Average Probability Research Articles

Temperature history reconstruction in steel box girders using limited data and proper orthogonal decomposition-based dimension reduction representation

The monitoring temperature history of steel box girders inevitably contains gaps or anomalies due to the malfunctions of the structural health monitoring system. Traditional methods for reconstructing temperature histories face the challenge in accounting for the randomness of temperature variations caused by the uncertainty of complex environmental factors. This research proposes a framework for reconstructing the long-term temperature of steel box girders by combining the limited measurements with a proper orthogonal decomposition (POD) based dimension reduction representation approach, to account for the stochastic nature of daily temperature variations. Unlike the conventional Monte Carlo-based POD method, the developed POD-based dimension reduction representation approach effectively reduces the number of elementary random variables from thousands to two by introducing random functions serving as constraints, overcoming the challenge of high-dimensional random variables inherent in the Monte Carlo methods. The proposed approach divides the measured temperature histories into random high-frequency (HF) and deterministic low-frequency (LF) components and establishes the theoretical models of power spectral density and coherence functions of HF temperature components to accommodate the generation of HF temperature component samples, and finally reconstructs temperature samples by superimposing the LF components and generated HF component samples. The results from a practical example demonstrate that the statistical characteristics of representative HF temperature component samples generated by the POD-based dimension reduction representation align well with the corresponding targeted values, and the proposed method outperforms the traditional POD method, yielding a 60% efficiency enhancement without compromising computational accuracy. The developed framework owns apparent superiority in accuracy compared to the traditional POD and the long short-term memory methods, particularly in continuous and extensive missing data. Moreover, the reconstructed temperature samples with assigned probabilities present complete probability information from the level of total probability. These results advance the probabilistic methods in tackling long-term temperature history reconstruction.

Closed-form energy-based signal detection analysis in presence of a Lomax fading channel in full hyper-Rayleigh regime

The presented research examines the energy-based spectrum sensing problem of a signal transmitted over a wireless communication channel with severe fading. To account for the most challenging propagation conditions, a recently developed Lomax wireless channel model was utilized, which exhibits hyper-Rayleigh characteristics over the entire range of possible parameter values. For the channel model under consideration, the existence of the specific hyper-Rayleigh regimes (i.e., weak, strong, and full) are identified asymptotically and studied numerically for a finite signal-to-noise ratio. For the most severe fading conditions, the system’s performance was assessed in terms of the average probability of detection, receiver operating characteristics, and area under the curve. These metrics were derived in closed-form for the cases of Maximum Ratio Combining at the receiver and without diversity reception. The obtained expressions were analyzed via numerical and statistical simulation as functions of system and channel parameters, including the sensing base, average signal-to-noise ratio, and scale parameter for the signal-to-noise probability distribution. The results from numerical simulations were compared with existing regulations specified in the 5G standard for energy-based detection in medium access procedures.

On the integral and derivative identities of bivariate Fox H-function and applications in performance analysis of wireless communications under generalized Gaussian noise

In conjunction with an algebraic, exponential, complementary error function, and a generalized Q-function, this paper provides analytical solutions for the integral of the bivariate Fox H-function (BFHF). The paper also includes derivative identities related to function arguments. The proposed formulations are then applied for analyzing the performance of point-to-point wireless communication subjected to fading, the characterization of which involves the bivariate Fox H-function, and additive white generalized Gaussian noise. Novel expressions are presented for evaluating the average symbol error probability performance considering different noise distributions, such as Gamma, Gaussian, and Laplacian. An asymptotic analysis is also conducted to determine the system’s potential diversity order. Finally, the accuracy of the analytical findings is confirmed via comparisons of numerical results with Monte-Carlo simulations.

The impact of medical insurance and old-age security on the utilization of medical services by the older population with disabilities

