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pro vyhledávání: '"MUKHERJEE, ARIJIT"'
Autor:
Mukherjee, Arijit
Given a positive integer $n$ and a partition $(n_1,\ldots,n_r)$ of $n$, one can consider the $n$-dimensional multiprojective space $\mathbb{P}^{n_1}\times \cdots \times \mathbb{P}^{n_r}$ corresponding to that partition. In this paper, we classify the
Externí odkaz:
http://arxiv.org/abs/2405.16198
Autor:
Roychowdhury, Sohini, Krema, Marko, Mahammad, Anvar, Moore, Brian, Mukherjee, Arijit, Prakashchandra, Punit
Large language models (LLMs) with retrieval augmented-generation (RAG) have been the optimal choice for scalable generative AI solutions in the recent past. Although RAG implemented with AI agents (agentic-RAG) has been recently popularized, its suff
Externí odkaz:
http://arxiv.org/abs/2405.03963
Autor:
Mukherjee, Arijit
In this paper, we describe the entire structure of the vector space $Sym_2^0$ of all symmetric matrices of size $2$ having trace zero. This is motivated by the geometrical interpretation of any arbitrary element of $Sym_2^0$. We further study the orb
Externí odkaz:
http://arxiv.org/abs/2403.11201
Autor:
Mukherjee, Arijit, Nagaraj, D S
In this paper, we introduce the notion of the diagonal property and the weak point property for an ind-variety. We prove that the ind-varieties of higher rank divisors of integral slopes on a smooth projective curve have the weak point property. More
Externí odkaz:
http://arxiv.org/abs/2401.00852
Publikováno v:
LBQNN@ICCV2023
Multiple Deep Neural Networks (DNNs) integrated into single Deep Learning (DL) inference pipelines e.g. Multi-Task Learning (MTL) or Ensemble Learning (EL), etc., albeit very accurate, pose challenges for edge deployment. In these systems, models var
Externí odkaz:
http://arxiv.org/abs/2311.05870
Autor:
Roychowdhury, Sohini, Alvarez, Andres, Moore, Brian, Krema, Marko, Gelpi, Maria Paz, Rodriguez, Federico Martin, Rodriguez, Angel, Cabrejas, Jose Ramon, Serrano, Pablo Martinez, Agrawal, Punit, Mukherjee, Arijit
Large Language Models (LLMs) have been applied to build several automation and personalized question-answering prototypes so far. However, scaling such prototypes to robust products with minimized hallucinations or fake responses still remains an ope
Externí odkaz:
http://arxiv.org/abs/2311.07592
Autor:
Mukherjee, Arijit
Publikováno v:
Indian Growth and Development Review, 2024, Vol. 17, Issue 2, pp. 224-231.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/IGDR-10-2023-0162
Let $X$ denote a noncompact finite volume hyperbolic Riemann surface of genus $g\geq 2$, with only one puncture at $i\infty$ (identifying $X$ with its universal cover $\mathbb{H}$). Let $\overline{X}:=X\cup\lbrace i\infty\rbrace$ denote the Satake co
Externí odkaz:
http://arxiv.org/abs/2305.11609
Autor:
Mukherjee, Arijit
In this paper, we introduce the notion of the diagonal property and the weak point property for an ind-variety. We prove that the ind-varieties of higher rank divisors of integral slopes on a smooth projective curve have the weak point property. More
Externí odkaz:
http://arxiv.org/abs/2212.04238
Autor:
Can, Gökhan1 (AUTHOR), Mukherjee, Arijit2,3,4,5 (AUTHOR) ar_25@hotmail.com
Publikováno v:
B.E. Journal of Economic Analysis & Policy. Nov2024, p1. 11p.