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We introduce FeUdal Networks (FuNs): a novel architecture for hierarchical reinforcement learning. Our approach is inspired by the feudal reinforcement learning proposal of Dayan and Hinton, and gains power and efficacy by decoupling…

Artificial Intelligence · Computer Science 2017-03-07 Alexander Sasha Vezhnevets , Simon Osindero , Tom Schaul , Nicolas Heess , Max Jaderberg , David Silver , Koray Kavukcuoglu

Network embedding is an effective way to solve the network analytics problems such as node classification, link prediction, etc. It represents network elements using low dimensional vectors such that the graph structural information and…

Social and Information Networks · Computer Science 2019-09-04 Yucheng Lin , Xiaoqing Yang , Zang Li , Jieping Ye

Deep neural networks (DNN) are powerful models for many pattern recognition tasks, yet their high computational complexity and memory requirement limit them to applications on high-performance computing platforms. In this paper, we propose…

Machine Learning · Computer Science 2018-10-24 Lukas Mauch , Bin Yang

Recently, physics-informed neural networks (PINNs) have offered a powerful new paradigm for solving problems relating to differential equations. Compared to classical numerical methods PINNs have several advantages, for example their…

Computational Physics · Physics 2024-06-21 Ben Moseley , Andrew Markham , Tarje Nissen-Meyer

This article introduces Perception-Informed Neural Networks (PrINNs), a framework designed to incorporate perception-based information into neural networks, addressing both systems with known and unknown physics laws or differential…

Machine Learning · Computer Science 2025-05-27 Mehran Mazandarani , Marzieh Najariyan

We introduce Feature-Product networks (FP-nets) as a novel deep-network architecture based on a new building block inspired by principles of biological vision. For each input feature map, a so-called FP-block learns two different filters,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Philipp Grüning , Thomas Martinetz , Erhardt Barth

The aim of this note is to construct a neural network for which the linear finite element approximation of a simple one dimensional boundary value problem is a minimum of the cost function to find out if the neural network is able to…

Numerical Analysis · Mathematics 2024-05-20 Julia Novo , Eduardo Terrés

A method is presented that allows to reduce a problem described by differential equations with initial and boundary conditions to the problem described only by differential equations. The advantage of using the modified problem for…

In this work, we propose a balanced multi-component and multi-layer neural network (MMNN) structure to accurately and efficiently approximate functions with complex features, in terms of both degrees of freedom and computational cost. The…

Machine Learning · Computer Science 2025-07-17 Shijun Zhang , Hongkai Zhao , Yimin Zhong , Haomin Zhou

We identify and address a fundamental limitation of sinusoidal representation networks (SIRENs), a class of implicit neural representations. SIRENs Sitzmann et al. (2020), when not initialized appropriately, can struggle at fitting signals…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Hemanth Chandravamsi , Dhanush V. Shenoy , Steven H. Frankel

Link and sign prediction in complex networks bring great help to decision-making and recommender systems, such as in predicting potential relationships or relative status levels. Many previous studies focused on designing the special…

Physics and Society · Physics 2021-08-04 Chuang Liu , Shimin Yu , Ying Huang , Zi-Ke Zhang

The promise of ANNs to automatically discover and extract useful features/patterns from data without dwelling on domain expertise although seems highly promising but comes at the cost of high reliance on large amount of accurately labeled…

Machine learning techniques are employed to perform the full characterization of a quantum system. The particular artificial intelligence technique used to learn the Hamiltonian is called physics informed neural network (PINN). The idea…

In this paper we study shallow neural network functions which are linear combinations of compositions of activation and quadratic functions, replacing standard affine linear functions, often called neurons. We show the universality of this…

Numerical Analysis · Mathematics 2022-05-12 Leon Frischauf , Otmar Scherzer , Cong Shi

Learned image compression have attracted considerable interests in recent years. It typically comprises an analysis transform, a synthesis transform, quantization and an entropy coding model. The analysis transform and synthesis transform…

Image and Video Processing · Electrical Eng. & Systems 2024-09-02 Yanbo Gao , Meng Fu , Shuai Li , Chong Lv , Xun Cai , Hui Yuan , Mao Ye

Inspired by the immense success of deep learning, graph neural networks (GNNs) are widely used to learn powerful node representations and have demonstrated promising performance on different graph learning tasks. However, most real-world…

Machine Learning · Computer Science 2020-01-24 Kaize Ding , Yichuan Li , Jundong Li , Chenghao Liu , Huan Liu

A machine learning (ML) feature network is a graph that connects ML features in learning tasks based on their similarity. This network representation allows us to view feature vectors as functions on the network. By leveraging function…

Machine Learning · Statistics 2024-01-11 Xinying Mu , Mark Kon

We investigate the complexity of deep neural networks through the lens of functional equivalence, which posits that different parameterizations can yield the same network function. Leveraging the equivalence property, we present a novel…

Machine Learning · Computer Science 2024-05-17 Guohao Shen

We show that neural networks with access to randomness can outperform deterministic networks by using amplification. We call such networks Coin-Flipping Neural Networks, or CFNNs. We show that a CFNN can approximate the indicator of a…

Machine Learning · Computer Science 2022-06-23 Yuval Sieradzki , Nitzan Hodos , Gal Yehuda , Assaf Schuster

Physics-informed neural networks (PINNs) are capable of finding the solution for a given boundary value problem. We employ several ideas from the finite element method (FEM) to enhance the performance of existing PINNs in engineering…

Computational Engineering, Finance, and Science · Computer Science 2022-10-05 Shahed Rezaei , Ali Harandi , Ahmad Moeineddin , Bai-Xiang Xu , Stefanie Reese