2021 IEEE International Conference on Acoustics, Speech and Signal Processing

6-11 June 2021 • Toronto, Ontario, Canada

Extracting Knowledge from Information

2021 IEEE International Conference on Acoustics, Speech and Signal Processing

6-11 June 2021 • Toronto, Ontario, Canada

Extracting Knowledge from Information
Login Paper Search My Schedule Paper Index Help

My ICASSP 2021 Schedule

Note: Your custom schedule will not be saved unless you create a new account or login to an existing account.
  1. Create a login based on your email (takes less than one minute)
  2. Perform 'Paper Search'
  3. Select papers that you desire to save in your personalized schedule
  4. Click on 'My Schedule' to see the current list of selected papers
  5. Click on 'Printable Version' to create a separate window suitable for printing (the header and menu will appear, but will not actually print)

Paper Detail

Paper IDSPTM-14.5
Paper Title IMPROVED COVARIANCE MATRIX ESTIMATION WITH AN APPLICATION IN PORTFOLIO OPTIMIZATION
Authors Samruddhi Deshmukh, needl.ai, India; Amartansh Dubey, Hong Kong University of Science and Technology, Hong Kong SAR China
SessionSPTM-14: Models, Methods and Algorithms 2
LocationGather.Town
Session Time:Thursday, 10 June, 13:00 - 13:45
Presentation Time:Thursday, 10 June, 13:00 - 13:45
Presentation Poster
Topic Signal Processing Theory and Methods: [SSP] Statistical Signal Processing
Abstract One of the major challenges in multivariate analysis is the estimation of population covariance matrix from the sample covariance matrix (SCM). Most recent covariance matrix estimators use either shrinkage transformations or asymptotic results from Random Matrix Theory (RMT). Both of these techniques try to achieve a similar goal which is to remove noisy correlations and add structure to SCM to overcome the bias-variance trade-off. Both methods have their respective pros and cons. In this paper, we propose an improved estimator which exploits the advantages of these techniques by taking optimally weighted convex combination of covariance matrices estimated by shrinkage transformation and a filter based on RMT. It is a generalized estimator which can adapt to changing sampling noise conditions by performing hyperparameter optimization. Using data from six of the world's biggest stock exchanges, we show that the proposed estimator outperforms the existing estimators in minimizing the out-of-sample risk of the portfolio and hence predicts population statistics more precisely. The proposed estimator can be useful in a wide range of machine learning and signal processing applications.