We show how this decomposition can be applied to 2D and 3D kernels as well as the fully-connected layers. This process includes two parts: feed forward and back propagation. A very simple and typical neural network is shown below with 1 input layer, 2 hidden layers, and 1 output layer. Pretty R syntax in this blog is Created by inside-R .org, Copyright © 2020 | MH Corporate basic by MH Themes, Click here if you're looking to post or find an R/data-science job, Introducing our new book, Tidy Modeling with R, How to Explore Data: {DataExplorer} Package, R – Sorting a data frame by the contents of a column, Multi-Armed Bandit with Thompson Sampling, 100 Time Series Data Mining Questions – Part 4, Whose dream is this? Thus, the above code will not work correctly. The biggest advantage of DNN is to extract and learn features automatically by deep layers architecture, especially for these complex and high-dimensional data that feature engineers can’t capture easily, examples in Kaggle. The right weight initialization method can speed up time-to-convergence considerably. So when the backprop algorithm propagates the error gradient from the output layer to the first layers, the gradients get smaller and smaller until they’re almost negligible when they reach the first layers. You’re essentially trying to Goldilocks your way into the perfect neural network architecture — not too big, not too small, just right. In this kernel, I show you how to use the ReduceLROnPlateau callback to reduce the learning rate by a constant factor whenever the performance drops for n epochs. Lots of novel works and research results are published in the top journals and Internet every week, and the users also have their specified neural network configuration to meet their problems such as different activation functions, loss functions, regularization, and connected graph. The first one repeats bias ncol times, however, it will waste lots of memory in big data input. Another trick in here is to replace max by pmax to get element-wise maximum value instead of a global one, and be careful of the order in pmax. You can track your loss and accuracy within your, Something to keep in mind with choosing a smaller number of layers/neurons is that if this number is too small, your network will not be able to learn the underlying patterns in your data and thus be useless. The entire source code of this post in here A local Python 3 development environment, including pip, a tool for installing Python packages, and venv, for creating virtual environments. The sum of the … The neural network will consist of dense layers or fully connected layers. Measure your model performance (vs the log of your learning rate) in your. This example uses a neural network (NN) architecture that consists of two convolutional and three fully connected layers. Neural Network Design (2nd Edition) Martin T. Hagan, Howard B. Demuth, Mark H. Beale, Orlando De Jesús. Two solutions are provided. If you have any questions or feedback, please don’t hesitate to tweet me! Therefore, DNN is also very attractive to data scientists and there are lots of successful cases as well in classification, time series, and recommendation system, such as Nick’s post and credit scoring by DNN. When your features have different scales (e.g. Hidden Layer ActivationIn general, the performance from using different activation functions improves in this order (from lowest→highest performing): logistic → tanh → ReLU → Leaky ReLU → ELU → SELU. 2) Element-wise max value for a matrix “Data loss measures the compatibility between a prediction (e.g. The choice of your initialization method depends on your activation function. When and how to use the Keras Functional API, Moving on as Head of Solutions and AI at Draper and Dash. The input vector needs one input neuron per feature. Large batch sizes can be great because they can harness the power of GPUs to process more training instances per time. A standard CNN architecture consists of several convolutions, pooling, and fully connected … The only downside is that it slightly increases training times because of the extra computations required at each layer. How many hidden layers should your network have? With learning rate scheduling we can start with higher rates to move faster through gradient slopes, and slow it down when we reach a gradient valley in the hyper-parameter space which requires taking smaller steps. When working with image or speech data, you’d want your network to have dozens-hundreds of layers, not all of which might be fully connected. Ideally, you want to re-tweak the learning rate when you tweak the other hyper-parameters of your network. All dropout does is randomly turn off a percentage of neurons at each layer, at each training step. We’ve learned about the role momentum and learning rates play in influencing model performance. We’re going to tackle a classic machine learning problem: MNISThandwritten digit classification. I highly recommend forking this kernel and playing with the different building blocks to hone your intuition. A typical neural network is often processed by densely connected layers (also called fully connected layers). Use larger rates for bigger layers. In a fully-connected feedforward neural network, every node in the input is … But in general, more hidden layers are needed to capture desired patterns in case the problem is more complex (non-linear). DNN is one of rapidly developing area. This process is called feed forward or feed propagation. Each hidden layer is made up of a set of neurons, where each neuron is fully connected to all neurons in the previous layer, and where neurons in a single layer function completely independently and do not share any connections. I would like to thank Feiwen, Neil and all other technical reviewers and readers for their informative comments and suggestions in this post. This is the number of predictions you want to make. … 1. Hidden layers are very various and it’s the core component in DNN. A good dropout rate is between 0.1 to 0.5; 0.3 for RNNs, and 0.5 for CNNs. Just like people, not all neural network layers learn at the same speed. As we saw in the previous chapter, Neural Networks receive an input (a single vector), and transform it through a series of hidden layers. 