Publications (43)
Directional Convergence Near Small Initializations and Saddles in Two-Homogeneous Neural Networks
Akshay Kumar, Jarvis Haupt
This paper examines gradient flow dynamics of two-homogeneous neural networks for small initializations, where all weights are initialized near the origin. For both square and logi…
Insights of preferred growth, elemental and morphological properties of BN/SnO2 composite for photocatalytic applications towards organic pollutants
Bikramjeet Singh, Kulwinder Singh, Manjeet Kumar +1
Boron nitride (BN) has been explored these days because of its extraordinary optical, chemical and mechanical properties. BN is sensitive to its crystal structure that slight chang…
Kinematics & Dynamics Library for Baxter Arm
Akshay Kumar, Ashwin Sahasrabudhe, Chaitanya Perugu +2
The Baxter robot is a standard research platform used widely in research tasks, supported with an SDK provided by the developers, Rethink Robotics. Despite the ubiquitous use of th…
Convexifying Sparse Interpolation with Infinitely Wide Neural Networks: An Atomic Norm Approach
Akshay Kumar, Jarvis Haupt
This work examines the problem of exact data interpolation via sparse (neuron count), infinitely wide, single hidden layer neural networks with leaky rectified linear unit activati…
Generalizing Quantum Hall Ferromagnetism to Fractional Chern Bands
Akshay Kumar, Rahul Roy, S. L. Sondhi
We study the interplay between quantum Hall ordering and spontaneous sublattice symmetry breaking in multiple Chern number bands at fractional fillings. Primarily we study fermions…
A Delay Efficient Multiclass Packet Scheduler for Heterogeneous M2M Uplink
Akshay Kumar, Ahmed Abdelhadi, Charles Clancy
The sensory traffic in Machine-to-Machine (M2M) communications has fairly heterogeneous service delay requirements. Therefore, we study the delay-performance of a heterogeneous M2M…
An Online Delay Efficient Packet Scheduler for M2M Traffic in Industrial Automation
Akshay Kumar, Ahmed Abdelhadi, Charles Clancy
Some Machine-to-Machine (M2M) communication links particularly those in a industrial automation plant have stringent latency requirements. In this paper, we study the delay-perform…
Specially designed B4C/SnO2 nanocomposite for photocatalysis: traditional ceramic with unique properties
Paviter Singh, Gurpreet Kaur, Kulwinder Singh +7
Boron carbide: A traditional ceramic material shows unique properties when explored in nano-range. Specially designed boron based nanocomposite has been synthesized by reflux metho…
Learning Neural Networks by Neuron Pursuit
Akshay Kumar, Jarvis Haupt
The first part of this paper studies the evolution of gradient flow for homogeneous neural networks near a class of saddle points exhibiting a sparsity structure. The choice of the…
A study on the dual of with the topology of (strong) uniform convergence on a bornology
Akshay Kumar
This article begins by deriving a measure-theoretic decomposition of continuous linear functionals on , the space of all real-valued continuous functions on a metric space $(…
Gyrogroup extensions and semi cross product
Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha +1
The aim of the article is to study the extension theory of gyrogroups under certain conditions. Consequently, we see that there is an equivalence between the category GEXT of group…
Gyrogroup through its Grothendieck Group Completion and Right gyrogroup action
Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha +1
In this article, we discuss the Grothendieck group completion (GGC) of a gyrogroup. Consequently, we show that there is a one to one correspondence between actions and representati…
Effects of electromagnetic field on a radiating star
Suresh C. Jaryal, Ayan Chatterjee, Akshay Kumar
In this paper we study the shear free spherical symmetric gravitational collapse of charged radiating star. All the physical quantities including pressure, density are regular. Ene…
PMUT-Powered Photoacoustic Detection: Revolutionizing Microfluidic Concentration Measurements
Kaustav Roy, Akshay Kumar, Vijayendra Shastri +6
This report introduces a novel optofluidic platform based on piezo-MEMS technology, capable of identifying subtle variations in the fluid concentration. The system utilizes piezoel…
