Gurmail Singh

Faculty Associate
Department of Computer Sciences
University of Wisconsin-Madison
Email: First_name "dot" Last_name "at" wisc.edu
Office: 7354, 1210 W. Dayton St, Madison, WI 53706

I am a Faculty Associate in the Department of Computer Sciences at the University of Wisconsin-Madison. Previously, I was a research associate at the University of Regina in the Faculty of Engineering and Applied Science (worked with Prof. Kin-Choong Yow), the Department of Computer Science (worked with Prof. Sandra Zilles), and the Department of Mathematics and Statistics (worked with Prof. Allen Herman and Prof. Shaun Fallat). In 2015, I completed my Ph.D. in Mathematics at the University of Regina under the supervision of Prof. Allen Herman and Prof. Shaun Fallat. However, I have been doing research in Computer Science (Machine Learning/Deep Learning and Computational Learning Theory) since May 2018.

Research

Machine learning/artificial intelligence, computational learning theory, computer vision, natural language processing, reality-based algebras, Hopf algebra, and representation theory.

Research Papers in Computer Science and Mathematics

Papers in Computer Science

  1. Bruno José Souza, Stefano Frizzo Stefenon, Gurmail Singh, Roberto Zanetti Freire. Hybrid YOLOv5x for classification of insulators defects in transmission lines based on UAV. International Journal of Electrical Power and Energy Systems, vol 148, 108982, June 2023. DOI: https://doi.org/10.1016/j.ijepes.2023.108982.
  2. Gurmail Singh. Think positive: An interpretable neural network for image recognition. Neural Networks, vol 151, 178-189, July 2022. DOI: 10.1016/j.neunet.2022.03.034.
  3. Stéfano Frizzo Stefenon, Gurmail Singh, Kin-Choong Yow, and Alessandro Cimatti. Semi-ProtoPNet deep neural network for the classification of defective power grid distribution structures. Sensors, 22 (13), 4859, June 2022. DOI: 10.3390/s22134859.
  4. Gurmail Singh and Kin-Choong Yow. Object or background: An interpretable deep learning model for COVID-19 detection from CT-scan images. Diagnostics, 11(9), 1732, September 2021. DOI: 10.3390/diagnostics11091732.
  5. Gurmail Singh and Kin-Choong Yow. An interpretable deep learning model for COVID-19 detection with chest x-ray images. IEEE Access, vol. 9, 85198-85208, June 2021. DOI: 10.1109/ACCESS.2021.3087583.
  6. Gurmail Singh and Kin-Choong Yow. These do not look like those: An interpretable deep learning model for image recognition. IEEE Access, vol. 9, pp. 41482-41493, March 2021. DOI: 10.1109/ACCESS.2021.3064838.

Papers in Mathematics

  1. Gurmail Singh, Diagonal torsion matrices associated with modular data, Algebra and Discrete Mathematics, 32(1), 2021, 127-137.
  2. Gurmail Singh, Bialgebra structures on table algebras, Linear and Multilinear Algebra, 69 (12), 2021, 2288-2314.
  3. Allen Herman and Gurmail Singh, Extending table algebras to Hopf algebras, International Electronic Journal of Algebra, 26, 2019, 13-28.
  4. Gurmail Singh, Classification of homogeneous Fourier matrices, Algebra and Discrete Mathematics, 27 (1), 2019, 75-84.
  5. Gurmail Singh, Fourier matrices of small rank, Journal of Algebra Combinatorics Discrete Structures and Applications, 5 (2), 2018, 51-63.
  6. Allen Herman and Gurmail Singh, Orders of torsion units of integral reality-based algebras with positive degree map having rational multiplicities, Journal of Algebra and Its Applications, 17 (1) 2018, 1850015 (12 pages).
  7. Andreas Bachle, Allen Herman, Alexander Konovalov, Leo Margolis, and Gurmail Singh, The status of the Zassenhaus conjecture for small groups, Experimental Mathematics, 27 (4), 2017, 431-436.
  8. Allen Herman and Gurmail Singh, Central torsion units of integral reality-based algebras with a positive degree map, International Electronic Journal of Algebra, 21, 2017, 121-126
  9. Allen Herman and Gurmail Singh, Revisiting the Zassenhaus Conjecture on torsion units for the integral group rings of small groups, Proceedings - Mathematical Sciences, Indian Academy of Sciences, 125 (2), 2015, 167-172.
  10. Allen Herman and Gurmail Singh, Torsion units of integral C-algebras, JP Journal of Algebra, Number Theory, and Applications, 36 (2), 2015, 141-155.
  11. Allen Herman and Gurmail Singh, On the torsion units of integral adjacency algebras of finite association schemes, Algebra, 14, 2014, 1-5.

