Residual neural networks (ResNets) solve the vanishing gradient problem through shortcut connections that allow gradients to flow directly through the network. The ResNet architecture consists of repeating blocks with convolutional layers and shortcut connections. These connections perform identity mappings and add the outputs of the convolutional layers to the shortcut connection. This helps networks converge earlier and increases accuracy. Variants include basic blocks with two convolutional layers and bottleneck blocks with three layers. Parameters like number of layers affect ResNet performance, with deeper networks showing improved accuracy. YOLO is a variant that replaces the softmax layer with a 1x1 convolutional layer and logistic function for multi-label classification.