Fixed Point Strategies in Data Science

نویسندگان

چکیده

The goal of this paper is to promote the use fixed point strategies in data science by showing that they provide a simplifying and unifying framework model, analyze, solve great variety problems. They are seen constitute natural environment explain behavior advanced convex optimization methods as well recent nonlinear which formulated terms paradigms go beyond minimization concepts involve constructs such Nash equilibria or monotone inclusions. We review pertinent tools theory describe main state-of-the-art algorithms for provably convergent construction. also incorporate additional ingredients stochasticity, block-implementations, non-Euclidean metrics, further enhancements. Applications signal image processing, machine learning, statistics, neural networks, inverse problems discussed.

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

Some fixed point theorems and common fixed point theorem in log-convex structure

Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.

متن کامل

Fixed point strategies for elastostatic frictional contact problems

Analysis and theoretical comparison between several fixed point strategies and Uzawa algorithms (for classical and augmented Lagrangian) are performed to solve the so called Signorini problem with Coulomb friction without any regularization. Thanks to a formalism coming from convex analysis, some new fixed point strategies are presented and compared to already known methods. The analysis is fir...

متن کامل

Some results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces

In this paper, we define the concept of probabilistic like Menger (probabilistic like quasi Menger) space (briefly, PLM-space (PLqM-space)). We present some coupled fixed point and fixed point results for certain contraction type maps in partially order PLM-spaces (PLqM- spaces).

متن کامل

Coincidence point and common fixed point results via scalarization function

The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$-metric spaces. Next, we obtain cone $b$-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.

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: IEEE Transactions on Signal Processing

سال: 2021

ISSN: ['1053-587X', '1941-0476']

DOI: https://doi.org/10.1109/tsp.2021.3069677