Quantum coherence in dissociative electron attachment: isotope effect
Suvasis Swain, Akshay Kumar, E. Krishnakumar +1
Dissociative electron attachment (DEA) is one of the processes that shows a strong coupling between the nuclear and electronic degrees of freedom in a molecule. This coupling resul…
Reflexive extended locally convex spaces
Akshay Kumar, Varun Jindal
For an extended locally convex space (elcs) , the authors in [10] studied the topology of uniform convergence on bounded subsets of on the dual of…
Predissociation dynamics of negative ion resonances of H near 12 eV and 14.5 eV using velocity slice imaging technique
Akshay Kumar, Suvasis Swain, Jankee Upadhyay +3
Dissociative electron attachment (DEA) is an important tool for investigating negative ion resonances. We have studied the negative ion resonances of H2 at 10 eV and 14 eV using th…
Dual of an extended locally convex space
Akshay Kumar, Varun Jindal
This paper aims to study the dual of an extended locally convex space. In particular, we study the weak and weak* topologies as well as the topology of uniform convergence on bound…
Gravitational collapse in pure Gauss- Bonnet theory
Akshay Kumar, Ayan Chatterjee, Suresh C. Jaryal
In this paper, we study the gravitational collapse of matter fields, which include dust, perfect fluids as well as fluids admitting bulk and shear viscosity. The initial conditions…
AI for Mycetoma Diagnosis in Histopathological Images: The MICCAI 2024 Challenge
Hyam Omar Ali, Sahar Alhesseen, Lamis Elkhair +19
Mycetoma is a neglected tropical disease caused by fungi or bacteria leading to severe tissue damage and disabilities. It affects poor and rural communities and presents medical ch…
Higher Lovelock Curvature Terms Favor Local Nakedness in Dust Collapse
Apratim Ganguly, Radouane Gannouji, Akshay Kumar
We show that higher-curvature Lovelock terms do not restore local cosmic censorship in spherical dust collapse, but instead promote the local visibility of central shell-focusing s…
Towards Understanding Gradient Flow Dynamics of Homogeneous Neural Networks Beyond the Origin
Akshay Kumar, Jarvis Haupt
Recent works exploring the training dynamics of homogeneous neural network weights under gradient flow with small initialization have established that in the early stages of traini…
The Art of Not Forgetting
Ashmith Atmuri, Akshay Kumar, Yashaswini Rao Bhogarajula
We introduce CMP (Cognitive Memory Primitive), an architecture that represents inputs as sparse relational codes, stores them in a two-tier competitive memory, and learns entirely…
Uniqueness of Hahn-Banach extensions in locally convex spaces
Sainik Karak, Akshay Kumar, Tanmoy Paul
We intend to study the uniqueness of the Hahn-Banach extensions of linear functionals on a subspace in locally convex spaces. Various characterizations are derived when a subspace…
Fuzzy Logic Control for Indoor Navigation of Mobile Robots
Akshay Kumar, Ashwin Sahasrabudhe, Sanjuksha Nirgude
Autonomous mobile robots have many applications in indoor unstructured environment, wherein optimal movement of the robot is needed. The robot therefore needs to navigate in unknow…
Low temperature carrier transport mechanism and photoconductivity of WSe2
Manjot Kaur, Kulwinder Singh, Ishant Chauhan +5
This work reports the electrical transport and temperature-dependent photoconductivity in tungsten diselenide (WSe2) thin films. The electrical conductivity analysis shows the pres…
Dynamic Cluster Head Selection Using Fuzzy Logic on Cloud in Wireless Sensor Networks
Payal Pahwa, Deepali Virmani, Akshay Kumar +3
One of the most vital activities to reduce energy consumption in wireless sensor networks is clustering. In clustering, one node from a group of nodes is selected to be a cluster h…
Flat bands with local Berry curvature in multilayer graphene
Akshay Kumar, Rahul Nandkishore
We demonstrate that flat bands with local Berry curvature arise naturally in chiral (ABC) multilayer graphene placed on a boron nitride (BN) substrate. The degree of flatness can b…
On the Latency and Energy Efficiency of Erasure-Coded Cloud Storage Systems
Akshay Kumar, Ravi Tandon, T. Charles Clancy
