arXiv subjects

Indranil Mitra

Publications and source records attributed to Indranil Mitra.

7 recordsLinked to original sources

arXiv2019

Use of Artificial Intelligence to Analyse Risk in Legal Documents for a Better Decision Support

Assessing risk for voluminous legal documents such as request for proposal; contracts is tedious and error prone. We have developed "risk-o-meter", a framework, based on machine learning and natural language processing to review and assess risks of any legal document. Our framework uses Paragraph Vector, an unsupervised model to generate vector representation of text. This enables the framework to learn contextual relations of legal terms and generate sensible context aware embedding. The framework then feeds the vector space into a supervised classification algorithm to predict whether a paragraph belongs to a per-defined risk category or not. The framework thus extracts risk prone paragraphs. This technique efficiently overcomes the limitations of keyword-based search. We have achieved an accuracy of 91% for the risk category having the largest training dataset. This framework will help organizations optimize effort to identify risk from large document base with minimal human intervention and thus will help to have risk mitigated sustainable growth. Its machine learning capability makes it scalable to uncover relevant information from any type of document apart from legal documents, provided the library is per-populated and rich.

cs.CL↗

arXiv2008

Non Markovian Noise mediated through Anamolous Diffusion within Ion Channels

It is quite clear from a wide range of experiments that gating phenomena of ion channels is inherently stochastic. It has been discussed using BD simulations in a recent paper that memory effects in ion transport is negligible, unless the barrier height is high. In this brief report we like to state using Differential Stochastic Methods (DSM's) that the Markovian property of exponential dwell times do indeed give rise to a high barrier, which in turn indicates that memory effects need not be ignored. We have thus constructed a Generalized Langevin Equation which contains a combination of Non Markovian at different time scales & Markovian processes and develop an algorithm to describe the scheme of events. We see that the oscillatory function behaviour with exponential decay is obtained in the Markovian limit and two distinct time scales corresponding to the processes of diffusion & drift may be obtained from preliminary simulation results. We propose that the results need much more inspection and it will be worthwhile to reproduce using MD simulations. The most important idea which we like to propose in this paper is that the rise of time scales and memory effects may be inherently related to the differential behaviour of shear viscosity in the cytoplasm & extracellular matrix.

q-bio.NC↗

arXiv2007

Co-operativity in neurons and the role of noise in brain

In view of some recent results in case of the dopaminergic neurons exhibiting long range correlations in VTA of the limbic brain we are interested to find out whether any stochastic nonlinear response may be reproducible in the nano scales usimg the results of quantum mechanics. We have developed a scheme to investigate this situation in this paper by taking into consideration the Schrodinger equation (SE) in an arbitrary manifold with a metric, which is in some sense a special case of the heat kernel equation. The special case of this heat kernel equation is the diffusion equation, which may reproduce some key phenomena of the neural activities. We make a dual equivalent circuit model of SE and incorporate non commutativity and noise inside the circuit scheme. The behaviour of the circuit elements with interesting limits are investigated. The most bizarre part is the long range response of the model by dint of the Central Limit Theorem, which is responsible for coherent behaviour of a large assembly of neurons.

q-bio.NC↗

arXiv2006

Relevance of Quantum Mechanics in Circuit Implementation of Ion channels in Brain Dynamics

With an increasing amount of experimental evidence pouring in from neurobiological investigations, it is quite appropriate to study viable reductionist models which may explain some of the features of brain activities. It is now quite well known that the Hodgkin-Huxley (HH) Model has been quite successful in explaining the neural phenomena. The idea of circuit equivalents and the membrane voltages corresponding to neurons have been remarkable which is essentially a classical result. In view of some recent results which show that quantum mechanics may be important at suitable length scales inside the brain, the question which becomes quite important is to find out a proper quantum analogue of the HH scheme which will reduce to the well known HH model in a suitable limit. From the ideas of neuro-manifold and the relevance of quantum mechanics at some length scales in the ion channels, we investigate this situation in this paper by taking into consideration the Schrödinger equation in an arbitrary manifold with a metric, which is in some sense a special case of the heat kernel equation. The next important approach we have taken in order to bring about it's relevance in brain studies and to make connection with HH models is to find out a plausible circuit equivalents of it. What we do realize is that for a proper quantum mechanical description and it's circuit implementation of the same we need to incorporate the non commutativity inside the circuit model. It has been realized here that the metric is a dynamical entity governing space time and for considering equivalent circuits it plays a very distinct role. We have used the methods of stochastic quantization and have constructed a specific case here and see that HH model inductances gets renormalized in the quantum limit.

q-bio.NC↗

arXiv2004

Holonomy Quantization of Moduli Spaces & Grothendieck Groups

Gelfand's charecterization of a topological space M by the duality relationship of M and $\mathcal{A} = \mathcal{F}(M)$, the commutative algebra of functions on this space has deep implications including the development of spectral calculas by Connes .We investigate this scheme in this paper in the context of Monopole Moduli Space $\mathcal{M}$ using Seiberg-Witten Equations. A observation has been made here that the methods of holonomy quantization using graphs can be construed to construct a C* algebra corresponding to the loop space of the Moduli. A map is thereby conjectured with the corresponding projectors of the algebra with the moduli space.

hep-th↗

arXiv2002

(NS5,D5,D3) bound state, OD3, OD5 limits and SL(2,Z) duality

We generalize the non-threshold bound state in type IIB supergravity of the form (NS5, D5, D3) constructed by the present authors (in hep-th/0011236) to non-zero asymptotic value of the axion $(χ_0$). We identify the decoupling limits corresponding to both the open D3-brane theory and open D5-brane theory for this supergravity solution as expected. However, we do not find any non-commutative Yang-Mills theory (NCYM) limit for this solution in the presence of NS5 branes. We then study the $SL(2, Z)$ duality symmetry of type IIB theory for both OD3-limit and OD5-limit. We find that for OD3 theory, a generic $SL(2, Z)$ duality always gives another OD3-theory irrespective of the value of $χ_0$ being rational or not. This indicates that OD3-theory is self-dual. But, under a special set of $SL(2, Z)$ transformations for which $χ_0$ is rational OD3-theory goes over to a 5+1 dimensional NCYM theory and these two theories in this case are related to each other by strong-weak duality symmetry. On the other hand, for OD5-theory, a generic $SL(2, Z)$ duality gives another OD5-theory if $χ_0$ is irrational, but when $χ_0$ is rational it gives the little string theory limit indicating that OD5-theory is S-dual to the type IIB little string theory.

hep-th↗

arXiv2000

(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

Starting from the (q,p) 5-brane solution of type IIB string theory, we here construct the low energy configuration corresponding to (NS5,Dp)-brane bound states (for $0\leq p\leq 4$) using the T-duality map between type IIB and type IIA string theories. We use the SL(2,Z) symmetry on the type IIB bound state (NS5,D3) to construct (NS5,D5,D3) bound state. We then apply T-duality transformation again on this state to construct the bound states of the form (NS5,D(p+2),Dp) (for $0\leq p\leq 2$) of both type IIB and type IIA string theories. We give the tension formula for these states and show that they form non-threshold bound states. All these states preserve half of the space-time supersymmetries of string theories. We also briefly discuss the ODp-limits corresponding to (NS5,Dp) bound state solutions.

hep-th↗