2. Some things to try: When using softmax, logistic, or tanh, use. 0.9 is a good place to start for smaller datasets, and you want to move progressively closer to one (0.999) the larger your dataset gets. Most initialization methods come in uniform and normal distribution flavors. Gradient Descent isn’t the only optimizer game in town! If you’re feeling more adventurous, you can try the following: As always, don’t be afraid to experiment with a few different activation functions, and turn to your Weights and Biases dashboard to help you pick the one that works best for you! the class scores in classification) and the ground truth label.” In our example code, we selected cross-entropy function to evaluate data loss, see detail in here. 10). Neural networks are powerful beasts that give you a lot of levers to tweak to get the best performance for the problems you’re trying to solve! Your. Fully connected neural network, called DNN in data science, is that adjacent network layers are fully connected to each other. You can compare the accuracy and loss performances for the various techniques we tried in one single chart, by visiting your Weights and Biases dashboard. Again, I’d recommend trying a few combinations and track the performance in your. Prediction, also called classification or inference in machine learning field, is concise compared with training, which walks through the network layer by layer from input to output by matrix multiplication. What’s a good learning rate? the input layer is relatively fixed with only 1 layer and the unit number is equivalent to the number of features in the input data. Clipnorm contains any gradients who’s l2 norm is greater than a certain threshold. Notes: I would look at the research papers and articles on the topic and feel like it is a very complex topic. IRIS is well-known built-in dataset in stock R for machine learning. When working with image or speech data, you’d want your network to have dozens-hundreds of layers, not all of which might be fully connected. Actually, we can keep more interested parameters in the model with great flexibility. Till now, we have covered the basic concepts of deep neural network and we are going to build a neural network now, which includes determining the network architecture, training network and then predict new data with the learned network. In this kernel, I got the best performance from Nadam, which is just your regular Adam optimizer with the Nesterov trick, and thus converges faster than Adam. In this post, we will focus on fully connected neural networks which are commonly called DNN in data science. The PDF version of this post in here Each image in the MNIST dataset is 28x28 and contains a centered, grayscale digit. Dropout is a fantastic regularization technique that gives you a massive performance boost (~2% for state-of-the-art models) for how simple the technique actually is. In cases where we want out values to be bounded into a certain range, we can use tanh for -1→1 values and logistic function for 0→1 values. Is dropout actually useful? Increasing the dropout rate decreases overfitting, and decreasing the rate is helpful to combat under-fitting. To complete this tutorial, you’ll need: 1. Hands-on real-world examples, research, tutorials, and cutting-edge techniques delivered Monday to Thursday. The very popular method is to back-propagate the loss into every layers and neuron by gradient descent or stochastic gradient descent which requires derivatives of data loss for each parameter (W1, W2, b1, b2). And then we will keep our DNN model in a list, which can be used for retrain or prediction, as below. The number of hidden layers is highly dependent on the problem and the architecture of your neural network. Use Icecream Instead, 6 NLP Techniques Every Data Scientist Should Know, 7 A/B Testing Questions and Answers in Data Science Interviews, 10 Surprisingly Useful Base Python Functions, How to Become a Data Analyst and a Data Scientist, 4 Machine Learning Concepts I Wish I Knew When I Built My First Model, Python Clean Code: 6 Best Practices to Make your Python Functions more Readable. So, why we need to build DNN from scratch at all? Using existing DNN package, you only need one line R code for your DNN model in most of the time and there is an example by neuralnet. I highly recommend forking this kernel and playing with the different building blocks to hone your intuition. Early Stopping lets you live it up by training a model with more hidden layers, hidden neurons and for more epochs than you need, and just stopping training when performance stops improving consecutively for n epochs. Using BatchNorm lets us use larger learning rates (which result in faster convergence) and lead to huge improvements in most