Exact tail asymptotics for a two-stage queue: Complete solution via kernel method

2017 ◽  
Vol 51 (4) ◽  
pp. 1211-1250
Author(s):  
Hongshuai Dai ◽  
Lingtao Kong ◽  
Yang Song
Keyword(s):  
Kernel Method ◽  
Complete Solution ◽  
Tail Asymptotics ◽  
Two Stage ◽  
Exact Tail Asymptotics

scholarly journals Exact tail asymptotics for a three-dimensional Brownian-driven tandem queue with intermediate inputs

2021 ◽  
Author(s):  
Hongshuai Dai ◽  
Donald A. Dawson ◽  
Yiqiang Q. Zhao
Keyword(s):  
Stationary Distribution ◽  
Kernel Method ◽  
Three Dimensional ◽  
Value Theory ◽  
Tail Asymptotics ◽  
Tandem Queue ◽  
Intermediate Inputs ◽  
Exact Tail Asymptotics ◽  
Reflection Matrix ◽  
Joint Stationary Distribution

In this paper, we consider a three-dimensional Brownian-driven tandem queue with intermediate inputs, which corresponds to a three-dimensional semimartingale reflecting Brownian motion whose reflection matrix is triangular. For this three-node tandem queue, no closed form formula is known, not only for its stationary distribution but also for the corresponding transform. We are interested in exact tail asymptotics for stationary distributions. By generalizing the kernel method, and using extreme value theory and copula, we obtain exact tail asymptotics for the marginal stationary distribution of the buffer content in the third buffer and for the joint stationary distribution.

scholarly journals Knowing What, How and Why: A Near Complete Solution for Aspect-Based Sentiment Analysis

2020 ◽  
Vol 34 (05) ◽  
pp. 8600-8607
Author(s):  
Haiyun Peng ◽  
Lu Xu ◽  
Lidong Bing ◽  
Fei Huang ◽  
Wei Lu ◽  
...  
Keyword(s):  
Sentiment Analysis ◽  
State Of The Art ◽  
Complete Solution ◽  
Unified Model ◽  
Two Stage ◽  
Fine Grained ◽  
Aspect Extraction ◽  
Second Stage ◽  
Opinion Extraction ◽  
Complete Story

Target-based sentiment analysis or aspect-based sentiment analysis (ABSA) refers to addressing various sentiment analysis tasks at a fine-grained level, which includes but is not limited to aspect extraction, aspect sentiment classification, and opinion extraction. There exist many solvers of the above individual subtasks or a combination of two subtasks, and they can work together to tell a complete story, i.e. the discussed aspect, the sentiment on it, and the cause of the sentiment. However, no previous ABSA research tried to provide a complete solution in one shot. In this paper, we introduce a new subtask under ABSA, named aspect sentiment triplet extraction (ASTE). Particularly, a solver of this task needs to extract triplets (What, How, Why) from the inputs, which show WHAT the targeted aspects are, HOW their sentiment polarities are and WHY they have such polarities (i.e. opinion reasons). For instance, one triplet from “Waiters are very friendly and the pasta is simply average” could be (‘Waiters’, positive, ‘friendly’). We propose a two-stage framework to address this task. The first stage predicts what, how and why in a unified model, and then the second stage pairs up the predicted what (how) and why from the first stage to output triplets. In the experiments, our framework has set a benchmark performance in this novel triplet extraction task. Meanwhile, it outperforms a few strong baselines adapted from state-of-the-art related methods.

scholarly journals The Saddle Point Method for the Integral of the Absolute Value of the Brownian Motion

2003 ◽  
Vol DMTCS Proceedings vol. AC,... (Proceedings) ◽  
Author(s):  
Leonid Tolmatz
Keyword(s):  
Distribution Function ◽  
Brownian Motion ◽  
Saddle Point ◽  
Point Method ◽  
Saddle Point Method ◽  
Tail Asymptotics ◽  
Absolute Value ◽  
Exact Tail Asymptotics ◽  
International Audience ◽  
The Absolute

International audience The distribution function of the integral of the absolute value of the Brownian motion was expressed by L.Takács in the form of various series. In the present paper we determine the exact tail asymptotics of this distribution function. The proposed method is applicable to a variety of other Wiener functionals as well.

scholarly journals Exact tail asymptotics for fluid models driven by an M/M/c queue

2019 ◽  
Vol 91 (3-4) ◽  
pp. 319-346 ◽  
Author(s):  
Wendi Li ◽  
Yuanyuan Liu ◽  
Yiqiang Q. Zhao
Keyword(s):  
Fluid Models ◽  
Tail Asymptotics ◽  
Exact Tail Asymptotics

Exact tail asymptotics of the supremum attained by a Lévy process

2015 ◽  
Vol 96 ◽  
pp. 180-184 ◽  
Author(s):  
N.M. Asghari ◽  
K. Dȩbicki ◽  
M. Mandjes
Keyword(s):  
Lévy Process ◽  
Levy Process ◽  
Tail Asymptotics ◽  
Exact Tail Asymptotics
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