Question 1

Figure from the passage in the original paper Based on the above data, answer the given subquestions. Which of the following equations correctly represents the maximum likelihood problem for Figure from the original question paper estimating\ ? Figure from the passage in the original paper Based on the above data, answer the given subquestions. Figure from the original question paper Derive the maximum likelihood estimate of the parameter\ in terms of the training examples Figure from the original question paper . Consider the following dataset with 4 features $\{f_1, f_2, f_3, f_4\}$ and three labels $y = 0, -1, +1$. Assume the features to be binary. Answer the given subquestions under the Naive Bayes assumptions. | Sample | $f_1$ | $f_2$ | $f_3$ | $f_4$ | $y$ | |---|---|---|---|---|---| | 1 | 1 | 0 | 1 | 0 | 0 | | 2 | 0 | 1 | 0 | 1 | 0 | | 3 | 1 | 1 | 0 | 0 | $+1$ | | 4 | 1 | 1 | 1 | 0 | $+1$ | | 5 | 0 | 0 | 1 | 1 | $-1$ | | 6 | 0 | 0 | 0 | 1 | $-1$ | Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Find the maximum likelihood estimate\ and\ of\ ,\ , and , respectively.