ObjectiveIn this study, the impact of medical insurance and old-age security on the use of medical services by the older population with disabilities is analyzed. A reference for decision makers is provided to improve medical and old-age security policies and enhance the use of medical services by the older population.MethodsData were drawn from 3,737 older people with disabilities aged 65 years or above from the 2018 China Longitudinal Healthy Longevity Survey. A two-part model based on social ecological theory was used for both analysis and group prediction.ResultsIn terms of the use of outpatient medical services, old-age pension significantly increased the probability of outpatient visits for this population group (P < 0.05). Urban employee/resident medical insurance, the new rural cooperative medical insurance, and retirement pension significantly affected medical expenses. In terms of the use of inpatient medical services, the new rural cooperative medical insurance and retirement pension significantly influenced the choice of inpatient medical services; retirement pension increased inpatient medical expenditure (p < 0.01). The expected average probability of hospitalization, unconditional expected cost, and conditional expected cost for the older population with disabilities were 49.5%, RMB 6629.31, and RMB 3281.51, respectively. Both conditional and unconditional expected costs were significantly higher for older people with disabilities with the following attributes: male, married, no less than three chronic conditions, and unassisted daily care; costs were lower for older people with disabilities who are female, not married, had less than three chronic conditions, and had a spouse, child, or other caregiver.ConclusionMedical insurance and old-age security can significantly promote the utilization of medical services by the older population with disabilities. It is therefore recommended to focus on strengthening the support and health management of these people who are unattended to improve the effective use of health services and better meet their needs.

Recurrence relations for the joint distribution of the sum and maximum of independent random variables

Abstract In this paper, the joint distribution of the sum and maximum of independent, not necessarily identically distributed, nonnegative random variables is studied for two cases: (i) continuous and (ii) discrete random variables. First, a recursive formula of the joint cumulative distribution function (CDF) is derived in both cases. Then recurrence relations of the joint probability density function (PDF) and the joint probability mass function (PMF) are given in the former and the latter case, respectively. Interestingly, there is a fundamental difference between the joint PDF and PMF. The proofs are simple and mainly based on the following tools from calculus and discrete mathematics: differentiation under the integral sign (also known as Leibniz’s integral rule), the law of total probability, and mathematical induction. In addition, this work generalizes previous results in the literature, and finally presents several extensions of the methodology.

Vacancy transfer probability parameters: Database and a new empirical value for elements in the atomic number range 16 ≤ Z ≤ 92

In the present work, we offer a collection of documented values for vacancy transfer probabilities (ηXY, X=K,Li;Y=L,M,N,Li,Mj,Np,Op;i=1,2,3;j=1,2,3,4,5;p=1,4,5) sourced from published technical literature spanning 1993 to 2023 for elements in the atomic range 16≤Z≤92. We found 1200 experimental vacancy transfer probability values from 68 scientific papers, during the specified period. These have been compiled and summarized in tables, encompassing various parameters and elements. This data is also comprehensively analysed, including tables that display weighted average vacancy transfer probability (ηXY)W values along with the combined standard deviation and the average z-score. We also recommend a new collection of empirical values for the atomic parameters ηKL(T),ηKL2(R),ηKL3(R),andηKM(R) of vacancy transfer probabilities. This compilation offers an overview of the present state of atomic data for vacancy transfer probabilities. It is a valuable resource to guide future experimental and theoretical studies in this area.

NOMA‐based precoded quadrature spatial modulation in multiuser MIMO downlink transmission over correlated channel

SummaryIn this paper, a non‐orthogonal multiple access (NOMA)‐based precoded quadrature spatial modulation (PQSM) technique (NOMA‐PQSM) has been proposed for the downlink scenario. In NOMA‐PQSM, two intended receiving antennas are activated at any time instant. One antenna is activated for the in‐phase component of the transmitted signal, and another one is activated for the quadrature phase component, on the basis of data bits. NOMA‐PQSM provides benefits like improved spatial diversity and spectral efficiency in comparison with spatial modulation. This work uses zero forcing (ZF) precoding over downlink flat fading Rayleigh multiple input multiple output (MIMO) channels, to limit the channel's deteriorating effect on transmitted signal, assuming perfect channel state information (CSI) at the transmitter. A low complexity receiver based on the successive interference cancellation is used. An expression for the upper bound of average bit error probability is derived. Moreover, the expressions for the sum mutual information of users and its lower bound are also derived. The proposed scheme is compared with the preprocessing aided spatial modulation (PSM)‐based counterpart. Monte Carlo simulations reveal that the NOMA‐PQSM scheme outperforms its orthogonal counterpart and the PSM scheme.

Impact of State Telehealth Parity Laws for Private Payers on Hypertension Medication Adherence Before and During the COVID-19 Pandemic.

