The Braess Paradox is Alive and Well in the Streets of New York City
The Braess paradox states that adding a new strategy to a game can make everyone worse off. From this paradox, we discern that building new roads can increase congestion and removing existing roads can decrease traffic. The logic behind the paradox is similar to the Tragedy of the Commons – individuals act in their best […]
Distinguishing Informational Cascades from Herd Behavior using Bayesian rationality
People are social animals, and a lot of times our behavior is influenced by the decisions of others, consciously or unconsciously. Two phenomena that illustrate this are information cascade and herd behavior. Information cascade forms when people make decisions sequentially. When later people watch the actions of earlier people, they make inferences based on their actions. […]
Bayes Theorem in Machine Learning
https://www.jigsawacademy.com/blogs/ai-ml/bayes-theorem-in-machine-learning One application of Bayes theorem we have discussed are in the medical field, where we can use the theorem to calculate the probability that a result is correct, if we know the probabilities of getting a false result, and some other statistic we are interested in. However, Bayes theorem is not just limited to […]
PageRank as a Discrete Dynamical System
In my last blog post, I discussed graphs as adjacency matrices, and how matrix multiplication can be used to count the number of connected components in a graph. As a refresher for matrix multiplication and adjacency matrices: https://blogs.cornell.edu/info2040/2022/09/03/graphs-as-adjacency-matrices/ In this post, I wanted to extend matrix multiplication to applications within the PageRank algorithm. As a […]
Networks Analysis of The Real Neural Networks
In analyzing cerebral networks, there has been an attempt to quantify the relationship between neurons, a fact that is very difficult to discern, based on the correlation of brain activity of groups of neurons, a property that can be measured using brain imaging techniques such as functional Magnetic Resonance Imaging (fMRI). Measures such as functional […]
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