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We consider contact processes on the hierarchical group, where sites infect other sites at a rate depending on their hierarchical distance, and sites become healthy with a constant recovery rate. If the infection rates decay too fast as a…

Probability · Mathematics 2009-03-02 Siva R. Athreya , Jan M. Swart

In a recent study [arXiv:1011.3254] the contact process with a modified creation rate at a single site was shown to exhibit a non-universal scaling behavior with exponents varying with the creation rate at the special site. In the present…

Statistical Mechanics · Physics 2011-03-01 Andre Cardoso Barato , Haye Hinrichsen

The superposition of temporal point processes has been studied for many years, although the usefulness of such models for practical applications has not be fully developed. We investigate superposed Hawkes process as an important class of…

Machine Learning · Statistics 2018-02-15 Hongteng Xu , Dixin Luo , Xu Chen , Lawrence Carin

The accurate evaluation of differential treatment in language models to specific groups is critical to ensuring a positive and safe user experience. An ideal evaluation should have the properties of being robust, extendable to new groups or…

Computation and Language · Computer Science 2024-04-11 Jane Dwivedi-Yu , Raaz Dwivedi , Timo Schick

The development of rigorous quality assessment model relies on the collection of reliable subjective data, where the perceived quality of visual multimedia is rated by the human observers. Different subjective assessment protocols can be…

Artificial Intelligence · Computer Science 2020-10-02 Suiyi Ling , Jing Li , Anne Flore Perrin , Zhi Li , Lukáš Krasula , Patrick Le Callet

In recent years, it became clear that super-spreader events play an important role, particularly in the spread of airborne infections. We investigate a novel model for super-spreader events, not based on a heterogeneous contact graph but on…

Populations and Evolution · Quantitative Biology 2021-04-13 Johannes Müller , Volker Hösel

We investigate electron-positron pair production in pulse-shaped electric background fields using a non-Markovian quantum kinetic equation. We identify a pulse-length range for subcritical fields still in the nonperturbative regime where…

High Energy Physics - Phenomenology · Physics 2008-12-18 Florian Hebenstreit , Reinhard Alkofer , Holger Gies

The purpose of this paper is to explain the discrepancies existing in the literature relative to $e^+e^-$ pair production in peripheral heavy ion collisions at ultra-relativistic energies. A controversial issue is the possible cancellation…

Nuclear Theory · Physics 2009-11-07 A. J. Baltz , F. Gelis , L. McLerran , A. Peshier

We construct an asymptotic expansion in powers of the coupling constant directly of the cross-section for pair production and decay of fundamental unstable particles. The resonant and kinematic singularities arising in the expansion we…

High Energy Physics - Phenomenology · Physics 2010-01-21 M. L. Nekrasov

Electron-positron pair production is considered for many-center systems with multiple bare nuclei immersed in a constant electric field. It is shown that there are two distinct regimes where the pair production rate is enhanced. At small…

Quantum Physics · Physics 2013-08-09 François Fillion-Gourdeau , Emmanuel Lorin , André D. Bandrauk

The pair-contact process 2A->3A, 2A->0 with diffusion of individual particles is a simple branching-annihilation processes which exhibits a phase transition from an active into an absorbing phase with an unusual type of critical behaviour…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Haye Hinrichsen

We discuss the critical behaviour of 2D Ising and q-states Potts models coupled by their energy density. We found new tricritical points. The procedure employed is the renormalisation approach of the perturbations series around conformal…

Statistical Mechanics · Physics 2009-10-30 P. Simon

We propose an interactive methodology for generating counterfactual explanations for univariate time series data in classification tasks by leveraging 2D projections and decision boundary maps to tackle interpretability challenges. Our…

Machine Learning · Computer Science 2024-08-21 Udo Schlegel , Julius Rauscher , Daniel A. Keim

At the point of a second order phase transition also termed as a critical point, systems display long range order and their macroscopic behaviors are independent of the microscopic details making up the system. Due to these properties, it…

Neurons and Cognition · Quantitative Biology 2017-07-18 Vaibhav Wasnik

Thanks to technological advances leading to near-continuous time observations, emerging multivariate point process data offer new opportunities for causal discovery. However, a key obstacle in achieving this goal is that many relevant…

Machine Learning · Statistics 2021-12-15 Xu Wang , Ali Shojaie

The existing emotion-cause pair extraction (ECPE) task, unfortunately, ignores extracting the emotion type and cause type, while these fine-grained meta-information can be practically useful in real-world applications, i.e., chat robots and…

Computation and Language · Computer Science 2023-06-13 Li Zheng , Donghong Ji , Fei Li , Hao Fei , Shengqiong Wu , Jingye Li , Bobo Li , Chong Teng

We present a procedure to solve the inverse Ising problem, that is to find the interactions between a set of binary variables from the measure of their equilibrium correlations. The method consists in constructing and selecting specific…

Disordered Systems and Neural Networks · Physics 2015-05-30 Simona Cocco , Rémi Monasson

Emotion-cause pair extraction (ECPE), an emerging task in sentiment analysis, aims at extracting pairs of emotions and their corresponding causes in documents. This is a more challenging problem than emotion cause extraction (ECE), since it…

Computation and Language · Computer Science 2021-04-16 Qixuan Sun , Yaqi Yin , Hong Yu

The Schwinger pairs production rate is calculated numerically in the soft-wall model with the help of a simpler method in determining the soft-wall's position beyond which probe strings connecting the Schwinger pairs do not fall into.…

High Energy Physics - Theory · Physics 2016-12-13 Feng Qu , Ding-fang Zeng

We present simulation results for the contact process on regular, cubic networks that are composed of a one-dimensional lattice and a set of long edges with unbounded length. Networks with different sets of long edges are considered, that…

Statistical Mechanics · Physics 2015-05-13 R. Juhász , G. Ódor