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Multivariate time series forecasting with hierarchical structure is pervasive in real-world applications, demanding not only predicting each level of the hierarchy, but also reconciling all forecasts to ensure coherency, i.e., the forecasts…

Machine Learning · Computer Science 2025-03-04 Shiyu Wang , Fan Zhou , Yinbo Sun , Lintao Ma , James Zhang , Yangfei Zheng

Second order stationary models in time series analysis are based on the analysis of essential statistics whose computations follow a common pattern. In particular, with a map-reduce nomenclature, most of these operations can be modeled as…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-23 Francois Belletti , Evan Sparks , Michael Franklin , Alexandre M. Bayen

We introduce a new approach for amortizing inference in directed graphical models by learning heuristic approximations to stochastic inverses, designed specifically for use as proposal distributions in sequential Monte Carlo methods. We…

Machine Learning · Statistics 2018-03-09 Brooks Paige , Frank Wood

The reduced-rank vector autoregressive (VAR) model can be interpreted as a supervised factor model, where two factor modelings are simultaneously applied to response and predictor spaces. This article introduces a new model, called vector…

Methodology · Statistics 2023-06-16 Di Wang , Xiaoyu Zhang , Guodong Li , Ruey Tsay

We apply recent advances in deep generative modeling to the task of imitation learning from biological agents. Specifically, we apply variations of the variational recurrent neural network model to a multi-agent setting where we learn…

Machine Learning · Computer Science 2020-07-02 Michael Teng , Tuan Anh Le , Adam Scibior , Frank Wood

Deep model-based reinforcement learning methods offer a conceptually simple approach to the decision-making and control problem: use learning for the purpose of estimating an approximate dynamics model, and offload the rest of the work to…

Machine Learning · Computer Science 2023-07-13 Michael Janner

Gaussian state space models have been used for decades as generative models of sequential data. They admit an intuitive probabilistic interpretation, have a simple functional form, and enjoy widespread adoption. We introduce a unified…

Machine Learning · Statistics 2016-12-06 Rahul G. Krishnan , Uri Shalit , David Sontag

This paper addresses differential inference in time-varying parametric probabilistic models, like graphical models with changing structures. Instead of estimating a high-dimensional model at each time point and estimating changes later, we…

Machine Learning · Statistics 2025-04-08 Daniel J. Williams , Leyang Wang , Qizhen Ying , Song Liu , Mladen Kolar

In this paper, we propose a machine learning approach for forecasting hierarchical time series. When dealing with hierarchical time series, apart from generating accurate forecasts, one needs to select a suitable method for producing…

Machine Learning · Computer Science 2021-07-12 Paolo Mancuso , Veronica Piccialli , Antonio M. Sudoso

Time series analysis remains a major challenge due to its sparse characteristics, high dimensionality, and inconsistent data quality. Recent advancements in transformer-based techniques have enhanced capabilities in forecasting and…

Machine Learning · Computer Science 2024-05-29 Robert Leppich , Vanessa Borst , Veronika Lesch , Samuel Kounev

This article considers to model large-dimensional matrix time series by introducing a regression term to the matrix factor model. This is an extension of classic matrix factor model to incorporate the information of known factors or useful…

Methodology · Statistics 2024-11-26 Yongchang Hui , Yuteng Zhang , Siting Huang

Time-series forecasting plays an important role in many real-world scenarios, such as equipment life cycle forecasting, weather forecasting, and traffic flow forecasting. It can be observed from recent research that a variety of…

Machine Learning · Computer Science 2022-06-14 Benhan Li , Shengdong Du , Tianrui Li , Jie Hu , Zhen Jia

Language models with recurrent depth, also referred to as universal or looped when considering transformers, are defined by the capacity to increase their computation through the repetition of layers. Recent efforts in pretraining have…

Machine Learning · Computer Science 2025-10-17 Jonas Geiping , Xinyu Yang , Guinan Su

We investigate causal computations taking sequences of inputs to sequences of outputs where the $n$th output depends on the first $n$ inputs only. We model these in category theory via a construction taking a Cartesian category $C$ to…

Logic in Computer Science · Computer Science 2019-03-05 David Sprunger , Shin-ya Katsumata

Time series models aim for accurate predictions of the future given the past, where the forecasts are used for important downstream tasks like business decision making. In practice, deep learning based time series models come in many forms,…

Machine Learning · Computer Science 2022-06-01 Kashif Rasul , Young-Jin Park , Max Nihlén Ramström , Kyung-Min Kim

Deep learning applies hierarchical layers of hidden variables to construct nonlinear high dimensional predictors. Our goal is to develop and train deep learning architectures for spatio-temporal modeling. Training a deep architecture is…

Machine Learning · Statistics 2018-05-08 Matthew F. Dixon , Nicholas G. Polson , Vadim O. Sokolov

Understanding directed temporal interactions in multivariate time series is essential for interpreting complex dynamical systems and the predictive models trained on them. We present Causal-INSIGHT, a model-agnostic, post-hoc interpretation…

Machine Learning · Computer Science 2026-03-27 Benjamin Redden , Hui Wang , Shuyan Li

Discovering causal structures with latent variables from observational data is a fundamental challenge in causal discovery. Existing methods often rely on constraint-based, iterative discrete searches, limiting their scalability to large…

Machine Learning · Computer Science 2024-12-02 Parjanya Prashant , Ignavier Ng , Kun Zhang , Biwei Huang

The traditional approach of hand-crafting priors (such as sparsity) for solving inverse problems is slowly being replaced by the use of richer learned priors (such as those modeled by deep generative networks). In this work, we study the…

Machine Learning · Computer Science 2021-05-14 Viraj Shah , Rakib Hyder , M. Salman Asif , Chinmay Hegde

Diffusion models have emerged as a powerful framework for generative tasks in deep learning. They decompose generative modeling into two computational primitives: deterministic neural-network evaluation and stochastic sampling. Current…

Machine Learning · Computer Science 2026-03-31 Nihal Sanjay Singh , Mazdak Mohseni-Rajaee , Shaila Niazi , Kerem Y. Camsari
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