlines a number of…

Information Theory · Computer Science 2016-11-17 Sergey Loyka , Georgy Levin