My research lies broadly in harmonic analysis, frame theory, and linear algebra, with a primary focus on the design and analysis of optimal and erasure-resilient dual frames. I am particularly interested in understanding how redundancy, structure, and spectral properties of frames influence stability and reconstruction in the presence of data loss.
Inequalities for Pairs of Measure Spaces and Applications; Shankhadeep Mondal, P. D. Johnson, R. N. Mohapatra, accepted in Mathematische Nachrichten (2026); http://doi.org/10.1002/mana.70250
Robustness of infinite frames and Besselian structures; Shankhadeep Mondal, Geetika Verma and Ram Narayan Mohapatra, https://arxiv.org/abs/2502.09862, (Accepted in Mathematica Slovaca) (2026)DOI: 10.1515/ms-2026-0392
Comments on “Optimal dual frames of probabilistic erasures”, Shankhadeep Mondal, Ram Narayan Mohapatra, IEEE Access,(2026) DOI 10.1109/ACCESS.2026.3668869
"Optimal Dual Frame Pairs: A Synergy with Graph Theory", Shankhadeep Mondal, Ram Narayan Mohapatra, Linear Algebra and its Applications,(2025) https://doi.org/10.1016/j.laa.2025.12.018 Arxiv link.
Optimal dual pairs of frames for erasures; Shankhadeep Mondal, S. Arati, P. Devaraj, Linear and Multilinear Algebra, (2025) https://doi.org/10.1080/03081087.2025.2464649
Design and characterization of optimal dual frames under Hilbert–Schmidt norm, Shankhadeep Mondal, Ram Narayan Mohapatra, Optimization Eruditorum (2025).
Optimal dual frames and dual pairs for probability-modeled erasures, Shankhadeep Mondal, S. Arati, P. Devaraj, Advances in Operator Theory (2024).
Spectrally optimal dual frames for erasures, Shankhadeep Mondal, P. Devaraj, Proceedings – Mathematical Sciences (2023).
Hybrid Neural-Classical Correction for Frozen Time Series Foundation Models: A Comprehensive Ablation Study on High-Frequency Stock Prediction; Kasun Tharuka Dewage, Shankhadeep Mondal , WCCI-2026
On the Compressibility of Fine-Tuned Attention: A Tensor Decomposition Study of PEFT Weight Structure; Kasun Dewage, Shankhadeep Mondal, ICNLP 2026, https://ieeexplore.ieee.org/abstract/document/11527704
LORA-CRAFT: Cross-layer Rank Adaptation via Frozen Tucker Decomposition of Pre-trained Attention Weights; Kasun Dewage, Marianna Pensky, Suranadi De Silva, Shankhadeep Mondal, https://doi.org/10.48550/arXiv.2602.17510 (Accepted in COLM-2026)
The structure of optimal dual frames for probabilistic erasures under Hilbert–Schmidt norm; Shankhadeep Mondal, Ram Narayan Mohapatra, Jen-Chih Yao, https://doi.org/10.48550/arXiv.2606.14002
Jensen-Type Inequalities on Positive Measure Spaces and Their Applications, Shankhadeep Mondal, P. D. Johnson, R. N. Mohapatra (submitted)
Robust dual frames via ℓ𝑝 −average erasure optimization; Shankhadeep Mondal, Deguang Han, Ram Narayan Mohapatra, https://arxiv.org/abs/2508.07158
Optimal dual frames and dual pairs for probability modelled erasures; using weighted average of operator norm and spectral radius, Shankhadeep Mondal, S. Arati, P. Devaraj, https://doi.org/10.48550/arXiv.2411.00502
A Family of Inequalities for Pairs of Measure Spaces; R. N. Mohapatra, P. D. Johnson, Shankhadeep Mondal, https://arxiv.org/abs/2603.06241
Optimal 𝐾 dual frames and pairs in the presence of erasures, Shankhadeep Mondal, Deguang Han, Ram Narayan Mohapatra, https://arxiv.org/abs/2508.01964
When Mathematics Meets Painting: Fibonacci Geometry, Cubism and Visual Abstraction, Shankhadeep Mondal and R. N. Mohapatra, https://arxiv.org/abs/2601.00228
Refined upper bounds for the numerical radius via weighted operator means; Shankhadeep Mondal, Ram Narayan Mohapatra, Kasun Tharuka Dewage, https://arxiv.org/pdf/2602.04134
Extreme points on Optimal Dual Frames for Erasures; S. Mondal, Deguang Han.
Vanishing A-Moment Dilations and Dual Frames; Shankhadeep Mondal, Omar Nour, Deguang Han
Characterization of Equiangular Tight Frame, Shankhadeep Mondal, Deguang Han
ERASURE OPTIMAL SUPERFRAMES FOR MULTIPLEXING ENCODING AND DECODING, Deguang Han, Wenchang Sun, Shankhadeep Mondal
Properties of Tight 𝑝−frames; Deguang Han, Shankhadeep Mondal
R.N. Mohapatra, Deguang Han, David Larson, Devaraj P, Jen-Chih Yao, P. D. Johnson, Geetika Verma, S. Arati, Marianna Pensky, Kasun Tharuka Dewage