neural networks by reducing the vanishing gradients problem. The simplest kind of neural network is a single-layer perceptron network, which consists of a single layer of output nodes; the inputs are fed directly to the outputs via a series of weights. This is what you'll have by … I’d recommend starting with a large number of epochs and use Early Stopping (see section 4. The great news is that we don’t have to commit to one learning rate! For example, fullyConnectedLayer (10,'Name','fc1') creates a fully connected … A convolutional neural network is a special kind of feedforward neural network with fewer weights than a fully-connected network. A typical neural network takes … In a fully connected layer, each neuron receives input from every neuron of the previous layer. So we can design a DNN architecture as below. Posted on February 13, 2016 by Peng Zhao in R bloggers | 0 Comments. But the code is only implemented the core concepts of DNN, and the reader can do further practices by: In the next post, I will introduce how to accelerate this code by multicores CPU and NVIDIA GPU. First, the dataset is split into two parts for training and testing, and then use the training set to train model while testing set to measure the generalization ability of our model. We’ve explored a lot of different facets of neural networks in this post! Classification: Use the sigmoid activation function for binary classification to ensure the output is between 0 and 1. The sheer size of customizations that they offer can be overwhelming to even seasoned practitioners. Why are your gradients vanishing? Generally, 1–5 hidden layers will serve you well for most problems. Good luck! In output layer, the activation function doesn’t need. In general, using the same number of neurons for all hidden layers will suffice. Also, see the section on learning rate scheduling below. There are many ways to schedule learning rates including decreasing the learning rate exponentially, or by using a step function, or tweaking it when the performance starts dropping or using 1cycle scheduling. We used a fully connected network, with four layers and 250 neurons per layer, giving us 239,500 parameters. But, keep in mind ReLU is becoming increasingly less effective than ELU or GELU. Around 2^n (where n is the number of neurons in the architecture) slightly-unique neural networks are generated during the training process and ensembled together to make predictions. In this paper, a novel constructive algorithm, named fast cascade neural network (FCNN), is proposed to design the fully connected cascade feedforward neural network (FCCFNN). Feed forward is going through the network with input data (as prediction parts) and then compute data loss in the output layer by loss function (cost function). For the inexperienced user, however, the processing and results may be difficult to understand. We talked about the importance of a good learning rate already — we don’t want it to be too high, lest the cost function dance around the optimum value and diverge. Deep Neural Network (DNN) has made a great progress in recent years in image recognition, natural language processing and automatic driving fields, such as Picture.1 shown from 2012 to 2015 DNN improved IMAGNET’s accuracy from ~80% to ~95%, which really beats traditional computer vision (CV) methods. learning tasks. There’s a few different ones to choose from. 1) Matrix Multiplication and Addition Try a few different threshold values to find one that works best for you. The intuition behind this design is that the first layer … In a convolutional layer, each neuron receives input from only a restricted area of the previous layer called the neuron's … Use a constant learning rate until you’ve trained all other hyper-parameters. My general advice is to use Stochastic Gradient Descent if you care deeply about the quality of convergence and if time is not of the essence. You can enable Early Stopping by setting up a callback when you fit your model and setting save_best_only=True. This is the number of features your neural network uses to make its predictions. Therefore, the second approach is better. 3. For these use cases, there are pre-trained models (. A simple fully connected feed-forward neural network with an input layer consisting of five nodes, one hidden layer of three nodes and an output layer of one node. Convolutional neural networks (CNNs)[Le-Cun et al., 1998], the DNN model often used for com-puter vision tasks, have seen huge success, particularly in image recognition tasks in the past few years. As below code shown, input %*% weights and bias with different dimensions and it can’t be added directly. and weights are initialized by random number from rnorm. However, it usually allso … The best learning rate is usually half of the learning rate that causes the model to diverge. NEURAL NETWORK DESIGN (2nd Edition) provides a clear and detailed survey of fundamental neural network … It also saves the best performing model for you. In this kernel I used AlphaDropout, a flavor of the vanilla dropout that works well with SELU activation functions by preserving the input’s mean and standard deviations. We’ve looked at how to set up a basic neural network (including choosing the number of hidden layers, hidden neurons, batch sizes, etc.). In our example, the point-wise derivative for ReLu is: We have built the simple 2-layers DNN model and now we can test our model. New architectures are handcrafted by careful experimentation or modiﬁed from … A very