3. Suppose we have four training examples under the two-category case, i.e. D* = {(x₁,w₁) |1 ≤ i ≤ 4} where x₁ = (1, 2), x₂ = (2, 2), x3 = (1, 1)¹, x₁ = (2,0) and w₁ = 62 = -1, W3 = w₁ = 1. Furthermore, linear discriminant function g(x) = wx+b is adopted to learn from the training examples and the -5²,Wi. · g(x₁). criterion function to be minimized is set as (w. b) 11
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- Consider the following equation that defines the conditions under which a square is breezy in the Wumpus World: ∀x,y Breezy(x, y) ⇔ ∃u,v Adjacent(u, v, x, y)∧Pit(u, v). Here we consider two other ways to describe this aspect of the Wumpus World. We can write diagnostic rulesleading from observed effects to hidden causes. For finding pits, the obvious diagnostic rules say that if a square is breezy, some adjacent square must contain a pit; and if a square is not breezy, then no adjacent square contains a pit. Write these two rules in first-order logic and show that their conjunction is logically equivalent to equation above. We can write causal rulesleading from cause to effect. One obvious causal rule is that a pit causes all adjacent squares to be breezy. Write this rule in first-order logic, explain why it is incomplete compared to equation above, and supply the missing axiom.Suppose you are using a Linear SVM classifier with 2 class classification problem. Now you have been given the following data in which some points are circled red that are representing support vectors. a) Draw the decision boundary of linear SVM. Give a brief explanation. b) Suppose instead of SVM, we use regularized logistic regression to learn the classifier circle the points such that removing that example from the training set and running regularized logistic regression, we would get a different decision boundary than training with regularized logistic regression on the full sample . why ?Select the appropriate characteristic for each of the following environments Note: The characteristics of the environment are determined using the following shortcuts FO: Fully Observable - PO: partially Observable SA: Single Agent - MA: Multi Agent DT: Deterministic - ST: Stochastic SQ: Sequence - EP: Episodic Backgammon Choose: Bachgammon Po ma st sq Fo sa dt sq Po sa st sq Fo ma st s1 Boker Choose: Bachgammon Po ma st sq Fo sa dt sq Po sa st sq Fo ma st s1 crossword puzzle Choose: Bachgammon Po ma st sq Fo sa dt sq Po sa st sq Fo ma st s1 Medical Diagnostic Choose: Backagammon Po ma st sq Fo sa dt sq Po sa st sq Fo ma st s1
- Assuming a total sample of 1079 persons, among which 520 persons are having autism and 559 are healthy persons. When we pass the data of 520 autism patients into the KNN classifier, it correctly predicted “220” patients as autism category and the remaining patients into healthy category. Similarly, from 559 healthy persons, the KNN categorize “100” as autism patients and the remaining as healthy persons. In the above scenario, if “autism” is considered as “positive class” and “healthy person” is considered as negative class then find the: True Positive True Negative False Positive False Negative Sensitivity (True positive rate) Specificity (True negative rate) Accuracy PrecisionAssuming a total sample of 1079 persons, among which 520 persons are having autism and 559 are healthy persons. When we pass the data of 520 autism patients into the KNN classifier, it correctly predicted “220” patients as autism category and the remaining patients into healthy category. Similarly, from 559 healthy persons, the KNN categorize “100” as autism patients and the remaining as healthy persons. In the above scenario, if “autism” is considered as “positive class” and “healthy person” is considered as negative class then find the: True Positive True Negative False Positive False Negative Sensitivity (True positive rate) Specificity (True negative rate) Accuracy Precision Draw the confusion matrix Assuming a total sample of 1079 persons, among which 520 persons are having autism and 559 are healthy persons. When we pass the data of 520 autism patients into the KNN classifier, it correctly predicted “220” patients as autism category and the…Consider a fully-connected artificial neural network with one hidden layer, i.e., a multilayer perceptron (MLP), which has 5 inputs, 3 neurons in the hidden layer, and 1 output neuron. The relation between the output y and the inputs x = [x1, . . . , x5] is given by y(x) = f (w, φ(x)), where φ(x) = [φ1(x), φ2(x), φ3(x)] 1. Draw the diagram that shows the inputs, nuerons, connections, correspond-ing weight parameters, and activation functions. 2. Explain the relation y(x) = f (w, φ(x)): write the explicit relation, explainthe role of functions f and φ(x), and state examples of functions.
- Here, you may choose from two different theories: the Path-Goal Theory and the Leader-Member Exchange (LMX) Theory. Real-world examples are useful for making any point more understandable.Consider the following scenario: A teacher interviews a student, and during the interview the teacher always grades the student. This scenario can be modeled with two use cases -- "Conduct Interview" and "Grade Student". What is the relationship between these two use cases? a) Conduct Interview extends Grade Student b) Grade Student extends Conduct Interview c) Conduct Interview includes Grade Student d) Grade Student includes Conduct InterviewSelect the appropriate characteristic for each of the following environments Note: The characteristics of the environment are determined using the following shortcuts FO: Fully Observable - PO: partially Observable SA: Single Agent - MA: Multi Agent DT: Deterministic - ST: Stochastic SQ: Sequence - EP: Episodic Solitaire Choose: FO, MA, DT, EP FO, SA, DT, EP PO, SA, ST, SQ PO, MA, ST, SQ Medical Diagnostic Choose: FO, MA, DT, EP FO, SA, DT, EP PO, SA, ST, SQ PO, MA, ST, SQ Image analysis Choose: FO, MA, DT, EP FO, SA, DT, EP PO, SA, ST, SQ PO, MA, ST, SQ Please answer all parts of the question.
- Let (?(?),?(?))??=1(x(i),y(i))i=1m be a set of training examples where ??∈ℝyi∈R and ??∈ℝ?xi∈Rn, write a linear regression model using model parameter ??θj and features ?1,...,??x1,...,xn.Given Rubin's perfect doctor example, write an R program to find all possible assignments where 3 out of 8 units receive treatment (how many are there?). For each treatment assignment derive the observed association measure for both the mean and the median (difference between sample means and difference between sample medians respectively) and summarise them in a histogram.Correct answer will be upvoted else downvoted. The I-th city has man-made intelligence huge loads of black-top. x huge loads of black-top are spent while fixing a street, and to fix a street among I and j, urban communities I and j should have essentially x huge loads of black-top between them. All in all, if city I had simulated intelligence huge loads of black-top and city j had aj tons, there would remain ai+aj−x tons subsequent to fixing the street between them. Black-top can be moved between urban areas if the street between them is now fixed. Kindly decide whether it is feasible to associate every one of the urban communities, and assuming this is the case, output any succession of streets to fix. Input The principal line contains integers n, m, and x (2≤n≤3⋅105; n−1≤m≤3⋅105; 1≤x≤109) — the number of urban communities, number of streets, and measure of black-top expected to fix one street. The following line contains n space-isolated integer simulated intelligence…