D
Deleted member 55855
Light triad hopecel
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- Dec 18, 2023
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I just got another F and im getting a D on my report card, im fucked
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I already got a D so I can't change it, gotta lock in in sophomore yearlock in and spend sometime on it if you wanna get good
Do you not undrstand the concepts?I already got a D so I can't change it, gotta lock in in sophomore year
No, i genuinely don't care, but i gotta get decent gradesDo you not undrstand the concepts?
Then failNo, i genuinely don't care, but i gotta get decent grades
Fr bro, seriously when the fuck am i gonna use quadratic equationskeep doing that over and over you don't have to love math honestly i fucking hate math
in a lot of jobs actually but like with ai its useless now just get the robotic nigga to do it for uFr bro, seriously when the fuck am i gonna use quadratic equations
Baldwin Pfp yet no compassion to others .Peak autismin my school if anyone dies, has a seizure, gets badly sick, fire alarm, intruder or anything that will distract the class from taking the exam
I can feel the future job applications already. Eternal Wageslavemaxxing will go crazyignore above ape ^^^
exercise. if you get the basic of a concept you gotta exercise.
I used to look up exercices online on the topic we would study you can do that if you want but now you can use AI for that.
Here is an example of a conversation with GPT-4o that generted exercices that I do and then corrects me if i'm wrong so I can improve:
> generate about 15 exercices exercises of varying difficulty on: entropy calculation optimization (you will generate actual exercices that I need to complete in order to improve)
> Certainly! Here are 15 exercises on entropy calculation optimization, designed to help you improve your understanding and skills in this area. The exercises range from basic concepts to more advanced applications.
Beginner Level
- Basic Entropy Calculation:
- Given a probability distribution [0.1,0.3,0.4,0.2][0.1, 0.3, 0.4, 0.2][0.1,0.3,0.4,0.2], calculate the Shannon entropy.
- Verify your result using a Python function.
- Binary Entropy Function:
- Write a Python function that takes a probability ppp and returns the entropy of a binary variable with probabilities ppp and 1−p1-p1−p.
- Plot the entropy as ppp varies from 0 to 1.
- Entropy of Text:
- Write a program to read a text file and compute the entropy of the characters in the file.
- Compare the entropies of different text files.
Intermediate Level
- Joint Entropy:
- Given the joint probability distribution of two discrete random variables(X,Y)=(0.10.20.10.10.30.2)P(X, Y) = \begin{pmatrix}0.1 & 0.2 & 0.1 \\0.1 & 0.3 & 0.2\end{pmatrix}P(X,Y)=(0.10.10.20.30.10.2)calculate the joint entropy H(X,Y)H(X, Y)H(X,Y).
- Conditional Entropy:
- For the same joint distribution in Exercise 4, calculate the conditional entropy H(Y∣X)H(Y|X)H(Y∣X).
- Cross-Entropy Loss Implementation:
- Implement the cross-entropy loss function for a binary classification problem.
- Use your implementation to calculate the loss for a small dataset of your choice.
- Information Gain in Decision Trees:
- Write a function to calculate the information gain for a given split in a decision tree.
- Apply your function to a small dataset and determine the best split based on information gain.
- Kullback-Leibler Divergence:
- Given two probability distributions P=[0.4,0.6]P = [0.4, 0.6]P=[0.4,0.6] and Q=[0.5,0.5]Q = [0.5, 0.5]Q=[0.5,0.5], calculate the Kullback-Leibler divergence DKL(P∣∣Q)D_{KL}(P||Q)DKL(P∣∣Q).
Advanced Level
These exercises should provide a comprehensive set of tasks to deepen your understanding and skills in entropy calculation and optimization.
- Maximum Entropy Distribution:
- Given constraints that the mean of a distribution is 3 and the variance is 2, derive the maximum entropy distribution.
- Implement a numerical method to verify your result.
- Entropy Rate of a Markov Chain:
- Consider a Markov chain with states S={1,2}S = \{1, 2\}S={1,2} and transition matrix=(0.70.30.40.6)P = \begin{pmatrix}0.7 & 0.3 \\0.4 & 0.6\end{pmatrix}P=(0.70.40.30.6)Calculate the entropy rate of this Markov chain.
- Entropy in Image Compression:
- Write a program to compute the entropy of an image's pixel intensity distribution.
- Compare the entropy of different images and discuss the implications for image compression.
- Mutual Information:
- Given the joint probability distribution(X,Y)=(0.10.30.20.4)P(X, Y) = \begin{pmatrix}0.1 & 0.3 \\0.2 & 0.4\end{pmatrix}P(X,Y)=(0.10.20.30.4)calculate the mutual information I(X;Y)I(X;Y)I(X;Y).
- Entropy Optimization in Neural Networks:
- Implement an entropy-based regularization term in the loss function of a neural network.
- Train the network on a small dataset and analyze the impact of this regularization on the model's performance.
- Differential Entropy Calculation:
- For a continuous random variable with probability density function f(x)=e−xf(x) = e^{-x}f(x)=e−x for x≥0x \geq 0x≥0, calculate the differential entropy.
- Entropy-Based Clustering:
- Implement an entropy-based method for clustering a dataset.
- Apply your method to a synthetic dataset and evaluate the quality of the clusters.
as you can see it gives solid exercices so you can train whatever chapter you're on
keep doing that over and over you don't have to love math honestly i fucking hate math
Igin a lot of jobs actually but like with ai its useless now just get the robotic nigga to do it for u
Low iqI just got another F and im getting a D on my report card, im fucked
Math is probably the only useful shit in schoolFr bro, seriously when the fuck am i gonna use quadratic equations