Sequential Decisions from Sampling: Inductive Generation of Stopping Decisions Using Instance-Based Learning Theory

Sequential decisions from sampling are common in daily life: we often explore alternatives sequentially, decide when to stop such exploration process, and use the experience acquired during sampling to make a choice for what is expected to be the best option. In decisions from experience, theories of sampling and experiential choice are unable to explain the decision of when to stop the sequential exploration of alternatives. In this chapter, we propose a mechanism to inductively generate stopping decisions, and we demonstrate its plausibility in a large and diverse human data set of the binary choice sampling paradigm. Our proposed stopping mechanism relies on the choice process of a theory of experiential choice, Instance-Based Learning Theory (IBLT). The new stopping mechanism tracks the relative prediction errors of the two options during sampling, and stops when such difference is close to zero. Our results from simulation are able to accurately predict human stopping decisions distributions in the dataset. This model provides an integrated theoretical account of decisions from experience, where the stopping decisions are generated inductively from the sampling process.

QUANTUM INCREASING SEQUENCES GENERATE QUANTUM PERMUTATION GROUPS

We answer a question of Skalski and Sołan (2016) about inner faithfulness of the Curran’s map of extending a quantum increasing sequence to a quantum permutation. Roughly speaking, we find a inductive setting in which the inner faithfulness of Curran’s map can be boiled down to inner faithfulness of similar map for smaller algebras and then rely on inductive generation result for quantum permutation groups of Brannan, Chirvasitu and Freslon (2018).

Design and Analysis High Gain PHEMT LNA for Wireless Application at 5.8 GHz

This research present a design of a higher gain (66.38dB) for PHEMT LNA using an inductive drain feedback technique for wireless application at 5.8GHz. The amplifier it is implemented using PHEMT FHX76LP transistor devices. The designed circuit is simulated with Ansoft Designer SV. The LNA was designed using T-network as a matching technique was used at the input and output terminal, inductive generation to the source and an inductive drain feedback. The low noise amplifier (LNA) using lumped-component provides a noise figure 0.64 dB and a gain (S₂₁) of 68.94 dB. The output reflection (S₂₂), input reflection (S₁₁) and return loss (S₁₂) are -17.37 dB, -15.77 dB and -88.39 dB respectively. The measurement shows the stability was at 4.54 and 3-dB bandwidth of 1.72 GHz. While, the low noise amplifier (LNA) using Murata manufactured component provides a noise figure 0.60 dB and a gain (S₂₁) of 66.38 dB. The output reflection (S₂₂), input reflection (S₁₁) and return loss (S₁₂) are -13.88 dB, -12.41 dB and -89.90 dB respectively. The measurement shows the stability was at 6.81 and 3-dB bandwidth of 1.70 GHz. The input sensitivity more than -80 dBm exceeded the standards required by IEEE 802.16.

The lunar dynamo

The inductive generation of magnetic fields in fluid planetary interiors is known as the dynamo process. Although the Moon today has no global magnetic field, it has been known since the Apollo era that the lunar rocks and crust are magnetized. Until recently, it was unclear whether this magnetization was the product of a core dynamo or fields generated externally to the Moon. New laboratory and spacecraft measurements strongly indicate that much of this magnetization is the product of an ancient core dynamo. The dynamo field persisted from at least 4.25 to 3.56 billion years ago (Ga), with an intensity reaching that of the present Earth. The field then declined by at least an order of magnitude by ∼3.3 Ga. The mechanisms for sustaining such an intense and long-lived dynamo are uncertain but may include mechanical stirring by the mantle and core crystallization.

Networked Grounded Theory

The present paper demonstrates a research method combining Grounded Theory and Network Analysis for the inductive generation of a theory solely based on the empirical data being analyzed. This method was developed during my PhD research on the utilization of a virtual community (case study in Wikipedia) in formal Education institutions (tertiary or secondary education). The focus of this paper is on demonstrating the research method developed during this study. Networked Grounded Theory constitutes a remodeling of Grounded Theory and the rationale for the inclusion of Network Analysis techniques into the process of theory generation is explained. The software used and the steps followed are presented in detail in order to help other researchers to utilize the method or adapt it to meet their own research pursuits.

A structural investigation on formal topology: coreflection of formal covers and exponentiability

We present and study the category of formal topologies and some of its variants. Two main results are proven. The first is that, for any inductively generated formal cover, there exists a formal topology whose cover extends in the minimal way the given one. This result is obtained by enhancing the method for the inductive generation of the cover relation by adding a coinductive generation of the positivity predicate. Categorically, this result can be rephrased by saying that inductively generated formal topologies are coreflective into inductively generated formal covers.The second result is that unary formal covers are exponentiable in the category of inductively generated formal covers and hence, thanks to the coreflection, unary formal topologies are exponentiable in the category of inductively generated formal topologies.From a localic point of view the exponentiability of unary formal topologies means that algebraic dcpos are exponentiable in the category of open locales. But, the coreflection theorem states that open locales are coreflective in locales and hence, as a consequence of well-known impredicative results on exponentiable locales, it allows to prove that locally compact open locales are exponentiable in the category of open locales.