Author Archives: randomprojection
Balance theory
In numerous contexts of our lives, specific dyadic interactions are characterized as “negative,” a term I use advisedly given its imprecise definition. To illustrate, consider one’s ego-centric networks, which are essentially the subgraphs formed by oneself and one’s immediate social connections. Within these networks, it is likely to identify relationships that are particularly favorable—these can […]
Sampling from the simplex
How do we sample uniformly at random from the unit dimensional simplex? It turns out there is an easy way to do it: generate i.i.d. uniform variables in [0,1] and let denote the k-th smallest among them. Then, is a desired sample from the unit simplex . It is straight-forward to prove now the […]
Moving Forward: My Farewell to BU
As I bid farewell to Boston University, a place that has been my academic home over these past years, I am filled with a mix of emotions. The years since I started at BU and became a father have truly flown by. My tenure at BU, while challenging due to serious personal circumstances, has been […]
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