8 research outputs found
Understanding Genomic Evolution of Olfactory Receptors through Fractal and Mathematical Morphology
Fractals and Mathematical Morphology are immensely used to study many problems in different branches of science and technology including the domain of Biology. There are many more unrevealed facts and figures of genes and genome in Computational Biology. In this paper, our objective is to explore how the evolutionary network is associated among Human, Chimpanzee and Mouse with regards to their genomic information. We are about to explore their genomic evolution through the quantitative measures of fractals and morphology. We have considered olfactory receptors for our case study. These olfactory receptors do function in different species with subtle differences in the structures of DNA sequences. Those subtle differences can be exposed through intricate details of Fractals and Mathematical Morphology
Automated peer-to-peer negotiation for energy contract settlements in residential cooperatives
This paper presents an automated peer-to-peer negotiation
strategy for settling energy contracts among prosumers in a Residential
Energy Cooperative considering heterogeneity prosumer preferences. The
heterogeneity arises from prosumers' evaluation of energy contracts
through multiple societal and environmental criteria and the prosumers'
private preferences over those criteria. The prosumers engage in
bilateral negotiations with peers to mutually agree on periodical energy
contracts/loans consisting of the energy volume to be exchanged at that
period and the return time of the exchanged energy. The negotiating
prosumers navigate through a common negotiation domain consisting of
potential energy contracts and evaluate those contracts from their
valuations on the entailed criteria against a utility function that is
robust against generation and demand uncertainty. From the repeated
interactions, a prosumer gradually learns about the compatibility of its
peers in reaching energy contracts that are closer to Nash solutions.
Empirical evaluation on real demand, generation and storage profiles –
in multiple system scales – illustrates that the proposed negotiation
based strategy can increase the system efficiency (measured by
utilitarian social welfare) and fairness (measured by Nash social
welfare) over a baseline strategy and an individual flexibility control
strategy representing the status quo strategy. We thus elicit system
benefits from peer-to-peer flexibility exchange already without any
central coordination and market operator, providing a simple yet
flexible and effective paradigm that complements existing markets
On analog quantum algorithms for the mixing of Markov chains
The problem of sampling from the stationary distribution of a Markov chain
finds widespread applications in a variety of fields. The time required for a
Markov chain to converge to its stationary distribution is known as the
classical mixing time. In this article, we deal with analog quantum algorithms
for mixing. First, we provide an analog quantum algorithm that given a Markov
chain, allows us to sample from its stationary distribution in a time that
scales as the sum of the square root of the classical mixing time and the
square root of the classical hitting time. Our algorithm makes use of the
framework of interpolated quantum walks and relies on Hamiltonian evolution in
conjunction with von Neumann measurements.
There also exists a different notion for quantum mixing: the problem of
sampling from the limiting distribution of quantum walks, defined in a
time-averaged sense. In this scenario, the quantum mixing time is defined as
the time required to sample from a distribution that is close to this limiting
distribution. Recently we provided an upper bound on the quantum mixing time
for Erd\"os-Renyi random graphs [Phys. Rev. Lett. 124, 050501 (2020)]. Here, we
also extend and expand upon our findings therein. Namely, we provide an
intuitive understanding of the state-of-the-art random matrix theory tools used
to derive our results. In particular, for our analysis we require information
about macroscopic, mesoscopic and microscopic statistics of eigenvalues of
random matrices which we highlight here. Furthermore, we provide numerical
simulations that corroborate our analytical findings and extend this notion of
mixing from simple graphs to any ergodic, reversible, Markov chain.Comment: The section concerning time-averaged mixing (Sec VIII) has been
updated: Now contains numerical plots and an intuitive discussion on the
random matrix theory results used to derive the results of arXiv:2001.0630
Efficient transactive control for energy storage management system in prosumer-centric networked microgrids
This paper presents a transactive control (TC) mechanism for the management of battery energy storage systems (BESS) in residential networked microgrids (MGs) that contain loads, electric vehicles (EVs), and rooftop solar photovoltaic systems (PV). The goals of the TC are to maximize the savings of consumers and prosumers and to reduce peak load on local transformers. This is accomplished by utilizing local hybrid PV-BESS resources from prosumer community groups (PCGs), which are scheduled to offset peak loads. A model predictive control (MPC) based method is utilized to optimize the BESS scheduling. In the proposed TC, the PCGs are incentivized by the distribution system operator (DSO) through a dynamic price signal that is being updated hourly based on the MG local conditions. To evaluate the proposed TC, case studies are conducted on residential MGs located in an IEEE 33-bus test system. The evaluation indicates that the proposed TC can improve the savings of prosumers/consumers, reduce peak demand caused by EV charging in the distribution networks, and is able to alleviate undesired grid effects, e.g., transformer overloads