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Deep neural networks, despite their success in numerous applications, often function without established theoretical foundations. In this paper, we bridge this gap by drawing parallels between deep learning and classical numerical analysis.…

Machine Learning · Computer Science 2023-10-04 Emanuele Zappala , Daniel Levine , Sizhuang He , Syed Rizvi , Sacha Levy , David van Dijk

Neural Algorithmic Reasoning is an emerging area of machine learning which seeks to infuse algorithmic computation in neural networks, typically by training neural models to approximate steps of classical algorithms. In this context, much…

Machine Learning · Computer Science 2023-02-10 Danilo Numeroso , Davide Bacciu , Petar Veličković

Despite the remarkable success of deep learning systems over the last decade, a key difference still remains between neural network and human decision-making: As humans, we cannot only form a decision on the spot, but also ponder,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-15 Gregor Koehler , Tassilo Wald , Constantin Ulrich , David Zimmerer , Paul F. Jaeger , Jörg K. H. Franke , Simon Kohl , Fabian Isensee , Klaus H. Maier-Hein

We propose Neural Reasoner, a framework for neural network-based reasoning over natural language sentences. Given a question, Neural Reasoner can infer over multiple supporting facts and find an answer to the question in specific forms.…

Artificial Intelligence · Computer Science 2015-08-25 Baolin Peng , Zhengdong Lu , Hang Li , Kam-Fai Wong

Modern deep neural networks require a significant amount of computing time and power to train and deploy, which limits their usage on edge devices. Inspired by the iterative weight pruning in the Lottery Ticket Hypothesis, we propose…

Machine Learning · Computer Science 2022-07-15 John Tan Chong Min , Mehul Motani

We propose doubly nested network(DNNet) where all neurons represent their own sub-models that solve the same task. Every sub-model is nested both layer-wise and channel-wise. While nesting sub-models layer-wise is straight-forward with…

Machine Learning · Computer Science 2018-06-21 Jaehong Kim , Sungeun Hong , Yongseok Choi , Jiwon Kim

This paper focuses on proposing a deep learning initialized iterative method (Int-Deep) for low-dimensional nonlinear partial differential equations (PDEs). The corresponding framework consists of two phases. In the first phase, an…

Numerical Analysis · Mathematics 2020-08-26 Jianguo Huang , Haoqin Wang , Haizhao Yang

We present a simple linear regression based approach for learning the weights and biases of a neural network, as an alternative to standard gradient based backpropagation. The present work is exploratory in nature, and we restrict the…

Machine Learning · Computer Science 2023-07-17 Harshad Khadilkar

The computation and storage requirements for Deep Neural Networks (DNNs) are usually high. This issue limits their deployability on ubiquitous computing devices such as smart phones, wearables and autonomous drones. In this paper, we…

Machine Learning · Computer Science 2017-02-28 Hande Alemdar , Vincent Leroy , Adrien Prost-Boucle , Frédéric Pétrot

The manpower scheduling problem is a kind of critical combinational optimization problem. Researching solutions to scheduling problems can improve the efficiency of companies, hospitals, and other work units. This paper proposes a new model…

Machine Learning · Computer Science 2021-05-11 Tianyu Liu , Lingyu Zhang

Deep learning has largely improved the performance of various natural language processing (NLP) tasks. However, most deep learning models are black-box machinery, and lack explicit interpretation. In this chapter, we will introduce our…

Computation and Language · Computer Science 2023-09-26 Xianggen Liu , Zhengdong Lu , Lili Mou

Machine learning systems perform well on pattern matching tasks, but their ability to perform algorithmic or logical reasoning is not well understood. One important reasoning capability is algorithmic extrapolation, in which models trained…

Machine Learning · Computer Science 2022-10-18 Arpit Bansal , Avi Schwarzschild , Eitan Borgnia , Zeyad Emam , Furong Huang , Micah Goldblum , Tom Goldstein

This paper presents an iterative training of neural networks for intra prediction in a block-based image and video codec. First, the neural networks are trained on blocks arising from the codec partitioning of images, each paired with its…

Image and Video Processing · Electrical Eng. & Systems 2021-02-24 Thierry Dumas , Franck Galpin , Philippe Bordes

Modern digital cameras rely on the sequential execution of separate image processing steps to produce realistic images. The first two steps are usually related to denoising and demosaicking where the former aims to reduce noise from the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Filippos Kokkinos , Stamatios Lefkimmiatis

State-of-the-art, high capacity deep neural networks not only require large amounts of labelled training data, they are also highly susceptible to label errors in this data, typically resulting in large efforts and costs and therefore…

Machine Learning · Computer Science 2020-07-20 Christian Haase-Schütz , Rainer Stal , Heinz Hertlein , Bernhard Sick

Deep energy-based models are powerful, but pose challenges for learning and inference (Belanger and McCallum, 2016). Tu and Gimpel (2018) developed an efficient framework for energy-based models by training "inference networks" to…

Computation and Language · Computer Science 2020-10-13 Lifu Tu , Richard Yuanzhe Pang , Kevin Gimpel

Deep networks are now able to achieve human-level performance on a broad spectrum of recognition tasks. Independently, neuromorphic computing has now demonstrated unprecedented energy-efficiency through a new chip architecture based on…

Neural algorithmic reasoning is an emerging area of machine learning that focuses on building neural networks capable of solving complex algorithmic tasks. Recent advancements predominantly follow the standard supervised learning paradigm…

Machine Learning · Computer Science 2025-01-03 Hefei Li , Chao Peng , Chenyang Xu , Zhengfeng Yang

The rising computational and energy demands of deep learning, particularly in large-scale architectures such as foundation models and large language models (LLMs), pose significant challenges to sustainability. Traditional gradient-based…

Machine Learning · Computer Science 2025-09-19 Mohammad Saleh Vahdatpour , Huaiyuan Chu , Yanqing Zhang

Deep neural networks have recently achieved state of the art performance thanks to new training algorithms for rapid parameter estimation and new regularization methods to reduce overfitting. However, in practice the network architecture…

Machine Learning · Computer Science 2016-03-04 Minyoung Kim , Luca Rigazio