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This paper introduces a method of identifying a maximal set of safe strategies from data for stochastic systems with unknown dynamics using barrier certificates. The first step is learning the dynamics of the system via Gaussian process…

Machine Learning · Computer Science 2024-05-07 Rayan Mazouz , John Skovbekk , Frederik Baymler Mathiesen , Eric Frew , Luca Laurenti , Morteza Lahijanian

Spin glass systems as lattices of disordered magnets with random interactions have important implications within the theory of magnetization and applications to a wide-range of hard combinatorial optimization problems. Nevertheless, despite…

Disordered Systems and Neural Networks · Physics 2025-10-28 Fredrik Hasselgren , Max O. Al-Hasso , Amy Searle , Joseph Tindall , Marko von der Leyen

We present approximation algorithms for maximum independent set of pseudo-disks in the plane, both in the weighted and unweighted cases. For the unweighted case, we prove that a local search algorithm yields a \PTAS. For the weighted case,…

Computational Geometry · Computer Science 2011-03-09 Timothy M. Chan , Sariel Har-Peled

With a rapid increase in volume and complexity of data sets, there is a need for methods that can extract useful information, for example the relationship between two data sets measured for the same persons. The Partial Least Squares (PLS)…

Families of generalized spatially-coupled low-density parity-check (GSC-LDPC) code ensembles can be formed by terminating protograph-based generalized LDPC convolutional (GLDPCC) codes. It has previously been shown that ensembles of…

Information Theory · Computer Science 2016-11-18 David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

In the absence of fault tolerant quantum error correction for analog, Hamiltonian quantum computation, error suppression via energy penalties is an effective alternative. We construct families of distance-$2$ stabilizer subsystem codes we…

Quantum Physics · Physics 2025-08-06 Phattharaporn Singkanipa , Zihan Xia , Daniel A. Lidar

A novel matching based heuristic algorithm designed to detect specially formulated infeasible zero-one IPs is presented. The algorithm input is a set of nested doubly stochastic subsystems and a set E of instance defining variables set at…

Data Structures and Algorithms · Computer Science 2017-03-07 S. J. Gismondi , E. R. Swart

This paper examines the asymptotic convergence properties of Lipschitz interpolation methods within the context of bounded stochastic noise. In the first part of the paper, we establish probabilistic consistency guarantees of the classical…

Optimization and Control · Mathematics 2023-10-12 Julien Walden Huang , Stephen Roberts , Jan-Peter Calliess

Numerous statistical methods have been developed to explore genomic imprinting and maternal effects, which are causes of parent-of-origin patterns in complex human diseases. However, most of them either only model one of these two…

Methodology · Statistics 2024-01-02 Pooya Aavani , Alexandre Trindade , Fangyuan Zhang

Multiple probabilistic packet marking (PPM) schemes for IP traceback have been proposed to deal with Distributed Denial of Service (DDoS) attacks by reconstructing their attack graphs and identifying the attack sources. In this paper, ten…

Networking and Internet Architecture · Computer Science 2016-02-05 Matthias R. Brust , Ankunda R. Kiremire

Subspace codes are collections of subspaces of a projective space such that any two subspaces satisfy a pairwise minimum distance criterion. Recent results have shown that it is possible to construct optimal $(5,3)$ subspace codes from…

Information Theory · Computer Science 2021-05-05 Anirban Ghatak , Sumanta Mukherjee

A new nonparametric approach for system identification has been recently proposed where the impulse response is modeled as the realization of a zero-mean Gaussian process whose covariance (kernel) has to be estimated from data. In this…

Optimization and Control · Mathematics 2016-11-17 Francesca Paola Carli , Tianshi Chen , Lennart Ljung

Families of "asymptotically regular" LDPC block code ensembles can be formed by terminating (J,K)-regular protograph-based LDPC convolutional codes. By varying the termination length, we obtain a large selection of LDPC block code ensembles…

Information Theory · Computer Science 2015-03-17 Michael Lentmaier , David G. M. Mitchell , Gerhard P. Fettweis , Daniel J. Costello,

With the advent of large-scale heterogeneous networks comes the problem of unified network control resulting in security lapses that could have otherwise avoided. A mechanism is needed to detect and deflect intruders to safeguard resource…

Cryptography and Security · Computer Science 2018-11-13 Nazim Uddin Sheikh , Hasina Rahman , Shashwat Vikram , Hamed AlQahtani

Probabilistic shaping (PS) has attracted significant attention in intensity-modulation and direct-detection (IM-DD) systems. However, due to the unique system model and inherent constraints, the effective application of the PS technique is…

Signal Processing · Electrical Eng. & Systems 2025-07-25 Dongdong Zou , Wei Wang , Jiawen Yao , Zhongxing Tian , Zeyu Feng , Huan Huang , Fan Li , Gordon Ning Liu , Gangxiang Shen , Yi Cai

We propose a new system identification method, called Sign-Perturbed Sums (SPS), for constructing non-asymptotic confidence regions under mild statistical assumptions. SPS is introduced for linear regression models, including but not…

Signal Processing · Electrical Eng. & Systems 2018-07-24 Balázs Cs. Csáji , Marco C. Campi , Erik Weyer

This work considers the fundamental privacy limits under active fingerprinting attacks in power-law bipartite networks. The scenario arises naturally in social network analysis, tracking user mobility in wireless networks, and forensics…

Social and Information Networks · Computer Science 2022-02-15 M. Shariatnasab , F. Shirani , Z. Anwar

Existing stochastic selection strategies for parent selection in generational GA help build genetic diversity and sustain exploration; however, it ignores the possibility of exploiting knowledge gained by the process to make informed…

Neural and Evolutionary Computing · Computer Science 2024-10-08 Prashant Sankaran , Katie McConky

For large classes of group testing problems, we derive lower bounds for the probability that all significant items are uniquely identified using specially constructed random designs. These bounds allow us to optimize parameters of the…

Statistics Theory · Mathematics 2022-02-17 Jack Noonan , Anatoly Zhigljavsky

The lower bound on the decoding error probability for the optimal code given a signal-to-noise ratio and a code rate are investigated in this letter for the reconfigurable intelligent surface (RIS) communication system over a Rician fading…

Information Theory · Computer Science 2023-06-28 Likun Sui , Zihuai Lin