• Design and Analysis of Some Symmetric Key Schemes for Encryption and Authentication 

  Kundu, Samir (Indian Statistical Institute, Kolkata, 2024)

  This thesis mainly focuses on the design and analysis of tweakable enciphering schemes (TESs) and message authentication codes (MACs). Tweakable enciphering schemes are length preserving encryption schemes that provide ...
• Unitary Connections and Q-Systems 

  Ghosh, Mainak (Indian Statistical Institute, Kolkata, 2023-04)

  In the classification programme of subfactors, the standard invariant plays a quintessential role. In this thesis, we furnish a 2-categorical perspective of the standard invariant of finite-index subfactors and further ...
• Equivariant Homology Decompositions for Projective Spaces and Associated Results 

  Karmakar, Aparajita (Indian Statistical Institute, Kolkata, 2023-12)

  Abstracts
• TFNet: Time and Frequency Modeling for Irregular Multivariate Medical Time Series 

  Lakkoju, V S Siva Kumar (Indian Statistical Institute, Kolkata, 2023-06)

  Time Series Classification (TSC) involves assigning a target label based on features involving time series data. TSC arises in a variety of domains, like healthcare, finance, process control, weather pattern prediction, ...
• Homotopical computations for projective Stiefel manifolds and related quotients 

  Dasgupta, Debanil (Indian Statistical Institute, Kolkata, 2024-02)

  My thesis deals with various homogeneous spaces associated with the real and complex Stiefel manifolds and their homotopical computations. Primarily we work with the complex projective Stiefel manifolds. We compute their ...
• Efficient Reduction of Resources and Noise in Discrete Quantum Computing Circuits 

  Majumdar, Ritajit (Indian Statistical Institute, Kolkata, 2024-01)

  Quantum computers have shifted from a subject of theoretical interest to reality in recent years with multiple devices now available at research industry labs such as IBM, Google, and IonQ. However, quantum systems are ...
• Essays on Choice and Matching 

  Manocha, Kriti (Indian Statistical Institute, Delhi, 2023-11)

  This thesis consists of three independent essays. The first chapter introduces a model of decision-making that is based on the procedure of rejection. Departing from the standard model of choice via preference maximization, ...
• Dimensionality Reduction for Data Visualization and Classification 

  Das, Suchismita (Indian Statistical Institute, Kolkata, 2023-07)

  In this thesis, we identify a few gaps in the existing methods of dimensionality reduction for data visualization and classification and propose some solutions to those as summarized below. Most of the data visualization ...
• Memristive Crossbars: ALU Design, Testing, and Fault Analysis for Neuromorphic Applications 

  Mondal, Manobendra Nath (Indian Statistical Institute, Kolkata, 2023-07)

  In 1971, Professor Leon Chua introduced the notion of a memristor, the fourth fundamental passive circuit component alongside resistor, capacitor, and inductor. The resistance of this two-terminal device depends on the ...
• Commutant Lifting, Interpolation and Toeplitz Operators In Several Variables 

  Kathikulath Dilip, Deepak (Indian Statistical Institute, Bangalore, 2023-11)

  Abstract
• Discriminative Deep Joint Subspace Analysis for Multi-View Data: 

  Kumar, Debamita (Indian Statistical Institute, Kolkata, 2023-12)

  Over the past few years, multi-view data analysis has emerged as an inevitable method for identifying sample categories. In multi-view data classification problem, it is expected that the joint subspace is learned from ...
• Quantum symmetry in multigraphs and its applications in physical models 

  Hossain, Sk Asfaq (Indian Statistical Institute, Kolkata, 2023-12)

  We introduce various notions of quantum symmetry in a directed or undi- rected multigraph with no isolated vertex and explore relations among them. If the multigraph is simple (with or without loops), all our notions of ...
• Design and analysis of MDS and Near-MDS Matrices and their application to lightweight cryptography 

  Samanta, Susanta (Indian Statistical Institute, Kolkata, 2023-12)

  In this thesis, we focus on studying MDS and Near-MDS (NMDS) matrices and explore their construction in both recursive and nonrecursive settings. We present several theoretical results and analyze the hardware efficiency ...
• Studies on the Quantum Private Query Primitive in the Device-Independent Paradigm 

  Basak, Jyotirmoy (Indian Statistical Institute, Kolkata, 2023)

