Research
Publication
Ergodic Theory
Journal Articles
Slow entropy of some combinatorial constructions (with P. Kunde and D. Wei), Nonlinearity, Volume 36, Number 6, April 2023, pp. 2923–2974; arXiv:2010.14472 [math.DS].
Slow entropy for some Anosov-Katok diffeomorphisms (with P. Kunde and D. Wei); Discrete and Continuous Dynamical Systems, Volume 43, January 2023, pp. 209-255; arXiv:2109.08602 [math.DS].
Real-analytic realization of Uniform Circular Systems and some applications (with P. Kunde); Journal d'Analyse Mathematique, Volume 148, Issue 2, December 2022, pp. 399–445; arXiv:1705.05079 [math.DS].
Real-analytic AbC constructions on the torus (with P. Kunde); Ergodic Theory and Dynamical Systems, Volume 39, Issue 10, October 2019, pp. 2643-2688; arXiv:1611.06621 [math.DS].
Non-standard real-analytic realizations of some rotations of the circle; Ergodic Theory and Dynamical Systems, Volume 37, Issue 5, August 2017, pp. 1369-1386; arXiv:1501.01531 [math.DS], Correction.
Preprint
Real-analytic diffeomorphisms with homogeneous spectrum and disjointness of convolutions (with P. Kunde); arXiv:1711.02537 [math.DS].
Information and entropy in dynamical systems. An introduction (with F. Ledrappier); Unpublished Bedlewo lectures delivered by F. Ledrappier; pdf.
Machine Learning
Conference Proceedings
SAU: Smooth activation function using convolution with approximate identities (K. Biswas, S. Kumar, S. Banerjee, A. Pandey); In: Avidan, S., Brostow, G., Cissé, M., Farinella, G.M., Hassner, T. (eds) Computer Vision – ECCV 2022. ECCV 2022. Lecture Notes in Computer Science, vol 13681. Springer, Cham.
Smooth Maximum Unit: Smooth Activation Function for Deep Networks using Smoothing Maximum Technique (K. Biswas, S. Kumar, S. Banerjee, A. Pandey); Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR), 2022, pp. 784-793.
ErfAct and Pserf: Non-monotonic Smooth Trainable Activation Functions (K. Biswas, S. Kumar, S. Banerjee, A. Pandey); Proceedings of the AAAI Conference on Artificial Intelligence. 36, 6 (Jun. 2022), 6097-6105.
EIS - Efficient and Trainable Activation Functions for Better Accuracy and Performance (K. Biswas, S. Kumar, S. Banerjee, A. Pandey); In: Farkaš I., Masulli P., Otte S., Wermter S. (eds) Artificial Neural Networks and Machine Learning – ICANN 2021. ICANN 2021. Lecture Notes in Computer Science, vol 12892. Springer, Cham.
Journal Articles
TanhSoft - Dynamic Trainable Activation Functions for Faster Learning and Better Performance (K. Biswas, S. Kumar, S. Banerjee, A. Pandey); IEEE Access, Volume 9, August 2021, pp. 120613 - 120623.
Other areas
Journal Articles
Revisiting the use of squared magnitude function for the optimal approximation of (1+α)-order Butterworth filter (S. Mahata, S. Banerjee, R. Kar and D. Mandal); AEU - International Journal of Electronics and Communications, Volume 110, October 2019.
Preprint
Ergodic and mixing quantum channels: From two-qubit to many-body quantum systems (S. Aravinda, S. Banerjee, R. Modak); arXiv:2310.02740 [quant-ph].
Invited talks
Apr 2024, Topology & Geometry Seminar, National University of Singapore, Singapore.
Mar 2023, Pi-Day Seminar, Indian Institute of Technology Tirupati, India.
Nov 2022, Seminar, Indian Institute of Science Education and Research, Tirupati, India.
Sep 2022, ETDS Seminar, Tata Institute of Fundamental Research, Mumbai, India. (Online)
Jun 2022, Colloquium, Tata Institute of Fundamental Research - Center for Applicable Mathematics, Bangalore, India.
May 2021, Lowlands Dynamics Seminar (joint with P. Kunde), Vrije Universiteit Amsterdam and Universität Hamburg, Netherlands & Germany. (Online)
Nov 2020, Department of Mathematics and Statistics Webinar, Indian Institute of Technology Tirupati, India. (Online)
Oct-Nov 2020, Ergodic theory, classification theorems, and holomorphic dynamics, Minicourse (joint with S. Mukherjee), Indian Institute of Science Education and Research Kolkata, India. (Online)
Sep 2019, Mathematics seminar, Jawaharlal Nehru University, Delhi, India.
Aug 2019, Faculty Development Program, Shivaji College and Hansraj College, Delhi, India.
Mar 2015, Dynamical systems seminar, The Pennsylvania State University, University Park, U.S.A.
Mar 2013, Gaussian Dynamical Systems (3 part mini series), Working Seminar: Dynamics and its Working Tools, The Pennsylvania State University, University Park, U.S.A.