# cost function for logistic regression

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### ML | Cost function in Logistic Regression – GeeksforGeeks

https://www.geeksforgeeks.org/ml-cost-function-in-logistic-regression

May 06, 2019 · So, for Logistic Regression the cost function is If y = 1 Cost = 0 if y = 1, h θ (x) = 1 But as, h θ (x) -> 0 Cost -> Infinity If y = 0 So, To fit parameter θ, J (θ) has to be minimized and for that Gradient Descent is required. Gradient Descent – Looks similar to that of Linear Regression but the difference lies in the hypothesis h θ (x)

### The cost function in logistic regression – Internal Pointers

https://www.internalpointers.com/post/costfunctionlogistic-regression

Logistic regression cost function For logistic regression, the [texi]\mathrm{Cost}[texi] function is defined as: [tex] \mathrm{Cost}(h_\theta(x),y) = \begin{cases} -\log(h_\theta(x)) & \text{if y = 1} \\ -\log(1-h_\theta(x)) & \text{if y = 0} \end{cases} [tex] The …

### Cost Function in Logistic Regression – Nucleusbox

https://www.nucleusbox.com/costfunction-in-logisticregression

Jun 13, 2020 · logistic regression cost function. Choosing this cost function is a great idea for logistic regression. Because Maximum likelihood estimation is an idea in statistics to finds efficient parameter data for different models. And it has also the properties that are convex in nature. Gradient Descent. Now we can reduce this cost function using gradient descent.

### Cost Function in Logistic Regression | by Brijesh Singh …

https://medium.com/analytics-vidhya/cost-function

Jun 19, 2021 · In the Logistic regression model the value of classier lies between 0 to 1. So to establish the hypothesis we also found the Sigmoid function or …

### Log Loss – Logistic Regression’s Cost Function for Beginners

https://www.analyticsvidhya.com/blog/2020/11/…

Nov 09, 2020 · The cost function used in Logistic Regression is Log Loss. What is Log Loss? Log Loss is the most important classification metric based on probabilities. It’s hard to interpret raw log-loss values, but log-loss is still a good metric for comparing models. For any given problem, a lower log loss value means better predictions.

### machine learning – Cost function for logistic regression …

https://stackoverflow.com/questions/70935019/cost

Jan 31, 2022 · Cost function in logistic regression gives NaN as a result. 2. Doing Andrew Ng’s Logistic Regression execrise without fminunc. 1. Logistic regression cost change turns constant. 0. Cost function of logistic regression outputs NaN for some values of theta. 0. Plotting decision boundary in logistic regression. 0.

### How is the cost function from Logistic Regression …

https://stats.stackexchange.com/questions/278771

May 11, 2017 · How is the cost function from Logistic Regression differentiated. Ask Question Asked 4 years, 9 months ago. Active 7 months ago. Viewed 54k times 38 40 $\begingroup$ I am doing the Machine Learning Stanford course on Coursera. In the chapter on Logistic Regression, the cost function is this: …

### derivative of cost function for Logistic Regression

https://math.stackexchange.com/questions/477207

Plug (5) in (4): ∂ ∂θjJ(θ) = − 1 m m ∑ i = 1[ yi hθ(xi) − (1 − yi) 1 − hθ(xi)] ∗ [hθ(xi) ∗ (1 − hθ(xi)) ∗ xij] Applying some algebra and solving subtraction: ∂ ∂θjJ(θ) = 1 m m ∑ i = 1(hθ(xi) − yi)xij. There is a 1 / m factor missing on your expected answer. Hope this helps. Share.

### Python implementation of cost function in logistic …

https://datascience.stackexchange.com/questions/22470

Aug 22, 2017 · cost = -1/m * np.sum (Y * np.log (A) + (1-Y) * (np.log (1-A))) But for example this expression (the first one – the derivative of J with respect to w) ∂ J ∂ w = 1 m X ( A − Y) T ∂ J ∂ b = 1 m ∑ i = 1 m ( a ( i) − y ( i)) is dw = 1/m * np.dot (X, dz.T)

### Two different cost in Logistic Regression cost function

https://stackoverflow.com/questions/54258799

Jan 17, 2019 · I am writing the code of cost function in logistic regression. def computeCost (X,y,theta): J = ( (np.sum (-y*np.log (sigmoid (np.dot (X,theta)))- (1-y)* (np.log (1-sigmoid (np.dot (X,theta))))))/m) return J. Here My X is the training set matrix, y is the output. the shape of X is (100,3) and shape of y is (100,) as determined by shape attribute of numpy library. my …