In the first chapter, a solution concept for two-person zero-sum games is proposed with players' preferences only assumed to satisfy Independence. To each player, there is a set of "admissible" strategies assuring him minimum guarantees. Moreover, rationality requires players to rej...

The purpose of this thesis is two fold: to study weighted norm inequalities for maximal type operators such as Hardy{Littlewood maximal operator associated with a family of general sets in a topological space and Fourier maximal operator in the context of the ring ...

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Cryptocurrencies enable users to execute a financial transaction without relying on any third party. The use of Blockchain technology guarantees the security and immutability of transactions. Despite these features, blockchain-based financial transactions fail to compete with conventional payment&#x...

Virtual Try-On (VTON) is an Augmented Reality (AR) application that allows a user to try a product before actually buying it. In this work, we explore VTON approaches in the clothing domain. Considering the cost intensiveness of 3D model-based VTON approaches researchers have focus...

In soccer, the most frequent event that occurs is a pass. For a trained eye, there are a myriad of adjectives which could describe the possible pass (e.g.,"majestic pass", "conservative" to "poor-ball"). During the game, defending players constantly try to predict&#x...

Quantum secure direct communication (QSDC) is an important branch of quantum cryptog- raphy, where one can transmit a secret message securely without encrypting it by a prior key. Quantum dialogue (QD) is a process of two way secure and simultaneous communication using ...

The inference procedure based on the minimization of statistical distances has already proved to be a very useful tool in the field of robust inference. One of such commonly used divergences is the Bregman Divergence. Several important divergence families, e.g., the Likelihood&#x...

Entanglement of distinguishable and indistinguishable particles under different sce- narios and related properties and results constitute the core component of this thesis. We propose a new error-modeling for Hardy’s test and also perform experimental verification of it in superconducting...

The concept of multi-label (ML) data generalizes the association of instances to classes by labelling each data sample with more than one class simultaneously. Since this data can belong to more than one class at the same time, instances that are multi-label in nature, should&...

In the real world, we encounter many problems that can be modeled as graphtheoretic problems. This modeling gives a concrete view of the constraints and objectives of the problem and allows us to apply some well-known techniques to solve it. Many of these problems...

In computer science, a problem is said to have an optimal sub-structure if an optimal solution can be constructed from optimal solutions of its sub-problems. These optimal sub-structures are computed in the classical graph-theoretic setting where the graph is a structure with a set...

Answer generation for a question, given a context has gained tremendous popularity in the NLP research space. Benchmark datasets like SQuAD[9] have propelled the research and recent years have seen many transformer based models achieving state of the art (SOTA) results on&#...

Graph traversal algorithms like breadth-first search and depth-first search typically produce an ordering of the vertices of the input graph. Properties of these vertex orderings often provide new insights about the structure of the graphs under consideration. The existence of vertex&...

Ab

In this work, we consider a modification of the usual Branching Random Walk (BRW), where we give certain independent and identically distributed (i.i.d.) displacements to all the particles at the n-th generation, which may be different from the driving increment distribution. We call&#x...

This is a comprehensive study of sequencing problems with welfare bounds. The sequencing frame- work comprises a finite set of agents and a single facility provider that processes their jobs sequentially. Each job is characterized by its per period waiting cost and processin...