Explore recent advancements in tensor networks for machine learning and quantum computing simulation in this comprehensive lecture by Roman Orus from the Donostia International Physics Center. Delve into the application of tensor networks to enhance various machine learning models, including deep neural networks, convolutional networks, and large language models. Gain insights into the latest developments in simulating quantum processors using Projected Entangled Pair States. Recorded at IPAM's Tensor Networks Workshop, this hour-long presentation offers a thorough review of cutting-edge research in the field, providing valuable knowledge for those interested in the intersection of tensor networks, machine learning, and quantum computing.