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Optimizing embedded systems, where the optimization of one depends on the state of another, is a formidable computational and algorithmic challenge, that is ubiquitous in real world systems. We study flow networks, where bilevel…

Optimization and Control · Mathematics 2022-11-09 Bo Li , David Saad , Chi Ho Yeung

In this article we give corrections and addendum to the article ``Flops and Poisson deformations of symplectic varieties, Publ. Res. Inst. Math. Sci. {\bf 44} (2008) 259 - 314''.

Algebraic Geometry · Mathematics 2026-01-13 Yoshinori Namikawa

This is a brief technical note to clarify the state of lower bounds on regret for reinforcement learning. In particular, this paper: - Reproduces a lower bound on regret for reinforcement learning, similar to the result of Theorem 5 in the…

Machine Learning · Statistics 2016-08-10 Ian Osband , Benjamin Van Roy

In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

Optimization and Control · Mathematics 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat

In the Network Flow Interdiction problem an adversary attacks a network in order to minimize the maximum s-t-flow. Very little is known about the approximatibility of this problem despite decades of interest in it. We present the first…

Data Structures and Algorithms · Computer Science 2015-11-10 Stephen R. Chestnut , Rico Zenklusen

The present study provides another look on Lamperti's theorem on recurrence or transience of stochastic sequences. We establish connection between Lamperti's theorem and the recent result by the author [V. M. Abramov, Theor. Probab. Math.…

Probability · Mathematics 2026-05-26 Vyacheslav M. Abramov

The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.

Algebraic Geometry · Mathematics 2007-05-23 Stefan Schroeer

This is a comment on "Universal Fluctuations in Correlated Systems", by Bramwell et al, Phys. Rev. Lett., 84, 3744 (2000.

Statistical Mechanics · Physics 2016-08-31 N. W. Watkins , S. C. Chapman , G. Rowlands

There are a number of errors in "mbtransfer: Microbiome intervention analysis using transfer functions and mirror statistics" PLOS Comp Bio (2024) spanning multiple aspects of the paper. The wrong inputs were provided to comparator methods…

Quantitative Methods · Quantitative Biology 2025-09-23 Travis E. Gibson

This report will be a literature review on a result in algorithmic discrepancy theory. We will begin by providing a quick overview on discrepancy theory and some major results in the field, and then focus on an important result by Shachar…

Data Structures and Algorithms · Computer Science 2019-11-19 Michael Whitmeyer , Jonathan Liu

This is a technical report, containing all the theorem proofs and additional evaluations in paper "Monitor Placement for Maximal Identifiability in Network Tomography" by Liang Ma, Ting He, Kin K. Leung, Ananthram Swami, Don Towsley,…

Networking and Internet Architecture · Computer Science 2020-12-22 Liang Ma , Ting He , Kin K. Leung , Ananthram Swami , Don Towsley

This note contains a correction to the paper, ``Local contribution to the Lefschetz fixed point formula'', Inv. Math. 111 (1993), pp. 1-33.

Algebraic Topology · Mathematics 2007-05-23 Mark Goresky , Robert MacPherson

With the tremendous increase of the Internet traffic, achieving the best performance with limited resources is becoming an extremely urgent problem. In order to address this concern, in this paper, we build an optimization problem which…

Physics and Society · Physics 2017-02-23 Li Rui , Xia Yongxiang , Tse K Chi

This paper considers a wireless network where multiple flows are delivering status updates about their respective information sources. An end user aims to make accurate real-time estimations about the status of each information source using…

Networking and Internet Architecture · Computer Science 2019-01-31 Daojing Guo , I-Hong Hou

In Noor (2007)[Muhammad Aslam Noor, New iterative schemes for nonlinear equations, Appl. Math. Comput. 187 (2007) 937-943], proposed an algorithm namely \textbf{Algorithm 2.4} and established a proof to show cubic convergence. The presented…

Numerical Analysis · Mathematics 2015-03-13 Laila M Assas , Fayyaz Ahmad , Malik Zaka Ullah

In [K.J. Ciosmak, Applications of Strassen's theorem and Choquet theory to optimal transport problems, to uniformly convex functions and to uniformly smooth functions, Nonlinear Anal. 232 (2023), Paper No. 113267, 32 pp.], Theorem 2.3. does…

Functional Analysis · Mathematics 2024-04-18 Krzysztof Jan Ciosmak

In this paper, we investigate the linear controllability framework for complex networks from a physical point of view. There are three main results. (1) If one applies control signals as determined from the structural controllability…

Systems and Control · Computer Science 2015-09-11 Yu-Zhong Chen , Lezhi Wang , Wenxu Wang , Ying-Cheng Lai

We present a unified analytical framework within which power control, rate allocation, routing, and congestion control for wireless networks can be optimized in a coherent and integrated manner. We consider a multi-commodity flow model with…

Networking and Internet Architecture · Computer Science 2007-09-18 Yufang Xi , Edmund M. Yeh

The promise of Rectified Flow rests on producing self-generated couplings whose trajectories are straight, or nearly so. In practice, trajectories generated by the base flow model can bend and intertwine, and the resulting coupling inherits…

Artificial Intelligence · Computer Science 2026-05-19 Yimeng Min , Carla P. Gomes

In this paper, we propose to study on sufficient control of complex networks which is to control a sufficiently large portion of the network, where only the quantity of controllable nodes matters. To the best of our knowledge, this is the…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Xiang Li , Guoqi Li , Leitao Gao , Beibei Li , Gaoxi Xiao
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