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Dynamical weather and climate prediction models underpin many studies of the Earth system and hold the promise of being able to make robust projections of future climate change based on physical laws. However, simulations from these models…

Atmospheric and Oceanic Physics · Physics 2019-09-04 Peter A. G. Watson

Renewable energy sources provide a constantly increasing contribution to the total energy production worldwide. However, the power generation from these sources is highly variable due to their dependence on meteorological conditions.…

Applications · Statistics 2019-03-05 Thordis Thorarinsdottir , Anders Løland , Alex Lenkoski

Time series forecasting uses historical data to predict future trends, leveraging the relationships between past observations and available features. In this paper, we propose RAFT, a retrieval-augmented time series forecasting method to…

Machine Learning · Computer Science 2025-05-08 Sungwon Han , Seungeon Lee , Meeyoung Cha , Sercan O Arik , Jinsung Yoon

Data-driven machine learning models for weather forecasting have made transformational progress in the last 1-2 years, with state-of-the-art ones now outperforming the best physics-based models for a wide range of skill scores. Given the…

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…

Predicting the future state of a system has always been a natural motivation for science and practical applications. Such a topic, beyond its obvious technical and societal relevance, is also interesting from a conceptual point of view.…

Physics and Society · Physics 2019-04-25 Hykel Hosni , Angelo Vulpiani

Algorithmic predictions are increasingly informing societal resource allocations by identifying individuals for targeting. Policymakers often build these systems with the assumption that by gathering more observations on individuals, they…

Machine Learning · Computer Science 2025-03-04 Ali Shirali , Ariel Procaccia , Rediet Abebe

The famous (3n + 1) or Collatz conjecture has admitted some progress over the last several decades towards the conclusion that the conjecture is true (i.e. that all Collatz sequences will eventually reach a value of one), but has stubbornly…

General Mathematics · Mathematics 2021-03-30 Brian Mohan Gurbaxani

The process of technological change can be regarded as a non-deterministic system governed by factors of a cumulative nature that generate cyclical phenomena. In this context, the process of growth and decline of technology can be…

General Economics · Economics 2020-10-14 Mario Coccia

Researchers in empirical software engineering often make claims based on observable data such as defect reports. Unfortunately, in many cases, these claims are generalized beyond the data sets that have been evaluated. Will the researcher's…

Software Engineering · Computer Science 2020-08-10 Abdul Ali Bangash , Hareem Sahar , Abram Hindle , Karim Ali

From biotechnology to cyber-risks, most extreme technological risks cannot be reliably estimated from historical statistics. Therefore, engineers resort to predictive methods, such as fault/event trees in the framework of probabilistic…

Physics and Society · Physics 2014-08-26 D. Sornette , T. Maillart , W. Kroeger

Data-driven modeling based on machine learning (ML) is showing enormous potential for weather forecasting. Rapid progress has been made with impressive results for some applications. The uptake of ML methods could be a game-changer for the…

We propose an approach to estimate the number of samples required for a model to reach a target performance. We find that the power law, the de facto principle to estimate model performance, leads to large error when using a small dataset…

Dematerialization is the reduction in the quantity of materials needed to produce something useful over time. Dematerialization fundamentally derives from ongoing increases in technical performance but it can be counteracted by demand…

Economics · Quantitative Finance 2016-02-02 Christopher L. Magee , Tessaleno C. Devezas

We introduce a technique of time series analysis, potential forecasting, which is based on dynamical propagation of the probability density of time series. We employ polynomial coefficients of the orthogonal approximation of the empirical…

Data Analysis, Statistics and Probability · Physics 2015-06-12 V. N. Livina , G. Lohmann , M. Mudelsee , T. M. Lenton

By adopting a citation-based recursive ranking method for patents the evolution of new fields of technology can be traced. Specifically, it is demonstrated that the laser / inkjet printer technology emerged from the recombination of two…

Digital Libraries · Computer Science 2016-02-26 Péter Bruck , István Réthy , Judit Szente , Jan Tobochnik , Péter Érdi

The inputs and preferences of human users are important considerations in situations where these users interact with autonomous cyber or cyber-physical systems. In these scenarios, one is often interested in aligning behaviors of the system…

Machine Learning · Computer Science 2021-04-02 Bhaskar Ramasubramanian , Luyao Niu , Andrew Clark , Radha Poovendran

Investors are interested in predicting future success of startup companies, preferably using publicly available data which can be gathered using free online sources. Using public-only data has been shown to work, but there is still much…

Machine Learning · Computer Science 2023-12-12 Emily Gavrilenko , Foaad Khosmood , Mahdi Rastad , Sadra Amiri Moghaddam

Proposed in 1937, the Collatz conjecture has remained in the spotlight for mathematicians and computer scientists alike due to its simple proposal, yet intractable proof. In this paper, we propose several novel theorems, corollaries, and…

Number Theory · Mathematics 2021-06-16 Michael R. Schwob , Peter Shiue , Rama Venkat