Bhaskar Paul

collaborators

9 papers

cs.LG2026

When Local Variance Optimality Is Not Enough: RoPE-Aligned Q/K Rotations for Dynamic 4-Bit Quantisation

Shuhan Wang, Yilin Luo, Nan Xu +1

Rotation-based post-training quantisation commonly applies an orthogonal transform across an entire attention head to reduce outlier-induced error. RoPE instead partitions each hea…

math.FA2026

On the Dilation Theory and Canonical Decomposition of $Θ_{n}$ -Contractions

Aparna Gupta, Avijit Pal, Bhaskar Paul

This paper studies the domain $Θ_{n}$ from the perspective of operator theory. We obtain several characterizations of $Θ_{n}$ -contractions (respectively, $Θ_{n}$ -uni…

math.FA2026

Rational $Θ_{n}$ -Inner Function and its Application in Interpolation Problem

Dinesh Kumar Keshari, Suryanarayan Nayak, Avijit Pal +1

In this paper, we investigate several geometric and function-theoretic properties of the domain $Θ_{n}$ . We obtain new characterizations of its distinguished boundary and intr…

math.FA2025

Functional models for $I^_{n}$ -contractions

Shubhankar Mandal, Avijit Pal, Bhaskar Paul

This article develops several functional models for a given $I^_{n}$ -contraction. The first model is motivated by the Douglas functional model for a contraction. We then establish fa…

math.FA2025

Admissible Fundamental Operators and Models for $I^_{E (3; 3; 1, 1, 1)}$ -contraction and $I^_{E (3; 2; 1, 2)}$ -contraction

Avijit Pal, Bhaskar Paul

We show that for a given pure contraction $T_{7}$ acting on a Hilbert space $H$ , if $(F ~_{1}, \dots, F ~_{6}) \in B (D_{T_{7}^{*}})$ with $[\tilde{F…

math.FA2025

Functional Models for $I^_{E (3; 3; 1, 1, 1)}$ -contraction, $I^_{E (3; 2; 1, 2)}$ -contraction and Tetrablock contraction

Dinesh Kumar Keshari, Suryanarayan Nayak, Avijit Pal +1

We obtain various characterizations of the fundamental operators of $I^_{E (3; 3; 1, 1, 1)}$ -contraction and $I^_{E (3; 2; 1, 2)}$ -contraction. We also demonstrate some important rel…

When Local Variance Optimality Is Not Enough: RoPE-Aligned Q/K Rotations for Dynamic 4-Bit Quantisation

On the Dilation Theory and Canonical Decomposition of Θn​-Contractions

Rational Θn​-Inner Function and its Application in Interpolation Problem

Functional models for I^n​-contractions

Admissible Fundamental Operators and Models for I^E(3;3;1,1,1)​-contraction and I^E(3;2;1,2)​-contraction

Functional Models for I^E(3;3;1,1,1)​-contraction, I^E(3;2;1,2)​-contraction and Tetrablock contraction

On the Dilation Theory and Canonical Decomposition of $Θ_{n}$ -Contractions

Rational $Θ_{n}$ -Inner Function and its Application in Interpolation Problem

Functional models for $I^_{n}$ -contractions

Admissible Fundamental Operators and Models for $I^_{E (3; 3; 1, 1, 1)}$ -contraction and $I^_{E (3; 2; 1, 2)}$ -contraction

Functional Models for $I^_{E (3; 3; 1, 1, 1)}$ -contraction, $I^_{E (3; 2; 1, 2)}$ -contraction and Tetrablock contraction