From 33c4f6605c542d1353da4a8e1f1abdf4406b85a5 Mon Sep 17 00:00:00 2001 From: Uzair Mohammed Date: Sun, 7 Apr 2024 23:16:01 -0700 Subject: [PATCH] Did most of HW3 --- hw3/bayesian_network_1_hw3.png | Bin 0 -> 42320 bytes hw3/bayesian_network_1_hw3.svg | 4 + hw3/data/family0.csv | 4 + hw3/data/family1.csv | 7 + hw3/data/family2.csv | 6 + hw3/heredity.py | 286 ++++++++++++++++++ hw3/hw3.pdf | Bin 0 -> 279719 bytes hw3/motorcade.png | Bin 0 -> 144191 bytes main.aux | 5 +- main.fdb_latexmk | 28 +- main.fls | 18 +- main.log | 48 ++- main.pdf | Bin 219801 -> 381374 bytes main.synctex.gz | Bin 48345 -> 65245 bytes main.tex | 538 +++++++++++++++++++++------------ 15 files changed, 717 insertions(+), 227 deletions(-) create mode 100644 hw3/bayesian_network_1_hw3.png create mode 100644 hw3/bayesian_network_1_hw3.svg create mode 100644 hw3/data/family0.csv create mode 100644 hw3/data/family1.csv create mode 100644 hw3/data/family2.csv create mode 100644 hw3/heredity.py create mode 100644 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\ No newline at end of file diff --git a/hw3/data/family0.csv b/hw3/data/family0.csv new file mode 100644 index 0000000..fa103d1 --- /dev/null +++ b/hw3/data/family0.csv @@ -0,0 +1,4 @@ +name,mother,father,trait +Harry,Lily,James, +James,,,1 +Lily,,,0 diff --git a/hw3/data/family1.csv b/hw3/data/family1.csv new file mode 100644 index 0000000..786b300 --- /dev/null +++ b/hw3/data/family1.csv @@ -0,0 +1,7 @@ +name,mother,father,trait +Arthur,,,0 +Charlie,Molly,Arthur,0 +Fred,Molly,Arthur,1 +Ginny,Molly,Arthur, +Molly,,,0 +Ron,Molly,Arthur, diff --git a/hw3/data/family2.csv b/hw3/data/family2.csv new file mode 100644 index 0000000..b609dc0 --- /dev/null +++ b/hw3/data/family2.csv @@ -0,0 +1,6 @@ +name,mother,father,trait +Arthur,,,0 +Hermione,,,0 +Molly,,, +Ron,Molly,Arthur,0 +Rose,Ron,Hermione,1 diff --git a/hw3/heredity.py b/hw3/heredity.py new file mode 100644 index 0000000..6469519 --- /dev/null +++ b/hw3/heredity.py @@ -0,0 +1,286 @@ +import csv +import itertools +import sys + +PROBS = { + + # Unconditional probabilities for having gene + "gene": { + 2: 0.01, + 1: 0.03, + 0: 0.96 + }, + + "trait": { + + # Probability of trait given two copies of gene + 2: { + True: 0.65, + False: 0.35 + }, + + # Probability of trait given one copy of gene + 1: { + True: 0.56, + False: 0.44 + }, + + # Probability of trait given no gene + 0: { + True: 0.01, + False: 0.99 + } + }, + + # Mutation probability + "mutation": 0.01 +} + + +def main(): + + # Check for proper usage + if len(sys.argv) != 2: + sys.exit("Usage: python heredity.py data.csv") + people = load_data(sys.argv[1]) + + # Keep track of gene and trait probabilities for each person + probabilities = { + person: { + "gene": { + 2: 0, + 1: 0, + 0: 0 + }, + "trait": { + True: 0, + False: 0 + } + } + for person in people + } + + # Loop over all sets of people who might have the trait + names = set(people) + for have_trait in powerset(names): + + # Check if current set of people violates known information + fails_evidence = any( + (people[person]["trait"] is not None and + people[person]["trait"] != (person in have_trait)) + for person in names + ) + if fails_evidence: + continue + + # Loop over all sets of people who might have the gene + for one_gene in powerset(names): + for two_genes in powerset(names - one_gene): + + # Update probabilities with new joint probability + p = joint_probability(people, one_gene, two_genes, have_trait) + update(probabilities, one_gene, two_genes, have_trait, p) + + # Ensure probabilities sum to 1 + normalize(probabilities) + + # Print results + for person in people: + print(f"{person}:") + for field in probabilities[person]: + print(f" {field.capitalize()}:") + for value in probabilities[person][field]: + p = probabilities[person][field][value] + print(f" {value}: {p:.4f}") + + +def load_data(filename): + """ + Load gene and trait data from a file into a dictionary. + File assumed to be a CSV containing fields name, mother, father, trait. + mother, father must both be blank, or