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Someone once recommended "Infinite Dimensional Analysis: A Hitchhiker's Guide" by Aliprantis and Border, with the claim that "solving problems in high dimension
by jleader 16y ago
Someone once recommended "Infinite Dimensional Analysis: A Hitchhiker's Guide" by Aliprantis and Border, with the claim that "solving problems in high dimensions can be approximated by assuming infinite dimensions". I haven't yet summoned up the mathematical guts to dig into it myself.
- srean 16y agoInfinite dimensional analysis is essentially functional analysis. A crude analogy is that a function is an infinite dimensional vector [...f(0),f(0+epsilon),...] so on. Although extremely interesting in its own right, this approach however will not give you a handle on how the behavior changes as the dimensionality grows.