«Ends lemma»
۷۸۱ نتیجهApproximate Farkas lemmas and stopping rules for iterative infeasible-point algorithms for linear programming
In exact arithmetic, the simplex method applied to a particular linear programming problem instance either shows that it is infeasible, shows that its dual is infeasible, or generates optimal solutions to both problems. Interiorpoint methods do not provide such clear-cut informat
9.4 Szemerédi 's Regularity Lemma
In this section we describe a fundamental result, the Regularity Lemma, proved by Endre Szemerédi in the 70s. The original motivation for proving it has been an application in Combinatorial Number Theory, leading, together with several additional deep ideas, to a complete solutio
Steins lemma, Malliavin calculus, and tail bounds, with application to polymer uctuation exponent
We consider a random variable X satisfying almost-sure conditions involving G := DX; DL X where DX is Xs Malliavin derivative and L 1 is the pseudo-inverse of the generator of the OrnsteinUhlenbeck semigroup. A lower(resp. upper-) bound condition on G is proved to imply a Gaussi
236779: Foundations of Algorithms for Massive Datasets Lecture 4 the Johnson-lindenstrauss Lemma
The Johnson-Lindenstrauss lemma and its proof This lecture aims to prove the Johnson–Lindenstrauss lemma. Since the lemma is proved easily with another interesting lemma, a part of this lecture is focused on the proof of this second lemma. At the end, the optimality of the Johnso
G : Bandits , Experts and Games 09 / 12 / 16 Lecture 4 : Lower Bounds ( ending ) ; Thompson Sampling
Here is a parameter to be adjusted in the analysis. Recall that K is the number of arms. We considered a “bandits with predictions” problem, and proved that it is impossible to make an accurate prediction with high probability if the time horizon is too small, regardless of what
On enumeration of EL-hypergroups of order 3 obtained from ordered semigroups
The EL-hyperstructures are formed from (quasi) partially ordered (semi)groups through the application of the "Ends Lemma". In this paper, we enumerate EL-hypergroups of order 3, which are derived from ordered semigroups of order 3, using procedures implemented in MATLAB. Our appr
East End Boys and West End Girls: /s/-Fronting in Southeast England
In this paper, we revisit the impact of gender and social class on language (e.g., Eckert 1989, 2000, Labov 1990, Milroy et al. 1994, Dubois & Horvath 1999) through an investigation of /s/ in southeast England. Previous work on /s/ variation in English has suggested that, for a n
Happy Endings of noncrossing convex bodies . joint work with :
We introduce a combinatorial invariant of arrangements of compact convex sets in the plane, generalizing the notion of the order type of planar point sets. This allows us to define and study realization spaces, extending previous work on representability and isotopy by Levi, Ring
Higman's Lemma in Type Theory
This thesis is about exploring the possibilities of a limited version of Martin-L of's type theory. This exploration consists both of metatheoretical considerations and of the actual use of that version of type theory to prove Higman's lemma. The thesis is organized in two paper
Lemma Generation Method in Rewriting Induction for Constrained Term Rewriting Systems
Recently, rewriting induction, which is one of the induction principles for proving inductive theorems in equational theory, has been extended to deal with constrained term rewriting systems. Rewriting induction has been applied to developing a method for proving the equivalence