Presentations/Talks

Oral Presentations/Talks in Computer Science

  1. Multiple Character n-Gram Embeddings to Improve RNN Language Models. Artificial Intelligence Research Group, Faculty of Engineering and Applied Science, University of Regina, November 02, 2021.
  2. Negative reasoning process of a deep learning model. Artificial Intelligence Research Group, Faculty of Engineering and Applied Science, University of Regina, March 17, 2021.
  3. Classification of images with recognition of prototypes of the images. Artificial Intelligence Research Group, Faculty of Engineering and Applied Science, University of Regina, November 25, 2020.
  4. Image prediction with interpretable Deep Learning models. Artificial Intelligence Research Group, Faculty of Engineering and Applied Science, University of Regina, September 09, 2020.
  5. Interpretability of Deep Learning models. Artificial Intelligence Research Group, Faculty of Engineering and Applied Science, University of Regina, July 1, 2020.
  6. Suicide risk prediction through Machine Learning. Artificial Intelligence Research Group, Faculty of Engineering and Applied Science, University of Regina, May 13, 2020.
  7. Random forests and imputation methods. Artificial Intelligence Research Group, Faculty of Engineering and Applied Science, University of Regina, March 4, 2020.
  8. A survey of regression trees and decision trees. Artificial Intelligence Research Group, Faculty of Engineering and Applied Science, University of Regina, February 26, 2020.
  9. (Invited lecture) Encoding the vertices of a hyper cube. Scientific Sessions: Matrix Theory and its Applications. CMS Summer Meeting at University of Regina, Canada, June 10, 2019.
  10. Subset teaching dimension of maximum concept classes with VC-dimension 2 Computational Learning Theory Seminar, University of Regina, June 4, 2019.
  11. Concept Classes over 6 Instances with VC-dimension 2. Computational Learning Theory Seminar, University of Regina, May 31, 2018.

Oral Presentations/Talks in Mathematics

  1. (Contributed talk) Central normalized torsion units of integral RBAs and group rings. The Conference on Groups, Rings and Associated Structures at Domain Sol Cress, Spa, Belgium, June 14, 2019.
  2. (Contributed talk) Non-homogeneous Fourier Matrices. Prairie Discrete Math Workshop, Brandon University, Canada, June 13, 2018.
  3. (Invited lecture) C-algebras arising from integral Fourier matrices. Symposium: Linear Algebra Aspects of Association Schemes (ILAS Conference) Iowa State University, USA, July 26, 2017.
  4. (Contributed talk) Homogeneous Integral Fourier Matrices. Prairie Discrete Math Workshop Living Skies Conference Centre, Lumsden, Saskatchewan, Canada, June 04, 2017.
  5. Torsion units of integral reality-based algebras with rational multiplicities. Departmental Colloquium, University of Regina, January 20, 2017.
  6. A survey of reality-based algebras. Mathematics Seminar, University of Regina, November 28, 2016.
  7. Normalized torsion units of reality-based algebras with pseudo-standard character Algebra Seminar, University of Regina, November 08, 2016.
  8. When does a table algebra have rational multiplicities? Departmental Colloquium, University of Regina, October 21, 2016.
  9. Central torsion units of integral reality-based algebras with a positive degree map. Algebra Seminar, University of Regina, August 23, 2016.
  10. Torsion units of C-algebras. Departmental Colloquium, University of Regina, August 29, 2014.
  11. (Contributed talk) Torsion units of integral adjacency rings of finite association schemes. Brock International Conference on Groups, Rings and Group Rings Brock University, Canada, August 01, 2014.
  12. Affine schemes. Algebraic Geometry Seminar, University of Regina, March 21, 2012.

Awards

Course Instructor (Spring 2015 to Fall 2022)

Teaching in Computer Sciences

Department of Computer Sciences, University of Wisconsin-Madison, Madison, Wisconsin, USA Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada

Teaching in Mathematics and Statistics

Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada

Lab Instructor/Teaching Assistant (Winter 2015)

Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada

Assistant Professor, tenure-track (July 2009 to June 2011)

Department of Mathematics, Babbar Akali Memorial Khalsa College, Garhshankar, Punjab, India

I taught the following courses (pre-calculus to graduate level) from July 2009 to June 2011. Graduate Level Courses: Algebra, Real Analysis, Topology, Functional Analysis, Complex Analysis, Numerical Analysis, Number Theory, Differential Geometry, Mechanics, Probability and Statistics. Undergraduate Level Courses: Calculus I, II, III, Vector Calculus, Analysis, Euclidian Geometry, Linear Algebra, Differential and Integral Equations.

College Lecturer, two-year term-position (July 2007 to June 2009)

Department of Mathematics, BLM Girls College, Nawanshahr, Punjab, India

I taught the following courses to undergraduate students from July 2007 to June 2009. Precalculus, Calculus I, II, III, Vector Calculus, Abstract Algebra, Functional Analysis, Complex Analysis, Euclidian Geometry, Linear Algebra, Differential Equations, Introductory Probability, Numerical Analysis, and Mechanics. Also, I taught programming in C and C++ of Numerical Analysis to Computer Applications class.

Schedule

Spring 2023
Time Monday Tuesday Wednesday Thursday Friday
 
11:25-12:10
 
Office Hour Office Hour Office Hour
 
12:15-1:00
 
TA Meeting Faculty Meeting PM Meeting
 
1:20-2:10
 
CS220-003 CS220-003 CS220-003
 
2:25-3:10
 
Office Hour Office Hour Office Hour
 
3:30-4:20
 
CS220-004 CS220-004 CS220-004