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The activation function deployed in a deep neural network has great influence on the performance of the network at initialisation, which in turn has implications for training. In this paper we study how to avoid two problems at…

机器学习 · 计算机科学 2021-05-18 Michael Murray , Vinayak Abrol , Jared Tanner

In non-linear filtering, it is traditional to compare non-linear architectures such as neural networks to the standard linear Kalman Filter (KF). We observe that this mixes the evaluation of two separate components: the non-linear…

机器学习 · 计算机科学 2023-10-03 Ido Greenberg , Netanel Yannay , Shie Mannor

Kernel learning methods are among the most effective learning methods and have been vigorously studied in the past decades. However, when tackling with complicated tasks, classical kernel methods are not flexible or "rich" enough to…

机器学习 · 计算机科学 2019-10-08 Jiaxuan Xie , Fanghui Liu , Kaijie Wang , Xiaolin Huang

We present a unified representation of the most popular neural network activation functions. Adopting Mittag-Leffler functions of fractional calculus, we propose a flexible and compact functional form that is able to interpolate between…

机器学习 · 计算机科学 2024-10-10 Mohammad Mostafanejad

Inspired by biological neurons, the activation functions play an essential part in the learning process of any artificial neural network commonly used in many real-world problems. Various activation functions have been proposed in the…

机器学习 · 计算机科学 2022-12-29 Ameya D. Jagtap , George Em Karniadakis

Activation functions (AF) are necessary components of neural networks that allow approximation of functions, but AFs in current use are usually simple monotonically increasing functions. In this paper, we propose trainable compound AF (TCA)…

机器学习 · 计算机科学 2022-04-28 Paul M. Baggenstoss

The paradigm of multi-task learning is that one can achieve better generalization by learning tasks jointly and thus exploiting the similarity between the tasks rather than learning them independently of each other. While previously the…

机器学习 · 统计学 2015-11-19 Pratik Jawanpuria , Maksim Lapin , Matthias Hein , Bernt Schiele

In the architecture of deep learning models, inspired by biological neurons, activation functions (AFs) play a pivotal role. They significantly influence the performance of artificial neural networks. By modulating the non-linear properties…

机器学习 · 计算机科学 2024-07-17 M. M. Hammad

Human action recognition from skeletal data is a hot research topic and important in many open domain applications of computer vision, thanks to recently introduced 3D sensors. In the literature, naive methods simply transfer off-the-shelf…

计算机视觉与模式识别 · 计算机科学 2017-08-04 Jacopo Cavazza , Pietro Morerio , Vittorio Murino

In complex visual recognition tasks it is typical to adopt multiple descriptors, that describe different aspects of the images, for obtaining an improved recognition performance. Descriptors that have diverse forms can be fused into a…

计算机视觉与模式识别 · 计算机科学 2015-06-15 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Andreas Spanias

We consider learning in decentralized heterogeneous networks: agents seek to minimize a convex functional that aggregates data across the network, while only having access to their local data streams. We focus on the case where agents seek…

最优化与控制 · 数学 2021-06-02 Hrusikesha Pradhan , Amrit Singh Bedi , Alec Koppel , Ketan Rajawat

This paper introduces the Kernel Neural Operator (KNO), a provably convergent operator-learning architecture that utilizes compositions of deep kernel-based integral operators for function-space approximation of operators (maps from…

机器学习 · 计算机科学 2026-05-06 Matthew Lowery , John Turnage , Zachary Morrow , John D. Jakeman , Akil Narayan , Shandian Zhe , Varun Shankar

Learning automatically the best activation function for the task is an active topic in neural network research. At the moment, despite promising results, it is still difficult to determine a method for learning an activation function that…

机器学习 · 计算机科学 2019-10-29 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Kernel methods are among the most popular techniques in machine learning. From a frequentist/discriminative perspective they play a central role in regularization theory as they provide a natural choice for the hypotheses space and the…

机器学习 · 统计学 2012-04-17 Mauricio A. Alvarez , Lorenzo Rosasco , Neil D. Lawrence

Many activation functions have been proposed in the past, but selecting an adequate one requires trial and error. We propose a new methodology of designing activation functions within a neural network at each layer. We call this technique…

机器学习 · 统计学 2017-02-28 Mark Harmon , Diego Klabjan

Activation functions (AFs), which are pivotal to the success (or failure) of a neural network, have received increased attention in recent years, with researchers seeking to design novel AFs that improve some aspect of network performance.…

神经与进化计算 · 计算机科学 2022-06-27 Moshe Sipper

Deep kernel learning provides an elegant and principled framework for combining the structural properties of deep learning algorithms with the flexibility of kernel methods. By means of a deep neural network, we learn a parametrized kernel…

机器学习 · 计算机科学 2020-12-14 Prudencio Tossou , Basile Dura , Francois Laviolette , Mario Marchand , Alexandre Lacoste

The development of edge computing places critical demands on energy-efficient model deployment for multiple-input multiple-output (MIMO) detection tasks. Deploying deep unfolding models such as PGD-Nets and ADMM-Nets into…

机器学习 · 计算机科学 2025-05-20 Zeyi Ren , Jingreng Lei , Yichen Jin , Ermo Hua , Qingfeng Lin , Chen Zhang , Bowen Zhou , Yik-Chung Wu

The study of networks has witnessed an explosive growth over the past decades with several ground-breaking methods introduced. A particularly interesting -- and prevalent in several fields of study -- problem is that of inferring a function…

Radial basis function (RBF) network is a third layered neural network that is widely used in function approximation and data classification. Here we propose a quantum model of the RBF network. Similar to the classical case, we still use the…

量子物理 · 物理学 2020-11-04 Changpeng Shao