  In this thesis, we focus on the Quantum Private Query (QPQ) primitive in the device-independent (DI) paradigm, addressing the challenges of preserving user and database privacy without trusting the devices. Existing ...
• Message Efficient Fault-Tolerant Distributed Computations 

  Kumar, Manish (2023-11)

  The thesis focuses on exploring the message complexity of some fundamental problems – leader election, agreement, and graph realization. Leader Election and Agreement problems are widely applicable in various domains ...
• Bayesian joint modeling of multivariate longitudinal and event-time outcomes with applications to ALL maintenance studies 

  Kundu, Damitri (Indian Statistical Institute, Kolkata, 2023-06)

  Joint analysis of longitudinal and event-time outcomes is a major research topic in the last two decades, mainly due to its successful applications in various disciplines including medical studies, biological studies, ...
• Studies in Boolean Function Analysis 

  Biswas, Aniruddha (Indian Statistical Institute, Kolkata, 2023-06)

  Boolean functions are important in both theoretical computer science and cryptography. Over the past few decades, significant advancements have been made in this area. The Walsh transform, a variant of the Fourier transform ...
• On Resource Efficient and Obstacle Aware Link Selection in D2D Communications 

  Dutta, Rathindra Nath (Indian Statistical Institute, Kolkata, 2023-12)

  Device-to-device (D2D) communication has been envisioned as the solution to the bandwidth scarcity problem in the era of exponentially growing smart handheld devices. In D2D communications, two or more user equipment ...
• Obstacle Detection and Infrastructure Deployment for Efficient Millimeter-wave Communications 

  Sarkar, Subhojit (Indian Statistical Institute, Kolkata, 2023-12)

  There has been growing interest in millimeter-wave (mmWave) communication due to the promising high speeds and immense amounts of unused bandwidth available. However, mmWaves suffer from unusually high attenuation, ...
• Distributed k-Circle Formation by Mobile Robots 

  Das, Bibhuti (Indian Statistical Institute, Kolkata, 2023-11)

  The k-circle formation problem asks a group of robots to form disjoint circles. Each circle is restricted to being centered at one of the pre- xed points given in the plane, and each circle should have exactly k distinct ...

• Design and Analysis of Some Symmetric Key Schemes for Encryption and Authentication 

  Kundu, Samir (Indian Statistical Institute, Kolkata, 2024)

  This thesis mainly focuses on the design and analysis of tweakable enciphering schemes (TESs) and message authentication codes (MACs). Tweakable enciphering schemes are length preserving encryption schemes that provide ...
• Unitary Connections and Q-Systems 

  Ghosh, Mainak (Indian Statistical Institute, Kolkata, 2023-04)

  In the classification programme of subfactors, the standard invariant plays a quintessential role. In this thesis, we furnish a 2-categorical perspective of the standard invariant of finite-index subfactors and further ...
• Equivariant Homology Decompositions for Projective Spaces and Associated Results 

  Karmakar, Aparajita (Indian Statistical Institute, Kolkata, 2023-12)

  Abstracts
• TFNet: Time and Frequency Modeling for Irregular Multivariate Medical Time Series 

  Lakkoju, V S Siva Kumar (Indian Statistical Institute, Kolkata, 2023-06)

  Time Series Classification (TSC) involves assigning a target label based on features involving time series data. TSC arises in a variety of domains, like healthcare, finance, process control, weather pattern prediction, ...
• Homotopical computations for projective Stiefel manifolds and related quotients 

  Dasgupta, Debanil (Indian Statistical Institute, Kolkata, 2024-02)

  My thesis deals with various homogeneous spaces associated with the real and complex Stiefel manifolds and their homotopical computations. Primarily we work with the complex projective Stiefel manifolds. We compute their ...
• Efficient Reduction of Resources and Noise in Discrete Quantum Computing Circuits 

  Majumdar, Ritajit (Indian Statistical Institute, Kolkata, 2024-01)

  Quantum computers have shifted from a subject of theoretical interest to reality in recent years with multiple devices now available at research industry labs such as IBM, Google, and IonQ. However, quantum systems are ...
• Essays on Choice and Matching 

  Manocha, Kriti (Indian Statistical Institute, Delhi, 2023-11)

  This thesis consists of three independent essays. The first chapter introduces a model of decision-making that is based on the procedure of rejection. Departing from the standard model of choice via preference maximization, ...
• Dimensionality Reduction for Data Visualization and Classification 

