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The problem of predicting the growth of a system of cracks, each crack influencing the growth of the others, arises in multiple fields. We develop an analytical framework toward this aim, which we apply to the `En-Passant' family of crack…

软凝聚态物质 · 物理学 2015-08-18 Ramin Ghelichi , Ken Kamrin

Spreading from a seed is studied by Monte Carlo simulation on a square lattice with two types of sites affecting the rates of birth and death. These systems exhibit a critical transition between survival and extinction. For time- dependent…

无序系统与神经网络 · 物理学 2009-11-07 Gyorgy Szabo , Hajnalka Gergely , Beata Oborny

Cluster randomized trials (CRTs) offer a practical alternative for addressing logistical challenges and ensuring feasibility in community health, education, and prevention studies, even though randomized controlled trials are considered the…

统计方法学 · 统计学 2025-10-30 Jooyeon Lee , M. S. , Evan Kwiatkowski , Ph. D

We formalize a problem we call combinatorial pair testing (CPT), which has applications to the identification of uncooperative or unproductive participants in pair programming, massively distributed computing, and crowdsourcing…

数据结构与算法 · 计算机科学 2013-05-02 David Eppstein , Michael T. Goodrich , Daniel S. Hirschberg

Recent studies of Schwinger pair production have demonstrated that the asymptotic particle spectrum is extremely sensitive to the applied field profile. We extend the idea of the dynamically assisted Schwinger effect from single pulse…

高能物理 - 唯象学 · 物理学 2014-11-14 Florian Hebenstreit , François Fillion-Gourdeau

We consider a contact process on $Z^d$ with two species that interact in a symbiotic manner. Each site can either be vacant or occupied by individuals of species $A$ and/or $B$. Multiple occupancy by the same species at a single site is…

概率论 · 数学 2019-12-11 Rick Durrett , Dong Yao

In this paper, we investigate analytically the properties of the disordered Bernoulli model of planar matching. This model is characterized by a topological phase transition, yielding complete planar matching solutions only above a critical…

统计力学 · 物理学 2015-06-22 Andrey Y. Lokhov , Olga V. Valba , Sergei K. Nechaev , Mikhail V. Tamm

In this manuscript, we are interested in the long-term behaviour of branching processes with pairwise interactions (BPI-processes). A process in this class behaves as a pure branching process with the difference that competition and…

概率论 · 数学 2024-06-18 Gabriel Berzunza Ojeda , Juan Carlos Pardo

Numerous numerical studies have shown that geminal-based methods are a promising direction to model strongly correlated systems with low computational costs. Several strategies have been introduced to capture the missing dynamical…

化学物理 · 物理学 2023-03-22 Artur Nowak , Katharina Boguslawski

Synthetic contact networks are useful for modeling epidemic spread and social transmission, but data to infer realistic contact patterns that take account of assortative connections at the geographic and economic levels is limited. We…

社会与信息网络 · 计算机科学 2024-06-24 Alexander Y. Tulchinsky , Fardad Haghpanah , Alisa Hamilton , Nodar Kipshidze , Eili Y. Klein

Minimal sentence pairs are frequently used to analyze the behavior of language models. It is often assumed that model behavior on contrastive pairs is predictive of model behavior at large. We argue that two conditions are necessary for…

计算与语言 · 计算机科学 2021-09-16 Jannis Vamvas , Rico Sennrich

Emotion-cause pair extraction (ECPE), as an emergent natural language processing task, aims at jointly investigating emotions and their underlying causes in documents. It extends the previous emotion cause extraction (ECE) task, yet without…

计算与语言 · 计算机科学 2022-12-15 Haolin Song , Chen Zhang , Qiuchi Li , Dawei Song

We consider dijet production at a $e^+ e^-$ collider in a class of effective theories with the relevant operators being four-fermion contact interaction. Despite the nonrenormalizable nature of the interaction, we explicitly demonstrate…

高能物理 - 唯象学 · 物理学 2007-05-23 Swapan Majhi

We study the limiting behavior of an interacting particle system evolving on the lattice $Z^{d}$ for $d\ge 3$. The model is known as the contact process with rapid stirring. The process starts with a single particle at the origin. Each…

概率论 · 数学 2019-01-31 Segev Shlomov , Leonid Mytnik

The application of rough set theory in incomplete information systems is a key problem in practice since missing values almost always occur in knowledge acquisition due to the error of data measuring, the limitation of data collection, or…

人工智能 · 计算机科学 2019-06-14 Min Shu , Wei Zhu

Achieving empathy is a crucial step toward humanized dialogue systems. Current approaches for empathetic dialogue generation mainly perceive an emotional label to generate an empathetic response conditioned on it, which simply treat…

计算与语言 · 计算机科学 2023-11-28 Fengyi Fu , Lei Zhang , Quan Wang , Zhendong Mao

Selection of descent direction at a point plays an important role in numerical optimization for minimizing a real valued function. In this article, a descent sequence is generated for the functions with bounded parameters to obtain a…

最优化与控制 · 数学 2019-07-24 Priyanka Roy , Geetanjali Panda

We employ the recently developed worldline numerics, which combines string-inspired field theory methods with Monte-Carlo techniques, to develop an algorithm for the computation of pair-production rates in scalar QED for inhomogeneous…

高能物理 - 唯象学 · 物理学 2009-11-11 Holger Gies , Klaus Klingmuller

In this paper, we introduce a type switching mechanism for the Contact Process on the lattice $\mathbb{Z}^d$. That is, we allow the individual particles/sites to switch between two (or more) types independently of one another, and the…

概率论 · 数学 2024-07-02 Jochen Blath , Felix Hermann , Michel Reitmeier

As human-robot interaction (HRI) systems advance, so does the difficulty of evaluating and understanding the strengths and limitations of these systems in different environments and with different users. To this end, previous methods have…