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A variational inference-based framework for training a multi-output Gaussian process latent variable model, specifically tailored to the tails-up spatio-temporal stream network, is developed. Training, given a censored observational data…

统计方法学 · 统计学 2026-05-21 Marno Basson , Tobias M. Louw , Theresa R. Smith

Statistical arbitrage strategies, such as pairs trading and its generalizations, rely on the construction of mean-reverting spreads enjoying a certain degree of predictability. Gaussian linear state-space processes have recently been…

统计金融 · 定量金融 2009-05-19 Kostas Triantafyllopoulos , Giovanni Montana

Variational Bayes methods are a potential scalable estimation approach for state space models. However, existing methods are inaccurate or computationally infeasible for many state space models. This paper proposes a variational…

计量经济学 · 经济学 2023-06-05 Rubén Loaiza-Maya , Didier Nibbering

In this work we introduce the class of beta autoregressive fractionally integrated moving average models for continuous random variables taking values in the continuous unit interval $(0,1)$. The proposed model accommodates a set of…

Graph neural networks are often used to model interacting dynamical systems since they gracefully scale to systems with a varying and high number of agents. While there has been much progress made for deterministic interacting systems,…

机器学习 · 计算机科学 2023-05-04 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

This paper studies the fundamental problem of learning deep generative models that consist of multiple layers of latent variables organized in top-down architectures. Such models have high expressivity and allow for learning hierarchical…

机器学习 · 统计学 2020-07-21 Erik Nijkamp , Bo Pang , Tian Han , Linqi Zhou , Song-Chun Zhu , Ying Nian Wu

Learning shared structure across environments facilitates rapid learning and adaptive behavior in neural systems. This has been widely demonstrated and applied in machine learning to train models that are capable of generalizing to novel…

机器学习 · 统计学 2025-04-09 Ayesha Vermani , Josue Nassar , Hyungju Jeon , Matthew Dowling , Il Memming Park

Modeling nonstationary processes is of paramount importance to many scientific disciplines including environmental science, ecology, and finance, among others. Consequently, flexible methodology that provides accurate estimation across a…

统计方法学 · 统计学 2014-08-13 Wen-Hsi Yang , Scott H. Holan , Christopher K. Wikle

We propose a novel class of language models, Latent Thought Models (LTMs), which incorporate explicit latent thought vectors that follow an explicit prior model in latent space. These latent thought vectors guide the autoregressive…

计算与语言 · 计算机科学 2025-06-10 Deqian Kong , Minglu Zhao , Dehong Xu , Bo Pang , Shu Wang , Edouardo Honig , Zhangzhang Si , Chuan Li , Jianwen Xie , Sirui Xie , Ying Nian Wu

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

A new dynamic latent space eigenmodel (LSM) is proposed for weighted temporal networks. The model accommodates integer-valued weights, excess of zeros, time-varying node positions (features), and time-varying network sparsity. The latent…

统计方法学 · 统计学 2026-04-15 Roberto Casarin , Matteo Iacopini , Antonio Peruzzi

We present a variational method for online state estimation and parameter learning in state-space models (SSMs), a ubiquitous class of latent variable models for sequential data. As per standard batch variational techniques, we use…

机器学习 · 统计学 2022-06-16 Andrew Campbell , Yuyang Shi , Tom Rainforth , Arnaud Doucet

Recent advances in the estimation of deep directed graphical models and recurrent networks let us contribute to the removal of a blind spot in the area of probabilistc modelling of time series. The proposed methods i) can infer distributed…

机器学习 · 统计学 2014-10-01 Justin Bayer , Christian Osendorfer

Although static networks have been extensively studied in machine learning, data mining, and AI communities for many decades, the study of dynamic networks has recently taken center stage due to the prominence of social media and its…

社会与信息网络 · 计算机科学 2020-12-21 Tony Gracious , Shubham Gupta , Arun Kanthali , Rui M. Castro , Ambedkar Dukkipati

State-space mixed-frequency vector autoregressions are now widely used for nowcasting. Despite their popularity, estimating such models can be computationally intensive, especially for large systems with stochastic volatility. To tackle the…

计量经济学 · 经济学 2021-12-22 Joshua C. C. Chan , Aubrey Poon , Dan Zhu

State-space models effectively model multivariate time series by updating over time a representation of the system state from which predictions are made. The state representation is usually a vector without any explicit structure.…

机器学习 · 计算机科学 2026-04-07 Daniele Zambon , Andrea Cini , Cesare Alippi

Bayesian inference allows us to define a posterior distribution over the weights of a generic neural network (NN). Exact posteriors are usually intractable, in which case approximations can be employed. One such approximation - variational…

机器学习 · 计算机科学 2026-01-30 Andrew Millard , Joshua Murphy , Peter Green , Simon Maskell

Advances in experimental techniques allow the collection of high-resolution spatio-temporal data that track individual motile entities. These tracking data can be used to calibrate mathematical models describing the motility of individual…

统计方法学 · 统计学 2025-08-21 Arianna Ceccarelli , Alexander P. Browning , Tai Chaiamarit , Ilan Davis , Ruth E. Baker

How can we perform efficient inference and learning in directed probabilistic models, in the presence of continuous latent variables with intractable posterior distributions, and large datasets? We introduce a stochastic variational…

机器学习 · 统计学 2022-12-13 Diederik P Kingma , Max Welling

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

统计计算 · 统计学 2022-05-30 Emanuele Aliverti , Massimiliano Russo