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Applications from finance to epidemiology and cyber-security require accurate forecasts of dynamic phenomena, which are often only partially observed. We demonstrate that a system's predictability degrades as a function of temporal…

Computers and Society · Computer Science 2020-01-22 Andrés Abeliuk , Zhishen Huang , Emilio Ferrara , Kristina Lerman

The increasing importance of solar power for electricity generation leads to an increasing demand for probabilistic forecasting of local and aggregated PV yields. In this paper we use an indirect modeling approach for hourly medium to long…

Applications · Statistics 2020-02-24 Alfred Müller , Matthias Reuber

Many supervised machine learning tasks, such as future state prediction in dynamical systems, require precise modeling of a forecast's uncertainty. The Multiple Hypotheses Prediction (MHP) approach addresses this problem by providing…

Machine Learning · Computer Science 2021-10-07 Tobias Leemann , Moritz Sackmann , Jörn Thielecke , Ulrich Hofmann

In order to reach the supply/demand balance, electricity providers need to predict the demand and production of electricity at different time scales. This implies the need of modeling weather variables such as temperature, wind speed, solar…

Applications · Statistics 2017-10-24 Augustin Touron

Computing the distribution of trajectories from a Gaussian Process model of a dynamical system is an important challenge in utilizing such models. Motivated by the computational cost of sampling-based approaches, we consider approximations…

Machine Learning · Statistics 2023-05-16 Steffen Ridderbusch , Sina Ober-Blöbaum , Paul Goulart

We study the evolution of distributions under the action of an ergodic dynamical system, which may be stochastic in nature. By employing tools from Koopman and transfer operator theory one can evolve any initial distribution of the state…

Machine Learning · Statistics 2023-12-22 Prune Inzerilli , Vladimir Kostic , Karim Lounici , Pietro Novelli , Massimiliano Pontil

It is important to predict how the Global Mean Temperature (GMT) will evolve in the next few decades. The ability to predict historical data is a necessary first step toward the actual goal of making long-range forecasts. This paper…

Applications · Statistics 2023-03-14 Debdarsan Niyogi , J. Srinivasan

When machine learning systems meet real world applications, accuracy is only one of several requirements. In this paper, we assay a complementary perspective originating from the increasing availability of pre-trained and regularly…

The impact of predictive algorithms on people's lives and livelihoods has been noted in medicine, criminal justice, finance, hiring and admissions. Most of these algorithms are developed using data and human capital from highly developed…

Machine Learning · Computer Science 2021-03-30 Xingyu Li , Difan Song , Miaozhe Han , Yu Zhang , Rene F. Kizilcec

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

Forecasters often use common information and hence make common mistakes. We propose a new approach, Factor Graphical Model (FGM), to forecast combinations that separates idiosyncratic forecast errors from the common errors. FGM exploits the…

Econometrics · Economics 2021-05-19 Tae-Hwy Lee , Ekaterina Seregina

Computing systems interacting with real-world processes must safely and reliably process uncertain data. The Monte Carlo method is a popular approach for computing with such uncertain values. This article introduces a framework for…

It is often known, from modelling studies, that a certain mode of climate tipping (of the oceanic thermohaline circulation, for example) is governed by an underlying fold bifurcation. For such a case we present a scheme of analysis that…

Dynamical Systems · Mathematics 2010-12-15 J. M. T. Thompson , Jan Sieber

Predicting the future motion of vehicles has been studied using various techniques, including stochastic policies, generative models, and regression. Recent work has shown that classification over a trajectory set, which approximates…

Machine Learning · Computer Science 2021-01-15 Freddy A. Boulton , Elena Corina Grigore , Eric M. Wolff

The classical paradigm of scoring rules is to discriminate between two different forecasts by comparing them with observations. The probability distribution of the observed record is assumed to be perfect as a verification benchmark. In…

Methodology · Statistics 2021-08-06 Julie Bessac , Philippe Naveau

We consider a multi-type Moran model (in continuous time) with selection and type-dependent mutation. This paper is concerned with the evolution of genealogical information forward in time. For this purpose we define and analytically…

Probability · Mathematics 2015-11-19 Peter Seidel

As in many other areas of engineering and applied science, Machine Learning (ML) is having a profound impact in the domain of Weather and Climate Prediction. A very recent development in this area has been the emergence of fully data-driven…

Machine Learning · Statistics 2023-11-06 Massimo Bonavita

Recently, diffusion probabilistic models (DPMs) have achieved promising results in diverse generative tasks. A typical DPM framework includes a forward process that gradually diffuses the data distribution and a reverse process that…

Machine Learning · Computer Science 2023-10-31 Tianyu Pang , Cheng Lu , Chao Du , Min Lin , Shuicheng Yan , Zhijie Deng

In this work we adapt a prediction-correction algorithm for continuous time-varying convex optimization problems to solve dynamic programs arising from Model Predictive Control. In particular, the prediction step tracks the evolution of the…

Systems and Control · Electrical Eng. & Systems 2019-11-25 Santiago Paternain , Manfred Morari , Alejandro Ribeiro

The high penetration of volatile renewable energy sources such as solar make methods for coping with the uncertainty associated with them of paramount importance. Probabilistic forecasts are an example of these methods, as they assist…

Machine Learning · Computer Science 2021-01-21 Vinayak Sharma , Jorge Angel Gonzalez Ordiano , Ralf Mikut , Umit Cali