Telehealth has emerged as an effective tool for managing common chronic conditions such as hypertension, especially during the COVID-19 pandemic. However, the impact of state telehealth payment and coverage parity laws on hypertension medication adherence remains uncertain. Data from the 2016 to 2021 Merative MarketScan Commercial Claims and Encounters Database were used to construct the study cohort, which included nonpregnant individuals aged 25 to 64 years with hypertension. We coded telehealth parity laws related to hypertension management in all 50 US states and the District of Columbia, distinguishing between payment and coverage parity laws. The primary outcomes were measures of antihypertension medication adherence: the average medication possession ratio; medication adherence (medication possession ratio ≥80%); and average number of days of drug supply. We used a generalized difference-in-differences design to examine the impact of these laws. Among 353 220 individuals (mean [SD] age, 49.5 (7.1) years; female, 45.55%), states with payment parity laws were significantly linked to increased average medication possession ratio by 0.43 percentage point (95% CI, 0.07-0.79), and an increase of 0.46 percentage point (95% CI, 0.06-0.92) in the probability of medication adherence. Payment parity laws also led to an average increase of 2.14 days (95% CI, 0.11-4.17) in prescription supply, after controlling for state-fixed effects, year-fixed effects, individual sociodemographic characteristics and state time-varying covariates including unemployment rates, gross domestic product per capita, and poverty rates. In contrast, coverage parity laws were associated with a 2.13-day increase (95% CI, 0.19-4.07) in days of prescription supply but did not significantly increase the average medication possession ratio or probability of medication adherence. State telehealth payment parity laws were significantly associated with greater medication adherence, whereas coverage parity laws were not. With the increasing adoption of telehealth parity laws across states, these findings may support policymakers in understanding potential implications on management of hypertension.

Transitioning sleeping position detection in late pregnancy using computer vision from controlled to real-world settings: an observational study

Sleeping on the back after 28 weeks of pregnancy has recently been associated with giving birth to a small-for-gestational-age infant and late stillbirth, but whether a causal relationship exists is currently unknown and difficult to study prospectively. This study was conducted to build a computer vision model that can automatically detect sleeping position in pregnancy under real-world conditions. Real-world overnight video recordings were collected from an ongoing, Canada-wide, prospective, four-night, home sleep apnea study and controlled-setting video recordings were used from a previous study. Images were extracted from the videos and body positions were annotated. Five-fold cross validation was used to train, validate, and test a model using state-of-the-art deep convolutional neural networks. The dataset contained 39 pregnant participants, 13 bed partners, 12,930 images, and 47,001 annotations. The model was trained to detect pillows, twelve sleeping positions, and a sitting position in both the pregnant person and their bed partner simultaneously. The model significantly outperformed a previous similar model for the three most commonly occurring natural sleeping positions in pregnant and non-pregnant adults, with an 82-to-89% average probability of correctly detecting them and a 15-to-19% chance of failing to detect them when any one of them is present.

A Bayesian approach with double group sampling plan to estimate quality regions for proportion of nonconforming products in industry based on beta prior

To succeed in the global market, firms must prioritize quality over individual goals and preferences. One of the two primary approaches for ensuring quality is acceptance sampling, which is employed in statistical process control to inspect attributes of the product for acceptance. In acceptance sampling, the lot is either accepted or not-accepted based on predetermined acceptance criteria for inspection. This paper presents a proposed Bayesian double group sampling plan (BDGSP) for estimating quality regions. The binomial distribution is used to construct the likelihood function for both nonconforming and conforming products based on acceptance criteria. To calculate the average probability of acceptance, the beta distribution is used as a suitable prior distribution of the binomial distribution. Four distinct quality regions are predicted for various indicated producer’s and consumer’s risk levels. Based on various combinations of values for design parameters, the suggested plan generates variation point values. Risks for producers and consumers are related to acceptable quality level and limiting quality level. To track the effects of changes in the values of the specified parameters, operating characteristic curves are utilized. The applicability of the proposed plan for current industrial strategies is demonstrated using a real dataset.

Physical, chemical and radiation shielding properties of metakaolin-based geopolymers containing borosilicate waste glass

