Pseudofinite groups and VC-dimension

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

Stable pseudofinite groups

The main theorem is that if G is a pseudofinite group with stable theory, then G has a definable normal soluble subgroup of finite index.

متن کامل

Teaching Dimension versus VC Dimension

In this report, we give a brief survey of various results relating the Teaching Dimension and VC-Dimension. The concept of Teaching Dimension was first introduced by Goldman and Kearns, 1995 and Sinohara and Miyano, 1991. In this model, an algorithm tries to learn the hidden concept c from examples, called the teaching set, which uniquely identifies c from the rest of the concepts in the concep...

متن کامل

Groups in supersimple and pseudofinite theories

We consider groups G interpretable in a supersimple finite rank theory T such that T eq eliminates ∃∞. It is shown that G has a definable soluble radical. If G has rank 2, then if G is pseudofinite it is soluble-by-finite, and partial results are obtained under weaker hypotheses, such as unimodularity of the theory. A classification is obtained when T is pseudofinite and G has a definable and d...

متن کامل

Inapproximability of VC Dimension and Littlestone's Dimension

We study the complexity of computing the VC Dimension and Littlestone’s Dimension. Given an explicit description of a finite universe and a concept class (a binary matrix whose (x,C)-th entry is 1 iff element x belongs to concept C), both can be computed exactly in quasipolynomial time (n ). Assuming the randomized Exponential Time Hypothesis (ETH), we prove nearly matching lower bounds on the ...

متن کامل

VC dimension of ellipsoids

We will establish that the vc dimension of the class of d-dimensional ellipsoids is (d +3d)/2, and that maximum likelihood estimate with N -component d-dimensional Gaussian mixture models induces a geometric class having vc dimension at least N(d + 3d)/2.

متن کامل

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: Journal of Mathematical Logic

سال: 2020

ISSN: 0219-0613,1793-6691

DOI: 10.1142/s0219061321500094