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Related papers: HEI: hybrid explicit-implicit learning for multisc…

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Many multiscale problems have a high contrast, which is expressed as a very large ratio between the media properties. The contrast is known to introduce many challenges in the design of multiscale methods and domain decomposition…

Numerical Analysis · Mathematics 2021-08-25 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Petr N. Vabishchevich

As machine learning systems become democratized, it becomes increasingly important to help users easily debug their models. However, current data tools are still primitive when it comes to helping users trace model performance problems all…

Databases · Computer Science 2019-01-08 Yeounoh Chung , Tim Kraska , Neoklis Polyzotis , Ki Hyun Tae , Steven Euijong Whang

Humans often rely on underlying structural patterns-schemas-to create, whether by writing stories, designing software, or composing music. Schemas help organize ideas and guide exploration, but they are often difficult to discover and…

Human-Computer Interaction · Computer Science 2025-08-08 Sitong Wang

Research in Explainable Artificial Intelligence (XAI) is increasing, aiming to make deep learning models more transparent. Most XAI methods focus on justifying the decisions made by Artificial Intelligence (AI) systems in security-relevant…

It is common in classical mechanics to encounter systems whose Hamiltonian $H$ is the sum of an often exactly integrable Hamiltonian $H_0$ and a small perturbation $\epsilon H_1$ with $\epsilon\ll1$. Such near-integrability can be exploited…

Earth and Planetary Astrophysics · Physics 2020-02-05 Hanno Rein

Deep learning continues to rapidly evolve and is now demonstrating remarkable potential for numerous medical prediction tasks. However, realizing deep learning models that generalize across healthcare organizations is challenging. This is…

Machine Learning · Computer Science 2023-08-23 Zhuohang Li , Chao Yan , Xinmeng Zhang , Gharib Gharibi , Zhijun Yin , Xiaoqian Jiang , Bradley A. Malin

Optimization-based solvers play a central role in a wide range of signal processing and communication tasks. However, their applicability in latency-sensitive systems is limited by the sequential nature of iterative methods and the high…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Dvir Avrahami , Amit Milstein , Caroline Chaux , Tirza Routtenberg , Nir Shlezinger

We propose HAMSI (Hessian Approximated Multiple Subsets Iteration), which is a provably convergent, second order incremental algorithm for solving large-scale partially separable optimization problems. The algorithm is based on a local…

In large language models built upon the Transformer architecture, recent studies have shown that inter-head interaction can enhance attention performance. Motivated by this, we propose Multi-head Explicit Attention (MEA), a simple yet…

Machine Learning · Computer Science 2026-01-28 Runyu Peng , Yunhua Zhou , Demin Song , Kai Lv , Bo Wang , Qipeng Guo , Xipeng Qiu

Any general artificial intelligence system must be able to interpret, operate on, and produce data in a multi-modal latent space that can represent audio, imagery, text, and more. In the last decade, deep neural networks have seen…

Machine Learning · Computer Science 2021-10-12 Sarah Di , Robin Yu , Amol Kapoor

In this work, we study physics-informed neural networks (PINNs) constrained by partial differential equations (PDEs) and their application in approximating PDEs with two characteristic scales. From a continuous perspective, our formulation…

Optimization and Control · Mathematics 2024-09-06 Michael Hintermüller , Denis Korolev

Deep Neural Networks (DNNs) have drawn attention because of their outstanding performance on various tasks. However, deploying full-fledged DNNs in resource-constrained devices (edge, mobile, IoT) is difficult due to their large size. To…

Machine Learning · Computer Science 2023-09-19 Divya J. Bajpai , Vivek K. Trivedi , Sohan L. Yadav , Manjesh K. Hanawal

Prototypical part learning is emerging as a promising approach for making semantic segmentation interpretable. The model selects real patches seen during training as prototypes and constructs the dense prediction map based on the similarity…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Hugo Porta , Emanuele Dalsasso , Diego Marcos , Devis Tuia

Solving partial differential equations (PDEs) by numerical methods meet computational cost challenge for getting the accurate solution since fine grids and small time steps are required. Machine learning can accelerate this process, but…

Numerical Analysis · Mathematics 2025-01-28 Qi Wang , Yuan Mi , Haoyun Wang , Yi Zhang , Ruizhi Chengze , Hongsheng Liu , Ji-Rong Wen , Hao Sun

Hierarchical Rate Splitting (HRS) schemes proposed in recent years have shown to provide significant improvements in exploiting spatial diversity in wireless networks and provide high throughput for all users while minimising interference…

The implicit hitting set (IHS) approach offers a general framework for solving computationally hard combinatorial optimization problems declaratively. IHS iterates between a decision oracle used for extracting sources of inconsistency and…

Artificial Intelligence · Computer Science 2025-11-18 Hannes Ihalainen , Dieter Vandesande , André Schidler , Jeremias Berg , Bart Bogaerts , Matti Järvisalo

In recent years, SPDEs have become a well-studied field in mathematics. With their increase in popularity, it becomes important to efficiently approximate their solutions. Thus, our goal is a contribution towards the development of…

Numerical Analysis · Mathematics 2024-01-17 Evelyn Buckwar , Ana Djurdjevac , Monika Eisenmann

Prompt-based continual learning is an emerging direction in leveraging pre-trained knowledge for downstream continual learning, and has almost reached the performance pinnacle under supervised pre-training. However, our empirical research…

Machine Learning · Computer Science 2023-10-12 Liyuan Wang , Jingyi Xie , Xingxing Zhang , Mingyi Huang , Hang Su , Jun Zhu

Recent advancements have introduced federated machine learning-based channel state information (CSI) compression before the user equipments (UEs) upload the downlink CSI to the base transceiver station (BTS). However, most existing…

Signal Processing · Electrical Eng. & Systems 2025-06-05 Yanjie Dong , Haijun Zhang , Gaojie Chen , Xiaoyi Fan , Victor C. M. Leung , Xiping Hu

Tau-leaping is a family of algorithms for the approximate simulation of the discrete state continuous time Markov chains. Motivation for the development of such methods can be found, for instance, in the fields of chemical kinetics and…

Probability · Mathematics 2020-08-10 Viktor Reshniak , Abdul Khaliq , David Voss
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