Upcycling waste borosilicate glass (BS) is a viable and sustainable way of preserving the natural resources required for the production of new materials and ensuring environmental sanitation and safety. This study was aimed at investigating how the addition of BS influences the physical, chemical, and mechanical properties and shielding performance against neutrons and charged particles on metakaolin-based geopolymer G. Four batches of G infused with 10%, 20%, and 30% wt BS samples and coded as G, G-10BS, G-20BS, and G-30BS, respectively, were fabricated based on the solid-state reaction method. The samples were characterized accordingly using experimental and theoretical procedures. X-ray diffraction analysis of the materials showed that the addition of BS suppressed crystal peaks in the geopolymers. The Vickers hardness values were calculated as 554, 503, 517, and 528 HV under a 0.1 kg load. The values of fast neutron macroscopic cross-section increased from 0.0601 cm−1 to 0.0706 cm−1 as BS content increased from 0 to 30 wt%. The coherent, incoherent, absorption, and total interaction probabilities of thermal neutrons increased in the geopolymer samples. For electrons, the stopping powers were in the range of 1.575–13.17 cm2/g, 1.571–13.15 cm2/g, 1.571–13.16 cm2/g, and 1.571–13.18 cm2/g for G, G-10BS, G-20BS, and G-30BS, respectively. The projected ranges of carbon ions in G, G-10BS, G-20BS, and G-30BS are within the limits 0.069–17.87 μm, 0.064–16.99 μm, 0.064–16.99 μm, and 0.057–15.24 μm. The trend of the projected ranges of electrons, protons, α-particles, and C ions with kinetic energies within 15 keV and 15 MeV was mostly in the sequence G > G-10BS > G-20BS > G-30BS. This order was consistent with the density and BS content of the geopolymer samples. The addition of BS to the metakaolin-based geopolymer improved the fast neutron moderating capacity and thermal neutron cross-sections and reduced the range of charged particle radiation in the geopolymers. The neutron shielding ability of G-30BS was found to be better than that of some existing shielding materials. The BS-infused concrete can be useful for the production of concrete used for radiation control.

Demography and natural history of the damselfly Mesamphiagrion gaudiimontanum (Coenagrionidae), a Páramo endemic species in the Colombian Andes

The páramos are high mountain ecosystems in the tropical regions of the New World, and they are particularly threatened by climate change. The Belmira páramo complex in Colombia is home to Mesamphiagrion gaudiimontanum, an endemic and endangered damselfly species. This study presents the first demographic assessment of M. gaudii­montanum using the capture-recapture method to estimate population size, survival, and detection probabilities, focusing on differences in age, sex, female color morphs, and parasite infestation. The population size was estimated to be 730 ± 186.59 individuals, with an average survival probability of 0.89 ± 0.04 and a life expectancy of 8.34 days, these data are like the reported for other populations in the same genus in harsh environmental conditions. Ectoparasitic mites were more common on juveniles than adults. After several hours of observing the species few copula events have been recorded, all of them involving juvenile adult females, which points to a monandrous reproduction syndrome for the species. Another phenomenon observed in the species was a change in coloration due to body temperature in individuals, in which bright coloration becomes grayish in cold weather. This study provides fundamental data for future monitoring and conservation efforts, highlighting the species’ vulnerability to environmental changes and the need for specific conservation strategies.

Identifying topologically associating domains using differential kernels.

Chromatin is a polymer complex of DNA and proteins that regulates gene expression. The three-dimensional (3D) structure and organization of chromatin controls DNA transcription and replication. High-throughput chromatin conformation capture techniques generate Hi-C maps that can provide insight into the 3D structure of chromatin. Hi-C maps can be represented as a symmetric matrix [Formula: see text], where each element represents the average contact probability or number of contacts between chromatin loci i and j. Previous studies have detected topologically associating domains (TADs), or self-interacting regions in [Formula: see text] within which the contact probability is greater than that outside the region. Many algorithms have been developed to identify TADs within Hi-C maps. However, most TAD identification algorithms are unable to identify nested or overlapping TADs and for a given Hi-C map there is significant variation in the location and number of TADs identified by different methods. We develop a novel method to identify TADs, KerTAD, using a kernel-based technique from computer vision and image processing that is able to accurately identify nested and overlapping TADs. We benchmark this method against state-of-the-art TAD identification methods on both synthetic and experimental data sets. We find that the new method consistently has higher true positive rates (TPR) and lower false discovery rates (FDR) than all tested methods for both synthetic and manually annotated experimental Hi-C maps. The TPR for KerTAD is also largely insensitive to increasing noise and sparsity, in contrast to the other methods. We also find that KerTAD is consistent in the number and size of TADs identified across replicate experimental Hi-C maps for several organisms. Thus, KerTAD will improve automated TAD identification and enable researchers to better correlate changes in TADs to biological phenomena, such as enhancer-promoter interactions and disease states.

