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We present Amos, a stochastic gradient-based optimizer designed for training deep neural networks. It can be viewed as an Adam optimizer with theoretically supported, adaptive learning-rate decay and weight decay. A key insight behind Amos…

机器学习 · 计算机科学 2022-11-22 Ran Tian , Ankur P. Parikh

In this paper, a new methodology is proposed that allows for the low-complexity development of neural network (NN) based equalizers for the mitigation of impairments in high-speed coherent optical transmission systems. In this work, we…

Averaging techniques such as Ruppert--Polyak averaging and exponential movering averaging (EMA) are powerful approaches to accelerate optimization procedures of stochastic gradient descent (SGD) optimization methods such as the popular ADAM…

最优化与控制 · 数学 2025-05-29 Arnulf Jentzen , Julian Kranz , Adrian Riekert

Despite their theoretical appealingness, Bayesian neural networks (BNNs) are left behind in real-world adoption, mainly due to persistent concerns on their scalability, accessibility, and reliability. In this work, we develop the…

机器学习 · 计算机科学 2022-10-14 Zhijie Deng , Jun Zhu

Bayesian neural networks utilize probabilistic layers that capture uncertainty over weights and activations, and are trained using Bayesian inference. Since these probabilistic layers are designed to be drop-in replacement of their…

机器学习 · 计算机科学 2021-06-28 Daniel T. Chang

Over-parameterized deep networks trained using gradient-based optimizers are a popular choice for solving classification and ranking problems. Without appropriately tuned $\ell_2$ regularization or weight decay, such networks have the…

机器学习 · 计算机科学 2021-08-13 Aman Gupta , Rohan Ramanath , Jun Shi , Anika Ramachandran , Sirou Zhou , Mingzhou Zhou , S. Sathiya Keerthi

Bayesian neural networks (BNNs) have received an increased interest in the last years. In BNNs, a complete posterior distribution of the unknown weight and bias parameters of the network is produced during the training stage. This…

机器学习 · 计算机科学 2023-04-14 Yunshi Huang , Emilie Chouzenoux , Victor Elvira , Jean-Christophe Pesquet

We present a class of novel optimisers for training neural networks that makes use of the Riemannian metric naturally induced when the loss landscape is embedded in higher-dimensional space. This is the same metric that underlies common…

机器学习 · 计算机科学 2025-09-05 Thomas R. Harvey

There is increasing interest in learning how human brain networks vary as a function of a continuous trait, but flexible and efficient procedures to accomplish this goal are limited. We develop a Bayesian semiparametric model, which…

统计方法学 · 统计学 2017-02-02 Lu Wang , Daniele Durante , Rex E. Jung , David B. Dunson

We show that many machine-learning algorithms are specific instances of a single algorithm called the \emph{Bayesian learning rule}. The rule, derived from Bayesian principles, yields a wide-range of algorithms from fields such as…

机器学习 · 统计学 2024-06-11 Mohammad Emtiyaz Khan , Håvard Rue

Most popular optimizers for deep learning can be broadly categorized as adaptive methods (e.g. Adam) and accelerated schemes (e.g. stochastic gradient descent (SGD) with momentum). For many models such as convolutional neural networks…

Adaptive optimization methods are well known to achieve superior convergence relative to vanilla gradient methods. The traditional viewpoint in optimization, particularly in convex optimization, explains this improved performance by arguing…

机器学习 · 计算机科学 2022-11-07 Kaiqi Jiang , Dhruv Malik , Yuanzhi Li

Optimization is critical for optimal performance in deep neural networks (DNNs). Traditional gradient-based methods often face challenges like local minima entrapment. This paper explores population-based metaheuristic optimization…

计算机视觉与模式识别 · 计算机科学 2025-01-14 Akhilbaran Ghosh , Rama Sai Adithya Kalidindi

Deep Neural Networks (DNNs) are powerful tools for various computer vision tasks, yet they often struggle with reliable uncertainty quantification - a critical requirement for real-world applications. Bayesian Neural Networks (BNN) are…

机器学习 · 计算机科学 2023-12-27 Gianni Franchi , Olivier Laurent , Maxence Leguéry , Andrei Bursuc , Andrea Pilzer , Angela Yao

Machine learning models have achieved human-level performance on various tasks. This success comes at a high cost of computation and storage overhead, which makes machine learning algorithms difficult to deploy on edge devices. Typically,…

机器学习 · 计算机科学 2021-11-12 Giuseppina Carannante , Dimah Dera , Ghulam Rasool , Nidhal C. Bouaynaya

One of the primary reasons behind the success of neural networks has been the emergence of an array of new, highly-successful optimizers, perhaps most importantly the Adam optimizer. It is widely used for training neural networks, yet…

机器学习 · 计算机科学 2025-07-25 Benedikt Brantner

Deep neural network (DNN) generally takes thousands of iterations to optimize via gradient descent and thus has a slow convergence. In addition, softmax, as a decision layer, may ignore the distribution information of the data during…

机器学习 · 计算机科学 2021-06-16 Rui Zhang , Ziheng Jiao , Hongyuan Zhang , Xuelong Li

Machine learning algorithms aim to find patterns from observations, which may include some noise, especially in robotics domain. To perform well even with such noise, we expect them to be able to detect outliers and discard them when…

机器学习 · 计算机科学 2020-03-04 Wendyam Eric Lionel Ilboudo , Taisuke Kobayashi , Kenji Sugimoto

Recent methods have significantly reduced the performance degradation of Binary Neural Networks (BNNs), but guaranteeing the effective and efficient training of BNNs is an unsolved problem. The main reason is that the estimated gradients…

计算机视觉与模式识别 · 计算机科学 2020-09-30 Junjie Liu , Dongchao Wen , Deyu Wang , Wei Tao , Tse-Wei Chen , Kinya Osa , Masami Kato

The goal of this thesis is to develop the optimisation and generalisation theoretic foundations of learning in artificial neural networks. On optimisation, a new theoretical framework is proposed for deriving architecture-dependent…

神经与进化计算 · 计算机科学 2022-10-20 Jeremy Bernstein