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A tensor nuclear norm (TNN) based method for solving the tensor recovery problem was recently proposed, and it has achieved state-of-the-art performance. However, it may fail to produce a highly accurate solution since it tends to treats…

最优化与控制 · 数学 2022-05-13 Quan Yu

Deep Neural Networks have been shown to be beneficial for a variety of tasks, in particular allowing for end-to-end learning and reducing the requirement for manual design decisions. However, still many parameters have to be chosen in…

神经与进化计算 · 计算机科学 2018-08-03 Mina Basirat , Peter M. Roth

Automatic speech recognition (ASR) is a capability which enables a program to process human speech into a written form. Recent developments in artificial intelligence (AI) have led to high-accuracy ASR systems based on deep neural networks,…

音频与语音处理 · 电气工程与系统科学 2021-11-05 Thomas Bohnstingl , Ayush Garg , Stanisław Woźniak , George Saon , Evangelos Eleftheriou , Angeliki Pantazi

Multiplicative stochasticity such as Dropout improves the robustness and generalizability of deep neural networks. Here, we further demonstrate that always-on multiplicative stochasticity combined with simple threshold neurons are…

机器学习 · 计算机科学 2019-10-29 Georgios Detorakis , Sourav Dutta , Abhishek Khanna , Matthew Jerry , Suman Datta , Emre Neftci

Though traditional algorithms could be embedded into neural architectures with the proposed principle of \cite{xiao2017hungarian}, the variables that only occur in the condition of branch could not be updated as a special case. To tackle…

神经与进化计算 · 计算机科学 2017-12-19 Han Xiao

Discrete tensor train decomposition is widely employed to mitigate the curse of dimensionality in solving high-dimensional PDEs through traditional methods. However, the direct application of the tensor train method typically requires…

数值分析 · 数学 2025-10-16 Yani Feng , Michael K. Ng , Kejun Tang , Zhiwen Zhang

We present a Fourier neural network (FNN) that can be mapped directly to the Fourier decomposition. The choice of activation and loss function yields results that replicate a Fourier series expansion closely while preserving a…

机器学习 · 计算机科学 2021-04-30 Marieme Ngom , Oana Marin

Recent seminal work at the intersection of deep neural networks practice and random matrix theory has linked the convergence speed and robustness of these networks with the combination of random weight initialization and nonlinear…

机器学习 · 计算机科学 2019-05-07 Pierre H. Richemond , Yike Guo

The performance of Deep Neural Networks (DNNs) keeps elevating in recent years with increasing network depth and width. To enable DNNs on edge devices like mobile phones, researchers proposed several network compression methods including…

计算机视觉与模式识别 · 计算机科学 2020-01-27 Yuhui Xu , Yuxi Li , Shuai Zhang , Wei Wen , Botao Wang , Yingyong Qi , Yiran Chen , Weiyao Lin , Hongkai Xiong

In this paper, a new definition of tensor p-shrinkage nuclear norm (p-TNN) is proposed based on tensor singular value decomposition (t-SVD). In particular, it can be proved that p-TNN is a better approximation of the tensor average rank…

机器学习 · 计算机科学 2019-07-10 Chunsheng Liu , Hong Shan , Chunlei Chen

The Spiking Neural Network (SNN), a biologically inspired neural network infrastructure, has garnered significant attention recently. SNNs utilize binary spike activations for efficient information transmission, replacing multiplications…

计算机视觉与模式识别 · 计算机科学 2025-06-10 Yufei Guo , Yuhan Zhang , Zhou Jie , Xiaode Liu , Xin Tong , Yuanpei Chen , Weihang Peng , Zhe Ma

We introduce Neural Tensor Network States ($\nu$TNS), a variational many-body wave-function ansatz that integrates deep neural networks with tensor-network architectures. In the $\nu$TNS framework, a neural network serves as a disentangler…

强关联电子 · 物理学 2026-03-17 Chaohui Fan , Bo Zhan , Yuntian Gu , Tong Liu , Yantao Wu , Mingpu Qin , Dingshun Lv , Tao Xiang

Activation in deep neural networks is fundamental to achieving non-linear mappings. Traditional studies mainly focus on finding fixed activations for a particular set of learning tasks or model architectures. The research on flexible…

神经与进化计算 · 计算机科学 2020-08-20 Renlong Jie , Junbin Gao , Andrey Vasnev , Min-ngoc Tran

Implicit Neural Representation (INR), which utilizes a neural network to map coordinate inputs to corresponding attributes, is causing a revolution in the field of signal processing. However, current INR techniques suffer from the…

计算机视觉与模式识别 · 计算机科学 2024-07-30 Hao Zhu , Zhen Liu , Qi Zhang , Jingde Fu , Weibing Deng , Zhan Ma , Yanwen Guo , Xun Cao

This paper provides an analysis of state-of-the-art activation functions with respect to supervised classification of deep neural network. These activation functions comprise of Rectified Linear Units (ReLU), Exponential Linear Unit (ELU),…

机器学习 · 计算机科学 2021-04-07 Anh Nguyen , Khoa Pham , Dat Ngo , Thanh Ngo , Lam Pham

This study introduces a novel activation function, characterized by a dynamic slope that adjusts throughout the training process, aimed at enhancing adaptability and performance in deep neural networks for computer vision tasks. The…

计算机视觉与模式识别 · 计算机科学 2024-08-20 Archisman Chakraborti , Bidyut B Chaudhuri

Matrix completion focuses on recovering a matrix from a small subset of its observed elements, and has already gained cumulative attention in computer vision. Many previous approaches formulate this issue as a low-rank matrix approximation…

计算机视觉与模式识别 · 计算机科学 2019-01-08 Shengke Xue , Wenyuan Qiu , Fan Liu , Xinyu Jin

We present the soft exponential activation function for artificial neural networks that continuously interpolates between logarithmic, linear, and exponential functions. This activation function is simple, differentiable, and parameterized…

神经与进化计算 · 计算机科学 2016-02-04 Luke B. Godfrey , Michael S. Gashler

The activation function plays a fundamental role in the artificial neural network learning process. However, there is no obvious choice or procedure to determine the best activation function, which depends on the problem. This study…

神经与进化计算 · 计算机科学 2021-01-18 Tiago A. E. Ferreira , Marios Mattheakis , Pavlos Protopapas

Proper initialisation strategy is of primary importance to mitigate gradient explosion or vanishing when training neural networks. Yet, the impact of initialisation parameters still lacks a precise theoretical understanding for several…

机器学习 · 计算机科学 2026-05-12 Andrea Combette , Antoine Venaille , Nelly Pustelnik