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The expressiveness of deep neural network (DNN) is a perspective to understandthe surprising performance of DNN. The number of linear regions, i.e. pieces thata piece-wise-linear function represented by a DNN, is generally used to…

Machine Learning · Computer Science 2020-12-09 Yutong Xie , Gaoxiang Chen , Quanzheng Li

Hybrid Quantum Neural Networks (HQNNs) have gained attention for their potential to enhance computational performance by incorporating quantum layers into classical neural network (NN) architectures. However, a key question remains: Do…

Quantum Physics · Physics 2025-02-24 Muhammad Kashif , Alberto Marchisio , Muhammad Shafique

Deep Neural Networks (DNNs) have become an essential component in many application domains including web-based services. A variety of these services require high throughput and (close to) real-time features, for instance, to respond or…

Machine Learning · Computer Science 2022-09-20 Mohammadamin Abedi , Yanni Iouannou , Pooyan Jamshidi , Hadi Hemmati

Deep neural networks (DNNs) are powerful types of artificial neural networks (ANNs) that use several hidden layers. They have recently gained considerable attention in the speech transcription and image recognition community (Krizhevsky et…

Machine Learning · Computer Science 2017-06-15 Matthew Dixon , Diego Klabjan , Jin Hoon Bang

Heterogeneous graph neural networks (HGNNs) have demonstrated their superiority in exploiting auxiliary information for recommendation tasks. However, graphs constructed using meta-paths in HGNNs are usually too dense and contain a large…

Information Retrieval · Computer Science 2025-06-02 Lei Sang , Yu Wang , Yiwen Zhang

In this paper we consider the limiting case of neural networks (NNs) architectures when the number of neurons in each hidden layer and the number of hidden layers tend to infinity thus forming a continuum, and we derive approximation errors…

Machine Learning · Computer Science 2026-05-12 Christophe Prieur , Mircea Lazar , Bogdan Robu

We introduce a new class of non-linear function-on-function regression models for functional data using neural networks. We propose a framework using a hidden layer consisting of continuous neurons, called a continuous hidden layer, for…

Methodology · Statistics 2023-10-10 Aniruddha Rajendra Rao , Matthew Reimherr

A recent Graph Neural Network (GNN) approach for learning to branch has been shown to successfully reduce the running time of branch-and-bound algorithms for Mixed Integer Linear Programming (MILP). While the GNN relies on a GPU for…

Machine Learning · Computer Science 2020-10-26 Prateek Gupta , Maxime Gasse , Elias B. Khalil , M. Pawan Kumar , Andrea Lodi , Yoshua Bengio

In recent years, the CNNs have achieved great successes in the image processing tasks, e.g., image recognition and object detection. Unfortunately, traditional CNN's classification is found to be easily misled by increasingly complex image…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-12 Xingyao Zhang , Shuaiwen Leon Song , Chenhao Xie , Jing Wang , Weigong Zhang , Xin Fu

We propose two specifications of a real-time mixed-frequency semi-structural time series model for evaluating the output potential, output gap, Phillips curve, and Okun's law for the US. The baseline model uses minimal theory-based…

Econometrics · Economics 2023-04-03 Thomas Hasenzagl , Filippo Pellegrino , Lucrezia Reichlin , Giovanni Ricco

Graph Neural Networks (GNNs) have been widely used in various domains, and GNNs with sophisticated computational graph lead to higher latency and larger memory consumption. Optimizing the GNN computational graph suffers from: (1) Redundant…

Machine Learning · Computer Science 2021-10-20 Hengrui Zhang , Zhongming Yu , Guohao Dai , Guyue Huang , Yufei Ding , Yuan Xie , Yu Wang

Transformers have surpassed RNNs in popularity due to their superior abilities in parallel training and long-term dependency modeling. Recently, there has been a renewed interest in using linear RNNs for efficient sequence modeling. These…

Computation and Language · Computer Science 2023-11-09 Zhen Qin , Songlin Yang , Yiran Zhong

Computational models of vision have traditionally been developed in a bottom-up fashion, by hierarchically composing a series of straightforward operations - i.e. convolution and pooling - with the aim of emulating simple and complex cells…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Simone Azeglio , Simone Poetto , Luca Savant Aira , Marco Nurisso

Recent years have witnessed a growing call for renewed emphasis on neuroscience-inspired approaches in artificial intelligence research, under the banner of NeuroAI. A prime example of this is predictive coding networks (PCNs), based on the…

Machine Learning · Computer Science 2026-03-09 Björn van Zwol , Ro Jefferson , Egon L. van den Broek

Physics Informed Neural Networks (PINNs) have recently gained popularity for solving partial differential equations, given the fact they escape the curse of dimensionality. In this paper, we present Physics Informed Neural Networks as an…

Numerical Analysis · Mathematics 2022-07-26 Umberto Zerbinati

In this paper, we study novel neural network structures to better model long term dependency in sequential data. We propose to use more memory units to keep track of more preceding states in recurrent neural networks (RNNs), which are all…

Neural and Evolutionary Computing · Computer Science 2016-05-03 Rohollah Soltani , Hui Jiang

Nowadays, Cellular Neural Networks (CNN) are practically implemented in parallel, analog computers, showing a fast developing trend. Physicist must be aware that such computers are appropriate for solving in an elegant manner practically…

Disordered Systems and Neural Networks · Physics 2016-02-17 Mária Ercsey-Ravasz , Tamás Roska , Zoltán Néda

Heterogeneous graph neural networks (HGNNs) have been blossoming in recent years, but the unique data processing and evaluation setups used by each work obstruct a full understanding of their advancements. In this work, we present a…

Machine Learning · Computer Science 2022-01-03 Qingsong Lv , Ming Ding , Qiang Liu , Yuxiang Chen , Wenzheng Feng , Siming He , Chang Zhou , Jianguo Jiang , Yuxiao Dong , Jie Tang

Deep neural networks have been demonstrated to achieve phenomenal success in many domains, and yet their inner mechanisms are not well understood. In this paper, we investigate the curvature of image manifolds, i.e., the manifold deviation…

Machine Learning · Computer Science 2023-11-17 Ilya Kaufman , Omri Azencot

A fundamental computation for statistical inference and accurate decision-making is to compute the marginal probabilities or most probable states of task-relevant variables. Probabilistic graphical models can efficiently represent the…

Machine Learning · Computer Science 2019-06-28 KiJung Yoon , Renjie Liao , Yuwen Xiong , Lisa Zhang , Ethan Fetaya , Raquel Urtasun , Richard Zemel , Xaq Pitkow