9 papers
Sharp Spectral Bounds for Symmetric Positive Definite Tensors via Multiple Algebraic Invariants
Hemant Sharma, Snigdhashree Nayak, Ankit Singh
We extend the trace--determinant framework of Nayak, Sharma, and Mishra~\cite{nayak2026} for bounding the H-eigenvalues of symmetric positive definite tensors. First, we replace th…
Randomized Estimation of T-Eigenvalues of T-SPD Tensors: A Two-Sided Bracket
Hemant Sharma, Nachiketa Mishra
In earlier work \cite{sharma2025} we developed deterministic analytical bounds on the T-eigenvalues of symmetric positive definite (SPD) third-order tensors under the Kilmer--Marti…
CVEvolve: Autonomous Algorithm Discovery for Unstructured Scientific Data Processing
Ming Du, Xiangyu Yin, Yanqi Luo +4
Scientific data processing often requires task-specific algorithms or AI models, creating a barrier for domain scientists who need to analyze their data but may not have extensive…
Sharp Convergence Rates and Optimal Weights for Cimmino's Reflection Algorithm
Hemant Sharma
In this paper, Cimmino's classical reflection algorithm for solving the nonsingular linear system $A\bx=\bb$ is analysed through the lens of spectral theory. Reformulat…
Catalytic entanglement transformations with noisy hardware
Hemant Sharma, Aleksandr Mokeev, Jonas Helsen +1
The availability of certain entangled resource states (catalyst states) can enhance the rate of converting several less entangled states into fewer highly entangled states in a pro…
Spectral Bounds for Tensors Derived from Trace Functionals and Wasserstein Distance in Tensor Spaces
Hemant Sharma, Nachiketa Mishra
This article introduces a trace-based metric on the space of positive semi-definite (PSD) tensors, offering a geometric perspective that connects their algebraic structure to their…