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We present a semi-Lagrangian scheme for the approximation of a class of Hamilton-Jacobi-Bellman equations on networks. The scheme is explicit and stable under some technical conditions. We prove a convergence theorem and some error…

Numerical Analysis · Mathematics 2018-04-26 Elisabetta Carlini , Adriano Festa , Nicolas Forcadel

The All-Pairs Max-Flow problem has gained significant popularity in the last two decades, and many results are known regarding its fine-grained complexity. Despite this, wide gaps remain in our understanding of the time complexity for…

Data Structures and Algorithms · Computer Science 2024-11-12 Ohad Trabelsi

Today's networks are controlled assuming pre-compressed and packetized data. For video, this assumption of data packets abstracts out one of the key aspects - the lossy compression problem. Therefore, first, this paper develops a framework…

Information Theory · Computer Science 2011-06-03 Jubin Jose , Sriram Vishwanath

Reconfigurable optical topologies are emerging as a promising technology to improve the efficiency of datacenter networks. This paper considers the problem of scheduling opportunistic links in such reconfigurable datacenters. We study the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-16 Janardhan Kulkarni , Stefan Schmid , Paweł Schmidt

Inspired by findings of sensorimotor coupling in humans and animals, there has recently been a growing interest in the interaction between action and perception in robotic systems [Bogh et al., 2016]. Here we consider perception and action…

Artificial Intelligence · Computer Science 2018-04-18 Zhen Peng , Tim Genewein , Felix Leibfried , Daniel A. Braun

In this note we give some remarks and improvements on a recent paper of us [3] about an optimization problem for the $p-$Laplace operator that were motivated by some discussion the authors had with Prof. Cianchi.

Analysis of PDEs · Mathematics 2009-01-15 Leandro Del Pezzo , Julián Fernández Bonder

The purpose of this note is to discuss some aspects of recently proposed fractional-order variants of complex least mean square (CLMS) and normalized least mean square (NLMS) algorithms in ``Design of Fractional-order Variants of Complex…

Optimization and Control · Mathematics 2020-07-28 Shujaat Khan , Abdul Wahab , Imran Naseem , Muhammad Moinuddin

We present a framework to use recently introduced Capsule Networks for solving the problem of Optical Flow, one of the fundamental computer vision tasks. Most of the existing state of the art deep architectures either uses a correlation…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Rahul Chand , Rajat Arora , K Ram Prabhakar , R Venkatesh Babu

In this note we document a gap in an argument in the above paper, and point to new work in the literature giving a complete proof of the main result.

Dynamical Systems · Mathematics 2026-02-24 Jorge Fariña-Asategui , Rafe Jones , Santiago Radi

This paper considers online convex optimization over a complicated constraint set, which typically consists of multiple functional constraints and a set constraint. The conventional online projection algorithm (Zinkevich, 2003) can be…

Optimization and Control · Mathematics 2020-05-19 Hao Yu , Michael J. Neely

This paper has a flaw in an argument that uses the weak-* convergence of measures. The paper was replaced by "Entropy and Its Variational Principle for Locally Compact Metrizable Systems", by the same authors.

Dynamical Systems · Mathematics 2015-11-09 André Caldas , Mauro Patrão

This paper corrects an error in [Keller-Ressel, M. and Steiner T. "Yield curve shapes and the asymptotic short rate distribution in affine one-factor models." Finance and Stochastics 12.2 (2008): 149-172]. The error concerns the correct…

Mathematical Finance · Quantitative Finance 2018-02-15 Martin Keller-Ressel

We present two methods for proving confluence of left-linear term rewrite systems. One is hot-decreasingness, combining the parallel/development closedness theorems with rule labelling based on a terminating subsystem. The other is…

Logic in Computer Science · Computer Science 2019-06-04 Nao Hirokawa , Julian Nagele , Vincent van Oostrom , Michio Oyamaguchi

This reply tries to rectify some misunderstandings that are in our opinion contained in the Comment by Campostrini and Rossi, <hep-lat 99407008> on our paper <hep-lat 9407003>.

High Energy Physics - Lattice · Physics 2007-05-23 A. Patrascioiu , E. Seiler

Originally published as a Supplemental Appendix to Adjoint Equations in Stability Analysis, Annu. Rev. Fluid Mech. 46:493-517 (2014)

Fluid Dynamics · Physics 2024-04-29 Paolo Luchini , Alessandro Bottaro

In this chapter, we are concerned with inverse optimal control problems, i.e., optimization models which are used to identify parameters in optimal control problems from given measurements. Here, we focus on linear-quadratic optimal control…

Optimization and Control · Mathematics 2023-11-27 Stephan Dempe , Markus Friedemann , Felix Harder , Patrick Mehlitz , Gerd Wachsmuth

The original paper, as published in Nuclear Physics B in 1988, had a few factor-of-two errors. Some people got confused by those errors. The purpose of these errata is to make things clear. The revised version of the complete article is…

High Energy Physics - Theory · Physics 2007-05-23 Vadim Kaplunovsky

This paper is withdrawn due to some errors, which are corrected in arXiv:0912.0071v4 [cs.LG].

Cryptography and Security · Computer Science 2011-06-22 Kamalika Chaudhuri , Anand D. Sarwate

Belief Propagation algorithms are instruments used broadly to solve graphical model optimization and statistical inference problems. In the general case of a loopy Graphical Model, Belief Propagation is a heuristic which is quite successful…

Machine Learning · Statistics 2021-09-15 Andrii Riazanov , Yury Maximov , Michael Chertkov
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