Results 31 to 40 of about 23,734,188 (353)
Controllability on infinite-dimensional manifolds [PDF]
Following the unified approach of A. Kriegl and P.W. Michor (1997) for a treatment of global analysis on a class of locally convex spaces known as convenient, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected ...
A. Isidori +61 more
core +3 more sources
This textbook is based on lectures given by the authors at MIPT (Moscow), HSE (Moscow), FEFU (Vladivostok), V.I. Vernadsky KFU (Simferopol), ASU (Republic of Adygea), and the University of Grenoble-Alpes (Grenoble, France).
Stephen P. Boyd, L. Vandenberghe
semanticscholar +1 more source
An Improved Convergence Analysis for Decentralized Online Stochastic Non-Convex Optimization [PDF]
In this paper, we study decentralized online stochastic non-convex optimization over a network of nodes. Integrating a technique called gradient tracking in decentralized stochastic gradient descent, we show that the resulting algorithm, GT-DSGD, enjoys ...
Ran Xin, U. Khan, S. Kar
semanticscholar +1 more source
Convex analysis in groups and semigroups: a sampler [PDF]
We define convexity canonically in the setting of monoids. We show that many classical results from convex analysis hold for functions defined on such groups and semigroups, rather than only vector spaces.
Jonathan M. Borwein, Ohad Giladi
openalex +2 more sources
A novel and efficient approach for line segment clipping against a convex polygon
This paper proposes a new line clipping algorithm against a convex polygon with 𝑂(𝑁) time complexity. The line segment is pruned against each extended edge of the polygon as the first step of the proposed algorithm.
K. R. Wijeweera +2 more
doaj +1 more source
On $\mathscr{M}$-convex functions
In this article, we introduce the notion of $\mathscr{M}$-convex functions, $\log$-$\mathscr{M}$-convex functions and the notion of quasi $\mathscr{M}$-convex functions. We derive some new analogues of Hermite-Hadamard like inequalities associated with $\
Muhammad Uzair Awan +3 more
doaj +1 more source
On the enumeration of column-convex permutominoes [PDF]
We study the enumeration of \emphcolumn-convex permutominoes, i.e. column-convex polyominoes defined by a pair of permutations. We provide a direct recursive construction for the column-convex permutominoes of a given size, based on the application of ...
Nicholas R. Beaton +3 more
doaj +1 more source
An introduction to non-smooth convex analysis via multiplicative derivative
In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
doaj +1 more source
Nonlinear analysis in p-vector spaces for single-valued 1-set contractive mappings
The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued mappings under the framework of p-vector spaces, in particular, for locally p-convex spaces for 0 < p ≤ 1 $0 < p \leq 1$ .
George Xianzhi Yuan
doaj +1 more source
HPPD: A Hybrid Parallel Framework of Partition-based and Density-based Clustering Algorithms in Data Streams [PDF]
Data stream clustering refers to the process of grouping continuously arriving new data chunks into continuously changing groups to enable dynamic analysis of segmentation patterns.
Ammar Abd Alazeez
doaj +1 more source