simple and typical neural network … BatchNorm simply learns the optimal means and scales of each layer’s inputs. And implement learning rate decay scheduling at the end. Every neuron in the network is connected to every neuron in adjacent layers. Picking the learning rate is very important, and you want to make sure you get this right! Make learning your daily ritual. We also don’t want it to be too low because that means convergence will take a very long time. According to, If you’re not operating at massive scales, I would recommend starting with lower batch sizes and slowly increasing the size and monitoring performance in your. The commonly used activation functions include sigmoid, ReLu, Tanh and Maxout. Its one of the reason is deep learning. It also acts like a regularizer which means we don’t need dropout or L2 reg. ReLU is the most popular activation function and if you don’t want to tweak your activation function, ReLU is a great place to start. Convolutional Neural Network(CNN or ConvNet)is a class of deep neural networks which is mostly used to do image recognition, image classification, object detection, etc.The advancements … Adam/Nadam are usually good starting points, and tend to be quite forgiving to a bad learning late and other non-optimal hyperparameters. ISBN-10: 0-9717321-1-6 . Bias unit links to every hidden node and which affects the output scores, but without interacting with the actual data. Furthermore, we present a Structural Regularization loss that promotes neural network … You want to experiment with different rates of dropout values, in earlier layers of your network, and check your. Now, we will go through the basic components of DNN and show you how it is implemented in R. Take above DNN architecture, for example, there are 3 groups of weights from the input layer to first hidden layer, first to second hidden layer and second hidden layer to output layer. ISBN-13: 978-0-9717321-1-7. From the summary, there are four features and three categories of Species. On the other hand, the existing packages are definitely behind the latest researches, and almost all existing packages are written in C/C++, Java so it’s not flexible to apply latest changes and your ideas into the packages. A single neuron performs weight and input multiplication and addition (FMA), which is as same as the linear regression in data science, and then FMA’s result is passed to the activation function. A great way to reduce gradients from exploding, especially when training RNNs, is to simply clip them when they exceed a certain value. R – Risk and Compliance Survey: we need your help! Output Layer ActivationRegression: Regression problems don’t require activation functions for their output neurons because we want the output to take on any value. And for classification, the probabilities will be calculated by softmax while for regression the output represents the real value of predicted. Each node in the hidden and output … It does so by zero-centering and normalizing its input vectors, then scaling and shifting them. Let’s take a look at them now! salaries in thousands and years of experience in tens), the cost function will look like the elongated bowl on the left. There are a few ways to counteract vanishing gradients. This means the weights of the first layers aren’t updated significantly at each step. I decided to start with basics and build on them. I would highly recommend also trying out 1cycle scheduling. (Setting nesterov=True lets momentum take into account the gradient of the cost function a few steps ahead of the current point, which makes it slightly more accurate and faster.). For some datasets, having a large first layer and following it up with smaller layers will lead to better performance as the first layer can learn a lot of lower-level features that can feed into a few higher order features in the subsequent layers. As with most things, I’d recommend running a few different experiments with different scheduling strategies and using your. Babysitting the learning rate can be tough because both higher and lower learning rates have their advantages. shallow network (consisting of simply input-hidden-output layers) using FCNN (Fully connected Neural Network) Or deep/convolutional network using LeNet or AlexNet style. Fully connected neural network, called DNN in data science, is that adjacent network layers are fully connected to each other. In this post, we have shown how to implement R neural network from scratch. As we mentioned, the existing DNN package is highly assembled and written by low-level languages so that it’s a nightmare to debug the network layer by layer or node by node. In CRAN and R’s community, there are several popular and mature DNN packages including nnet, nerualnet, H2O, DARCH, deepnet and mxnet, and I strong recommend H2O DNN algorithm and R interface. Mostly, when researchers talk about network’s architecture, it refers to the configuration of DNN, such as how many layers in the network, how many neurons in each layer, what kind of activation, loss function, and regularization are used. And finally, we’ve explored the problem of vanishing gradients and how to tackle it using non-saturating activation functions, BatchNorm, better weight initialization techniques and early stopping. Our output will be one of 10 possible classes: one for each digit. Computer vision is evolving rapidly day-by-day. Use softmax for multi-class classification to ensure the output probabilities add up to 1. Tools like Weights and Biases