# kernel density estimation

Understand the formulation of kernel density estimation. Build a strong mathematical foundation for machine learning and solo learning.

#### Input Data

$$data=-2.76, -1.09, -0.5, -0.15, 0.22, 0.69, 1.34, 1.75$$ $$x= 0.5$$

#### Solution

$$Ans.\ Density = 0.23945708994541$$

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# What is Density Estimator?

what is a Thickness assessment that pushes the limit between solo learning, highlight designing, and information displaying? The absolute generally mainstream and helpful thickness assessment strategies are blend models, for example, Gaussian Mixtures (Gaussian Mixture), and neighbor-based methodologies, for example, the portion thickness gauge (Kernel Density). Gaussian Mixtures are examined all the more complete with regards to grouping, in light of the fact that the procedure is additionally helpful as a solo bunching plan.

Thickness assessment is a basic idea, and a great many people are now acquainted with one regular thickness assessment procedure: the histogram.

## Kernel Density Estimation

Portion thickness assessment in sci-kit-learn is executed in the Kernel Density assessor, which utilizes the Ball Tree or KD Tree for proficient questions (see Nearest Neighbors for a conversation of these). Despite the fact that the above model uses a 1D informational index for effortlessness, bit thickness assessment can be acted in quite a few measurements, however, practically speaking the scourge of dimensionality makes its exhibition debase in high measurements.

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