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This paper investigates how various randomization techniques impact Deep Neural Networks (DNNs). Randomization, like weight noise and dropout, aids in reducing overfitting and enhancing generalization, but their interactions are poorly…

The randomness rate of an infinite binary sequence is characterized by the sequence of ratios between the Kolmogorov complexity and the length of the initial segments of the sequence. It is known that there is no uniform effective procedure…

Information Theory · Computer Science 2007-12-11 Marius Zimand

The degree-restricted random process is a natural algorithmic model for generating graphs with degree sequence D_n=(d_1, \ldots, d_n): starting with an empty n-vertex graph, it sequentially adds new random edges so that the degree of each…

Combinatorics · Mathematics 2025-08-13 Michael Molloy , Erlang Surya , Lutz Warnke

Nowadays random number generation plays an essential role in technology with important applications in areas ranging from cryptography, which lies at the core of current communication protocols, to Monte Carlo methods, and other…

Privacy preserving association rule mining has triggered the development of many privacy preserving data mining techniques. A large fraction of them use randomized data distortion techniques to mask the data for preserving. This paper…

Databases · Computer Science 2010-01-14 Rajesh Kumar Boora , Ruchi Shukla , A. K. Misra

We investigate the robustness of random networks reinforced by adding hidden edges against targeted attacks. This study focuses on two types of reinforcement: uniform reinforcement, where edges are randomly added to all nodes, and selective…

Physics and Society · Physics 2024-07-30 Tomoyo Kawasumi , Takehisa Hasegawa

We extend the use of random evolving sets to time-varying conductance models and utilize it to provide tight heat kernel upper bounds. It yields the transience of any uniformly lazy random walk, on Z^d, d>=3, equipped with uniformly bounded…

Probability · Mathematics 2016-03-22 Amir Dembo , Ruojun Huang , Ben Morris , Yuval Peres

We propose an approach to reduce the bias of ridge regression and regularization kernel network. When applied to a single data set the new algorithms have comparable learning performance with the original ones. When applied to incremental…

Machine Learning · Statistics 2016-03-17 Qiang Wu

This paper addresses the problem of learning binary hash codes for large scale image search by proposing a novel hashing method based on deep neural network. The advantage of our deep model over previous deep model used in hashing is that…

Computer Vision and Pattern Recognition · Computer Science 2015-08-31 Thanh-Toan Do , Anh-Zung Doan , Ngai-Man Cheung

Expander graphs, due to their mixing properties, are useful in many algorithms and combinatorial constructions. One can produce an expander graph with high probability by taking a random graph (e.g., the union of $d$ random bijections for a…

Combinatorics · Mathematics 2024-05-30 Geoffroy Caillat-Grenier

In recent years, deep neural networks demonstrated state-of-the-art performance in a large variety of tasks and therefore have been adopted in many applications. On the other hand, the latest studies revealed that neural networks are…

Computer Vision and Pattern Recognition · Computer Science 2018-12-07 Jingyang Zhang , Hsin-Pai Cheng , Chunpeng Wu , Hai Li , Yiran Chen

The random reversal graph offers new perspectives, allowing to study the connectivity of genomes as well as their most likely distance as a function of the reversal rate. Our main result shows that the structure of the random reversal graph…

Combinatorics · Mathematics 2010-03-04 Emma Y. Jin , Christian M. Reidys

We introduce data structures for solving robust regression through stochastic gradient descent (SGD) by sampling gradients with probability proportional to their norm, i.e., importance sampling. Although SGD is widely used for large scale…

Machine Learning · Computer Science 2022-07-19 Sepideh Mahabadi , David P. Woodruff , Samson Zhou

We investigate searching efficiency of different kinds of random walk on complex networks which rely on local information and one-step memory. For the studied navigation strategies we obtained theoretical and numerical values for the graph…

Computers and Society · Computer Science 2024-11-15 Miroslav Mirchev , Lasko Basnarkov , Igor Mishkovski

This work shows how a secure Internet can be implemented through a fast key distribution system that uses physical noise to protect the transmitted information. Starting from a shared random sequence $K_0$ between two (or more) users,…

Quantum Physics · Physics 2007-05-23 Geraldo A. Barbosa

This paper investigates the benefits of the side information on the universal compression of sequences from a mixture of $K$ parametric sources. The output sequence of the mixture source is chosen from the source $i \in \{1,\ldots ,K\}$…

Information Theory · Computer Science 2014-12-01 Ahmad Beirami , Liling Huang , Mohsen Sardari , Faramarz Fekri

This paper investigates and analyzes the dynamics of the two-dimensional Duffing map. Multistability behavior has been observed from the system numerically. Such behavior, especially the coexistence of chaotic and periodic attractors, is…

Pattern Formation and Solitons · Physics 2023-04-11 Hayder Natiq , Animesh Roy , Santo Banerjee , A. P. Misra , N. A. A. Fataf

A special type of cyclic sequences named adjacency-hopping de Bruijn sequences is introduced in this paper. It is theoretically proved the existence of such sequences, and the number of such sequences is derived. These sequences guarantee…

Information Theory · Computer Science 2023-09-07 Bin Chen , Zhenglin Liang , Shiqian Wu

Cryptomining poses significant security risks, yet traditional detection methods like blacklists and Deep Packet Inspection (DPI) are often ineffective against encrypted mining traffic and suffer from high false positive rates. In this…

Cryptography and Security · Computer Science 2026-02-12 Ruisheng Shi , Ziding Lin , Haoran Sun , Qin Wang , Shihan Zhang , Lina Lan , Zhiyuan Peng , Chenfeng Wang

Cryptographic approaches, such as secure multiparty computation, can be used to compute in a secure manner the function of a distributed graph without centralizing the data of each participant. However, the output of the protocol itself can…

Cryptography and Security · Computer Science 2024-12-09 Sofiane Azogagh , Zelma Aubin Birba , Josée Desharnais , Sébastien Gambs , Marc-Olivier Killijian , Nadia Tawbi