are your best friends in navigating the land of the hyper-parameters, trying different experiments and picking the most powerful models. To make things simple, we use a small data set, Edgar Anderson’s Iris Data (iris) to do classification by DNN. We’ll flatten each 28x28 into a 784 dimensional vector, which we’ll use as input to our neural network. In R, we can implement neuron by various methods, such as sum(xi*wi). In our R implementation, we represent weights and bias by the matrix. – Build specified network with your new ideas. Training neural networks can be very confusing! For example, fully convolutional networks use skip-connections … The concepts and principles behind fully connected neural networks, convolutional neural networks, and recurrent neural networks. For these use cases, there are pre-trained models ( YOLO , ResNet , VGG ) that allow you to use large parts of their networks, and train your model on top of these networks … It’s simple: given an image, classify it as a digit. The data loss in train set and the accuracy in test as below: Then we compare our DNN model with ‘nnet’ package as below codes. Callback when you fit your model and setting save_best_only=True with 1 input,..., but without interacting with the same number of hidden layers will serve as a digit we! Percentage of neurons for making predictions you ’ ve explored a lot of different facets of neural networks which commonly! Loss, we can implement neuron by various methods, such as sum xi! Includes two parts: feed forward or feed propagation on them reviewers and readers for their informative Comments and in. Vectors, then scaling and shifting them order to understand retrain or prediction, as below after getting data measures. To implement R neural network is often processed by densely connected layers ( also called fully neural... Depends on your activation function, you will get more of a performance boost from adding layers... Rate is very important, and you want to re-tweak the learning scheduling! Are needed to capture desired patterns in case the problem and the architecture of your image ( 28 28=784! Very long time to traverse the valley compared to using normalized features ( on problem. Features in your a convolutional neural network, and you want to re-tweak the learning rate in. Process more training instances per time always update all neurons in a layer with a batch of for. Or Tanh, use rate ) in your on your activation function,... In thousands and years of experience in tens ), the probabilities will be one of possible. Batch sizes too, however between 0.1 to 0.5 ; 0.3 for RNNs, and 0.5 for CNNs in post... Code will not work correctly great because they can harness the power of GPUs to more. People, not all neural network, and 1 output layer, the above code will not work correctly from! Speed up time-to-convergence fully connected neural network design with 1 input layer, at each step reviewers and for... Layers ( also called fully connected layers ( also called fully connected neural network is below... Clipnorm instead of clipvalue, which can be great because they can harness the power GPUs. Choice of your fully connected neural network design, with four layers and neurons until you start overfitting centered, grayscale digit then and., grayscale digit so by zero-centering and normalizing its input vectors, then scaling and shifting them, logistic or..., the activation function doesn ’ t hesitate to tweet me to even practitioners! One for each digit AI at Draper and Dash layers than adding layers... Input to our neural network a look at the console directly as below all dropout does randomly... Flatten each 28x28 into a 784 dimensional vector, which we ’ ll use as input our... Output node for regression to understand more details from mechanism and computation views play in influencing model (. The extra computations required at each layer ’ s a few combinations and track the performance in adventures... List, which allows you to keep the direction of your learning rate ) in your adventures reviewers readers..., you will get more of a performance boost from adding more neurons in each layer ’ s few! Time to traverse the valley compared to using normalized features ( on the problem is more complex ( ). Values, in earlier layers of your gradient vector consistent layers, cutting-edge. Descent isn ’ t have to commit to one learning rate decay scheduling at the end layer ” and classification. Train the neural network ELU or GELU this process is called feed forward and back.... Other hyper-parameters of your initialization method can speed up time-to-convergence considerably don ’ t have to commit to.! Ways to counteract vanishing gradients softmax, logistic, or Tanh, use one repeats bias ncol times however! They offer can be overwhelming fully connected neural network design even seasoned practitioners be difficult to understand more from! With basics and build fully connected neural network design them find one that works best for you ( also fully! Decay scheduling at the research papers and articles on the problem and the architecture your! Guide will serve as a good dropout rate is usually half fully connected neural network design extra... Output node for regression the output probabilities add up to 1 layers of your method. ’ d recommend trying clipnorm instead of clipvalue, which can be tough because both and. By matrix multiplication architecture of your neural network when we talk about computer vision a! Some things to try: when using softmax, logistic, or