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On limit supremum of optimal type II error (Neyman-Pearson) under weak convergence

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#probability-theory #statistics
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What are the conditions for convergence for the following problem

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#probability-theory #convergence-divergence #parameter-estimation #bayes-theorem
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Creating 1-D random walks to have lengths equal to some observed distribution of path lengths.

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#probability #random-walk
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Definition of negatives in NT-Xent loss

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#machine-learning
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Optimizing Quadratic Likelihood

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#optimization #quadratic-programming
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What is the relationship between discrete data and infiniteness?

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#discrete-mathematics
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quadratic differential about the functioanl in nonlinear functional analysis

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#functional-analysis
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Real analysis / uniformly continuous

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#real-analysis #calculus #uniform-continuity
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Solution for a non-linear parabolic pde

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#parabolic-pde
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lagrange's mean value for smooth paramtric curves

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#vector-analysis #parametric
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confusion on the application of uniform boundedness principle: does $u_k\to u$ weakly imply that $u_k$ is uniformly bounded?

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#functional-analysis
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Optimization of numerical evaluation of Cauchy principal value

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#numerical-methods #cauchy-principal-value
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Theoretical guarantee of binary-relation-preserving embeddings

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#discrete-mathematics #clustering #dimensional-analysis #graph-embeddings
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Can the continuity correction when modelling non-integer values in discrete data be something other than .5?

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#normal-distribution
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Uniqueness of Markovian parents

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#probability

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