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The long horizon forecasting (LHF) problem has come up in the time series literature for over the last 35 years or so. This review covers aspects of LHF in this period and how deep learning has incorporated variants of trend, seasonality,…

Machine Learning · Computer Science 2025-06-17 Hans Krupakar , Kandappan V A

Selecting an appropriate look-back horizon remains a fundamental challenge in time series forecasting (TSF), particularly in the federated learning scenarios where data is decentralized, heterogeneous, and often non-independent. While…

Machine Learning · Computer Science 2026-01-06 Dahao Tang , Nan Yang , Yanli Li , Zhiyu Zhu , Zhibo Jin , Dong Yuan

Model-based reinforcement learning promises to learn an optimal policy from fewer interactions with the environment compared to model-free reinforcement learning by learning an intermediate model of the environment in order to predict…

Machine Learning · Computer Science 2022-06-08 Abhinav Bhatia , Philip S. Thomas , Shlomo Zilberstein

Large language models excel at short-horizon reasoning tasks, but performance drops as reasoning horizon lengths increase. Existing approaches to combat this rely on inference-time scaffolding or costly step-level supervision, neither of…

We show that learning can be improved by using loss functions that evolve cyclically during training to emphasize one class at a time. In underparameterized networks, such dynamical loss functions can lead to successful training for…

Machine Learning · Computer Science 2021-06-24 Miguel Ruiz-Garcia , Ge Zhang , Samuel S. Schoenholz , Andrea J. Liu

Model-based reinforcement learning is one approach to increase sample efficiency. However, the accuracy of the dynamics model and the resulting compounding error over modelled trajectories are commonly regarded as key limitations. A natural…

Machine Learning · Computer Science 2023-03-08 Daniel Palenicek , Michael Lutter , Joao Carvalho , Jan Peters

Forecasting is usually framed as a problem of model choice. This paper starts earlier, asking how much predictive information is available at each horizon. Under logarithmic loss, the answer is exact: the mutual information between the…

Applications · Statistics 2026-03-31 Peter Maurice Catt

The stability analysis of model predictive control schemes without terminal constraints and/or costs has attracted considerable attention during the last years. We pursue a recently proposed approach which can be used to determine a…

Optimization and Control · Mathematics 2014-01-16 Philipp Braun , Jürgen Pannek , Karl Worthmann

Large language models (LLMs) demonstrate remarkable reasoning capabilities, yet their performance often deteriorates sharply in long-horizon tasks, exhibiting systematic breakdown beyond certain scales. Conventional explanations primarily…

Artificial Intelligence · Computer Science 2026-02-09 Hsien-Jyh Liao

Model predictive control (MPC) is a powerful trajectory optimization control technique capable of controlling complex nonlinear systems while respecting system constraints and ensuring safe operation. The MPC's capabilities come at the cost…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Eivind Bøhn , Sebastien Gros , Signe Moe , Tor Arne Johansen

Robot navigation traditionally relies on building an explicit map that is used to plan collision-free trajectories to a desired target. In deformable, complex terrain, using geometric-based approaches can fail to find a path due to…

Robotics · Computer Science 2021-11-19 Adam Polevoy , Craig Knuth , Katie M. Popek , Kapil D. Katyal

Optimal decision-making compels us to anticipate the future at different horizons. However, in many domains connecting together predictions from multiple time horizons and abstractions levels across their organization becomes all the more…

Machine Learning · Computer Science 2023-07-06 Julien Leprince , Henrik Madsen , Jan Kloppenborg Møller , Wim Zeiler

Vision-language-action (VLA) models have shown remarkable capabilities in robotic manipulation, but their performance is sensitive to the $\textbf{action chunk length}$ used during training, termed $\textbf{horizon}$. Our empirical study…

Robotics · Computer Science 2025-11-25 Dong Jing , Gang Wang , Jiaqi Liu , Weiliang Tang , Zelong Sun , Yunchao Yao , Zhenyu Wei , Yunhui Liu , Zhiwu Lu , Mingyu Ding

Hail risk assessment is necessary to estimate and reduce damage to crops, orchards, and infrastructure. Also, it helps to estimate and reduce consequent losses for businesses and, particularly, insurance companies. But hail forecasting is…

Atmospheric and Oceanic Physics · Physics 2022-09-05 Ivan Lukyanenko , Mikhail Mozikov , Yury Maximov , Ilya Makarov

Legged robots must exhibit robust and agile locomotion across diverse, unstructured terrains, a challenge exacerbated under blind locomotion settings where terrain information is unavailable. This work introduces a hierarchical…

Robotics · Computer Science 2025-11-05 Matheus P. Angarola , Francisco Affonso , Marcelo Becker

Chaotic systems make long-horizon forecasts difficult because small perturbations in initial conditions cause trajectories to diverge at an exponential rate. In this setting, neural operators trained to minimize squared error losses, while…

Machine Learning · Computer Science 2024-04-18 Ruoxi Jiang , Peter Y. Lu , Elena Orlova , Rebecca Willett

Scaling law that rewards large datasets, complex models and enhanced data granularity has been observed in various fields of deep learning. Yet, studies on time series forecasting have cast doubt on scaling behaviors of deep learning…

Machine Learning · Computer Science 2024-11-13 Jingzhe Shi , Qinwei Ma , Huan Ma , Lei Li

The underlying loss landscapes of deep neural networks have a great impact on their training, but they have mainly been studied theoretically due to computational constraints. This work vastly reduces the time required to compute such loss…

Machine Learning · Computer Science 2021-12-17 Robert Bain

Chaotic dynamics, commonly seen in weather systems and fluid turbulence, are characterized by their sensitivity to initial conditions, which makes accurate prediction challenging. Recent approaches have focused on developing data-driven…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Sunbochen Tang , Themistoklis Sapsis , Navid Azizan

It is becoming increasingly common in regression to train neural networks that model the entire distribution even if only the mean is required for prediction. This additional modeling often comes with performance gain and the reasons behind…

Machine Learning · Computer Science 2024-10-22 Ehsan Imani , Kai Luedemann , Sam Scholnick-Hughes , Esraa Elelimy , Martha White