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We propose a neural network-based meta-learning method to efficiently solve partial differential equation (PDE) problems. The proposed method is designed to meta-learn how to solve a wide variety of PDE problems, and uses the knowledge for…

Machine Learning · Statistics 2023-10-23 Tomoharu Iwata , Yusuke Tanaka , Naonori Ueda

Backpropagation (BP) remains the dominant and most successful method for training parameters of deep neural network models. However, BP relies on two computationally distinct phases, does not provide a satisfactory explanation of biological…

Machine Learning · Computer Science 2025-11-12 Sander Dalm , Marcel van Gerven , Nasir Ahmad

Deep neural networks have been increasingly used in software engineering and program analysis tasks. They usually take a program and make some predictions about it, e.g., bug prediction. We call these models neural program analyzers. The…

Machine Learning · Computer Science 2021-03-22 Md Rafiqul Islam Rabin , Ke Wang , Mohammad Amin Alipour

Recent research has used deep learning to develop partial differential equation (PDE) models in science and engineering. The functional form of the PDE is determined by a neural network, and the neural network parameters are calibrated to…

Machine Learning · Computer Science 2023-10-17 Justin Sirignano , Jonathan MacArt , Konstantinos Spiliopoulos

Deep neural networks (DNN) have been used successfully in many scientific problems for their high prediction accuracy, but their application to genetic studies remains challenging due to their poor interpretability. In this paper, we…

Machine Learning · Computer Science 2021-10-01 Peyman H. Kassani , Fred Lu , Yann Le Guen , Zihuai He

We present a neural sequence model designed specifically for symbolic music. The model is based on a learned edit distance mechanism which generalises a classic recursion from computer sci- ence, leading to a neural dynamic program. Re-…

Artificial Intelligence · Computer Science 2018-08-30 Christian J. Walder , Dongwoo Kim

There are several problems with the robustness of Convolutional Neural Networks (CNNs). For example, the prediction of CNNs can be changed by adding a small magnitude of noise to an input, and the performances of CNNs are degraded when the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Ikki Kishida , Hideki Nakayama

Neural operators have emerged as an efficient paradigm for solving PDEs, overcoming the limitations of traditional numerical methods and significantly improving computational efficiency. However, due to the diversity and complexity of PDE…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Dengdi Sun , Xiaoya Zhou , Xiao Wang , Hao Si , Wanli Lyu , Jin Tang , Bin Luo

Agent-based modeling is a paradigm of modeling dynamic systems of interacting agents that are individually governed by specified behavioral rules. Training a model of such agents to produce an emergent behavior by specification of the…

Machine Learning · Computer Science 2019-10-11 Karan K. Budhraja , Hang Gao , Tim Oates

Backpropagation (BP) is the standard algorithm for training the deep neural networks that power modern artificial intelligence including large language models. However, BP is energy inefficient and unlikely to be implemented by the brain.…

Machine Learning · Computer Science 2025-10-30 Francesco Innocenti

This paper proposes the Nerual Energy Descent (NED) via neural network evolution equations for a wide class of deep learning problems. We show that deep learning can be reformulated as the evolution of network parameters in an evolution…

Numerical Analysis · Mathematics 2023-02-22 Wenrui Hao , Chunmei Wang , Xingjian Xu , Haizhao Yang

The rise of deep learning has led to various successful attempts to apply deep neural networks (DNNs) for important networking tasks such as intrusion detection. Yet, running DNNs in the network control plane, as typically done in existing…

Cryptography and Security · Computer Science 2024-07-01 Kamran Razavi , Shayan Davari Fard , George Karlos , Vinod Nigade , Max Mühlhäuser , Lin Wang

A representation technique that allows encoding music in a way that contains musical meaning would improve the results of any model trained for computer music tasks like generation of melodies and harmonies of better quality. The field of…

Computation and Language · Computer Science 2020-05-20 Sebastian Garcia-Valencia

Although many benchmarks evaluate the reasoning abilities of Large Language Models (LLMs) within domains such as mathematics, coding, or data wrangling, few abstract away from domain specifics to examine reasoning as a capability in and of…

Computation and Language · Computer Science 2026-02-10 Atharva Naik , Prakam , Yash Mathur , Darsh Agrawal , Manav Kapadnis , Yuwei An , Clayton Marr , Carolyn Rose , David Mortensen

In this paper, we propose a a machine learning approach via model-operator-data network (MOD-Net) for solving PDEs. A MOD-Net is driven by a model to solve PDEs based on operator representation with regularization from data. For linear…

Numerical Analysis · Mathematics 2022-09-07 Lulu Zhang , Tao Luo , Yaoyu Zhang , Weinan E , Zhi-Qin John Xu , Zheng Ma

Numerical solution of partial differential equations (PDEs) plays a vital role in various fields of science and engineering. In recent years, deep neural networks (DNNs) have emerged as a powerful tool for solving PDEs, leveraging their…

Numerical Analysis · Mathematics 2026-02-16 Shuo Ling , Wenjun Ying , Zhen Zhang

We demonstrate a new deep learning autoencoder network, trained by a nonnegativity constraint algorithm (NCAE), that learns features which show part-based representation of data. The learning algorithm is based on constraining negative…

Machine Learning · Computer Science 2016-01-13 Ehsan Hosseini-Asl , Jacek M. Zurada , Olfa Nasraoui

Extending the success of deep neural networks to natural language understanding and symbolic reasoning requires complex operations and external memory. Recent neural program induction approaches have attempted to address this problem, but…

Computation and Language · Computer Science 2016-12-06 Chen Liang , Jonathan Berant , Quoc Le , Kenneth D. Forbus , Ni Lao

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs) by embedding physical laws into neural network training. However, traditional PINN models are typically designed…

Machine Learning · Computer Science 2025-05-05 Keon Vin Park

Knowledge tracing---where a machine models the knowledge of a student as they interact with coursework---is a well established problem in computer supported education. Though effectively modeling student knowledge would have high…

Artificial Intelligence · Computer Science 2015-06-22 Chris Piech , Jonathan Spencer , Jonathan Huang , Surya Ganguli , Mehran Sahami , Leonidas Guibas , Jascha Sohl-Dickstein
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