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Nonlinear dynamics is a pervasive phenomenon observed in scientific and engineering disciplines. However, the task of deriving analytical expressions to describe nonlinear dynamics from limited data remains challenging. In this paper, we…

机器学习 · 计算机科学 2026-01-22 Zhongyi Jiang , Chunmei Wang , Haizhao Yang

Hierarchical neural networks are exponentially more efficient than their corresponding "shallow" counterpart with the same expressive power, but involve huge number of parameters and require tedious amounts of training. Our main idea is to…

机器学习 · 计算机科学 2018-07-19 Bálint Daróczy , Rita Aleksziev , András Benczúr

Many real-world interactions are group-based rather than pairwise such as papers with multiple co-authors and users jointly engaging with items. Hypergraph neural networks have shown great promise at modeling higher-order relations, but…

机器学习 · 计算机科学 2025-08-14 Xiaoyu Li , Guangyu Tang , Jiaojiao Jiang

Hamiltonian systems describe a broad class of dynamical systems governed by Hamiltonian functions, which encode the total energy and dictate the evolution of the system. Data-driven approaches, such as symbolic regression and neural…

机器学习 · 计算机科学 2025-06-26 Jasen Lai , Senwei Liang , Chunmei Wang

Due to the powerful learning ability on high-rank and non-linear features, deep neural networks (DNNs) are being applied to data mining and machine learning in various fields, and exhibit higher discrimination performance than conventional…

机器学习 · 计算机科学 2023-02-21 Weiyu Guo , Zhijiang Yang , Shu Wu , Fu Chen

We propose a novel perspective to understand deep neural networks in an interpretable disentanglement form. For each semantic class, we extract a class-specific functional subnetwork from the original full model, with compressed structure…

机器学习 · 计算机科学 2019-10-08 Yulong Wang , Xiaolin Hu , Hang Su

A major challenge in Explainable AI is in correctly interpreting activations of hidden neurons: accurate interpretations would help answer the question of what a deep learning system internally detects as relevant in the input, demystifying…

Deep Neural Networks (DNNs) are rapidly gaining popularity in a variety of important domains. Formally, DNNs are complicated vector-valued functions which come in a variety of sizes and applications. Unfortunately, modern DNNs have been…

机器学习 · 计算机科学 2021-01-12 Matthew Sotoudeh , Aditya V. Thakur

In this paper, we propose a novel Explanation Neural Network (XNN) to explain the predictions made by a deep network. The XNN works by learning a nonlinear embedding of a high-dimensional activation vector of a deep network layer into a…

计算机视觉与模式识别 · 计算机科学 2020-12-14 Zhongang Qi , Saeed Khorram , Fuxin Li

Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

机器学习 · 计算机科学 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

While deep learning models have demonstrated remarkable success in numerous domains, their black-box nature remains a significant limitation, especially in critical fields such as medical image analysis and inference. Existing…

机器学习 · 计算机科学 2025-05-13 David Zucker

Hierarchical DQN (h-DQN) is a two-level architecture of feedforward neural networks where the meta level selects goals and the lower level takes actions to achieve the goals. We show tasks that cannot be solved by h-DQN, exemplifying the…

人工智能 · 计算机科学 2020-06-23 Weihang Yuan , Héctor Muñoz-Avila

A common trend in simulation-driven engineering applications is the ever-increasing size and complexity of the problem, where classical numerical methods typically suffer from significant computational time and huge memory cost. Methods…

计算工程、金融与科学 · 计算机科学 2025-10-28 Jiachen Guo , Chanwook Park , Xiaoyu Xie , Zhongsheng Sang , Gregory J. Wagner , Wing Kam Liu

Explainable AI has emerged to be a key component for black-box machine learning approaches in domains with a high demand for reliability or transparency. Examples are medical assistant systems, and applications concerned with the General…

机器学习 · 计算机科学 2021-05-18 Johannes Rabold , Gesina Schwalbe , Ute Schmid

The behaviors of deep neural networks (DNNs) are notoriously resistant to human interpretations. In this paper, we propose Hypergradient Data Relevance Analysis, or HYDRA, which interprets the predictions made by DNNs as effects of their…

机器学习 · 计算机科学 2025-04-29 Yuanyuan Chen , Boyang Li , Han Yu , Pengcheng Wu , Chunyan Miao

Dynamic Graph Neural Networks (DyGNNs) have garnered increasing research attention for learning representations on evolving graphs. Despite their effectiveness, the limited expressive power of existing DyGNNs hinders them from capturing…

机器学习 · 计算机科学 2024-10-03 Zhe Wang , Tianjian Zhao , Zhen Zhang , Jiawei Chen , Sheng Zhou , Yan Feng , Chun Chen , Can Wang

Apart from discriminative models for classification and object detection tasks, the application of deep convolutional neural networks to basic research utilizing natural imaging data has been somewhat limited; particularly in cases where a…

计算机视觉与模式识别 · 计算机科学 2020-09-22 R. Ian Etheredge , Manfred Schartl , Alex Jordan

We present two effective methods for solving high-dimensional partial differential equations (PDE) based on randomized neural networks. Motivated by the universal approximation property of this type of networks, both methods extend the…

数值分析 · 数学 2023-09-14 Yiran Wang , Suchuan Dong

Due to the success of deep learning (DL) and its growing job market, students and researchers from many areas are interested in learning about DL technologies. Visualization has proven to be of great help during this learning process. While…

机器学习 · 计算机科学 2022-07-18 Alex Bäuerle , Patrick Albus , Raphael Störk , Tina Seufert , Timo Ropinski

This work proposes a novel approach to the deep hierarchical classification task, i.e., the problem of classifying data according to multiple labels organized in a rigid parent-child structure. It consists in a multi-output deep neural…

人工智能 · 计算机科学 2024-10-07 Lorenzo Fiaschi , Marco Cococcioni