Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Sums of Squares and Varieties of Minimal Degree

The study of nonnegativity and its relation with sums of squares is a basic challenge in real algebraic geometry. The classification of varieties of minimal degree is one of the milestones of classical complex algebraic geometry. The goal of this paper is to establish the deep connection between these apparently separate topics. To achieve this, let X ⊆ P be an embedded real projective variety ...

متن کامل

Low Rank Decompositions for Sum of Squares Optimization

In this thesis, we investigate theoretical and numerical advantages of a novel representation for Sum of Squares (SOS) decomposition of univariate and multivariate polynomials. This representation formulates a SOS problem by interpolating a polynomial at a finite set of sampling points. As compared to the conventional coefficient method of SOS, the formulation has a low rank property in its con...

متن کامل

On Varieties of Almost Minimal Degree Ii: a Rank-depth Formula

We show that the arithmetic depth of the projection Xp of a rational normal scroll X̃ ⊂ P K from a point p ∈ P K \X̃ can be expressed in terms of the rank of the matrix M ′(p), where M ′ is the matrix of linear forms whose 3× 3 minors define the secant variety of X̃.

متن کامل

On the Sum-of-Squares Degree of Symmetric Quadratic Functions

We study how well functions over the boolean hypercube of the form fk(x) = (|x| − k)(|x| − k − 1) can be approximated by sums of squares of low-degree polynomials, obtaining good bounds for the case of approximation in l∞-norm as well as in l1-norm. We describe three complexity-theoretic applications: (1) a proof that the recent breakthrough lower bound of Lee, Raghavendra, and Steurer [LRS15] ...

متن کامل

a study on the effectiveness of task types (noticing-reformulation) on iranian low intermediate efl learners’ retention of collocations

چکیده پژوهش شبه تجربی حاضر به بررسی بکارگیری تمارین کلاسی که برانگیزنده آگاهی و توجه آگاهانه به همایندها بعنوان بخشی از یک دوره ی مکالمه زبان خارجی در یکی از آموزشگاه های زبان انگلیسی ایران است می پردازد.

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2017

ISSN: 1073-7928,1687-0247

DOI: 10.1093/imrn/rnx113