Proposition 4.2.7. Let D be a nonprincipal ultrafilter. Then there is a greatest cardinal α such that D is α-complete. Moreover, α is a measurable cardinal. Proof. Since D is not principal, there exists a least cardinal β such that D is not β-complete. β cannot be a limit ca...
must drive 2000 visitors. Someone else isn’t quite as happy. They radically change their messaging. Perhaps it bombs and they drive 7 viewers. They now know that the original 1000-viewer idea was much closer to the ‘right’ direction (remember, success, as complicated as it may be, take...
Maps demonstrate the alchemy of words and pictures, that magic picture book double act. Words & Pictures and your imagination are doing the work of together creating a whole new thing. And because your imagination helped make it, it’s unique. So the map is words and pictures glued all tog...
It is, then, at least possible that the behavioral probing elicits the correspondence in the first place (that is, by setting up the relevant contrast/dimen- sion).7 Here, we want to argue that the characteristics of crossmodal correspondences are at least as likely to resem- ble the ...
Red Riding Hood is a tale that came out of the terror of the forests – the ancient human struggle for survival against nature and predators. But things aren’t like this anymore – we’ve remade the landscape of our planet and its animals to support nearly 7 billion humans on Earth. It...
Each parameter in Θ is updated by stochastic gradient descent in back propagation algorithm below: WS(l) = Ws(l) − ∂J µ ∂ WS(l) , (7) b(Sl) = b(sl) − ∂J µ ∂ b(Sl) , WT(l) = WT(l) − ∂J µ ∂ WT(l) , (8) (9) b(Tl) = b(Tl) ...
We present experiments showing that convolutional networks can learn to identify words that are relevant to a particular image, despite being trained on the very noisy targets of Fig.1. In particular, our experiments show that the visual features learned by weakly-supervised models are as good as...
An image is worth 16x16 words: Transformers for image recognition at scale. In Proc. International Conference on Learning Repre- sentations (ICLR), 2021. 2, 3, 5, 7 [19] Thibaut Durand, Nazanin Mehrasa, and Greg Mori. Learn- ing...
Another focus is to determine the diameter of the reconfiguration graph in case it is connected or the diameter of its components if it is disconnected [2], [3], [5], [7], [11]. We refer the reader to [13], [15] for excellent surveys on reconfiguration problems. In this note, ...
Physically, the presence of the right-hand side in both (6) and (7) indicates that mechanical energy Em is not a conservative quantity. The principle of total energy conservation suggests that the r.h.s. must therefore represent a conversion with internal energy. In order to make this ...