Sin-Cosine
Sine and cosine are fundamental trigonometric functions that relate the angles of a triangle to the lengths of its sides. They are essential in various fields, including mathematics, physics, and engineering. The sine function, denoted as sin(x), represents the ratio of the length of the opposite side to the hypotenuse in a right triangle, while the cosine function, denoted as cos(x), represents the ratio of the length of the adjacent side to the hypotenuse. These functions are periodic, with a range of values between -1 and 1, and play a crucial role in modeling oscillatory phenomena, such as waves and circular motion.
Derivative of the Sine and Cosine
Many machine learning algorithms involve an optimization process for different purposes. Optimization refers to the problem of minimizing or maximizing an objective function by altering the value of i...
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CosineSimilarity
Returns cosine similarity between x 1 x_1 x 1 and x 2 x_2 x 2 , computed along dim . dim ( int , optional ) – Dimension where cosine similarity is computed. Default: 1 eps ( float , optional ) – S...
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torch.signal.windows.cosine
Computes a window with a simple cosine waveform. Also known as the sine window. The cosine window is defined as follows: The window is normalized to 1 (maximum value is 1). However, the 1 doesn’t appe...
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CosineEmbeddingLoss
Creates a criterion that measures the loss given input tensors x 1 x_1 x 1 , x 2 x_2 x 2 and a Tensor label y y y with values 1 or -1. This is used for measuring whether two inputs are similar or ...
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torch.sin
Returns a new tensor with the sine of the elements of input . input ( Tensor ) – the input tensor. out ( Tensor , optional ) – the output tensor. Example:
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Cosine similarity on a subset of documents for multipass search
How do you calculate cosine on a subset of vectors in a vector index? Documents 1M - 10000 - 100 - 10 64D - 128D - 256D - 512D (D - vector…
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Sine Message
67 Sine Message This program displays a message of the user’s choice in a wavy pattern as the text scrolls up. It accomplishes this effect with math.sin() , which implements the trigonometric sine wa...
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Cosine Similarity and Embeddings Are Still in Love?
Cosine similarity is the most widely used method for calculating the similarity between two entities (words, sentences, or documents). It seems like an easy and robust system, but it also has a dark s...
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Cosine similarity: How does it measure the similarity, Maths behind and usage in Python
Cosine similarity measures the similarity between two vectors by calculating the cosine of the angle between the two vectors. Cosine similarity is one of the most widely used and powerful similarity…
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Transform Data with Hyperbolic Sine
Why handling negative values should be a cinch Photo by Osman Rana on Unsplash Many models are sensitive to outliers, such as linear regression, k-nearest neighbor, and ARIMA. Machine learning algori...
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torch.signal.windows.general_cosine
Computes the general cosine window. The general cosine window is defined as follows: The window is normalized to 1 (maximum value is 1). However, the 1 doesn’t appear if M is even and sym is True . M ...
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torch.sinh
Returns a new tensor with the hyperbolic sine of the elements of input . input ( Tensor ) – the input tensor. out ( Tensor , optional ) – the output tensor. Example: Note When input is on the CPU, the...
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