Do-not-attempt-resuscitation decision making: physicians’ recommendations differ from the GO-FAR score predictions

Background and aimIn-hospital cardiac arrest (IHCA) is a major cause of mortality globally, and over 50% of the survivors will require institutional care as a result of poor neurological outcome. It is important that physicians discuss the likely outcome of resuscitation with patients and families during end-of-life discussions to help them with decisions about cardiopulmonary resuscitation. We aim to compare three consultants’ do-not-resuscitate (DNR) decisions with the GO-FAR score predictions of the probability of survival with good neurological outcomes following in-hospital cardiac arrest (IHCA).MethodsThis is a retrospective study of all patients 18 years or older placed on a DNR order by a consensus of three consultants in a tertiary institution in the United Arab Emirates over 12 months. Patients’ socio-demographics and the GO-FAR variables were abstracted from the electronic medical records. We applied the GO-FAR score and the probability of survival with good neurological outcomes for each patient.ResultsA total of 788 patients received a DNR order, with a median age of 71 years and a majority being males and expatriates. The GO-FAR model categorized 441 (56%) of the patients as having a low or very low probability of survival and 347 (44%) as average or above. There were 219 patients with a primary diagnosis of cancer, of whom 148 (67.6%) were in the average and above-average probability groups. There were more In-hospital deaths among patients in the average and above-average probability of survival group compared with those with very low and low probability (243 (70%) versus 249 (56.5%) (P < 0.0001)). The DNR patients with an average or above average chance of survival by GO-FAR score were more likely to be expatriates, oncology patients, and did not have sepsis.ConclusionsThe GO-FAR score provides a guide for joint decision-making on the possible outcomes of CPR in the event of IHCA. The physicians’ recommendation and the ultimate patient’s resuscitation choice may differ due to more complex contextual medico-social factors.

Where nonresponse is at its loudest: Cross-country and individual differences in item nonresponse across the PISA 2018 student questionnaire

The Programme for International Student Assessment (PISA) student questionnaire, despite being designed for low cognitive demand, may induce test burden due to its 306-item length, resulting in increased item nonresponse toward the questionnaire’s end. Using the PISA 2018 response data from 80 countries and a cross-classified mixed effects model, this study explored the average, cross-country, and individual nonresponse trends throughout the questionnaire. The average nonresponse probability increased from 2% at the questionnaire’s start to 11% at its end. East Asian countries displayed the flattest nonresponse trends, while South American countries showed the steepest. Individual differences were also prominent: students with a lower initial nonresponse propensity experienced a steeper increase in their nonresponse propensity as they progressed through the questionnaire, whereas those with a higher initial propensity remained at a relatively constant level. Our findings highlight the importance of the questionnaire design, the context in which it is administered, and its interaction with individual and cultural factors in shaping student response behavior. We discuss the implications for questionnaire design and researchers using PISA student questionnaire data for secondary analysis.

Different Statistical Inference Algorithms for the New Pareto Distribution Based on Type-II Progressively Censored Competing Risk Data with Applications

In this research, the statistical inference of unknown lifetime parameters is proposed in the presence of independent competing risks using a progressive Type-II censored dataset. The lifetime distribution associated with a failure mode is assumed to follow the new Pareto distribution, with consideration given to two distinct competing failure reasons. Maximum likelihood estimators (MLEs) for the unknown model parameters, as well as reliability and hazard functions, are derived, noting that they are not expressible in closed form. The Newton–Raphson, expectation maximization (EM), and stochastic expectation maximization (SEM) methods are employed to generate maximum likelihood (ML) estimations. Approximate confidence intervals for the unknown parameters, reliability, and hazard rate functions are constructed using the normal approximation of the MLEs and the normal approximation of the log-transformed MLEs. Additionally, the missing information principle is utilized to derive the closed form of the Fisher information matrix, which, in turn, is used with the delta approach to calculate confidence intervals for reliability and hazards. Bayes estimators are derived under both symmetric and asymmetric loss functions, with informative and non-informative priors considered, including independent gamma distributions for informative priors. The Monte Carlo Markov Chain sampling approach is employed to obtain the highest posterior density credible intervals and Bayesian point estimates for unknown parameters and reliability characteristics. A Monte Carlo simulation is conducted to assess the effectiveness of the proposed techniques, with the performances of the Bayes and maximum likelihood estimations examined using average values and mean squared errors as benchmarks. Interval estimations are compared in terms of average lengths and coverage probabilities. Real datasets are considered and examined for each topic to provide illustrative examples.

