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Issue 169 : linUCB Gaussian Mixture And Self-Normalized Noise Bound - #170

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FawadHa1der wants to merge 98 commits into
LeanMachineLearning:mainfrom
FawadHa1der:issue-169
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FawadHa1der wants to merge 98 commits into
LeanMachineLearning:mainfrom
FawadHa1der:issue-169

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This PR is dependent #168

This PR address #169

Review Probability.lean, TextbookMixture.lean, TextbookConfidenceBridge.lean for this PR

…ted squared-width sum equals the old sum plus the new final term at time n
…ted quadratic squared-width sum equals the old quadratic sum plus the new final term at time n
…ction LinUCB algorithm object and its process-level API.
…ra needed for ridge regression, widths, determinant ratios, and design-matrix updates.
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