both be valid names in the CSV. + trait should be 0 or 1 if trait is known, blank otherwise. + """ + data = dict() + with open(filename) as f: + reader = csv.DictReader(f) + for row in reader: + name = row["name"] + data[name] = { + "name": name, + "mother": row["mother"] or None, + "father": row["father"] or None, + "trait": (True if row["trait"] == "1" else + False if row["trait"] == "0" else None) + } + return data + + +def powerset(s): + """ + Return a list of all possible subsets of set s. + """ + s = list(s) + return [ + set(s) for s in itertools.chain.from_iterable( + itertools.combinations(s, r) for r in range(len(s) + 1) + ) + ] + + +def joint_probability(people, one_gene, two_genes, have_trait): + """ + Compute and return a joint probability. + + Args: + - people is a dictionary of people. The keys represent names, and + the values are dictionaries that contain mother and father keys. + You may assume that either mother and father are both blank (no + parental information in the data set), or mother and father will + both refer to other people in the people dictionary. + - one_gene is a set of all people for whom we want to compute the + probability that they have one copy of the gene. + - two_genes is a set of all people for whom we want to compute the + probability that they have two copies of the gene. + - have_trait is a set of all people for whom we want to compute the + probability that they have the trait. + + The probability returned should be the probability that + - everyone in set `one_gene` has one copy of the gene, and + - everyone in set `two_genes` has two copies of the gene, and + - everyone not in `one_gene` or `two_gene` does not have the gene, and + - everyone in set `have_trait` has the trait, and + - everyone not in set` have_trait` does not have the trait. + + and trait = {"Harry", "James"} should calculate the probability that + Lily has zero copies of the gene, Harry has one copy of the gene, + James has two copies of the gene, Harry exhibits the trait, James + exhibits the trait, and Lily does not exhibit the trait. + + For anyone with no parents listed in the data set, use the probability + distribution PROBS["gene"] to determine the probability that they have + a particular number of the gene. + + For anyone with parents in the data set, each parent will pass one of + their two genes on to their child randomly, and there is a + PROBS["mutation"] chance that it mutates (goes from being the gene to not + being the gene, or vice versa). + + Use the probability distribution PROBS["trait"] to compute the probability + that a person does or does not have a particular trait. + """ + probability = 1 + + for person in people: + # Check if the person has one copy of the gene + if person in one_gene: + # Calculate the probability of having one copy of the gene + gene_prob = PROBS["gene"][1] + # Check if the person has two copies of the gene + elif person in two_genes: + # Calculate the probability of having two copies of the gene + gene_prob = PROBS["gene"][2] + else: + # Calculate the probability of not having the gene + gene_prob = PROBS["gene"][0] + + # Check if the person has the trait + if person in have_trait: + # Calculate the probability of having the trait + trait_prob = PROBS["trait"][gene_prob][True] + else: + # Calculate the probability of not having the trait + trait_prob = PROBS["trait"][gene_prob][False] + + # Multiply the gene and trait probabilities + probability *= gene_prob * trait_prob + + return probability + + + +def update(probabilities, one_gene, two_genes, have_trait, p): + """ + Add to `probabilities` a new joint probability `p`. + Each person should have their "gene" and "trait" distributions updated. + Which value for each distribution is updated depends on whether + the person is in `have_gene` and `have_trait`, respectively. + + Args: + - probabilities is a dictionary of people. Each person is mapped to a + "gene" distribution and a "trait" distribution. + - one_gene is a set of people with one copy of the gene