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- W4293753204 abstract "Abstract Inference is generally about drawing conclusions about the whole on the basis of a sample. Statistical inference is ‘the process of deducing properties of an underlying distribution by analysis of data’ (Zdeborová and Krzakala, 2016). More specifically, in statistical mechanics inference usually implies concluding characteristics of a statistical ensemble (or its model, which is practically the same) on the basis of a sample (Clauset, Moore, and Newman, 2006). Here we touch upon a more restricted problem. Consider a branching process taking place on a given graph, which started from some unknown initial vertex, a root. At some instant, an observer makes a snapshot of this process and records its result—a tree subgraph of the substrate graph. The questions are: is it possible to guess the root from this observation; and, when it is possible, what is the best root-finding algorithm? The answers to these questions depend on the branching process and on the substrate graph. Remarkably, root finding is possible for a wide range of branching processes and substrate graphs." @default.
- W4293753204 created "2022-08-31" @default.
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- W4293753204 date "2022-06-15" @default.
- W4293753204 modified "2023-09-30" @default.
- W4293753204 title "Inference and Reconstruction" @default.
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- W4293753204 doi "https://doi.org/10.1093/oso/9780199695119.003.0013" @default.
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