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Neural ordinary differential equations (NODE) have been proposed as a continuous depth generalization to popular deep learning models such as Residual networks (ResNets). They provide parameter efficiency and automate the model selection…

机器学习 · 计算机科学 2021-12-24 Srinivas Anumasa , P. K. Srijith

Machine learning (ML) inference is a real-time workload that must comply with strict Service Level Objectives (SLOs), including latency and accuracy targets. Unfortunately, ensuring that SLOs are not violated in inference-serving systems is…

机器学习 · 计算机科学 2022-04-19 Daniel Mendoza , Caroline Trippel

Neural ordinary differential equations (NODE) have been proposed as a continuous depth generalization to popular deep learning models such as Residual networks (ResNets). They provide parameter efficiency and automate the model selection…

机器学习 · 计算机科学 2021-12-24 Srinivas Anumasa , P. K. Srijith

In the modelling of stochastic phenomena, such as quasi-reaction systems, parameter estimation of kinetic rates can be challenging, particularly when the time gap between consecutive measurements is large. Local linear approximation…

统计方法学 · 统计学 2026-03-10 Matteo Framba , Veronica Vinciotti , Ernst C. Wit

We address the problem of simulation and parameter inference for chemical reaction networks described by the chemical Langevin equation, a stochastic differential equation (SDE) representation of the dynamics of the chemical species. This…

统计方法学 · 统计学 2025-08-18 Petar Jovanovski , Andrew Golightly , Umberto Picchini , Massimiliano Tamborrino

We devise a machine learning technique to solve the general problem of inferring network links that have time-delays. The goal is to do this purely from time-series data of the network nodal states. This task has applications in fields…

适应与自组织系统 · 物理学 2021-07-28 Amitava Banerjee , Joseph D. Hart , Rajarshi Roy , Edward Ott

Solving stiff ordinary differential equations (StODEs) requires sophisticated numerical solvers, which are often computationally expensive. In general, traditional explicit time integration schemes with restricted time step sizes are not…

机器学习 · 统计学 2025-11-20 William Cole Nockolds , C. G. Krishnanunni , Tan Bui-Thanh , Xianxhu Tang

Inspired by recent theoretical arguments, physics-informed echo state network (ESN) is discussed on the attempt to train a reservoir model absolutely in physics-informed manner. As the plainest work on such a purpose, an ODE (ordinary…

机器学习 · 计算机科学 2020-11-16 Dong Keun Oh

Latent stochastic differential equation (SDE) models are important tools for the unsupervised discovery of dynamical systems from data, with applications ranging from engineering to neuroscience. In these complex domains, exact posterior…

机器学习 · 计算机科学 2025-11-25 Amber Hu , Henry Smith , Scott Linderman

We consider the problem of estimating states and parameters in a model based on a system of coupled stochastic differential equations, based on noisy discrete-time data. Special attention is given to nonlinear dynamics and state-dependent…

统计方法学 · 统计学 2025-04-01 Uffe Høgsbro Thygesen , Kasper Kristensen

Stochastic Differential Equations (SDEs) serve as a powerful modeling tool in various scientific domains, including systems science, engineering, and ecological science. While the specific form of SDEs is typically known for a given…

统计方法学 · 统计学 2024-02-27 Xin Cai , Jingyu Yang , Zhibao Li , Hongqiao Wang , Miao Huang

Consider observing an undirected network that is `noisy' in the sense that there are Type I and Type II errors in the observation of edges. Such errors can arise, for example, in the context of inferring gene regulatory networks in genomics…

机器学习 · 统计学 2014-01-03 Prakash Balachandran , Edoardo Airoldi , Eric Kolaczyk

This paper considers estimating the parameters in a regime-switching stochastic differential equation(SDE) driven by Normal Inverse Gaussian(NIG) noise. The model under consideration incorporates a continuous-time finite state Markov chain…

统计计算 · 统计学 2024-12-10 Yuzhong Cheng , Hiroki Masuda

Topology inference for network systems (NSs) plays a crucial role in many areas. This paper advocates a causality-based method based on noisy observations from a single trajectory of a NS, which is represented by the state-space model with…

信号处理 · 电气工程与系统科学 2022-08-26 Yushan Li , Jianping He , Cailian Chen , Xinping Guan

We propose a novel problem formulation of continuous-time information propagation on heterogenous networks based on jump stochastic differential equations (SDE). The structure of the network and activation rates between nodes are naturally…

数值分析 · 数学 2018-10-26 Yaohua Zang , Gang Bao , Xiaojing Ye , Hongyuan Zha , Haomin Zhou

We present a novel generative modeling method called diffusion normalizing flow based on stochastic differential equations (SDEs). The algorithm consists of two neural SDEs: a forward SDE that gradually adds noise to the data to transform…

机器学习 · 计算机科学 2021-10-15 Qinsheng Zhang , Yongxin Chen

Trajectory mutual information is frequently used to quantify information transfer in biochemical systems. Tractable solutions of the trajectory mutual information can be obtained via the widely used Linear-Noise Approximation (LNA) using…

分子网络 · 定量生物学 2025-05-20 Anne-Lena Moor , Age Tjalma , Manuel Reinhardt , Pieter Rein ten Wolde , Christoph Zechner

Deep learning (DL) has been shown to outperform traditional, human-defined summary statistics of the Ly{\alpha} forest in constraining key astrophysical and cosmological parameters owing to its ability to tap into the realm of non-Gaussian…

天体物理仪器与方法 · 物理学 2025-10-24 Parth Nayak , Michael Walther , Daniel Gruen

Recent strides in low-latency spiking neural network (SNN) algorithms have drawn significant interest, particularly due to their event-driven computing nature and fast inference capability. One of the most efficient ways to construct a…

计算机视觉与模式识别 · 计算机科学 2023-12-12 Chen Li , Bipin Rajendran

Dynamic DNN optimization techniques such as layer-skipping offer increased adaptability and efficiency gains but can lead to i) a larger memory footprint as in decision gates, ii) increased training complexity (e.g., with non-differentiable…

机器学习 · 计算机科学 2025-05-26 Guilherme Korol , Antonio Carlos Schneider Beck , Jeronimo Castrillon