in the current + joint distribution. + - two_genes is a set of people with two copies of the gene in the + current joint distribution. + - have_trait is a set of people with the trait in the current joint + distribution. + - p is the probability of the joint distribution. + + For each person person in `probabilities`, the function should update + the probabilities[person]["gene"] distribution and probabilities[person]["trait"] + distribution by adding p to the appropriate value in each distribution. + All other values should be left unchanged. + + For example, if "Harry" were in both two_genes and in have_trait, then p would + be added to probabilities["Harry"]["gene"][2] and to + probabilities["Harry"]["trait"][True]. + + The function should not return any value: it just needs to update the + probabilities dictionary. + """ + + for person in probabilities: + if person in one_gene: + probabilities[person]["gene"][1] += p + elif person in two_genes: + probabilities[person]["gene"][2] += p + else: + probabilities[person]["gene"][0] += p + + if person in have_trait: + probabilities[person]["trait"][True] += p + else: + probabilities[person]["trait"][False] += p + + +def normalize(probabilities): + """ + Update `probabilities` such that each probability distribution + is normalized (i.e., sums to 1, with relative proportions the same). + + Args: + - probabilities is a dictionary of people. Each person is mapped to a + "gene" distribution and a "trait" distribution. + + For both of the distributions for each person in probabilities, this + function should normalize that distribution so that the values in the + distribution sum to 1, and the relative values in the distribution are the same. + + For example, if probabilities["Harry"]["trait"][True] were equal to 0.1 and + probabilities["Harry"]["trait"][False] were equal to 0.3, then your function + should update the former value to be 0.25 and the latter value to be 0.75: the + numbers now sum to 1, and the latter value is still three times larger than + the former value. + + The function should not return any value: it just needs to update the + probabilities dictionary. + """ + + for person in probabilities: + # Calculate the sum of the gene probabilities + gene_sum = sum(probabilities[person]["gene"].values()) + # Calculate the sum of the trait probabilities + trait_sum = sum(probabilities[person]["trait"].values()) + + # Normalize the gene probabilities + for gene in probabilities[person]["gene"]: + probabilities[person]["gene"][gene] /= gene_sum + + # Normalize the trait probabilities + for trait in probabilities[person]["trait"]: + probabilities[person]["trait"][trait] /= trait_sum + + +if __name__ == "__main__": + main() diff --git a/hw3/hw3.pdf b/hw3/hw3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..013f10af7317410df9ac871cf024ebf1ecd8e0d0 GIT binary patch literal 279719 zcmeFYWmH_v_ccf$KyZR{j&JZz~2 zxu`j1>>NC-+~8*iGY=~%D+^~!_*MU&)y&)+-KqZpLDJd5)6vQOpDwAnSy|dycsRRJ z1GwScqUO~32MB5&_z#YPypyGsH@pIlfFS?B71qwwaJ;yvLDZZeXJ-#MUjG&};FwYa z00RGM((7NKfd4BvobpoC1|mEbe0*F03oBkTeoH<g=WnI3m*KEO#R)0Sl19&inSf3Y#uqGIEor{hZ}DhJBt{@94coW zz%}%Sv5Qr2lr)XxB{dK=bF@=H0UHMoVGa>X@E;@p*F*mIoBMyo?*A|Ue**#Z|9I4Y z<0}<2M=N)@U-AFzWvVV#P9H5i?3|sbfx!Q&^7L?kliEKQas6APW@clh{2#~Ha<@|b zZ+~39F6u!9WK%v2r1$YdZt@>D;urPrV%JbfNK(*Uw2hgM>`l^V zR%Y@AAuioGV^N8I3JzGGouacpfRJGW6P^A+;%U~VxG3cMNR~Wv4%LsHqy-PA%9>NO 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LaTeX Info: Redefining \[ on input line 2953. LaTeX Info: Redefining \] on input line 2954. ) (C:\Users\uzair\AppData\Local\Programs\MiKTeX\tex/latex/mathtools\mathtools.sty -Package: mathtools 2022/06/29 v1.29 mathematical typesetting tools +Package: mathtools 2024/03/11 v1.30 mathematical typesetting tools (C:\Users\uzair\AppData\Local\Programs\MiKTeX\tex/latex/graphics\keyval.sty Package: keyval 2022/05/29 v1.15 key=value parser (DPC) \KV@toks@=\toks22 @@ -130,7 +130,7 @@ LaTeX Font Info: Redeclaring math symbol \hbar on input line 98. 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