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We consider the problem of obtaining effective representations for the solutions of linear, vector-valued stochastic differential equations (SDEs) driven by non-Gaussian pure-jump L\'evy processes, and we show how such representations lead…

概率论 · 数学 2023-11-09 Marcos Tapia Costa , Ioannis Kontoyiannis , Simon Godsill

Stepwise signals are ubiquitous in single-molecule detections, where abrupt changes in signal levels typically correspond to molecular conformational changes or state transitions. However, these features are inevitably obscured by noise,…

信号处理 · 电气工程与系统科学 2026-02-10 Xingdi Tong , Chenyu Wen

We introduce a mathematically rigorous framework based on rough path theory to model stochastic spiking neural networks (SSNNs) as stochastic differential equations with event discontinuities (Event SDEs) and driven by c\`adl\`ag rough…

机器学习 · 统计学 2024-05-24 Christian Holberg , Cristopher Salvi

This paper introduces a dual-signal transformation LSTM network (DTLN) for real-time speech enhancement as part of the Deep Noise Suppression Challenge (DNS-Challenge). This approach combines a short-time Fourier transform (STFT) and a…

音频与语音处理 · 电气工程与系统科学 2020-10-23 Nils L. Westhausen , Bernd T. Meyer

We develop a new continuous-time stochastic gradient descent method for optimizing over the stationary distribution of stochastic differential equation (SDE) models. The algorithm continuously updates the SDE model's parameters using an…

机器学习 · 计算机科学 2023-08-29 Ziheng Wang , Justin Sirignano

Partial differential equations (PDEs) play a crucial role in studying a vast number of problems in science and engineering. Numerically solving nonlinear and/or high-dimensional PDEs is often a challenging task. Inspired by the traditional…

数值分析 · 数学 2022-01-11 Yihao Hu , Tong Zhao , Shixin Xu , Zhiliang Xu , Lizhen Lin

The transition density of a stochastic, logistic population growth model with multiplicative intrinsic noise is analytically intractable. Inferring model parameter values by fitting such stochastic differential equation (SDE) models to data…

应用统计 · 统计学 2015-08-17 Jonathan Heydari , Conor Lawless , David A. Lydall , Darren J. Wilkinson

Named entity recognition is a challenging task that has traditionally required large amounts of knowledge in the form of feature engineering and lexicons to achieve high performance. In this paper, we present a novel neural network…

计算与语言 · 计算机科学 2016-07-20 Jason P. C. Chiu , Eric Nichols

In this paper, we propose a novel Convolutional Neural Network (CNN) approach for the classification of raw dry-EEG signals without any data pre-processing. To illustrate the effectiveness of our approach, we utilise the Steady State Visual…

人机交互 · 计算机科学 2019-01-23 Nik Khadijah Nik Aznan , Stephen Bonner , Jason D. Connolly , Noura Al Moubayed , Toby P. Breckon

The detection and classification of power quality disturbances (PQDs) carries significant importance for power systems. In response to this imperative, numerous intelligent diagnostic methods have been developed. However, existing…

信号处理 · 电气工程与系统科学 2024-07-09 Su Pan , Xingyang Nie , Xiaoyu Zhai , Biao Wang , Huilin Ge , Cheng He , Zhenping Ding

Multivariate time series forecasting is an important machine learning problem across many domains, including predictions of solar plant energy output, electricity consumption, and traffic jam situation. Temporal data arise in these…

机器学习 · 计算机科学 2018-04-20 Guokun Lai , Wei-Cheng Chang , Yiming Yang , Hanxiao Liu

Stochastic nested optimization, including stochastic compositional, min-max and bilevel optimization, is gaining popularity in many machine learning applications. While the three problems share the nested structure, existing works often…

机器学习 · 统计学 2021-06-28 Tianyi Chen , Yuejiao Sun , Wotao Yin

Existing conditional Denoising Diffusion Probabilistic Models (DDPMs) with a Noise-Conditional Framework (NCF) remain challenging for 3D scene understanding tasks, as the complex geometric details in scenes increase the difficulty of…

计算机视觉与模式识别 · 计算机科学 2025-04-02 Wentao Qu , Jing Wang , YongShun Gong , Xiaoshui Huang , Liang Xiao

Benefit from large-scale training datasets, deep Convolutional Neural Networks(CNNs) have achieved impressive results in face recognition(FR). However, tremendous scale of datasets inevitably lead to noisy data, which obviously reduce the…

计算机视觉与模式识别 · 计算机科学 2019-03-27 Wei Hu , Yangyu Huang , Fan Zhang , Ruirui Li

In this paper, we propose a sequential neural encoder with latent structured description (SNELSD) for modeling sentences. This model introduces latent chunk-level representations into conventional sequential neural encoders, i.e., recurrent…

计算与语言 · 计算机科学 2017-11-16 Yu-Ping Ruan , Qian Chen , Zhen-Hua Ling

The vast majority of the neural network literature focuses on predicting point values for a given set of response variables, conditioned on a feature vector. In many cases we need to model the full joint conditional distribution over the…

机器学习 · 统计学 2016-06-09 Wesley Tansey , Karl Pichotta , James G. Scott

The paper studies distributed static parameter (vector) estimation in sensor networks with nonlinear observation models and noisy inter-sensor communication. It introduces \emph{separably estimable} observation models that generalize the…

多智能体系统 · 计算机科学 2012-05-21 Soummya Kar , Jose M. F. Moura , Kavita Ramanan

In this article, we employ a collection of stochastic differential equations with drift and diffusion coefficients approximated by neural networks to predict the trend of chaotic time series which has big jump properties. Our contributions…

机器学习 · 计算机科学 2022-11-04 Luxuan Yang , Ting Gao , Yubin Lu , Jinqiao Duan , Tao Liu

In this article we show that a finite dimensional stochastic differential equation driven by a L\'evy process can be formulated as a stochastic partial differential equation. We prove the existence and uniqueness of strong solutions of such…

概率论 · 数学 2018-02-15 Suprio Bhar , Rajeev Bhaskaran , Barun Sarkar

The use of deep learning has successfully solved several problems in the field of medical imaging. Deep learning has been applied to the CT denoising problem successfully. However, the use of deep learning requires large amounts of data to…

图像与视频处理 · 电气工程与系统科学 2022-04-04 Mayank Patwari , Ralf Gutjahr , Rainer Raupach , Andreas Maier