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High-frequency Helmholtz problems in heterogeneous media remain challenging for both classical iterative methods and end-to-end neural PDE solvers. We propose Neural Preconditioned Born Series (NPBS), a learned iterative preconditioning…

数值分析 · 数学 2026-05-18 Juntao Wang , Jiwei Jia , Xinliang Liu

Weight decay is often used to ensure good generalization in the training practice of deep neural networks with batch normalization (BN-DNNs), where some convolution layers are invariant to weight rescaling due to the normalization. In this…

机器学习 · 计算机科学 2022-06-22 Ziquan Liu , Yufei Cui , Jia Wan , Yu Mao , Antoni B. Chan

In this paper, we propose a novel optimization algorithm for training machine learning models called Input Normalized Stochastic Gradient Descent (INSGD), inspired by the Normalized Least Mean Squares (NLMS) algorithm used in adaptive…

机器学习 · 计算机科学 2023-06-28 Salih Atici , Hongyi Pan , Ahmet Enis Cetin

Tensor-network Born machines (TNBMs) are quantum-inspired generative models for learning data distributions. Using tensor-network contraction and optimization techniques, the model learns an efficient representation of the target…

机器学习 · 计算机科学 2025-05-07 Matan Ben-Dov , Jing Chen

In this work, we propose Natural Hypergradient Descent (NHGD), a new method for solving bilevel optimization problems. To address the computational bottleneck in hypergradient estimation--namely, the need to compute or approximate Hessian…

机器学习 · 计算机科学 2026-04-02 Deyi Kong , Zaiwei Chen , Shuzhong Zhang , Shancong Mou

Natural Gradient Descent (NGD) is a second-order neural network training that preconditions the gradient descent with the inverse of the Fisher Information Matrix (FIM). Although NGD provides an efficient preconditioner, it is not…

机器学习 · 计算机科学 2022-10-12 Tran Van Sang , Mhd Irvan , Rie Shigetomi Yamaguchi , Toshiyuki Nakata

Hidden Markov Models (HMM) model a sequence of observations that are dependent on a hidden (or latent) state that follow a Markov chain. These models are widely used in diverse fields including ecology, speech recognition, and…

最优化与控制 · 数学 2024-09-05 Sidonie Foulon , Thérèse Truong , Anne-Louise Leutenegger , Hervé Perdry

We propose DenseHMM - a modification of Hidden Markov Models (HMMs) that allows to learn dense representations of both the hidden states and the observables. Compared to the standard HMM, transition probabilities are not atomic but composed…

机器学习 · 计算机科学 2020-12-18 Joachim Sicking , Maximilian Pintz , Maram Akila , Tim Wirtz

Training neural networks requires optimizing a loss function that may be highly irregular, and in particular neither convex nor smooth. Popular training algorithms are based on stochastic gradient descent with momentum (SGDM), for which…

机器学习 · 计算机科学 2026-03-17 Qinzi Zhang , Ashok Cutkosky

The Baum-Welch (B-W) algorithm is the most widely accepted method for inferring hidden Markov models (HMM). However, it is prone to getting stuck in local optima, and can be too slow for many real-time applications. Spectral learning of…

机器学习 · 统计学 2024-08-27 Xiaoyuan Ma , Jordan Rodu

Deep convolutional neural networks (CNNs) have shown appealing performance on various computer vision tasks in recent years. This motivates people to deploy CNNs to realworld applications. However, most of state-of-art CNNs require large…

计算机视觉与模式识别 · 计算机科学 2018-02-09 Qinghao Hu , Peisong Wang , Jian Cheng

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

Computational intelligence-based ocean characteristics forecasting applications, such as Significant Wave Height (SWH) prediction, are crucial for avoiding social and economic loss in coastal cities. Compared to the traditional…

机器学习 · 计算机科学 2021-07-21 Delong Chen , Fan Liu , Zheqi Zhang , Xiaomin Lu , Zewen Li

We present a formal measure-theoretical theory of neural networks (NN) built on probability coupling theory. Our main contributions are summarized as follows. * Built on the formalism of probability coupling theory, we derive an algorithm…

机器学习 · 计算机科学 2018-12-03 Shuai Li

Spiking Neural Networks (SNNs) emerged as a promising solution in the field of Artificial Neural Networks (ANNs), attracting the attention of researchers due to their ability to mimic the human brain and process complex information with…

Restricted Boltzmann machines (RBMs) with low-precision synapses are much appealing with high energy efficiency. However, training RBMs with binary synapses is challenging due to the discrete nature of synapses. Recently Huang proposed one…

机器学习 · 计算机科学 2020-07-10 Xiangming Meng

Spiking Neural Networks (SNNs) have been proposed as biologically plausible and energy-efficient alternatives to conventional Artificial Neural Networks (ANNs). However, the training of SNN usually relies on surrogate gradients due to the…

神经与进化计算 · 计算机科学 2026-05-11 Himanshu Udupi , Xiaocong Yang , ChengXiang Zhai

Spiking Neural Networks (SNNs) as Machine Learning (ML) models have recently received a lot of attention as a potentially more energy-efficient alternative to conventional Artificial Neural Networks. The non-differentiability and sparsity…

机器学习 · 计算机科学 2025-12-05 Maximilian Gollwitzer , Felix Dietrich

Batch Normalization (BN) has become an out-of-box technique to improve deep network training. However, its effectiveness is limited for micro-batch training, i.e., each GPU typically has only 1-2 images for training, which is inevitable for…

计算机视觉与模式识别 · 计算机科学 2020-08-11 Siyuan Qiao , Huiyu Wang , Chenxi Liu , Wei Shen , Alan Yuille

We propose a Bayesian framework for training binary and spiking neural networks that achieves state-of-the-art performance without normalisation layers. Unlike commonly used surrogate gradient methods -- often heuristic and sensitive to…

机器学习 · 计算机科学 2025-05-26 James A. Walker , Moein Khajehnejad , Adeel Razi