A discrimination model for the dynamic monopoly firm

1975 ◽  
Vol 35 (1-2) ◽  
pp. 77-88
Author(s):  
Russell G. Thompson ◽  
E. Odgers Olsen
1992 ◽  
Vol 65 (4) ◽  
pp. 593 ◽  
Author(s):  
Yu-Min Chen ◽  
Dipak C. Jain

2021 ◽  
Vol 76 (3) ◽  
Author(s):  
Yilun Shang

AbstractIn this note, we study discrete time majority dynamics over an inhomogeneous random graph G obtained by including each edge e in the complete graph $$K_n$$ K n independently with probability $$p_n(e)$$ p n ( e ) . Each vertex is independently assigned an initial state $$+1$$ + 1 (with probability $$p_+$$ p + ) or $$-1$$ - 1 (with probability $$1-p_+$$ 1 - p + ), updated at each time step following the majority of its neighbors’ states. Under some regularity and density conditions of the edge probability sequence, if $$p_+$$ p + is smaller than a threshold, then G will display a unanimous state $$-1$$ - 1 asymptotically almost surely, meaning that the probability of reaching consensus tends to one as $$n\rightarrow \infty $$ n → ∞ . The consensus reaching process has a clear difference in terms of the initial state assignment probability: In a dense random graph $$p_+$$ p + can be near a half, while in a sparse random graph $$p_+$$ p + has to be vanishing. The size of a dynamic monopoly in G is also discussed.


2010 ◽  
Author(s):  
Jeffrey P. Johnson ◽  
Elizabeth A. Krupinski ◽  
Michelle Yan ◽  
Hans Roehrig

2021 ◽  
Author(s):  
Jianliang Sun ◽  
Mingze Yan ◽  
Mingyuan Li ◽  
Tongtong Hao

Abstract The flatness target curve is important in the flatness control theory. The accuracy of flatness target curve is an important factor to determine the load of flatness control means and flatness quality. Aiming at the defect that crown of each pass after rolling cannot be controlled quantitatively in the traditional target curve formulation of cold rolling, a new method considering the target crown was proposed. Specifically, the target crown of each pass can be set by combining the total proportional crown change in hot rolling field to each pass and the instability discrimination model in cold rolling field. the total proportional crown change of incoming material and finished product is allocated to each pass, and the instability discrimination model is applied to ensure the stability of the plate. The purpose of new method is to control of the crown of each pass quantitatively, so that the flatness and thickness of plate can meet the production requirements. Taking SUNDWIG 20-high mill and typical rolling products as an example, the simulation results show that, on the basis of ensuring the flatness and obtaining the minimum available crown after rolling, the model can make the flatness and crown meet the production requirements at the same time and control the crown of each pass after rolling quantitatively by setting the target crown of each pass.


2020 ◽  
Author(s):  
Feng Wu ◽  
Yiding Zhang ◽  
Wen Cui ◽  
Yijun Dong ◽  
Yingyang Geng ◽  
...  

Abstract BackgroundMembranous nephropathy (MN) and minimal change disease (MCD) are two common causes leading to nephrotic syndrome (NS). They have similar clinical feature but different treatment strategy and prognosis. M-type phospholipase A2 receptor (PLA2R) is considered as a specific marker of membranous nephropathy. However, its sensitivity is only about 70%. Therefore, there is a lack of effective and noninvasive tools to distinguish PLA2R-negative MN and MCD patients without renal biopsy. We aim to develop a discrimination model using noninvasive parameters for distinguishing the two diseases and support immediate treatment before result of renal biopsy.MethodsA total 949 patients who were pathologically diagnosed as idiopathic MN or primary MCD in the First Affiliated Hospital of Zhengzhou University from January 2017 to August 2019 were enrolled in this study, including 805 idiopathic MN (605 PLAR2-positive MN and 200 PLA2R-negative MN) and 144 primary MCD. Based on the basic information and laboratory examination of 200 PLA2R-negative MN and 144 MCD, we used univariate and multivariate logistic regression analysis to select the relevant variables and develop the discrimination model. ROC curves and calibration curves were used to evaluate the diagnostic ability and calibration ability of the model. The decision curve was used to show the net benefit. We also tested the effectiveness of our model in all 949 patients.ResultsA novel model that included age, albumin, urea, high density lipoprotein, urea and red blood cell count was established for PLA2R-negative MN and MCD. The discrimination model has good differential capability (an AUC of 0.889 in training group and an AUC of 0.920 in test group) and calibration capability. When testing in all 949 patients, our model also showed good discrimination ability for all idiopathic MN and MCD.ConclusionWe constructed a discrimination model with high diagnostic effectiveness for PLA2R-negative MN and MCD. The model could also be used for all idiopathic MN and MCD patients.


