http://localhost:8081/jspui/handle/123456789/120 Tue, 27 Oct 2026 19:23:24 GMT 2026-10-27T19:23:24Z http://localhost:8081/jspui/handle/123456789/21157 Title: Finite element method for the stationary generalized Burgers-Huxley equation Authors: Shukla, Aishwarya Abstract: In this work we deal with the evaluation of the generalized Burgers-Huxley equation which is a nonlinear elliptic problem . The existence and uniqeness of weak solutions are mentioned in detail by the use of a Faedo-Galerkin approach and also by the use of Fixed point theory. A priory error estimates for conforming finite element method are also derived. Sun, 01 May 2022 00:00:00 GMT http://localhost:8081/jspui/handle/123456789/21157 2022-05-01T00:00:00Z http://localhost:8081/jspui/handle/123456789/21156 Title: FUZZY RELATION PROGRAMMING PROBLEM WITH INTUTIONISTIC FUZZY COEFFICIENT Authors: Kumar, Ajay Abstract: The use of max-product composition in relational geometric programming with intuitionistic fuzzy coefficients is addressed in this article. We use a linear ranking function to convert the problem into a fuzzy relation geometric programming problem since the object is an intuitionistic fuzzy relation function with intuitionistic fuzzy coefficients. After that, we look at intuitionistic fuzzy relation geometric programming and try to find the best solution. Sun, 01 May 2022 00:00:00 GMT http://localhost:8081/jspui/handle/123456789/21156 2022-05-01T00:00:00Z http://localhost:8081/jspui/handle/123456789/21155 Title: DYNAMICS OF ANTITUMOR IMMUNE RESPONSES-A STUDY BASED ON MATHEMATICAL MODELLING Authors: Singh, Anurag Abstract: This work focuses on the interaction between tumor and immune components, namely, immature and mature lymphocytes, using mathematical modelling as a tool. The model is kept simple but realistic, which is able to capture the dynamics, like , unlimited expansion of tumor, stable endemic equilibrium , periodic oscillation and tumor free equilibrium, as the quantity of mature immune cells are increased .Stability analysis of the system is performed and numerical results agree with the theoretical analysis. Sun, 01 May 2022 00:00:00 GMT http://localhost:8081/jspui/handle/123456789/21155 2022-05-01T00:00:00Z http://localhost:8081/jspui/handle/123456789/21154 Title: Using Information Theoretic Concepts to Understand Autoencoders Authors: Ashish Abstract: Deep neural networks currently require theory - building approaches for analysis, despite their extensive usage in practical uses. We present a new information-theoretic model to understand learning dynamics and building autoencoders, a type of deep learning architecture that resembles a communication channel. " By generalizing the information plane to any cost function and analyzing the roles and dynamics of various levels using layer-wise information quantity, we emphasize the importance of mutual information in measuring knowledge from data. " Using the data processing inequality, we also suggest and scientifically illustrate three essential hypotheses relating to the layer-wise flow of information and intrinsic dimensionality of the bottleneck layer for mean square error training and the recognition of a data-controlled bifurcation point in the information plane. Our findings have a direct influence on the best design of autoencoders, alternative feedforward training approaches, and even the generalization problem. Sun, 01 May 2022 00:00:00 GMT http://localhost:8081/jspui/handle/123456789/21154 2022-05-01T00:00:00Z