Stability and Memory-loss go Hand-in-Hand: Three Results in Dynamics & Computation

The search for universal laws that help establish a relationship between dynamics and computation is driven by recent expansionist initiatives in biologically inspired computing. A general setting to understand both such dynamics and computation is a driven dynamical system that responds to a temporal input. Surprisingly, we find memory-loss a feature of driven systems to forget their internal states helps provide unambiguous answers to the following fundamental stability questions that have been unanswered for decades: what is necessary and sufficient so that slightly different inputs still lead to mostly similar responses? How does changing the driven system's parameters affect stability? What is the mathematical definition of the edge-of-criticality? We anticipate our results to be timely in understanding and designing biologically inspired computers that are entering an era of dedicated hardware implementations for neuromorphic computing and state-of-the-art reservoir computing applications.Comment: To appear in the Proceedings of the Royal Society of London, Series

Origin of spatial organization of DNA-polymer in bacterial chromosomes

In-vivo DNA organization at large length scales ($\sim 100nm$) is highly debated and polymer models have proved useful to understand the principle of DNA-organization. Here, we show that $<2$% cross-links at specific points in a ring polymer can lead to a distinct spatial organization of the polymer. The specific pairs of cross-linked monomers were extracted from contact maps of bacterial DNA. We are able to predict the structure of 2 DNAs using Monte Carlo simulations of the bead-spring polymer with cross-links at these special positions. Simulations with cross-links at random positions along the chain show that the organization of the polymer is different in nature from the previous case.Comment: arXiv admin note: text overlap with arXiv:1701.0506

Introduction to.... How to run an open licensing workshop?

The purpose of this paper is to provide brief guidelines on delivering a workshop to support the agreement and adoption of Open Access approaches, and particularly the use of Creative Commons, for licensing digital content. It is based on our experience in conducting a similar workshop, jointly organized by the Institute of Development Studies (IDS) and Indira Gandhi Institute of Development Research (IGIDR) held over two days in Mumbai between March 12 and 13, 2015

Transport in reservoir computing

Reservoir computing systems are constructed using a driven dynamical system in which external inputs can alter the evolving states of a system. These paradigms are used in information processing, machine learning, and computation. A fundamental question that needs to be addressed in this framework is the statistical relationship between the input and the system states. This paper provides conditions that guarantee the existence and uniqueness of asymptotically invariant measures for driven systems and shows that their dependence on the input process is continuous when the set of input and output processes are endowed with the Wasserstein distance. The main tool in these developments is the characterization of those invariant measures as fixed points of naturally defined Foias operators that appear in this context and which have been profusely studied in the paper. Those fixed points are obtained by imposing a newly introduced stochastic state contractivity on the driven system that is readily verifiable in examples. Stochastic state contractivity can be satisfied by systems that are not state-contractive, which is a need typically evoked to guarantee the echo state property in reservoir computing. As a result, it may actually be satisfied even if the echo state property is not present.Comment: 33 pages, 5 figure

Efficiency enhancement using optimized static scheduling technique in TSCH networks

In recent times, the reliable and real-time data transmission becomes a mandatory requirement for various industries and organizations due to the large utilization of Internet of Things (IoT) devices. However, the IoT devices need high reliability, precise data exchange and low power utilization which cannot be achieved by the conventional Medium Access Control (MAC) protocols due to link failures and high interferences in the network. Therefore, the Time-Slotted Channel Hopping (TSCH) networks can be used for link scheduling under the IEEE 802.15.4e standard. In this paper, we propose an Optimized Static Scheduling Technique (OSST) for the link scheduling in IEEE 802.15.4e based TSCH networks. In OSST the link schedule is optimized by considering the packet latency information during transmission by checking the status of the transmitted packets as well as keeping track of the lost data packets from source to destination nodes. We evaluate the proposed OSST model using 6TiSCH Simulator and compare the different performance metrics with Simple distributed TSCH Scheduling

THE COMPARATIVE EFFECTS OF VRUDDHADARVADI UPANAHA AND WAX THERAPY IN THE PAIN MANAGEMENT OF JANU SANDHIGATAVATA W.S.R. TO OSTEOARTHRITIS OF KNEE JOINT

A clinical trial was conducted to evaluate the efficacy of different treatment modalities in Janu Sandhigatavata. The Lakshanas of Janu Sandhigatavata as per classics are Shotha, Shoola, Prasaranaa kunchanayovedana, and Atopa are like the symptoms of Osteoarthritis of knee joint i.e., pain, swelling, crepitation and joint restriction. 30 patients suffering from Janu Sandhigatavata (single or both knees), who fulfilled the inclusion and exclusion criteria were selected for the study. 30 Patients were randomly allocated equally into two groups, Group A and Group B. Group A patients received Vruddhadarvadi Upanaha sweda for 1 Hour and Group B patients received Wax therapy for 20min, for 7 days. Both the groups received Placebos (capsules filled with rice flour) for 14 days during the follow-up period. The data of both the groups were analysed using Wilcoxon Signed Rank Test and Mann- Whitney U Test. The efficacy was statistically significant in both the Groups as p value &lt;0.001 in most of the symptoms. Upanaha Sweda and Wax therapy, both the treatments shown equal effectiveness in relieving the pain, swelling, joint restriction and difficulty in walking. While comparison between the Groups, Group A i.e. Upanaha group showed marked reduction in symptoms. The final evaluation proved that the efficacy of Group A was moderately significant as compared to Group B