2014 ◽  
Vol 124 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Kaito Hashimoto ◽  
Nobuo Matsubayashi

2021 ◽  
Vol 36 (Supplement_1) ◽  
Author(s):  
E Shalom-Paz ◽  
A Bilgory ◽  
N Aslih ◽  
Y Atzmon ◽  
Y Shibli ◽  
...  

Abstract Study question Can we develop a real-time diagnostic tool for chronic endometritis (CE) by using attenuated total reflection-Fourier transform infrared (ATR-FTIR) spectroscopy to evaluate biopsies obtained during hysteroscopy? Summary answer A discrimination model based on the absorbance data was developed by machine learning techniques, differentiating between positive and negative CE histopathology with 97% accuracy. What is known already CE is diagnosed in approximately 15% of infertile women who undergo in vitro fertilization (IVF), in 42% of women with recurrent implantation failure (RIF), and in 57.8% of women with RPL. Diagnosis is done by endometrial biopsy, and the presence of plasma cells in the endometrial stroma is the generally accepted histological diagnostic criterion. However, the histological detection of CE is time-consuming and difficult. ATR-FTIR spectroscopy is a non-destructive method that can provide valuable information on biochemical changes that occur during pathological processes, such as inflammation and cancer. Study design, size, duration We performed a prospective study in which fresh biopsies of endometrium were obtained during standard hysteroscopies. Each biopsy was examined by the spectrophotometer and afterward by histopathological analysis in which multiple myeloma oncogene 1 (MUM–1) staining for plasma cells, a marker of CE, was performed. We planned to investigate 80 samples to develop a discrimination model, and another 40 samples for validation of the model. The study was planned to last two years. Participants/materials, setting, methods Women that underwent hysteroscopy as a part of infertility evaluation were recruited. The hysteroscopies and the biopsy evaluation were performed at the same center. A cut-off of 8 MUM–1 positive cells per 10 high power fields (HPF) was set. We compared the spectroscopy analysis of the positive CE group (≥8) and the negative CE group (<8). Machine learning technique was utilized to build discrimination models. Data analysis was performed using Matlab and Unscrambler software packages. Main results and the role of chance We present preliminary results for our study. Forty-two women were recruited from January 2020 until November 2020. Of the 42 measured spectra, three were discarded due to high measurement noise. Of the 39 biopsies, 33 had MUM–1<8 (CE negative group) and 6 had MUM–1≥8 (CE positive group). Measured spectra of tissue smears from CE negative and positive groups differed from each other in the spectral range of 850–990 [cm–1] (p < 0.05). This wavenumber can be associated with the C-H in-plane bend in the alkene group (CnH2n). A discriminant model was developed between the groups using the Principal Component Analysis and Linear Discriminant Analysis techniques. The accuracy obtained by the model was 97%. We divided the 39 hysteroscopies based on the CE signs into 2 groups: “Negative hysteroscopic-CE” and “Positive hysteroscopic-CE”. Positive hysteroscopic signs were micropolyps, strawberry pattern, hyperemia, punctuation, or pale endometrium. Twenty-three samples were taken in the Negative group and 16 samples were taken in the Positive group. However, measured spectra of tissue smears from negative and positive hysteroscopy groups were not significantly different. The correlation coefficient between hysteroscopy groups and MUM–1 score was r = 0.29, meaning that the characteristic signs of CE in hysteroscopy were not correlated to the histopathology. Limitations, reasons for caution First, these are preliminary results and we need to investigate more samples to validate our model. Second, diagnostic criteria for CE are diverse in the literature and we chose 8 MUM–1 positive cells in 10 HPF, a criterion which may not be accepted by all experts in the field. Wider implications of the findings: ATR-FTIR spectroscopy is highly sensitive to molecular changes and has been utilized as a diagnostic tool in a variety of clinical studies. While histopathological results take about two weeks, ATR-FTIR spectroscopy might give us the possibility to diagnose CE in real-time, allowing an immediate initiation of the appropriate treatment. Trial registration number ClinicalTrials.gov Identifier: NCT04197167


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