Blyth Institute Press
Not a member yet
90 research outputs found
Sort by
Improving XGBoost with Imagination Sampling
No full textImagination Sampling is the usage of a person as an oracle for generating or improving machine learning models. Previous work demonstrated a general system for using Imagination Sampling for obtaining multibox models. Here, the possibility of importing such models as the starting point for further automatic enhancement is explored
Hyperreal Numbers for Infinite Divergent Series
Full text linkTreating divergent series properly has been an ongoing issue in mathematics. However, many of the problems in divergent series stem from the fact that divergent series were discovered prior to having a number system which could handle them. The infinities that resulted from divergent series led to contradictions within the real number system, but these contradictions are largely alleviated with the hyperreal number system. Hyperreal numbers provide a framework for dealing with divergent series in a more comprehensive and tractable way.
An unreviewed update/correction to Section 11.2 of this paper is available here
You Cannot Get Meaning From Randomness
No full textThis letter talks about meaning, its relationship to mutual information, and its destruction by random forces
Independence Conservation and Evolutionary Algorithms
Full text linkLeonid Levin developed the first stochastic conservation of information law, describing it as "torturing an uninformed witness cannot give information about the crime." Levin's law unifies both the deterministic and stochastic cases of conservation of information. A proof of Levin's law from Algorithmic Information Theory is given as well as a discussion of its implications in evolutionary algorithms and fitness functions
Active Information is a Specified Complexity Model
No full textThis letter provides a proof that Active Information and Generalized Information are both Specified Complexity models, and therefore the mathematics of Specified Complexity can be used to analyze them both
Is Active Information Applicable to Biology?
Full text linkThis letter is a follow up of a recently published paper by the author, responding to various feedback he has received
Metaphor and Meaning in the Teleological Language of Biology
Full text linkIn the early twentieth century, neo-Darwinian evolutionary theory replaced traditional teleological causality as the accepted explanatory basis for biology. Yet, despite this rejection of teleology, biologists continue to resort to the language of purpose and design in order to define function, explain physiological processes, and describe behavior. The legitimacy of such teleological language is currently debated among biologists and philosophers of science. Many biologists and educators argue that teleological language can function as a type of convenient short-hand for describing function while some argue that such language contradicts the fundamentally ateleological nature of evolutionary theory. Others, such as Ernst Mayr, have attempted to redefine teleologyin such a way as to evade any metaphysical implications. However, most discussions regarding the legitimacy of teleological language in biology fail to consider the nature of language itself. Since conceptual language is intrinsically metaphorical, teleological language can be dismissed as decorative if and only if it can be replaced with alternative metaphors without loss of essential meaning. I conclude that, since teleological concepts cannot be abstracted away from biological explanations without loss of meaning and explanatory power, life is inherently teleological. It is the teleological character of life which makes it a unique phenomenon requiring a unique discipline of study distinct from physics or chemistry
Divergent Series and Its Assigned Value in a Hyperreal Context
Full text linkThis letter discusses the deep connection between the infinite sum of natural numbers and the value -1/12. Aside of more widely known facts, we consider a nontrivial way in which we show the veracity of this connection; more precisely this concerns the BGN method \citep{bgn} applied on the so-called damped oscillated Abel summed variant of the series. Moreover, we have found a generalization of this method which `correctly' assigns finite values to other divergent series. We conclude with some questions concerning whether and how we can analytically relate our hyperreal terms to frame the method in a more justifiable and applicable context