We derive non-asymptotic spectral bands that bound the squared InfoNCE gradient norm via alignment, temperature, and batch spectrum, recovering the 1/τ2 law and closely tracking batch-mean gradients on synthetic data and ImageNet.

Memorization happens through the entire SSL encoder .

We provide hyper-parameters of our models in Table A.1. Table A.1: Hyper-parameters used for training our VisualCSE and AudioCSE. Vision, we use Dropout augmentation (the same strategy in SimCSE) for AudioCSE. We compare unsup-SimCSE and unsup-VisualCSE on a small scale retrieval test. As shown in Table C.1, VisualCSE generally retrieves qualitatively different sentences than SimCSE.

Thus, instead of simply detecting changed pixels, we want to identify change events. We define a change event as a group of pixels over space and time that are all changed by a single event. Weareinterested indeveloping systems thatcanautomatically detectchangeeventsandassign to each a semantic label that indicates the nature of the event, e.g., forest fires, road construction etc. Identifying change events is a much more challenging problem than change detection.

Recovering SimCLR with Cosine Similarity.Now,since we are using the cosine distance, defined asf(x,y) =

In doing so, we are able to find the exact settings for which different methodsprovablybecome identical.

Here are the five models that we used, in increasing order of adversarialrobustness: = 0,0.5,1.0,3.0,5.0. Three ImageNet-trained vision transformer (ViT) models [47] were obtained from pytorch-image-models [48]. Note that the "imagenet1k" suffixinthe model names does not mean the model wasonly trained on ImageNet1K. Observation: A vision transformer (ViT-S) indeed shows higher error consistency with ResNet-50 than with BagNet-9 (see Table 1). Further insights could be gained by testing successively more constrained versions of the samebasemodel.