A New Method to Compute the Configurational Entropy in Spin Glasses
We propose a new method to compute the configurational entropy of glassy systems as a function of the free energy
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Every decision tree has an influential variable
We prove that for any decision tree calculating a boolean function $f:\{-1,1\}^n\to\{-1,1\}$, \[ \Var[f] \le \sum_{i=1}^n δ_i \Inf_i(f), \] where
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Generation of $k$-jets on Toric Varieties
In this notes we study $k$-jet ample line bundles $L$ on a non singular toric variety $X$, i.e. line bundles
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On higher order embeddings of Fano threefolds by the anticanonical linear system
The map given by the anticanonical bundle of a Fano manifold is investigated with respect to a number of natural
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On The Projective Normality of Smooth Surfaces of degree nine
We investigate the projective normality of smooth, linearly normal surfaces of degree 9. All non projectively normal surfaces which are
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Toward Attribute Efficient Learning Algorithms
We make progress on two important problems regarding attribute efficient learnability. First, we give an algorithm for learning decision lists
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On the k-normality of some projective manifolds
A long standing conjecture, known to us as the Eisenbud Goto conjecture, states that an n-dimensional variety embedded with degree
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