# Questions tagged [logic]

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### Softened logical implication using statistics

In a machine learning application, I have the following boolean implications $$\forall\,x,y:I_b(x,y)\rightarrow E_b(x,y),$$ where $I_b(x,y)$ being true means $x$ and $y$ are isomorphic, and $E_b(x,y)$ ...
60 views

### "Successful projects share the same 5 keys qualities. In each quality our project achieves over average score". What can we conclude about this?

I'm not sure if this is a statistical problem, but I suppose it's a frequent problem involving using statistics, so I ask here anyway. Hope it's on-topic. From the book Smart Pricing: How Google, ...
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65 views

### Probability of two equivalent statements

Let A and B be two statements such that A is satisfied if, and only if, B is satisfied. Can we then say Pr{A} = Pr{B}?
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55 views

### Which groups/time periods to compare in staggered Difference in Difference (DiD) with unit and time fixed effect logistic regression model?

I am trying to build a logistic regression with staggered DiD (for not yet treated) that incoporates unit and time fixed effect. I am stuck with the logic of building the model as I am trying to ...
25 views

### Symbolic knowledge (First-order Logic) as priors in the Bayesian deep learning

In Bayesian learning, priors play an important role. As per my understanding, most of the priors are statistical, and they used mean and variance value as prior. Then deep learning model uses the ...
23 views

### In a specifically ordered set of binary data (ones and zeros), how can you organize them in patterns and from there build a probabilistic network? [duplicate]

So I have a set of 1s and 0s. They are listed in a column on excel. They are listed in a specific order. I do not wish to change their order. So they appear as (1, 0, 1, 0, 0, 1 and so on... 0). Here ...
24 views

### A question about the interpretation of a certain probability about bounds of polynomials

Consider a polynomial $p(z)= \sum_0^n a_i z^i.$ In the literature there are numerous bounds about the roots of $p(z)$.Now once we prescribe certain dsitribution to the coefficients ,the bound itself ...
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27 views

### Independence, correlation and logical implication [duplicate]

Two random independent variables ($P$: "two variables are independent") are uncorrelated ($Q$: "two variables - the same two involved in sentence $P$ - are uncorrelated"), or using ...
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1 vote
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### Relationship between categorical factors

I am not sure what this is called in English, but if we have two categorical factors, we can say that one of them (A) is finer than the other (B) if it holds true that if two observations belong to ...
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700 views

### How to design a fitness function for binary logic network?

Assume we have a directed graph of connected nodes, where each node represents a logical operator. Input for this logic operator are values on all edges leading to the node and the result is outputted ...
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