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Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with representative datasets. Recently, an augmented framework has been…

机器学习 · 计算机科学 2023-04-12 Qunxi Zhu , Yao Guo , Wei Lin

We introduce EVE (Elemental Variational Expanse), a variational distributional neuron formulated as a local probabilistic computational unit with an explicit prior, an amortized posterior, and unit-level variational regularization. In most…

机器学习 · 计算机科学 2026-03-17 Yves Ruffenach

A key appeal of the recently proposed Neural Ordinary Differential Equation (ODE) framework is that it seems to provide a continuous-time extension of discrete residual neural networks. As we show herein, though, trained Neural ODE models…

机器学习 · 计算机科学 2023-09-12 Katharina Ott , Prateek Katiyar , Philipp Hennig , Michael Tiemann

Graph neural networks have shown remarkable success in exploiting the spatial and temporal patterns on dynamic graphs. However, existing GNNs exhibit poor generalization ability under distribution shifts, which is inevitable in dynamic…

机器学习 · 计算机科学 2025-11-25 Qingyun Sun , Jiayi Luo , Haonan Yuan , Xingcheng Fu , Hao Peng , Jianxin Li , Philip S. Yu

Neural networks are often utilised in critical domain applications (e.g. self-driving cars, financial markets, and aerospace engineering), even though they exhibit overconfident predictions for ambiguous inputs. This deficiency demonstrates…

机器学习 · 计算机科学 2023-01-03 John Mitros , Brian Mac Namee

This paper proposes a general enhancement to the Normalizing Flows (NF) used in neural vocoding. As a case study, we improve expressive speech vocoding with a revamped Parallel Wavenet (PW). Specifically, we propose to extend the affine…

音频与语音处理 · 电气工程与系统科学 2022-02-17 Adam Gabryś , Yunlong Jiao , Viacheslav Klimkov , Daniel Korzekwa , Roberto Barra-Chicote

The generalization of neural networks is a central challenge in machine learning, especially concerning the performance under distributions that differ from training ones. Current methods, mainly based on the data-driven paradigm such as…

机器学习 · 计算机科学 2023-12-18 Yige Yuan , Bingbing Xu , Bo Lin , Liang Hou , Fei Sun , Huawei Shen , Xueqi Cheng

Adaptive moment methods such as Adam use a diagonal, coordinate-wise preconditioner based on exponential moving averages of squared gradients. This diagonal scaling is coordinate-system dependent and can struggle with dense or rotated…

机器学习 · 计算机科学 2026-04-09 Devender Singh , Tarun Sheel

A normalizing flow models a complex probability density as an invertible transformation of a simple base density. Flows based on either coupling or autoregressive transforms both offer exact density evaluation and sampling, but rely on the…

机器学习 · 统计学 2019-12-03 Conor Durkan , Artur Bekasov , Iain Murray , George Papamakarios

Numerous applications of machine learning involve representing probability distributions over high-dimensional data. We propose autoregressive quantile flows, a flexible class of normalizing flow models trained using a novel objective based…

机器学习 · 计算机科学 2023-02-17 Phillip Si , Allan Bishop , Volodymyr Kuleshov

Autoregressive models are among the best performing neural density estimators. We describe an approach for increasing the flexibility of an autoregressive model, based on modelling the random numbers that the model uses internally when…

机器学习 · 统计学 2018-06-15 George Papamakarios , Theo Pavlakou , Iain Murray

Complex fluids flow in complex ways in complex structures. Transport of water and various organic and inorganic molecules in the central nervous system are important in a wide range of biological and medical processes [C. Nicholson, and S.…

生物物理 · 物理学 2021-05-19 Yi Zhu , Shixin Xu , Robert S. Eisenberg , Huaxiong Huang

The growing penetration of distributed energy resources (DERs), electric vehicles (EVs), and heat pumps (HPs) in distribution networks underscores the need for secure, computationally efficient optimal power flow (OPF) solutions.…

系统与控制 · 电气工程与系统科学 2026-04-15 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou

This paper presents a new data-driven non-intrusive reduced-order model(NIROM) that outperforms the traditional Proper orthogonal decomposition (POD) based reducedorder model. This is achieved by using Auto-Encoder(AE) and attention-based…

计算物理 · 物理学 2021-09-07 R. Fu , D. Xiao , I. M. Navon , C. Wang

The present work introduces the hybrid consensus alternating direction method of multipliers (H-CADMM), a novel framework for optimization over networks which unifies existing distributed optimization approaches, including the centralized…

最优化与控制 · 数学 2018-05-10 Meng Ma , Athanasios N. Nikolakopoulos , Georgios B. Giannakis

Normalizing flows are deep generative models that enable efficient likelihood estimation and sampling through invertible transformations. A key challenge is to design linear layers that enhance expressiveness while maintaining efficient…

机器学习 · 计算机科学 2025-11-18 Xuchen Feng , Siyu Liao

Neural Ordinary Differential Equations (ODEs) are elegant reinterpretations of deep networks where continuous time can replace the discrete notion of depth, ODE solvers perform forward propagation, and the adjoint method enables efficient,…

Forecasting atmospheric flows with traditional discretization methods, also called full order methods (e.g., finite element methods or finite volume methods), is computationally expensive. We propose to reduce the computational cost with a…

数值分析 · 数学 2025-04-03 Arash Hajisharifi , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

The distinctive architectural features of normalizing flows (NFs), notably bijectivity and tractable Jacobians, make them well-suited for generative modeling. Invertible neural networks (INNs) build on these principles to address supervised…

机器学习 · 计算机科学 2026-02-25 Shubhanshu Shekhar , Mohammad Javad Khojasteh , Ananya Acharya , Tony Tohme , Kamal Youcef-Toumi

Neural ordinary differential equations (ODEs) have attracted much attention as continuous-time counterparts of deep residual neural networks (NNs), and numerous extensions for recurrent NNs have been proposed. Since the 1980s, ODEs have…

机器学习 · 计算机科学 2022-10-17 Kazuki Irie , Francesco Faccio , Jürgen Schmidhuber