Bayes Net Representation (2%)[1%] Answer True or False: In a Bayes Net, if X and Y are conditionally independent given Z,then X and Y are d-separated by Z.[1%] Consider the following Bayes Net structureEList at least 4 conditional independences from the above structure (e.g., A II D | B, or A || E)

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Answered: Bayes Net Representation (2%) [1%]…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter19: Probabilistic Dynamic Programming

Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations

Problem 7P

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Step 1. Intersection over Union # def intersection_over_union(dt_bbox, gt_bbox): ---> return iou Step 2. Evaluate Sample We now have to evaluate the predictions of the model. To do this, we will write a function that will do the following: Take model predictions and ground truth bounding boxes and labels as inputs. For each bounding box from the prediction, find the closest bounding box among the answers. For each found pair of bounding boxes, check whether the IoU is greater than a certain threshold iou_threshold. If the IoU exceeds the threshold, then we consider this answer as True Positive. Remove a matched bounding box from the evaluation. For each predicted bounding box, return the detection score and whether we were able to match it or not. def evaluate_sample(target_pred, target_true, iou_threshold=0.5): # ground truth gt_bboxes = target_true['boxes'].numpy() gt_labels = target_true['labels'].numpy() # predictions dt_bboxes =…
1 Let an approximate value of π is given by x₁ = 3.142871 and its true value is x = 3.1415926. Then find the absolute, relative and percentage errors. 2 Construct forward difference table for y = f(x) = x³ + 2x + 1 for x = 1, 2, 3, 4, 5. 3 Prove V=1 - E-1 4 Evaluate i. (4)x3 0.0 11. A²ex
Experiential students who are at least 21 years old and have completed at least three years of post-secondary study may volunteer as mentors. In cell L2, insert the following formula, which makes use of the IF and AND functions, as well as structural references, to assess if Kay Colbert is eligible to serve as a mentor: It is expected that the IF function will determine if the student's age is more than or equal to 21 AND whether the student's post-secondary years are greater than or equal to 3, and that it will return the text. Yes, if a student fulfils both of those requirements, or if the text says so. If a student does not satisfy all of the requirements or just one of them, the answer is no. Can you tell me the formula for doing this in Excel?
Let L₁ = {aa, bb}, L₂ = {A, a, aa}, L3 = {x | x = {a,b}* ^ |x| ≤ 3} = {A, a, b, aa, ab, ba, bb, aaa, aab, aba, abb, baa, bab, bba, bbb}. Evaluate: (L₁n L3) · L2 = •
TOPIC: MARKOV CHAINS A book club has 3 mailing lists: A special list M of the most senior active members. Another list R containing the regular members, and A list of regular members and names of individuals who have shown interest in club activities in the past. For each new publication, it is necessary to decide which list should be used to mail the sale announcements.sale.If after the last mailing there was a request for too few copies, the secretary uses list R with probabilityof ¼ and P with a probability of ¾.If after the last mailing there was a satisfactory response, the secretary uses the R list and the P list with equalprobabilities.If, after the preceding shipment, there was an excessive number of orders or over demand, the secretary uses list M with probability 1/3 and list P with probability ¾.list M with probability 1/3 and R with probability 2/3.If list M is used, there will be poor sales or satisfactory sales with equal probabilities; if list R is used, there will be…
9. of 40 Let R(A, B, C, D, E) be a relation with the set of FD's: F%3 {D — С, С — D, D —— A, C — А, Е — С, Е — А, Е — В, В —C). Which of the following statements is NOT correct? Select one: O G = {D– C, C → D, D → A, E → B, B → C} is a canonical cover (minimal basis) of F. O H= {D– C, C → D, C → A, E –→ B, B → C} is a canonical cover of F. O F is a canonical cover of itself. O Both G and H are canonical covers of F.
Multiple Linear Regression A nursing instructor wishes to see whether a student's grade point average and age are related to the student's score on the state board nursing examination. She selects five students and obtains the following data. Student A B D E GPAX₁ 3.2 2.7 2.5 3.4 2.2 Age x₂ 22 27 24 28 23 State board score y 550 570 525 670 490 My Solutions > a) Refer to fitlm. From its output, determine the b0, b1, and b2. Do not simply enter the values but work with objects in MATLAB. You can also search How to get the p-value as an output of fitlm on MATLAB Answers. b) Predict a student's state board score who has a GPA of 3.0 and who is 25 years old. The multiple regression equation is y = bo+b₁x₁ + b2x2. c) Obtain the Coefficient of Determination (R²) from fitlm's output. Check LinearModel. d) Obtain the F-statistic using coefTest. Its value must be the same as that of fitlm with some discrepancy due to rounding off.
If the levels of a factor (B) are not the same across the levels of a second factor (A) then factor B is said to be nested within factor A. True or false
Definition of 3SAT : In the 3SAT problem, the input is a Boolean expression formed by m clause and n variables (each variable x can have a positive literal x and negative literal x). Each clause formed by disjunction of threeliterals and the formula is formed by the conjunction of the m clauses. For example, the following formulais an instance of the 3SAT problem: (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3) ∧ (x1 ∨ x2 ∨ x3), which is formed by 3 variables x1, x2, x3 and three clauses. The objective is to find an assignment of Boolean values to variables to satisfy the formula. In the example above, one possible satisfying assignment is to let x1 to be false and x2, x3 to be true. Problem : A 2SAT formula is a conjunction of clauses like a 3SAT formula, except that each clause is a disjunction of 2 literals (rather than 3). For example (x1 ∨ x2) ∧ (x2 ∨ x3) ∧ (x3 ∨ x1) is a 2SAT formula.Use consistency model to provide a 2SAT formula consistent with the following labelled data (or specifythat…
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¬q → ¬ p is called ______ of p →q. (contrapositive, inverse)
14. Let R₁ and R₂ be relations on a set A represented by the matrices MRI 0 1 = 1 Find the matrices a) R₁ U R₂. d) R₁⁰ R₁. 0 1 1 00 and MR₂ that represent b) R₁ R₂. e) R₁ R₂. = 0 i 0 0 1 1 1 1 1 c) R₂0 R₁.

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