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From an environmental standpoint, there are a few crucial aspects of training a neural network that have a major impact on the quantity of carbon that it emits. These factors include: the location of the server used for training and the…

计算机与社会 · 计算机科学 2019-11-06 Alexandre Lacoste , Alexandra Luccioni , Victor Schmidt , Thomas Dandres

We present Ordinary Differential Equation Variational Auto-Encoder (ODE$^2$VAE), a latent second order ODE model for high-dimensional sequential data. Leveraging the advances in deep generative models, ODE$^2$VAE can simultaneously learn…

机器学习 · 统计学 2019-10-25 Çağatay Yıldız , Markus Heinonen , Harri Lähdesmäki

Economic forecasting is concerned with the estimation of some variable like gross domestic product (GDP) in the next period given a set of variables that describes the current situation or state of the economy, including industrial…

计量经济学 · 经济学 2024-04-08 Pedro Afonso Fernandes

The size and complexity of deep neural networks continue to grow exponentially, significantly increasing energy consumption for training and inference by these models. We introduce an open-source package eco2AI to help data scientists and…

Accounting for over 20% of the total carbon emissions, the precise estimation of on-road transportation carbon emissions is crucial for carbon emission monitoring and efficient mitigation policy formulation. However, existing estimation…

机器学习 · 计算机科学 2024-02-09 Jinwei Zeng , Yu Liu , Jingtao Ding , Jian Yuan , Yong Li

The problem of detecting the Out-of-Distribution (OoD) inputs is of paramount importance for Deep Neural Networks. It has been previously shown that even Deep Generative Models that allow estimating the density of the inputs may not be…

机器学习 · 统计学 2023-01-02 Misha Glazunov , Apostolis Zarras

Background: Mathematical models based on ordinary differential equations (ODEs) are essential tools across various scientific disciplines, including biology, ecology, and healthcare informatics. They are used to simulate complex dynamic…

定量方法 · 定量生物学 2025-09-03 Hamed Karami , Amanda Bleichrodt , Ruiyan Luo , Gerardo Chowell

An automatic encoder (AE) extreme learning machine (ELM)-AE-ELM model is proposed to predict the NOx emission concentration based on the combination of mutual information algorithm (MI), AE, and ELM. First, the importance of practical…

机器学习 · 计算机科学 2022-07-05 Zhenhao Tang , Shikui Wang , Xiangying Chai , Shengxian Cao , Tinghui Ouyang , Yang Li

We aim to identify the generating, ordinary differential equation (ODE) from a set of trajectories of a partially observed system. Our approach does not need prescribed basis functions to learn the ODE model, but only a rich set of Neural…

机器学习 · 统计学 2020-03-13 Niklas Heim , Václav Šmídl , Tomáš Pevný

Objective probabilistic forecasts of future climate that include parameter uncertainty can be made by using the Bayesian prediction integral with the prior set to Jeffreys' Prior. The calculations involved in determining the prior can then…

大气与海洋物理 · 物理学 2010-05-24 Stephen Jewson , Dan Rowlands , Myles Allen

Urban areas play an unprecedented role in potentially mitigating climate change and supporting sustainable development. In light of the rapid urbanisation in many parts on the globe, it is crucial to understand the relationship between…

物理与社会 · 物理学 2018-03-19 Ramana Gudipudi , Diego Rybski , Matthias K. B. Lüdeke , Bin Zhou , Zhu Liu , Jürgen P. Kropp

End-to-end learning of dynamical systems with black-box models, such as neural ordinary differential equations (ODEs), provides a flexible framework for learning dynamics from data without prescribing a mathematical model for the dynamics.…

机器学习 · 统计学 2022-06-20 Paidamoyo Chapfuwa , Sherri Rose , Lawrence Carin , Edward Meeds , Ricardo Henao

Parameter inference in ordinary differential equations is an important problem in many applied sciences and in engineering, especially in a data-scarce setting. In this work, we introduce a novel generative modeling approach based on…

机器学习 · 计算机科学 2019-12-06 Philippe Wenk , Gabriele Abbati , Michael A Osborne , Bernhard Schölkopf , Andreas Krause , Stefan Bauer

Many physical processes such as weather phenomena or fluid mechanics are governed by partial differential equations (PDEs). Modelling such dynamical systems using Neural Networks is an active research field. However, current methods are…

机器学习 · 计算机科学 2022-10-12 Andrzej Dulny , Andreas Hotho , Anna Krause

Probabilistic forecasting in power systems often involves multi-entity datasets like households, feeders, and wind turbines, where generating reliable entity-specific forecasts presents significant challenges. Traditional approaches require…

机器学习 · 计算机科学 2025-06-27 Kutay Bölat , Simon Tindemans

Seasonal climate forecasts are socioeconomically important for managing the impacts of extreme weather events and for planning in sectors like agriculture and energy. Climate predictability on seasonal timescales is tied to boundary effects…

Ordinary differential equations (ODEs) are foundational in modeling intricate dynamics across a gamut of scientific disciplines. Yet, a possibility to represent a single phenomenon through multiple ODE models, driven by different…

统计方法学 · 统计学 2023-09-01 Itai Dattner , Shota Gugushvili , Oleksandr Laskorunskyi

Deep generative models have been demonstrated as problematic in the unsupervised out-of-distribution (OOD) detection task, where they tend to assign higher likelihoods to OOD samples. Previous studies on this issue are usually not…

机器学习 · 计算机科学 2024-01-04 Zezhen Zeng , Bin Liu

By interpreting the forward dynamics of the latent representation of neural networks as an ordinary differential equation, Neural Ordinary Differential Equation (Neural ODE) emerged as an effective framework for modeling a system dynamics…

机器学习 · 计算机科学 2020-10-19 Daehoon Gwak , Gyuhyeon Sim , Michael Poli , Stefano Massaroli , Jaegul Choo , Edward Choi

Chemical kinetics mechanisms are essential for understanding, analyzing, and simulating complex combustion phenomena. In this study, a Neural Ordinary Differential Equation (Neural ODE) framework is employed to optimize kinetics parameters…

化学物理 · 物理学 2022-09-07 Xingyu Su , Weiqi Ji , Jian An , Zhuyin Ren , Sili Deng , Chung K. Law