Results 201 to 210 of about 4,101,445 (240)

On a Gradient Approach to Chebyshev Center Problems with Applications to Function Learning

Trans. Mach. Learn. Res.
We introduce $\textsf{gradOL}$, the first gradient-based optimization framework for solving Chebyshev center problems, a fundamental challenge in optimal function learning and geometric optimization.
Abhinav Raghuvanshi, Mayank Baranwal, Debasish Chatterjee   +2 more
semanticscholar   +1 more source

Proposal and Synthesis of Wideband Multilayer Planar Magic-T With Independent In-Phase and Out-of-Phase Chebyshev Filtering Responses

IEEE transactions on microwave theory and techniques, 2022
A wideband planar multilayer filtering magic-T is proposed and developed. The proposed magic-T uses coupled microstrip slotlines (CMSs) and microstrip-slot transitions.
Xiang Zhao, Hongxin Zhao, Feng-Jun Chen, Yilun Cai, Shunli Li, Xiaoxing Yin   +5 more
semanticscholar   +1 more source

Chebyshev centers in spaces of continuous functions

Archiv der Mathematik, 1988
Let S be a paracompact completely regular Hausdorff space, E a Banach space and \(C_ b(S,E)\) the space of all continuous bounded functions from S into E under the supremum norm. Let V be a closed non-empty subset of E and let \(a\in E\). Let \(P_ V(a)=\{v\in V:\) \(\| v-a\| =dist(a;V)\}\). Define \[ rad(B;V)=\inf \{\sup \{\| v-a\|:\quad a\in B\}:\quad
Prolla, Joao B., Chiacchio, Ary O., Roversi, Maria Suelli M.   +2 more
openaire   +2 more sources

Rapidly convergent modification of the method of chebyshev centers

Cybernetics, 1984
The following convex program \[ \max \{\phi_ 0(x)=(c_ 0,x)| \phi_ 1(x)\geq 0;\quad (b_{\nu},x)\leq \beta_{\nu},\quad \nu =1,...,N\} \] where \(\phi_ 1(x)\) is a concave function and \(\Omega =\{x\in E^ n\) : \((b_{\nu},x)\leq \beta_{\nu}\), \(\nu =1,...,N\}\) is a bounded set.
Nenakhov, Eh. I., Primak, M. E.
openaire   +1 more source

Rough Convergence and Chebyshev Centers in Banach Spaces

Numerical Functional Analysis and Optimization, 2014
By means of rough convergence, we introduce two new geometric properties in Banach spaces and relate them to Chebyshev centers and some well-known classical properties, such as Kalton's M property or Garkavi's uniform rotundity in every direction.
M. C. Listán-García, F. Rambla-Barreno
openaire   +1 more source

Chebyshev Radius and Centers

1986
For a bounded subset A of E and x ∈ E, let \( r\left( {x,A} \right) \equiv \mathop {\sup }\limits_{y \in A} \left\| {y - x} \right\| \) (the minimal radius of a ball centered at x and containing A). For G ⊂ E, \( {r_G}\left( A \right) \equiv \mathop {\inf }\limits_{y \in G} \left( {y,A} \right) \) is the (relative) Chebyshev radius of A in G, and Z G ...
openaire   +1 more source

On the Chebyshev Center and the Nonemptiness of the Intersection of Nested Sets

Mathematical Notes, 2022
G. Chelidze, A. Danelia, M. Z. Suladze
semanticscholar   +1 more source

Best Simultaneous Approximation (Chebyshev Centers)

1984
The problem of approximating simultaneously a set of data in a given metric space by a single element of an approximating family arises naturally in many practical problems. A common procedure is to choose the “best” approximant by a least squares principle, which has the advantages of existence, uniqueness, stability and easy computability.
openaire   +1 more source

The Chebyshev centers in a normed linear space

Acta Mathematicae Applicatae Sinica, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Design of Absorptive Bandpass Filters With General Chebyshev Response Based on λ/4 Microstrip Lines

Microwave and optical technology letters (Print)
In this brief, a synthesis design method is proposed for one‐port absorptive bandpass filters (BPFs) with general Chebyshev response and transmission zeros.
Zhang‐Zhe Feng, Yi‐Hao Ma, Q. Liu, Wensheng Zhao   +3 more
semanticscholar   +1 more source