A DNA profiling system for conservation management of Kamchatka brown bear (Ursus arctos piscator); population data and system performance from 16 autosomal STRs

Despite the high density of brown bears (Ursus arctos piscator) on the Kamchatka peninsula their genetic variation has not been studied by STR analysis. Our aim was, therefore, to provide population data from the Kamchatka brown bear population applying a validated DNA profiling system. Twelve dinucleotide STRs commonly used in Western-European (WE) populations and four additional ones (G10C, G10J, G10O, G10X), were included. Template input ≥ 0.2 ng was successfully amplified. Measurements of precision, stutter and heterozygous balance showed that markers could be reliably genotyped applying the thresholds used for genotyping WE brown bears. However, locus G10X revealed an ancient allele-specific polymorphism that led to suboptimal amplification of all 174 bp alleles (Kamchatka and WE). Allele frequency estimates and forensic genetic parameters were obtained from 115 individuals successfully identified by genotyping 434 hair samples. All markers met the Hardy-Weinberg and linkage equilibrium expectations, and the power of discrimination ranged from 0.667 to 0.962. The total average probability of identity from the 15 STRs was 1.4 ×10−14 (FST = 0.05) while the total average probability of sibling identity was 6.0 ×10−6. Relationship tests revealed several parent-cub and full sibling pairs demonstrating that the marker set would be valuable for the study of family structures. The population data is the first of its kind from the Kamchatka brown bear population. Population pairwise FST`s revealed moderate genetic differentiation that mirrored the geographic distances to WE populations. The DNA profiling system, providing individual-specific profiles from non-invasive samples, will be useful for future monitoring and conservation purposes

Prevalence and disease burden of chronic cough in nine cities of China: an observational study

BackgroundChronic cough (CC) is common in the general population of China, creating a difficult-to-ignore public health burden. However, there is a lack of research on the nationwide prevalence and disease burden of CC in the Chinese population. We aim to use an insurance claims database to assess the prevalence and the corresponding economic burden owing to CC in China.MethodsThis was a retrospective observational study based on an administrative medical insurance database in 2015, 2016 and 2017, from nine cities in North, South, East, South-West, and North-West regions of China. The study population was Chinese adults (≥ 18 years old) who had been identified as CC patients. Descriptive data analyses were used in statistical analysis.ResultsA total of 44,472, 55,565, and 56,439 patients with mean ages of 53.2 (16.3) years were identified as patients with CC in 2015, 2016, and 2017, respectively. Of these, 55.24% were women. In addition, 8.90%, 9.46%, and 8.37% of all patients in 2015, 2016, and 2017, who had applied for medical insurance, had CC, respectively, with a three-year average probability of 8.88%. The median number of outpatient visits within a calendar year was 27 per year due to any reason during the period of 2015–2017. The median medical cost of each patient per year increased from 935.30 USD to 1191.47 USD from 2015 to 2017.ConclusionCC is common among medical insurance users, with a substantial utilization of medical resources, highlighting the huge burden of CC in China.

Pengaruh Disiplin Kerja dan Pengembangan Karir Terhadap Kinerja Karyawan Pada PT Bank Tabungan Negara Kantor Cabang Jakarta Melawai

Company performance is very dependent on the employees themselves. Therefore, personnel requires a lot of attention from management, one of wich is the discipline of each employee, work performance, and career development potential. The research method used is descriptive quantitative. With a sample size of 70 people. Data collection techniques using observation, interviews, questionnaires and documentation. The results of the research show that there is a partially significant influence between work discipline on employee performance, this is proven based on the results of partial tests or examinations with a total probability value of 0.000 &lt; 0.05 and a calculated t value. &gt; t table namely r 5.287 &gt; 1.99601. There is a partially significant influence between career development and employee performance, this is proven based on the results of partial tests or examinations with a probability value of 0.000 &lt; 0.05 and a calculated value &gt; t table, namely 4.213 &gt; 1.99601. There is a significant and simultaneous influence between work discipline and career development on employee performance at PT Bank Tabungan Negara Jakarta Melawai Branch Office, this is proven based on the results of F tests or simultaneous tests with a total probability value of 0.000 &lt; 0.05 and a calculated F value. &gt; F table is 71.627 &gt; 3.13.

Self-gating stochastic-resonance-based autoencoder for unsupervised learning.

Incorporating additive noise components to an ensemble of McCulloch-Pitts neurons can enhance the information representation of the input, asymptotically approaching the average firing probability for large enough ensembles. We further multiply the input by the average firing probability to control the higher probability of self-gating, thereby forming a unified noise-boosted activation model with learnable noise-related hyperparameters. This gating strategy plays a crucial role in improving the performance of neural networks, as evidenced by the optimization of the autoencoder loss at nonzero optimal-noise-scaling hyperparameters, a phenomenon termed self-gating stochastic resonance. Experiments with designed autoencoders using noise-boosted activation functions demonstrate the potential applications of the self-gating stochastic resonance effect in the field of unsupervised learning.