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We present a proximal algorithm that performs a variational recursion on the space of joint probability measures to propagate the stochastic uncertainties in power system dynamics over high dimensional state space. The proposed algorithm…

最优化与控制 · 数学 2022-08-26 Abhishek Halder , Kenneth F. Caluya , Pegah Ojaghi , Xinbo Geng

Expectation propagation (EP) is a family of algorithms for performing approximate inference in probabilistic models. The updates of EP involve the evaluation of moments -- expectations of certain functions -- which can be estimated from…

机器学习 · 统计学 2024-10-30 Jonathan So , Richard E. Turner

The Fisher information matrix (FM) plays an important role in forecasts and inferences in many areas of physics. While giving fast parameter estimation with the Gaussian likelihood approximation in the parameter space, the FM can only give…

广义相对论与量子宇宙学 · 物理学 2022-06-22 Ziming Wang , Chang Liu , Junjie Zhao , Lijing Shao

Parameterised models that predict the gravitational-wave (GW) signal from merging black holes are used to extract source properties from GW observations. The majority of research in this area has focused on developing methods capable of…

广义相对论与量子宇宙学 · 物理学 2024-09-09 Sebastian Khan

The projection filter is one of the approximations to the solution of the optimal filtering problem. It approximates the filtering density by projecting the dynamics of the square-root filtering density onto the tangent space of the…

最优化与控制 · 数学 2025-09-30 Muhammad Fuady Emzir

This paper addresses the problem of robust fault detection filtering for linear time-varying (LTV) systems with non-Gaussian noise and additive faults. The conventional generalized likelihood ratio (GLR) method utilizes the Kalman filter,…

最优化与控制 · 数学 2025-04-25 Zhemeng Zhang , Yifei Nie , Le Yin

This paper proposes a novel hybrid model, termed GARCH-FIS, for recursive rolling multi-step forecasting of financial time series. It integrates a Fuzzy Inference System (FIS) with a Generalized Autoregressive Conditional Heteroskedasticity…

机器学习 · 计算机科学 2026-03-17 Wen-Jing Li , Da-Qing Zhang

The accuracy of Bayesian inference can be negatively affected by the use of inaccurate forward models. In the case of gravitational-wave inference, accurate but computationally expensive waveform models are sometimes substituted with faster…

天体物理仪器与方法 · 物理学 2024-04-02 Miaoxin Liu , Xiao-Dong Li , Alvin J. K. Chua

Gravitational-wave detection strategies are based on a signal analysis technique known as matched filtering. Despite the success of matched filtering, due to its computational cost, there has been recent interest in developing deep…

广义相对论与量子宇宙学 · 物理学 2022-11-03 Dwyer S. Deighan , Scott E. Field , Collin D. Capano , Gaurav Khanna

We propose parameterizing the population distribution of the gravitational wave population modeling framework (Hierarchical Bayesian Analysis) with a normalizing flow. We first demonstrate the merit of this method on illustrative…

天体物理仪器与方法 · 物理学 2023-01-02 David Ruhe , Kaze Wong , Miles Cranmer , Patrick Forré

A stream of algorithmic advances has steadily increased the popularity of the Bayesian approach as an inference paradigm, both from the theoretical and applied perspective. Even with apparent successes in numerous application fields, a…

统计方法学 · 统计学 2020-07-10 Owen Thomas , Henri Pesonen , Jukka Corander

Federated learning (FL) scenarios inherently generate a large communication overhead by frequently transmitting neural network updates between clients and server. To minimize the communication cost, introducing sparsity in conjunction with…

Graph Neural Networks (GNNs) have achieved significant success in addressing node classification tasks. However, the effectiveness of traditional GNNs degrades on heterophilic graphs, where connected nodes often belong to different labels…

机器学习 · 计算机科学 2025-11-11 Asela Hevapathige , Asiri Wijesinghe , Ahad N. Zehmakan

The interdependence between nodes in graphs is key to improve class predictions on nodes and utilized in approaches like Label Propagation (LP) or in Graph Neural Networks (GNN). Nonetheless, uncertainty estimation for non-independent…

A common goal throughout science and engineering is to solve optimization problems constrained by computational models. However, in many cases a high-fidelity numerical emulation of systems cannot be optimized due to code complexity and…

数值分析 · 数学 2023-05-31 Joseph Hart , Bart van Bloemen Waanders

This paper introduces an innovative realized volatility (RV) forecasting framework that extends the conventional Heterogeneous autoregressive (HAR) model via integrating Graph Signal Processing (GSP). The study first evaluates various…

综合金融 · 定量金融 2025-09-18 Zhengyang Chi , Junbin Gao , Chao Wang

This paper introduces a novel Bayesian approach to detect changes in the variance of a Gaussian sequence model, focusing on quantifying the uncertainty in the change point locations and providing a scalable algorithm for inference. Such a…

统计方法学 · 统计学 2025-03-04 Lorenzo Cappello , Oscar Hernan Madrid Padilla

Generative Flow Networks (GFlowNets) learn to sample states proportional to an unnormalized reward. Despite their theoretical promise, practical training is often unstable, exhibiting severe loss spikes and mode collapse. To tackle this, we…

Embodied agents must explore partially observed environments while maintaining reliable long-horizon memory. Existing graph-based navigation systems improve scalability, but they often treat unexplored regions as semantically unknown,…

计算机视觉与模式识别 · 计算机科学 2026-04-07 Peixin Chen , Guoxi Zhang , Jianwei Ma , Qing Li

Bayesian predictive inference propagates parameter uncertainty to quantities of interest through the posterior-predictive distribution. In practice, this is typically performed using a two-stage procedure: first approximating the posterior…

机器学习 · 统计学 2026-05-06 Nan Feng , Xun Huan