@article{VasishthMertzenJaegeretal.2018,
  author    = {Vasishth, Shravan and Mertzen, Daniela and Jaeger, Lena A. and Gelman, Andrew},
  title     = {The statistical significance filter leads to overoptimistic expectations of replicability},
  series = {Journal of memory and language},
  volume    = {103},
  journal   = {Journal of memory and language},
  publisher = {Elsevier},
  address   = {San Diego},
  issn      = {0749-596X},
  doi       = {10.1016/j.jml.2018.07.004},
  pages     = {151 -- 175},
  year      = {2018},
  abstract  = {It is well-known in statistics (e.g., Gelman \& Carlin, 2014) that treating a result as publishable just because the p-value is less than 0.05 leads to overoptimistic expectations of replicability. These effects get published, leading to an overconfident belief in replicability. We demonstrate the adverse consequences of this statistical significance filter by conducting seven direct replication attempts (268 participants in total) of a recent paper (Levy \& Keller, 2013). We show that the published claims are so noisy that even non-significant results are fully compatible with them. We also demonstrate the contrast between such small-sample studies and a larger-sample study; the latter generally yields a less noisy estimate but also a smaller effect magnitude, which looks less compelling but is more realistic. We reiterate several suggestions from the methodology literature for improving current practices.},
  language  = {en}
}
@article{ClavierGuoPaychaetal.2019,
  author    = {Clavier, Pierre J. and Guo, Li and Paycha, Sylvie and Zhang, Bin},
  title     = {An algebraic formulation of the locality principle in renormalisation},
  series = {European Journal of Mathematics},
  volume    = {5},
  journal   = {European Journal of Mathematics},
  number    = {2},
  publisher = {Springer},
  address   = {Cham},
  issn      = {2199-675X},
  doi       = {10.1007/s40879-018-0255-8},
  pages     = {356 -- 394},
  year      = {2019},
  abstract  = {We study the mathematical structure underlying the concept of locality which lies at the heart of classical and quantum field theory, and develop a machinery used to preserve locality during the renormalisation procedure. Viewing renormalisation in the framework of Connes and Kreimer as the algebraic Birkhoff factorisation of characters on a Hopf algebra with values in a Rota-Baxter algebra, we build locality variants of these algebraic structures, leading to a locality variant of the algebraic Birkhoff factorisation. This provides an algebraic formulation of the conservation of locality while renormalising. As an application in the context of the Euler-Maclaurin formula on lattice cones, we renormalise the exponential generating function which sums over the lattice points in a lattice cone. As a consequence, for a suitable multivariate regularisation, renormalisation from the algebraic Birkhoff factorisation amounts to composition by a projection onto holomorphic multivariate germs.},
  language  = {en}
}