Abstract:Recurrent neural networks (RNN) are efficient in modeling sequences for generation and classification, but their training is obstructed by the vanishing and exploding gradient issues. In this paper, we reformulate the RNN unit to learn the residual functions with reference to the hidden state instead of conventional gated mechanisms such as long short-term memory (LSTM) and the gated recurrent unit (GRU). The residual structure has two main highlights: firstly, it solves the gradient vanishing and exploding is… Show more
“…In the case when this process takes place, due to the fact that many derivatives having low-values are multiplied when computing the chain rule, the gradient vanishes to 0. In the case of the LSTM ANNs, the derivative of the identical function from Equation 2is the constant function 1 and this fact represents a certain advantage in the case when the LSTM is trained based on the backpropagation, because in this case the gradient is not vanishing [47].…”
Section: The Long Short-term Memory (Lstm) Neural Networkmentioning
An accurate forecast of the electricity consumption is particularly important to both consumers and system operators. The purpose of this study is to develop a forecasting method that provides such an accurate forecast of the month-ahead hourly electricity consumption in the case of medium industrial consumers, therefore assuring an intelligent energy management and an efficient economic scheduling of their resources, having the possibility to negotiate in advance appropriate billing tariffs relying on accurate hourly forecasts, in the same time facilitating an optimal energy management for the dispatch operator. The forecasting method consists of developing first non-linear autoregressive, with exogenous inputs (NARX) artificial neural networks (ANNs) in order to forecast an initial daily electricity consumption, a forecast that is being further processed with custom developed long short-term memory (LSTM) neural networks with exogenous variables support in order to refine the daily forecast as to achieve an accurate hourly forecasted consumed electricity for the whole month-ahead. The obtained experimental results (highlighted also through a very good value of 0.0244 for the root mean square error performance metric, obtained when forecasting the month-ahead hourly electricity consumption and comparing it with the real consumption), the validation of the developed forecasting method, the comparison of the method with other forecasting approaches from the scientific literature substantiate the fact that the proposed approach manages to fill a gap in the current body of knowledge consisting of the need of a high-accuracy forecasting method for the month-ahead hourly electricity consumption in the case of medium industrial consumers. The developed forecasting method targets medium industrial consumers, but, due to its accuracy, it can also be a useful tool for promoting innovative business models with regard to industrial consumers willing to produce a part of their own electricity using renewable energy resources, benefiting from reduced production costs and reliable electricity prices.
“…In the case when this process takes place, due to the fact that many derivatives having low-values are multiplied when computing the chain rule, the gradient vanishes to 0. In the case of the LSTM ANNs, the derivative of the identical function from Equation 2is the constant function 1 and this fact represents a certain advantage in the case when the LSTM is trained based on the backpropagation, because in this case the gradient is not vanishing [47].…”
Section: The Long Short-term Memory (Lstm) Neural Networkmentioning
An accurate forecast of the electricity consumption is particularly important to both consumers and system operators. The purpose of this study is to develop a forecasting method that provides such an accurate forecast of the month-ahead hourly electricity consumption in the case of medium industrial consumers, therefore assuring an intelligent energy management and an efficient economic scheduling of their resources, having the possibility to negotiate in advance appropriate billing tariffs relying on accurate hourly forecasts, in the same time facilitating an optimal energy management for the dispatch operator. The forecasting method consists of developing first non-linear autoregressive, with exogenous inputs (NARX) artificial neural networks (ANNs) in order to forecast an initial daily electricity consumption, a forecast that is being further processed with custom developed long short-term memory (LSTM) neural networks with exogenous variables support in order to refine the daily forecast as to achieve an accurate hourly forecasted consumed electricity for the whole month-ahead. The obtained experimental results (highlighted also through a very good value of 0.0244 for the root mean square error performance metric, obtained when forecasting the month-ahead hourly electricity consumption and comparing it with the real consumption), the validation of the developed forecasting method, the comparison of the method with other forecasting approaches from the scientific literature substantiate the fact that the proposed approach manages to fill a gap in the current body of knowledge consisting of the need of a high-accuracy forecasting method for the month-ahead hourly electricity consumption in the case of medium industrial consumers. The developed forecasting method targets medium industrial consumers, but, due to its accuracy, it can also be a useful tool for promoting innovative business models with regard to industrial consumers willing to produce a part of their own electricity using renewable energy resources, benefiting from reduced production costs and reliable electricity prices.
“…Numerical data modeling is a broad research area which involves a wide variety of novel artificial-intelligence and statistical tools. A few examples of recent contributions in this field are Petri nets to model honeypot [13], extreme learning machines in monthly precipitation time series forecasting [14], and recurrent neural networks to language modeling, emotion classification and polyphonic modeling [15]. Specifically to the problem treated in this paper, traditional artificial neural-network techniques to build up empirical models of GFR were proposed and tested in the scientific literature, although their performance appeared unsatisfactory or questionable [16,17].…”
Section: Introductionmentioning
confidence: 99%
“…To conclude this section of the paper, let us consider a minimal working numerical example. Let D X = [2, 3, 5, 5, 6, 6, 7, 9] and D Y =[6,7,10,10,11,11,11,12,15,20], i.e., n = 8, m = 10. The actual underlying model is f (x) = 2x + 2.…”
Statistical bivariate numerical modeling is a method to infer an empirical relationship between unpaired sets of data based on statistical distributions matching. In the present paper, a novel efficient numerical algorithm is proposed to perform bivariate numerical modeling. The algorithm is then applied to correlate glomerular filtration rate to serum creatinine concentration. Glomerular filtration rate is adopted in clinical nephrology as an indicator of kidney function and is relevant for assessing progression of renal disease. As direct measurement of glomerular filtration rate is highly impractical, there is considerable interest in developing numerical algorithms to estimate glomerular filtration rate from parameters which are easier to obtain, such as demographic and `bedside’ assays data.
“…In this section, we evaluate the proposed prediction model, denoted as URL-LSTM, with other baseline algorithms, including Random Forest Regression (RF) [17], Support Vector Regression SVR [18], Long Short Term Memory (LSTM) [19] and Residual Recurrent Networks (RRN) [20]. We do not compare our proposed method with other power consumption prediction approaches in which intrusive features are needed.…”
Modern cloud computing relies heavily on data centers, which usually host tens of thousands of servers. Predicting the power consumption accurately in data center operations is crucial for energy optimization. In this paper, we formulate the power consumption prediction at both the fine-grained and coarse-grained level. We carefully discuss the desired properties of an applicable prediction model and propose a non-intrusive, traffic-aware prediction framework for power consumption. We design a character-level encoding strategy for URIs and employ both convolutional and recurrent neural networks to develop a unified prediction model. We use real datasets to simulate requests and analyze the characteristics of the collected power consumption series. Extensive experiments demonstrate that our proposed framework can achieve superior prediction performance compared to other popular leading prediction methods.
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