11 papers
Hybrid Neural-Classical Correction for Frozen Time Series Foundation Models: A Comprehensive Ablation Study on High-Frequency Stock Prediction
Kasun Dewage, Suranadi De Silva, Shankhadeep Mondal
Foundation models for time series forecasting demonstrate impressive zero-shot generalization but often underperform on specialized domains such as high-frequency finance. We prese…
The structure of optimal dual frames for probabilistic erasures under Hilbert--Schmidt norm
Shankhadeep Mondal, R. N. Mohapatra, Jen-Chih Yao
Frames provide redundant representations that enable stable signal reconstruction under coefficient losses. In this paper, we study optimal dual frames for probabilistic erasures u…
Inequalities for Pairs of Measure Spaces and Applications
P. D. Johnson, R. N. Mohapatra, Shankhadeep Mondal
We study a family of inequalities on pairs of measure spaces involving functions defined on product domains. Our main result establishes a Jensen-type inequality under a general pr…
Refined upper bounds for the numerical radius via weighted operator means
Shankhadeep Mondal, Ram Narayan Mohapatra, Kasun Tharuka Dewage
We establish new upper bounds for the numerical radius of bounded linear operators on a complex Hilbert space by introducing weighted geometric means of the modulus of an operator…
When Mathematics Meets Painting: Fibonacci Geometry, Cubism and Visual Abstraction
Shankhadeep Mondal, R. N. Mohapatra
This paper explores the Fibonacci sequence and the Golden Ratio as organizing principles for visual composition and abstraction in painting. The author shows how recursive proporti…
Designing optimal dual frames for average error optimization
Shankhadeep Mondal, Deguang Han, R. N. Mohapatra
In this paper, we investigates the problem of optimal dual frame selection for signal reconstruction in the presence of erasures. Unlike traditional approaches relying on left inve…