Random function
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Random Erasing Data Augmentation Open
In this paper, we introduce Random Erasing, a new data augmentation method for training the convolutional neural network (CNN). In training, Random Erasing randomly selects a rectangle region in an image and erases its pixels with random v…
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Random Erasing Data Augmentation Open
In this paper, we introduce Random Erasing, a new data augmentation method for training the convolutional neural network (CNN). In training, Random Erasing randomly selects a rectangle region in an image and erases its pixels with random v…
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Random Signals and Systems Open
Introduction to random signals and probability a review of scalar random variables second order random vectors multidimensional random variables statistical description of random signals spectral properties of random signals statistical mo…
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More Efficient Privacy Amplification With Less Random Seeds via Dual Universal Hash Function Open
We explicitly construct random hash functions for privacy amplification\n(extractors) that require smaller random seed lengths than the previous\nliterature, and still allow efficient implementations with complexity $O(n\\log\nn)$ for inpu…
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Real-time fast physical random number generator with a photonic integrated circuit Open
Random number generators are essential for applications in information security and numerical simulations. Most optical-chaos-based random number generators produce random bit sequences by offline post-processing with large optical compone…
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Compound Random Measures and their Use in Bayesian Non-Parametrics Open
Summary A new class of dependent random measures which we call compound random measures is proposed and the use of normalized versions of these random measures as priors in Bayesian non-parametric mixture models is considered. Their tracta…
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Smooth Random Functions, Random ODEs, and Gaussian Processes Open
International audience
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Method of Detecting Radio Signals using Means of Covert by Obtaining Information on the basis of Random Signals Model Open
The article presents a developed method for determining random radio signals. Random signals can be signals from hidden means of obtaining information.The signal is considered as a random process. The description of such signals is based o…
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True random coded photon counting Lidar Open
A true random coded photon counting Lidar system is proposed in this paper, in which a single photon detector acts as the true random sequence signal generator instead of the traditional function generator. Compared with the traditional ps…
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Stochastic Learning Under Random Reshuffling With Constant Step-Sizes Open
In empirical risk optimization, it has been observed that stochastic gradient\nimplementations that rely on random reshuffling of the data achieve better\nperformance than implementations that rely on sampling the data uniformly.\nRecent w…
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Probabilistic degenerate Stirling polynomials of the second kind and their applications Open
The aim of this paper is to further study probabilistic versions of the degenerate Stirling polynomials of the second kind, namely the probabilistic degenerate Stirling polynomials of the second kind associated with $Y$Y, which are also de…
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Mean square calculus and random linear fractional differential equations: Theory and applications Open
The aim of this paper is to study, in mean square sense, a class of random fractional linear differential equation where the initial condition and the forcing term are assumed to be second-order random variables. The solution stochastic pr…
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Recycling Randomness with Structure for Sublinear time Kernel Expansions Open
We propose a scheme for recycling Gaussian random vectors into structured matrices to approximate various kernel functions in sublinear time via random embeddings. Our framework includes the Fastfood construction as a special case, but als…
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Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties Open
In this paper we study random non-autonomous second order linear differential
\nequations by taking advantage of the powerful theory of random difference
\nequations. The coefficients are assumed to be stochastic processes, and the initial…
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On Random Matrices Arising in Deep Neural Networks. Gaussian Case Open
The paper deals with distribution of singular values of product of random matrices arising in the analysis of deep neural networks. The matrices resemble the product analogs of the sample covariance matrices, however, an important differen…
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Self-Adaptive Image Encryption Algorithm Based on Quantum Logistic Map Open
This study proposes a self-adaptive image encryption algorithm based on the quantum logistic map. First, the initial values are substituted into the quantum logistic map based on an iteration process to generate three random sequences. Aft…
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Spectra of large time-lagged correlation matrices from random matrix theory Open
We analyze the spectral properties of large, time-lagged correlation matrices using the tools of random matrix theory. We compare predictions of the one-dimensional spectra, based on approaches already proposed in the literature. Employing…
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A Gaussian-Distributed Quantum Random Number Generator Using Vacuum Shot Noise Open
Among all the methods of extracting randomness, quantum random number generators are promising for their genuine randomness. However, existing quantum random number generator schemes aim at generating sequences with a uniform distribution,…
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Physiological random processes in precision cancer therapy Open
Many different physiological processes affect the growth of malignant lesions and their response to therapy. Each of these processes is spatially and genetically heterogeneous; dynamically evolving in time; controlled by many other physiol…
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Stein characterizations for linear combinations of gamma random variables Open
In this paper we propose a new, simple and explicit mechanism allowing to derive Stein operators for random variables whose characteristic function satisfies a simple ODE. We apply this to study random variables which can be represented as…
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A Novel Pseudo-Random Number Generator for Cryptographic Applications Open
Background: Pseudo random numbers have indispensable role in designing cryptography systems such as key stream in stream ciphers. Efficiency of most crypto systems are in depend on the quality of secret key generated by a pseudo random num…
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Permissionless Blockchain Systems as Pseudo-Random Number Generators for Decentralized Consensus Open
Consensus algorithms that function in permissionless blockchain systems must randomly select new block proposers in a decentralised environment. Our contribution is a new blockchain consensus algorithm called Proof-of-Publicly Verifiable R…
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Dynamical Pseudo-Random Number Generator Using Reinforcement Learning Open
Pseudo-random number generators (PRNGs) are based on the algorithm that generates a sequence of numbers arranged randomly. Recently, random numbers have been generated through a reinforcement learning mechanism. This method generates rando…
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Deep Semi-Random Features for Nonlinear Function Approximation Open
We propose semi-random features for nonlinear function approximation. The flexibility of semi-random feature lies between the fully adjustable units in deep learning and the random features used in kernel methods. For one hidden layer mode…
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Tight Security Analysis of EHtM MAC Open
The security of a probabilistic Message Authentication Code (MAC) usually depends on the uniqueness of the random salt which restricts the security to birthday bound of the salt size due to the collision on random salts (e.g XMACR). To ove…
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Perturbation based stochastic isogeometric analysis for bending of functionally graded plates with the randomness of elastic modulus Open
We propose, in this paper, stochastic isogeometric analysis (SIGA) is a type of non-statistic approach in which combines the perturbation technique with the standard isogeometric analysis, in particular for static behavior of functionally …
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Trustless and Bias-resistant Game-theoretic Distributed Randomness Open
Proof-of-Stake blockchain protocols rely on a dis-tributed random beacon to select the next miner that is allowed to add a block to the chain. Each party's likelihood to be selected is in proportion to their stake in the cryptocurrency. Cu…
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A full probabilistic solution of the random linear fractional differential equation via the random variable transformation technique Open
This paper provides a full probabilistic solution of the randomized fractional linear nonhomogeneous differential equation with a random initial condition via the computation of the first probability density function of the solution stocha…
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Lp-Solution to the Random Linear Delay Differential Equation with a Stochastic Forcing Term Open
This paper aims at extending a previous contribution dealing with the random autonomous-homogeneous linear differential equation with discrete delay τ > 0 , by adding a random forcing term f ( t ) that varies with time: x ′ ( t ) = a x ( t…
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Quantum random flip-flop and its applications in random frequency synthesis and true random number generation Open
In this work, a new type of elementary logic circuit, named random flip-flop (RFF), is proposed, experimentally realized, and studied. Unlike conventional Boolean logic circuits whose action is deterministic and highly reproducible, the ac…