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Given a graph $G$, we consider a model for a random cover of $G$ by taking two parallel copies of $G$ and crossing every pair of parallel edges randomly with probability $q$ independently of each other. The resulting graph $G_q$, is a…

Probability · Mathematics 2025-06-03 Paul Drouvillé

After initial release of a machine learning algorithm, the model can be fine-tuned by retraining on subsequently gathered data, adding newly discovered features, or more. Each modification introduces a risk of deteriorating performance and…

Machine Learning · Statistics 2022-03-23 Jean Feng , Gene Pennello , Nicholas Petrick , Berkman Sahiner , Romain Pirracchio , Alexej Gossmann

This paper considers the sequential composite hypothesis test with multiple sensors. The sensors observe random samples in parallel and communicate with a fusion center, who makes the global decision based on the sensor inputs. On one hand,…

Applications · Statistics 2018-04-17 Shang Li , Xiaoou Li , Xiaodong Wang , Jingchen Liu

The trap-induced hysteresis on the performance of a graphene field-effect transistor is experimentally diminished here by applying consecutive gate-to-source voltage pulses of opposing polarity. This measurement scheme is a practical and…

Mesoscale and Nanoscale Physics · Physics 2020-10-29 Anibal Pacheco-Sanchez , Nikolaos Mavredakis , Pedro C. Feijoo , Wei Wei , Emiliano Pallecchi , Henri Happy , David Jiménez

An algorithm for calculating two-loop propagator type Feynman diagrams with arbitrary masses and external momentum is proposed. Recurrence relations allowing to express any scalar integral in terms of basic integrals are given. A minimal…

High Energy Physics - Phenomenology · Physics 2009-10-30 O. V. Tarasov

In this paper, we focus on analyzing the period distribution of the inversive pseudorandom number generators (IPRNGs) over finite field $({\rm Z}_{N},+,\times)$, where $N>3$ is a prime. The sequences generated by the IPRNGs are transformed…

Information Theory · Computer Science 2012-09-07 Bo Zhou , Qiankun Song

Prior work on automated question generation has almost exclusively focused on generating simple questions whose answers can be extracted from a single document. However, there is an increasing interest in developing systems that are capable…

Computation and Language · Computer Science 2020-10-23 Devendra Singh Sachan , Lingfei Wu , Mrinmaya Sachan , William Hamilton

Gaussian Graphical Models (GGMs) are widely used to infer conditional dependence structures in high-dimensional data. However, standard precision matrix estimators are highly sensitive to data contamination, such as extreme outliers and…

Applications · Statistics 2026-03-25 Canruo Shen , Xintong Ji , Qiong Li , Wenzhi Yang , Xiaoping Shi

To accelerate the training of graph convolutional networks (GCNs) on real-world large-scale sparse graphs, downsampling methods are commonly employed as a preprocessing step. However, the effects of graph sparsity and topological structure…

Machine Learning · Computer Science 2024-09-10 Qinji Shu , Hang Sheng , Feng Ji , Hui Feng , Bo Hu

The Fast Reciprocal Square Root Algorithm is a well-established approximation technique consisting of two stages: first, a coarse approximation is obtained by manipulating the bit pattern of the floating point argument using integer…

Numerical Analysis · Mathematics 2023-07-31 Mike Day

Deep generative models can help with data scarcity and privacy by producing synthetic training data, but they struggle in low-data, imbalanced tabular settings to fully learn the complex data distribution. We argue that striving for the…

Machine Learning · Statistics 2026-03-12 Xiaofeng Lin , Seungbae Kim , Zhuoya Li , Zachary DeSoto , Charles Fleming , Guang Cheng

I report on the development of a novel statistical mechanical formalism for the analysis of random graphs with many short loops, and processes on such graphs. The graphs are defined via maximum entropy ensembles, in which both the degrees…

Disordered Systems and Neural Networks · Physics 2016-05-04 A C C Coolen

In a recent paper dealing with maximum likelihood detection of gravitational wave chirps from coalescing binaries with unknown parameters we introduced an accurate representation of the no-signal cumulative distribution of the supremum of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. P. Croce , Th. Demma , M. Longo , S. Marano , V. Matta , V. Pierro , I. M. Pinto

Generating streams of true random numbers is a critical component of many embedded systems. The design of fully integrated, area and power efficient True Random Number Generators is a challenge. We propose a fully integrated, lightweight…

Signal Processing · Electrical Eng. & Systems 2023-01-16 Gilson Wirth , Pedro A B Alves , Roberto da Silva

A conjectural expression of the asymptotic gap between the rate-distortion function of an arbitrary generalized Gaussian multiterminal source coding system and that of its centralized counterpart in the high-resolution regime is proposed.…

Information Theory · Computer Science 2019-08-19 Li Xie , Xiaolan Tu , Siyao Zhou , Jun Chen

Thanks to their remarkable generative capabilities, GANs have gained great popularity, and are used abundantly in state-of-the-art methods and applications. In a GAN based model, a discriminator is trained to learn the real data…

Computer Vision and Pattern Recognition · Computer Science 2018-11-21 Firas Shama , Roey Mechrez , Alon Shoshan , Lihi Zelnik-Manor

A numerical approach to compute tensor integrals in one-loop calculations is presented. The algorithm is based on a recursion relation which allows to express high rank tensor integrals as a function of lower rank ones. At each level of…

High Energy Physics - Phenomenology · Physics 2010-02-03 F. del Aguila , R. Pittau

In this work we present a model for computation of random processes in digital computers which solves the problem of periodic sequences and hidden errors produced by correlations. We show that systems with non-invertible non-linearities can…

Statistical Mechanics · Physics 2007-05-23 Monica A. Garcia-Nustes , Leonardo Trujillo , Jorge A. Gonzalez

In recent years, non-parametric methods utilizing random walks on graphs have been used to solve a wide range of machine learning problems, but in their simplest form they do not scale well due to the quadratic complexity. In this paper, a…

Machine Learning · Computer Science 2012-10-19 Saeed Amizadeh , Bo Thiesson , Milos Hauskrecht

We study the computational power of deciding whether a given truth-table can be described by a circuit of a given size (the Minimum Circuit Size Problem, or MCSP for short), and of the variant denoted as MKTP where circuit size is replaced…

Computational Complexity · Computer Science 2017-10-27 Eric Allender , Joshua A. Grochow , Dieter van Melkebeek , Cristopher Moore , Andrew Morgan