36 citations · 97 across the 5 of their papers we have counts for
6 papers
Secrecy Capacity of Colored Gaussian Noise Channels with Feedback
Chong Li, Yingbin Liang, H. Vincent Poor +1
In this paper, the k-th order autoregressive moving average (ARMA(k)) Gaussian wiretap channel with noiseless causal feedback is considered, in which an eavesdropper receives noisy…
Critical Points of Neural Networks: Analytical Forms and Landscape Properties
Yi Zhou, Yingbin Liang
Due to the success of deep learning to solving a variety of challenging machine learning tasks, there is a rising interest in understanding loss functions for training neural netwo…
Characterization of Gradient Dominance and Regularity Conditions for Neural Networks
Yi Zhou, Yingbin Liang
The past decade has witnessed a successful application of deep learning to solving many challenging problems in machine learning and artificial intelligence. However, the loss func…
Nonconvex Low-Rank Matrix Recovery with Arbitrary Outliers via Median-Truncated Gradient Descent
Yuanxin Li, Yuejie Chi, Huishuai Zhang +1
Recent work has demonstrated the effectiveness of gradient descent for directly recovering the factors of low-rank matrices from random linear measurements in a globally convergent…
Convergence Analysis of Proximal Gradient with Momentum for Nonconvex Optimization
Qunwei Li, Yi Zhou, Yingbin Liang +1
In many modern machine learning applications, structures of underlying mathematical models often yield nonconvex optimization problems. Due to the intractability of nonconvexity, t…
State-Dependent Gaussian Multiple Access Channels: New Outer Bounds and Capacity Results
Wei Yang, Yingbin Liang, Shlomo Shamai +1
This paper studies a two-user state-dependent Gaussian multiple-access channel (MAC) with state noncausally known at one encoder. Two scenarios are considered: i) each user wishes…