· Paper Publications
Cosme Louart, Zhenyu Liao, and Romain Couillet. A Random Matrix Approach to Neural Networks. The Annals of Applied Probability 28(2) (Apr. 2018), 1190–1248..
Zhenyu Liao and Romain Couillet. A Large Dimensional Analysis of Least Squares Support Vector Machines. IEEE Transactions on Signal Processing 67(4) (Feb. 2019), 1065–1074..
Zhenyu Liao, Romain Couillet, and Michael W Mahoney. A random matrix analysis of random Fourier features: beyond the Gaussian kernel, a precise phase transition, and the corresponding double descent. Journal of Statistical Mechanics: Theory and Experiment 2021(12) (Dec. 2021), 124006..
Zhenyu Liao and Romain Couillet. On the Spectrum of Random Features Maps of High Dimensional Data. International Conference on Machine Learning (ICML). Vol. 80. PMLR, July, 2018, pp.3063–3071..
Zhenyu Liao and Romain Couillet. The Dynamics of Learning: A Random Matrix Approach. International Conference on Machine Learning (ICML). Vol. 80. PMLR, July 2018, pp.3072–3081..
Michal Derezinski, Feynman T Liang, Zhenyu Liao, and Michael W. Mahoney. Precise expressions for random projections: Low-rank approximation and randomized Newton. Advances in Neural Information Processing Systems (NeurIPS). Vol. 33. Curran Associates, Inc., 2020, pp.18272–18283..
Zhenyu Liao, Romain Couillet, and Michael W. Mahoney. A Random Matrix Analysis of Random Fourier Features: Beyond the Gaussian Kernel, A Precise Phase Transition, and the Corresponding Double Descent. Advances in Neural Information Processing Systems (NeurIPS). Vol. 33. Curran Associates, Inc., 2020, pp.13939–13950..
Fanghui Liu, Zhenyu Liao, and Johan Suykens. Kernel Regression in High Dimension: Refined Analysis beyond Double Descent. International Conference on Artificial Intelligence and Statistics (AISTATS). Vol. 130. PMLR, 13–15 Apr 2021, pp.649–657..
Zhenyu Liao, Romain Couillet, and Michael W. Mahoney. Sparse Quantized Spectral Clustering. International Conference on Learning Representations (ICLR). 2021..
Michal Derezinski, Zhenyu Liao, Edgar Dobriban, and Michael Mahoney. Sparse sketches with small inversion bias. Conference on Learning Theory (COLT). Vol. 134. PMLR, 15–19, Aug 2021, pp.1467–1510..