Dr. Dong Wang is based at the Department of Industrial Engineering and Management, School of Mechanical Engineering, Shanghai Jiao Tong University, China. Dr Wang has over 15 years' research experience on machine condition monitoring and fault diagnosis. Dr Wang's research focuses on the theoretical foundations of fault feature extraction and their applications to machine condition monitoring, fault diagnosis and prognostics Tongtong Yan received her B.E. degree from Central South University in Changsha, China, in 2019. She is currently pursuing her Ph.D. in the Department of Industrial Engineering and Management and in the State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, China. Her research interests include interpretable convex optimization modeling, machine learning, statistical learning, machine condition monitoring, performance degradation assessment, and fault diagnosis

• 1. Machine performance degradation assessment2. Fundamentals of convex optimization3. Machine degradation processes related mathematical properties4. Generalized health index weight optimization models based on degradation properties and amplitude fusion in the frequency domain5. Generalized health index weight optimization models based on fault feature sparsity and amplitude fusion in the envelope spectral domain6. Conclusions