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an unsupervised learning problem. It deals with finding "clusters" or groups in a collection of unlabeled data. A cluster is therefore a collection of objects which are “similar” and ar…
an NP-hard problem in combinatorial optimization studied in operations research and theoretical computer science. Given a list of cities and their pairwise dis…
a procedure that can apply generically to many problems (for example gradient descent, alternating optimization, simulated annealing) but will typically not have formal guarantees assoc…
Descriptive complexity classifies problems based on how hard it is to express the problem in some logical formalism.
the study of systems that operate simultaneously. For example given a set of elevators and a pool of people who want to go to various floors. An example of a concurrent system would be …
Questions about the theory of regular expressions, both in the sense of Kleene's original definition and of POSIX regular expressions.
a binary relation over a set which is reflexive, antisymmetric, and transitive.
a sparse (low degree) graph with high "expansion," measured in one of several ways; typically akin to the minimum ratio of the size of a subgraph boundary to the subgraph's volume.
questions about attaining and maintaining a career in fields related to theoretical computer science
the proving of mathematical theorems by a computer program.
VC-dimension (after Vapnik and Chervonenkis) is a measure of the power of a set of shapes (ranges) to realize subsets of points. VC-dimension is a vital analysis tool in the fields of machine learning…