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Extreme weather events pose significant challenges, thereby demanding techniques for accurate analysis and precise forecasting to mitigate its impact. In recent years, deep learning techniques have emerged as a promising approach for…

Atmospheric and Oceanic Physics · Physics 2023-08-23 Shikha Verma , Kuldeep Srivastava , Akhilesh Tiwari , Shekhar Verma

Probabilistic model checking traditionally verifies properties on the expected value of a measure of interest. This restriction may fail to capture the quality of service of a significant proportion of a system's runs, especially when the…

Artificial Intelligence · Computer Science 2025-02-10 Xiaotong Ji , Hanchun Wang , Antonio Filieri , Ilenia Epifani

Probabilistic model checking computes probabilities and expected values related to designated behaviours of interest in Markov models. As a formal verification approach, it is applied to critical systems; thus we trust that probabilistic…

Logic in Computer Science · Computer Science 2021-10-19 Arnd Hartmanns

The paper proposes a new variant of a decision tree, called an Extreme Learning Tree. It consists of an extremely random tree with non-linear data transformation, and a linear observer that provides predictions based on the leaf index where…

Machine Learning · Computer Science 2019-12-20 Anton Akusok , Emil Eirola , Kaj-Mikael Björk , Amaury Lendasse

We review briefly the concepts underlying complex systems and probability distributions. The later are often taken as the first quantitative characteristics of complex systems, allowing one to detect the possible occurrence of regularities…

Data Analysis, Statistics and Probability · Physics 2007-07-17 D. Sornette

In the advent of democratized usage of large language models (LLMs), there is a growing desire to systematize LLM prompt creation and selection processes beyond iterative trial-and-error. Prior works majorly focus on searching the space of…

Computation and Language · Computer Science 2024-08-28 Michael Feffer , Ronald Xu , Yuekai Sun , Mikhail Yurochkin

This paper introduces the {\it particle swarm filter} (not to be confused with particle swarm optimization): a recursive and embarrassingly parallel algorithm that targets an approximation to the sequence of posterior predictive…

Methodology · Statistics 2021-02-16 Taylor R. Brown

This paper introduces a new class of robust estimates for ARMA models. They are M-estimates, but the residuals are computed so the effect of one outlier is limited to the period where it occurs. These estimates are closely related to those…

Statistics Theory · Mathematics 2009-04-02 Nora Muler , Daniel Peña , Víctor J. Yohai

We introduce a novel matrix-variate extension of the Heckman selection model to accommodate multiple outcomes, providing a flexible and natural generalization of classical selection models for matrix-valued data. By relying on the matrix…

Methodology · Statistics 2026-05-05 Heeju Lim , Carlos A. R. Diniz , Ofer Harel , Victor H. Lachos

Providing compact and understandable counterexamples for violated system properties is an essential task in model checking. Existing works on counterexamples for probabilistic systems so far computed either a large set of system runs or a…

Software Engineering · Computer Science 2016-11-26 Ralf Wimmer , Nils Jansen , Erika Ábrahám , Joost-Pieter Katoen

Probabilistic time series forecasting has played critical role in decision-making processes due to its capability to quantify uncertainties. Deep forecasting models, however, could be prone to input perturbations, and the notion of such…

Machine Learning · Computer Science 2022-02-25 TaeHo Yoon , Youngsuk Park , Ernest K. Ryu , Yuyang Wang

The paper advocates the use of a statistical tool dedicated to the exploration of data samples populated by several sources of events. This new technique, called sPlot, is able to unfold the contributions of the different sources to the…

Data Analysis, Statistics and Probability · Physics 2017-08-23 Muriel Pivk

In this paper I explain the reasons that led me to research and conceive a novel technology for dependency parsing, mixing together the strengths of data-driven transition-based and constraint-based approaches. In particular I highlight the…

Computation and Language · Computer Science 2015-07-22 Matteo Grella

By introducing a weight function into the density power divergence, we develop a new class of robust and smooth estimators for the tail index of Pareto-type distributions, offering improved efficiency in the presence of outliers. These…

Statistics Theory · Mathematics 2025-07-25 Saida Mancer , Abdelhakim Necir , Djamel Meraghni

Probabilistic numerical methods (PNMs) solve numerical problems via probabilistic inference. They have been developed for linear algebra, optimization, integration and differential equation simulation. PNMs naturally incorporate prior…

Recent papers have introduced a novel approach to explain why a Predictive Process Monitoring (PPM) model for outcome-oriented predictions provides wrong predictions. Moreover, they have shown how to exploit the explanations, obtained using…

Machine Learning · Computer Science 2023-03-28 Williams Rizzi , Chiara Di Francescomarino , Chiara Ghidini , Fabrizio Maria Maggi

The aim of a probabilistic output analysis is to derive a probability distribution of possible output values for a program from a probability distribution of its input. We present a method for performing static output analysis, based on…

Programming Languages · Computer Science 2015-09-30 Mads Rosendahl , Maja H. Kirkeby

The aim of a probabilistic resource analysis is to derive a probability distribution of possible resource usage for a program from a probability distribution of its input. We present an automated multi- phase rewriting based method to…

Programming Languages · Computer Science 2016-12-16 Maja H. Kirkeby , Mads Rosendahl

Complex risk is a critical factor for both intelligent systems and risk management. In this paper, we consider a special class of risk statistics, named complex risk statistics. Our result provides a new approach for addressing complex…

Risk Management · Quantitative Finance 2020-12-01 Fei Sun , Yichuan Dong

Recently a likelihood-based methodology has been developed by the Collaboratory for the Study of Earthquake Predictability (CSEP) with a view to testing and ranking seismicity models. We analyze this approach from the standpoint of possible…

Geophysics · Physics 2011-08-19 George Molchan
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