  Das, Suchismita (Indian Statistical Institute, Kolkata, 2023-07)

  In this thesis, we identify a few gaps in the existing methods of dimensionality reduction for data visualization and classification and propose some solutions to those as summarized below. Most of the data visualization ...
• Memristive Crossbars: ALU Design, Testing, and Fault Analysis for Neuromorphic Applications 

  Mondal, Manobendra Nath (Indian Statistical Institute, Kolkata, 2023-07)

  In 1971, Professor Leon Chua introduced the notion of a memristor, the fourth fundamental passive circuit component alongside resistor, capacitor, and inductor. The resistance of this two-terminal device depends on the ...
• Commutant Lifting, Interpolation and Toeplitz Operators In Several Variables 

  Kathikulath Dilip, Deepak (Indian Statistical Institute, Bangalore, 2023-11)

  Abstract
• Discriminative Deep Joint Subspace Analysis for Multi-View Data: 

  Kumar, Debamita (Indian Statistical Institute, Kolkata, 2023-12)

  Over the past few years, multi-view data analysis has emerged as an inevitable method for identifying sample categories. In multi-view data classification problem, it is expected that the joint subspace is learned from ...
• Quantum symmetry in multigraphs and its applications in physical models 

  Hossain, Sk Asfaq (Indian Statistical Institute, Kolkata, 2023-12)

  We introduce various notions of quantum symmetry in a directed or undi- rected multigraph with no isolated vertex and explore relations among them. If the multigraph is simple (with or without loops), all our notions of ...
• Design and analysis of MDS and Near-MDS Matrices and their application to lightweight cryptography 

  Samanta, Susanta (Indian Statistical Institute, Kolkata, 2023-12)

  In this thesis, we focus on studying MDS and Near-MDS (NMDS) matrices and explore their construction in both recursive and nonrecursive settings. We present several theoretical results and analyze the hardware efficiency ...
• Studies on the Quantum Private Query Primitive in the Device-Independent Paradigm 

  Basak, Jyotirmoy (Indian Statistical Institute, Kolkata, 2023)

  In this thesis, we focus on the Quantum Private Query (QPQ) primitive in the device-independent (DI) paradigm, addressing the challenges of preserving user and database privacy without trusting the devices. Existing ...
• Message Efficient Fault-Tolerant Distributed Computations 

  Kumar, Manish (2023-11)

  The thesis focuses on exploring the message complexity of some fundamental problems – leader election, agreement, and graph realization. Leader Election and Agreement problems are widely applicable in various domains ...
• Bayesian joint modeling of multivariate longitudinal and event-time outcomes with applications to ALL maintenance studies 

  Kundu, Damitri (Indian Statistical Institute, Kolkata, 2023-06)

  Joint analysis of longitudinal and event-time outcomes is a major research topic in the last two decades, mainly due to its successful applications in various disciplines including medical studies, biological studies, ...
• Studies in Boolean Function Analysis 

  Biswas, Aniruddha (Indian Statistical Institute, Kolkata, 2023-06)

  Boolean functions are important in both theoretical computer science and cryptography. Over the past few decades, significant advancements have been made in this area. The Walsh transform, a variant of the Fourier transform ...
• On Resource Efficient and Obstacle Aware Link Selection in D2D Communications 

  Dutta, Rathindra Nath (Indian Statistical Institute, Kolkata, 2023-12)

  Device-to-device (D2D) communication has been envisioned as the solution to the bandwidth scarcity problem in the era of exponentially growing smart handheld devices. In D2D communications, two or more user equipment ...
• Obstacle Detection and Infrastructure Deployment for Efficient Millimeter-wave Communications 

  Sarkar, Subhojit (Indian Statistical Institute, Kolkata, 2023-12)

  There has been growing interest in millimeter-wave (mmWave) communication due to the promising high speeds and immense amounts of unused bandwidth available. However, mmWaves suffer from unusually high attenuation, ...
• Distributed k-Circle Formation by Mobile Robots 

  Das, Bibhuti (Indian Statistical Institute, Kolkata, 2023-11)

  The k-circle formation problem asks a group of robots to form disjoint circles. Each circle is restricted to being centered at one of the pre- xed points given in the plane, and each circle should have exactly k distinct ...

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