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Randomness with respect to c.e.semimeasures
No full textWe study algorithmic randomness with respect to c.e. semimeasures, which naturally arise as pushforward measures of partial computable mappings and therefore play a crucial role in algorithmic randomness. We consider four distinct randomness notions: three based on complexity and one based on tests. We systematically clarify their inclusion relationships. Our main contribution is to construct concrete examples that separate these notions.Furthermore, we investigate how they interact with the classical randomness preservation and no-randomness-from-nothing theorems, identifying precise conditions under which they continue to hold.This article is the accepted version of "Information and Computation".journal articl
法学部で英語？Asimow＆Silbey，eds．Law and Popular Culture -A Course Book（Vandeplas，2020）とESP-
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The Role of University Law Faculties in Legal Education in England and the Internationalisation of Legal Education
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A British Imperial Legacy and the Anglo American Alliance in the Early Cold War -The British Imperial Influence as a Strategic Resource in the US Containment Policy-
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Epigenome editing-mediated restoration of FBN1 expression by demethylation of CpG island shore in porcine fibroblasts
No full textFibrillin-1, an extracellular matrix protein encoded by the FBN1 gene, is crucial for maintaining connective tissue integrity. Mutations in FBN1 result in haploinsufficiency, leading to Marfan syndrome, in which the expression of functional FBN1 is correlated with disease onset and severity. Recent studies suggest that FBN1 expression is modulated by DNA methylation, particularly within the CpG island shores of its promoter region. In porcine models, FBN1 mRNA levels have been found to correlate with the proportion of hypomethylated alleles in the CpG island shore region. In this study, we employed epigenome editing using the dCas9-TET1 system to induce targeted DNA demethylation within the FBN1 CpG island shore, which became hypermethylated after a prolonged culture of porcine fetal fibroblast cells. This approach effectively reduced methylation in the targeted region, and cells expressing the dCas9-TET1 system maintained hypomethylation across multiple passages. Critically, DNA demethylation of the FBN1 CpG island shore restored FBN1 expression in heterozygous FBN1 knockout fibroblasts, which developed stochastic hypermethylation after extended culture. These findings highlight the potential of DNA methylation manipulation to restore FBN1 expression in cells with a haploinsufficient genetic background.journal articl
RATE OF CONVERGENCE OF COMPUTABLE PREDICTIONS
No full textWe consider the problem of predicting the next bit in an infinite binary sequence sampled from the Cantor space with an unknown computable measure. We propose a new theoretical framework to investigate the properties of good computable predictions, focusing on such predictions’ convergence rate. Since no computable prediction can be the best, we first define a better prediction as one that dominates the other measure. We then prove that this is equivalent to the condition that the sum of the KL divergence errors of its predictions is smaller than that of the other prediction for more computable measures. We call that such a computable prediction is more general than the other. We further show that the sum of any sufficiently general prediction errors is a finite left-c.e. Martin-L¨of random real. This means the errors converge to zero more slowly than any computable function.This article is the accepted version of "The Journal of Symbolic Logic".journal articl