You want your neural net algorithm to learn sequences? Do not just use conventional gradient descent (or approximations thereof) in recurrent nets, time-delay nets etc. Instead, use your sequence learning algorithm to implement the following method: No matter what your nal goals are, train a network to predict its next input from the previous ones. Since only unpredictable inputs convey new inf...

We present a model of dependent type theory (DTT) with Π-, 1-, Σand intensional Id-types, which is based on a slight variation of the category of AJM-games and history-free winning strategies. The model satisfies Streicher’s criteria of intensionality and refutes function extensionality. The principle of uniqueness of identity proofs is satisfied. We show it contains a submodel as a full subcat...

In this contribution we study partial orders in the set of zero-sum arrays. Concretely, these partial orders relate to local and global hierarchy and dominance theories. The exact relation between hierarchy and dominance curves is explained. Based on this investigation we design a new approach for measuring dominance or stated otherwise, power structures, in networks. A new type of Lorenz curve...

With the introduction of the Schrödinger equation in 1926, it was in principle clear how to describe a molecular system and its properties exactly in a nonrelativistic sense. However, for most molecular systems of chemical interest, the analytic solution of the Schrödinger equation is not possible. Therefore, since 1926, a multitude of hierarchical approximations (some of which are displayed in...

The latest cosmological constraints on the sum of neutrino masses, in combination with laboratory measurements oscillations, provide ``decisive" Bayesian evidence for normal mass hierarchy. We show that this result holds across very different prior alternatives by exploring two extremes range choices. In fact, while specific numerical value Evidence depends choice prior, odds remain greater tha...

When acquiring language, young children may use acoustic spectro-temporal patterns in speech to derive phonological units in spoken language (e.g., prosodic stress patterns, syllables, phonemes). Children appear to learn acoustic-phonological mappings rapidly, without direct instruction, yet the underlying developmental mechanisms remain unclear. Across different languages, a relationship betwe...

abstract the traditional or liberal theory of contract always had encounter serious critics. the authors of this article have criticized this theory- based on new theory of unger (a pioneer in the critical legal studies movement) - and also have analyzed the strengths and weaknesses of that. this theory consists of a principle and a counter principle that include freedom of contract against the...