The increase in data storage and power consumption at data-centers has made it imperative to design energy efficient Distributed Storage Systems (DSS). The energy efficiency of DSS…
Understanding the Role of Scene Graphs in Visual Question Answering
Vinay Damodaran, Sharanya Chakravarthy, Akshay Kumar +5
Visual Question Answering (VQA) is of tremendous interest to the research community with important applications such as aiding visually impaired users and image-based search. In th…
Order by Disorder and by Doping in Quantum Hall Valley Ferromagnets
Akshay Kumar, S. A. Parameswaran, S. L. Sondhi
We examine the Si(111) multi-valley quantum Hall system and show that it exhibits an exceptionally rich interplay of broken symmetries and quantum Hall ordering already near intege…
Spherical trapped surfaces in n-dimensional general relativity
Ayan Chatterjee, Suresh C. Jaryal, Akshay Kumar
In this paper, we examine gravitational collapse of matter fields in -dimensional general relativity. The matter energy-momentum tensor under consideration includes dust, perfec…
Early Directional Convergence in Deep Homogeneous Neural Networks for Small Initializations
Akshay Kumar, Jarvis Haupt
This paper studies the gradient flow dynamics that arise when training deep homogeneous neural networks assumed to have locally Lipschitz gradients and an order of homogeneity stri…
Barreled extended locally convex spaces and Uniform boundedness principle
Akshay Kumar, Varun Jindal
For an extended locally convex space , in [8], the authors studied the finest locally convex topology (flc topology) on coarser than . One can often prove fa…
A Delay-Optimal Packet Scheduler for M2M Uplink
Akshay Kumar, Ahmed Abdelhadi, Charles Clancy
In this paper, we present a delay-optimal packet scheduler for processing the M2M uplink traffic at the M2M application server (AS). Due to the delay-heterogeneity in uplink traffi…
Inelastic electron scattering induced quantum coherence: isotope effect
Akshay Kumar, Vaibhav S. Prabhudesai
Recent discoveries of electron-induced coherence in both resonant and non-resonant interactions have introduced new perspectives in the field. In non-resonant processes, coherence…
Microscopic Theory of a Quantum Hall Ising Nematic: Domain Walls and Disorder
Akshay Kumar, S. A. Parameswaran, S. L. Sondhi
We study the the interplay between spontaneously broken valley symmetry and spatial disorder in multivalley semiconductors in the quantum Hall regime. In cases where valleys have a…
Pocket Schlieren: a background oriented schlieren imaging platform on a smartphone
Diganta Rabha, Vimod Kumar, Akshay Kumar +2
Background-oriented schlieren (BOS) is a powerful technique for flow visualization. Nevertheless, the widespread dissemination of BOS is impeded by its dependence on scientific cam…
The finest locally convex topology of an extended locally convex space
Akshay Kumar, Varun Jindal
Salas and Garcia introduced the concept of an extended locally convex space in [D. Salas and S. Tapia-Garcia. Extended seminorms and extended topological vector spaces. Topology an…
A Delay Optimal MAC and Packet Scheduler for Heterogeneous M2M Uplink
Akshay Kumar, Ahmed Abdelhadi, Charles Clancy
The uplink data arriving at the Machine-to-Machine (M2M) Application Server (AS) via M2M Aggregators (MAs) is fairly heterogeneous along several dimensions such as maximum tolerabl…
Quantum coherence in molecular dynamics induced by inelastic free electron scattering
Akshay Kumar, Suvasis Swain, Vaibhav S. Prabhudesai
This paper presents the inversion symmetry breaking observed in ion-pair formation from molecular hydrogen on electron impact. We explain these observations using quantum interfere…
CLEVR_HYP: A Challenge Dataset and Baselines for Visual Question Answering with Hypothetical Actions over Images
Shailaja Keyur Sampat, Akshay Kumar, Yezhou Yang +1
Most existing research on visual question answering (VQA) is limited to information explicitly present in an image or a video. In this paper, we take visual understanding to a high…
On the Tradeoff between Energy Harvesting and Caching in Wireless Networks
Akshay Kumar, Walid Saad
Self-powered, energy harvesting small cell base stations (SBS) are expected to be an integral part of next-generation wireless networks. However, due to uncertainties in harvested…