Several years have already passed since the onset of the Deep Learning boom. I have witnessed impressive achievements like ChatGPT and Midjourney, however, I am still amazed at how traditional methods like Cholesky decomposition remain extremely useful and efficient. Particularly, for tasks like Linear Regression, this method stands out due...
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Linear Least Squares Regression with TensorFlow
Linear Least Squares Regression is by far the most widely used regression method, and it is suitable for most cases when data behavior is linear. By definition, a line is defined by the following equation: For all data points (xi, yi) we have to minimize the sum of the squared...
Continue reading...Classification Loss Functions (Part II)
In my previous post, I mentioned 3 loss functions, which are mostly intended to be used in Regression models. This time, I’m going to talk about Classification Loss Functions, which are going to be used to evaluate loss when predicting categorical outcomes. Let’s consider the following vector to help us...
Continue reading...Loss Functions (Part 1)
Implementing Loss Functions is very important to machine learning algorithms because we can measure the error from the predicted outputs to the target values. Algorithms get optimized by evaluating outcomes depending on a specified loss function, and TensorFlow works in this way as well. We can think on Loss Functions...
Continue reading...Activation Functions (updated)
Table of Contents What is an activation function? Activation Functions Sigmoid ReLU (Rectified Linear Unit) ReLU6 Hyperbolic Tangent ELU (Exponential Linear Unit) Softmax Softplus Softsign Swish Sinc Leaky ReLU Mish GELU (Gaussian Error Linear Unit) SELU (Scaled Exponential Linear Unit) What is an activation function? An activation function is a...
Continue reading...Working with Matrices in TensorFlow
Matrices are the basic elements we use to interchange data through computational graphs. In general terms, a tensor can de defined as a matrix, so you can refer to Declaring tensors in TensorFlow in order to see the options you have to create matrices. Let’s define the matrices we are...
Continue reading...Understanding Variables and Placeholders in TensorFlow
Usually, when we start using TensorFlow, it’s very common to think that defining variables is just as trivial as a HelloWorld program, but understanding how variables (and placeholders) work under the hood is very important to understand more complex concepts because those concepts heavily use variables/placeholders; and, if we don’t...
Continue reading...Declaring tensors in TensorFlow
[Requirement: Tensorflow and NumPy installed on Python +3.5][Requirement: import tensorflow as tf][Requirement: import numpy as np] Tensors are the primary data structure we use in TensorFlow, and, as Wikipedia describes them, “tensors are geometric objects that describe linear relations between geometric vectors, scalars and other tensors”. Tensors can be described...
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