Recent questions tagged goclasses-da-dpp

Consider a dataset that has a single feature ( $x$ ). The first column in the table below represents the value of the feature, the second column represents the number of ...

Consider a dataset that has 10 zeros and 5 ones. Assuming a Bernoulli distribution with parameter $p$ as the probabilistic model, where $p=P(X=1)$, what is the estimate o...

Answer the following question w.r.t. k-meansConsider two cluster centres $\mu_1$ and $\mu_2$ corresponding to two clusters $C_1$ and $C_2$ as shown in the below image. Co...

If the data set has two features $x_1$ and $x_2$, which of the following is/are true for $K$ means clustering with $\mathrm{k}=3$ ?1. If $x_1$ and $x_2$ have a correlatio...

Consider 7 data points $x_1, x_2, \ldots, x_7:\{(0,4),(4,0),(2,2),(4,4),(6,6),(5,5),(9,9)\}$. Assume that we want to form 3 clusters from these points using K-Means algor...

Which of the following statements are True?1. K-means is extremely sensitive to cluster center initializations.2. Bad initialization can lead to poor convergence speed.3....

Consider the following data points:  Assume that K-means is applied on this data with $k=2$. Which of the following are expected to be the clusters produced?Note: Differe...

Which of the following best represents a valid voronoi diagram for K -means algorithm with $\mathrm{K}=3$ ? (The dots represent the cluster centres of respective clusters...

Let $x_1, x_2, \ldots, x_n$ be $d$-dimensional data points $(d>n)$ and $X$ be the matrix of shape $d \times n$ containing the data points. The $k^{\text {th }}$ largest e...

PCA is run on a dataset that has 2 features. The resulting principal components are $\mathbf{w}_1$ and $\mathbf{w}_2$. We represent the points in 2D space in terms of thi...

Consider a dataset that has $1000$ samples, where each sample belongs to $\mathbb{R}^{30}$. PCA is run on this dataset and the top $4$ principal components are retained, ...

Consider the following images of points in 2D space. The red line segments in one of the images represent the lengths of the residues after projecting the points on the l...

Why is data preprocessing necessary before using it for model building?The data may contain outliers or missing values due to errors in data Features may have different s...

What is the primary risk of not performing a train-test split in a machine learning workflow?The training time will increase. The model might overfit the training data an...

A bank wants to predict whether a customer will default on a loan using a classification model. The bank collects data from past customers, which includes the following f...

A bank wants to predict whether a customer will default on a loan using a classification model. The bank collects data from past customers, which includes the following f...

Which of the following is the best second-order polynomial that fits the dataset by the least sum of squares method?$$\min _{\theta_0, \theta_1, \theta_2} \sum_{i=1}^3\le...

Which of the following functions corresponds to a classification model?$f: \mathbb{R}^d \rightarrow \mathbb{R}$ $f: \mathbb{R}^d \rightarrow\{+1,-1\}$ $f: \mathbb{R}^d \r...

Which of the following are examples of unsupervised learning problems?Grouping tweets based on topic similarity Making clusters of cells having a similar appearance under...

Identify task that needs the use of regression in the followingPredict the height of a person based on his weight. Predict the country a person belongs to based on his li...

Identify classification problem in the following statementsFind the gender of a person by analyzing writing style. Predict the price of a car based on engine power, milea...

Consider the following two scenarios:(1) Given the details of a person's sample, the lab technician wants to find whether the person is suffering from cancer or not.(2) Y...

In a regression model, the parameters $w_i$ 's and $b$ of the function $$f(X)= \sum_{j=1}^d w_j^{\prime} x_j+b$$ where $$X=\left[x_1, x_2, \ldots, x_d\right]$$are strictl...

For spam detection, if we use traditional programming rather than a machine learning approach, which problems may be faced?The need to check for a long list of possible p...

Identify which of the following problems requires a regression algorithm.Predicting the country that a person belongs to based on his physical features. Predicting the an...

Which of the following is true about a model?$1$. A model is a mathematical representation of reality.$2$. A model is an exact representation of a system.$3$. A model use...

A social networking service company needs to develop a system that detects violent images. The technical team proposed a machine learning model to achieve the task. Then,...

Let a set of data points with five samples and two features per sample be $X=\left[\begin{array}{cc}1 & 2 \\ 2 & 3 \\ 4 & 2.5 \\ 6 & 4 \\ 7.5 & 5\end{array}\right]$ and t...

Consider a set of $3$ paired observations on $\left(x_i, b_i\right), i=1,2,3$ as $((1,6),(-1,3),(3,15))$. For the closest line $b$ to go through these points, which of th...

Suppose we have the following three training points: $x 1=(1,1), x 2=(-1,3), x 3=(2,4)$ and the associated outputs with these 3 points are: $(y 1, y 2, y 3)=(5,11,18)$.if...