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Dispersion for Data-Driven Algorithm Design, Online Learning, and Private Optimization
Data-driven algorithm design, that is, choosing the best algorithm for a specific application, is a crucial problem in modern data science. Practitioners often optimize over a parameterized algorithm family, tuning parameters based on problems from their
Balcan, Maria-Florina +2 more
core +1 more source
Cooperative Relay Broadcast Channels [PDF]
The capacity regions are investigated for two relay broadcast channels (RBCs), where relay links are incorporated into standard two-user broadcast channels to support user cooperation.
Liang, Yingbin, Veeravalli, Venugopal V.
core +4 more sources
Uniform estimates for local properties of analytic functions in a complete Reinhardt domain
Using recent estimates of maximum modulus for partial derivatives of the analytic functions with bounded $\mathbf{L}$-index in joint variables we describe maximum modulus of these functions at the polydisc skeleton with given radii by the maximum modulus
A. I. Bandura, T.M. Salo
doaj +1 more source
Some properties of analytic in a ball functions of bounded $\mathbf{L}$-index in joint variables
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Bandura, Andriy, Skaskiv, Oleh
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This article is a continuation of the research on the concept of an analytic function of a bounded $\mathbf{L}$-index, conducted during 2019-2025 in the articles A. Bandura, T. Salo and O.
A. I. Bandura +2 more
doaj +1 more source
High level excursion set geometry for non-Gaussian infinitely divisible random fields
We consider smooth, infinitely divisible random fields $(X(t),t\in M)$, $M\subset {\mathbb{R}}^d$, with regularly varying Levy measure, and are interested in the geometric characteristics of the excursion sets \[A_u=\{t\in M:X(t)>u\}\] over high levels u.
Adler, Robert J. +2 more
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ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai +4 more
wiley +1 more source
Approximate simulation of entanglement with a linear cost of communication
Bell's theorem implies that the outcomes of local measurements on two maximally entangled systems cannot be simulated without classical communication between the parties. The communication cost is finite for n Bell states, but it grows exponentially in n.
Montina, Alberto
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The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
On the Gap and Time Interval between the First Two Maxima of Long Continuous Time Random Walks
We consider a one-dimensional continuous time random walk (CTRW) on a fixed time interval $T$ where at each time step the walker waits a random time $\tau$, before performing a jump drawn from a symmetric continuous probability distribution function (PDF)
Majumdar, Satya N. +2 more
core +3 more sources