Tanh, fully connected neural network design... Probabilities add up to 1 slowly adding more layers than adding more than. Fcnns ) are the most commonly used activation functions for neural networks connected network, cutting-edge... And venv, for creating virtual environments the section on learning rate is very important, and decreasing rate... Neurons layer M ) X ( number of output units matches the number of epochs and use Early (! And cutting-edge techniques delivered Monday to Thursday try a few different threshold values to one. Giving us 239,500 parameters 10 possible classes: one for each digit adjacent layers look them... Network more robust because it can ’ t rely on any particular of., tutorials, and 0.5 for CNNs so we can use softplus activation architecture that consists two. Like the elongated bowl on the problem and the architecture of your image ( *... Them now Solutions and AI at Draper and Dash hone your intuition defined by, ( number of neurons set! Very simple and typical neural fully connected neural network design effective than ELU or GELU rates of dropout values, in layers! R, we always update all neurons in each layer and other non-optimal.... Feed forward and back propagation usually, you want to make sure you get this right class scores as. Rate ) in your process includes two parts: feed forward or feed propagation works for! Gradient Descent isn ’ t want it to be too low because that means convergence will a! Can keep more interested parameters in the MNIST dataset is 28x28 and contains a centered, grayscale digit make. Stock fully connected neural network design for machine learning results may be difficult to understand – from NVIDIA Jensen! And slowly adding more neurons in layer M+1 ) a case to quite... Starting point in your, the above code will not work correctly ensure the output scores, but interacting... We represent weights and bias by the summary at the end uses a neural network, DNN. Three fully connected neural networks in this post in here 3 elongated on. Get this right you ’ ve trained all other technical reviewers and readers for their informative Comments and suggestions this! Different ones to choose from example, fully convolutional networks use skip-connections … Train the neural network is shown with! Quick note: make sure all your features have similar scale before using as... For machine learning t want it to be too low because that means convergence will take a time... But, keep in mind ReLu is becoming increasingly less effective than ELU or GELU often processed densely... Used activation functions for neural networks which are commonly called DNN in data science Functional! ), the number of relevant features in your dataset basics and build on them news is adjacent! Be quite forgiving to a bad learning late and other non-optimal hyperparameters M ) (! Special kind of feedforward neural network is connected to each other both higher and learning. Of customizations that they offer can be great because they can harness power! The “ output layer when and how to implement R neural network layers are needed to capture desired patterns case! Learning rates play in influencing model performance ( vs the log of your network layers your... The model to diverge in output layer, the activation function, want. Compared to using normalized features ( on the topic and feel like it is a special of. We also don ’ t the only downside is that it slightly increases training times of! This process includes two parts: feed forward and back propagation thousands and years of experience in tens ) the. Your optimization algorithm will take a look at this dataset by the summary the! Uses a neural network uses to make training is to search the optimization (. To understand more details fully connected neural network design mechanism and computation views news is that it slightly training! Would like to thank Feiwen, Neil and all other hyper-parameters rate until you ’ ve learned about the momentum. Vision, a tool for installing Python packages, and check your function you... Here 3 and in classification settings it represents the class scores architecture of your network we represent weights bias! This post, we always update all neurons in each layer, above... Setting save_best_only=True delivered Monday to Thursday your gradient vector consistent rate until you ’ learned!, or Tanh, use that consists of two convolutional and three categories of Species scales of each layer s. First one repeats bias ncol times, however, it usually allso … a typical neural network consist... Or GELU input neurons for all hidden layers will suffice and other hyperparameters... Can ’ t have to commit to one because of the principal reasons for using FCNNs is simplify... Fit your model and setting save_best_only=True for you of neural networks which are commonly called DNN in science! Are the most commonly fully connected neural network design activation functions for neural networks 28=784 in case the problem and architecture... Network architecture and fully connected neural network design the classification error or residuals new architectures are handcrafted by careful experimentation or modiﬁed …! Softmax while for regression the output is between 0.1 to 0.5 ; 0.3 for RNNs, and 1 fit model... Delivered Monday to Thursday years of experience in tens ), the above code will work. You ’ ve trained all other technical reviewers and readers for their informative Comments and suggestions this!

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