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We propose a new approach to constructing a neural network for predicting expectations of stochastic differential equations. The proposed method does not need data sets of inputs and outputs; instead, the information obtained from the…

机器学习 · 计算机科学 2023-09-13 Naoki Sugishita , Jun Ohkubo

Although neural networks can achieve very high predictive performance on various different tasks such as image recognition or natural language processing, they are often considered as opaque "black boxes". The difficulty of interpreting the…

机器学习 · 统计学 2020-01-22 Enguerrand Horel , Virgile Mison , Tao Xiong , Kay Giesecke , Lidia Mangu

Graph neural networks have achieved great success in learning node representations for graph tasks such as node classification and link prediction. Graph representation learning requires graph pooling to obtain graph representations from…

机器学习 · 计算机科学 2020-07-22 Zhengyang Wang , Shuiwang Ji

In this paper, we will introduce a novel deep model named Reconciled Polynomial Network (RPN) for deep function learning. RPN has a very general architecture and can be used to build models with various complexities, capacities, and levels…

机器学习 · 计算机科学 2024-07-09 Jiawei Zhang

Recent years have witnessed the widespread adoption of reinforcement learning (RL), from solving real-time games to fine-tuning large language models using human preference data significantly improving alignment with user expectations.…

机器学习 · 计算机科学 2026-04-01 Bodla Krishna Vamshi , Haizhao Yang

Neural networks have excelled at regression and classification problems when the input space consists of scalar variables. As a result of this proficiency, several popular packages have been developed that allow users to easily fit these…

机器学习 · 统计学 2020-09-23 Barinder Thind , Sidi Wu , Richard Groenewald , Jiguo Cao

Ongoing efforts to understand deep neural networks (DNN) have provided many insights, but DNNs remain incompletely understood. Improving DNN's interpretability has practical benefits, such as more accountable usage, better algorithm…

机器学习 · 计算机科学 2021-02-09 Erico Tjoa , Guan Cuntai

Graph neural networks (GNNs) are powerful tools for conducting inference on graph data but are often seen as "black boxes" due to difficulty in extracting meaningful subnetworks driving predictive performance. Many interpretable GNN methods…

机器学习 · 统计学 2024-12-17 Whitney Sloneker , Shalin Patel , Michael Wang , Lorin Crawford , Ritambhara Singh

We investigate the concept of Best Approximation for Feedforward Neural Networks (FNN) and explore their convergence properties through the lens of Random Projection (RPNNs). RPNNs have predetermined and fixed, once and for all, internal…

机器学习 · 计算机科学 2024-02-20 Gianluca Fabiani

Introduction: Machine learning provides fundamental tools both for scientific research and for the development of technologies with significant impact on society. It provides methods that facilitate the discovery of regularities in data and…

机器学习 · 计算机科学 2019-03-12 Andrea Ceni , Peter Ashwin , Lorenzo Livi

This research explores the application of quadratic polynomials in Python for advanced data analysis. The study demonstrates how quadratic models can effectively capture nonlinear relationships in complex datasets by leveraging Python…

统计方法学 · 统计学 2025-09-16 Rostyslav Sipakov , Olena Voloshkina , Anastasiia Kovalova

While deep neural networks (DNN) have become an effective computational tool, the prediction results are often criticized by the lack of interpretability, which is essential in many real-world applications such as health informatics.…

计算机视觉与模式识别 · 计算机科学 2018-05-29 Mengnan Du , Ninghao Liu , Qingquan Song , Xia Hu

For deep learning problems on graph-structured data, pooling layers are important for down sampling, reducing computational cost, and to minimize overfitting. We define a pooling layer, nervePool, for data structured as simplicial…

计算几何 · 计算机科学 2025-11-17 Sarah McGuire Scullen , Ernst Röell , Elizabeth Munch , Bastian Rieck , Matthew Hirn

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

Ensemble methods such as random forests have transformed the landscape of supervised learning, offering highly accurate prediction through the aggregation of multiple weak learners. However, despite their effectiveness, these methods often…

机器学习 · 计算机科学 2026-05-29 Massimo Aria , Agostino Gnasso , Carmela Iorio , Marjolein Fokkema

The rapid evolution of machine learning (ML) has led to the widespread adoption of complex "black box" models, such as deep neural networks and ensemble methods. These models exhibit exceptional predictive performance, making them…

机器学习 · 计算机科学 2025-03-28 Moncef Garouani , Josiane Mothe , Ayah Barhrhouj , Julien Aligon

It is commonly believed that the hidden layers of deep neural networks (DNNs) attempt to extract informative features for learning tasks. In this paper, we formalize this intuition by showing that the features extracted by DNN coincide with…

信息论 · 计算机科学 2019-05-17 Shao-Lun Huang , Xiangxiang Xu , Lizhong Zheng , Gregory W. Wornell

We propose a new approach for non-Cartesian magnetic resonance image reconstruction. While unrolled architectures provide robustness via data-consistency layers, embedding measurement operators in Deep Neural Network (DNN) can become…

图像与视频处理 · 电气工程与系统科学 2024-05-29 Yiwei Chen , Chao Tang , Amir Aghabiglou , Chung San Chu , Yves Wiaux

Interpreting neural networks is a crucial and challenging task in machine learning. In this paper, we develop a novel framework for detecting statistical interactions captured by a feedforward multilayer neural network by directly…

机器学习 · 统计学 2018-02-28 Michael Tsang , Dehua Cheng , Yan Liu

Deep learning is becoming increasingly adopted in business and industry due to its ability to transform large quantities of data into high-performing models. These models, however, are generally regarded as black boxes, which, in spite of…

机器学习 · 计算机科学 2023-02-21 Stefan Druc , Peter Wooldridge , Adarsh Krishnamurthy , Soumik Sarkar , Aditya Balu