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Phylogenetic networks are used to represent evolutionary scenarios in biology and linguistics. To find the most probable scenario, it may be necessary to compare candidate networks, to distinguish different networks, and to see when one…

Combinatorics · Mathematics 2020-04-10 Remie Janssen , Yukihiro Murakami

Since numbers in the computer are represented with a fixed number of bits, loss of accuracy during calculation is unavoidable. At high precision where more bits (e.g. 64) are allocated to each number, round-off errors are typically small.…

Numerical Analysis · Mathematics 2022-10-11 Yizhou Chen , Xiaoyun Gong , Xiang Ji

A new way of addressing loss errors is introduced which combines ideas from measurement-based quantum computation and concatenated quantum codes, allowing for universal quantum computation. It is shown that for the case where leakage is…

Quantum Physics · Physics 2015-03-20 David A. Herrera-Martí , Terry Rudolph

We consider the cloning of sequences of qubits prepared in the states used in the BB84 or 6-state quantum cryptography protocol, and show that the single-qubit fidelity is unaffected even if entire sequences of qubits are prepared in the…

Quantum Physics · Physics 2007-05-23 L. -P. Lamoureux , H. Bechmann-Pasquinucci , N. J. Cerf , N. Gisin , C. Macchiavello

The quadratic complexity of self-attention in Transformer models remains a significant bottleneck for processing long sequences and deploying large language models efficiently. For this approach, there has been significant research into…

Computation and Language · Computer Science 2026-05-26 Spandan Pratyush

Adversarial attacks involve adding, small, often imperceptible, perturbations to inputs with the goal of getting a machine learning model to misclassifying them. While many different adversarial attack strategies have been proposed on image…

Computer Vision and Pattern Recognition · Computer Science 2018-06-01 Avishek Joey Bose , Parham Aarabi

A "genome structure" is a labeled directed graph with vertices of degree 1 or 2. A set of operations over such graphs is fixed, and each of the operations has a certain cost, a strictly positive number. The transformation problem consists…

Combinatorics · Mathematics 2020-04-30 K. Yu. Gorbunov , V. A. Lyubetsky

Side-channel vulnerabilities pose an increasing threat to cryptographically protected devices. Consequently, it is crucial to observe information leakages through physical parameters such as power consumption and electromagnetic (EM)…

Cryptography and Security · Computer Science 2025-03-18 Nilupulee A Gunathilake , Owen Lo , William J Buchanan , Ahmed Al-Dubai

Genome sequencing is the basis for many modern biological and medicinal studies. With recent technological advances, metagenomics has become a problem of interest. This problem entails the analysis and reconstruction of multiple DNA…

Probability · Mathematics 2022-01-14 Marlee Herring

Recently it was shown that, if the subtree and chain reduction rules have been applied exhaustively to two unrooted phylogenetic trees, the reduced trees will have at most 15k-9 taxa where k is the TBR (Tree Bisection and Reconnection)…

Data Structures and Algorithms · Computer Science 2021-04-13 Steven Kelk , Simone Linz

We study the problem of generating interesting integer sequences with a combinatorial interpretation. For this we introduce a two-step approach. In the first step, we generate first-order logic sentences which define some combinatorial…

Logic in Computer Science · Computer Science 2023-02-10 Martin Svatoš , Peter Jung , Jan Tóth , Yuyi Wang , Ondřej Kuželka

This work explores the binarization of the deconvolution-based generator in a GAN for memory saving and speedup of image construction. Our study suggests that different from convolutional neural networks (including the discriminator) where…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Jinglan Liu , Jiaxin Zhang , Yukun Ding , Xiaowei Xu , Meng Jiang , Yiyu Shi

Malware continues to evolve rapidly, and more than 450,000 new samples are captured every day, which makes manual malware analysis impractical. However, existing deep learning detection models need manual feature engineering or require high…

Cryptography and Security · Computer Science 2022-05-10 Jiawei Xu , Wenxuan Fu , Haoyu Bu , Zhi Wang , Lingyun Ying

We put forth a new computational notion of entropy, measuring the (in)feasibility of sampling high-entropy strings that are consistent with a given generator. Specifically, the i'th output block of a generator G has accessible entropy at…

Cryptography and Security · Computer Science 2021-08-24 Iftach Haitner , Omer Reingold , Salil Vadhan , Hoeteck Wee

We propose a new architecture and training methodology for generative adversarial networks. Current approaches attempt to learn the transformation from a noise sample to a generated data sample in one shot. Our proposed generator…

Machine Learning · Computer Science 2018-11-26 Safwan Hossain , Kiarash Jamali , Yuchen Li , Frank Rudzicz

We present results of extensive statistical and bit level tests on three implementations of a pseudorandom number generator algorithm using the lagged Fibonacci method with an occasional addition of an extra bit. First implementation is the…

High Energy Physics - Lattice · Physics 2008-02-03 I. Vattulainen , K. Kankaala , J. Saarinen , T. Ala-Nissila

Cryptographic primitives such as stream ciphers,Pseudorandom Number Generators (PRNGs), and block cipher modes produce sequences that are designed to be statistically indistinguishable from random data. As a result, the traditional…

Cryptography and Security · Computer Science 2026-05-20 Victor Kebande

Secure codes are widely-studied combinatorial structures which were introduced for traitor tracing in broadcast encryption. To determine the maximum size of such structures is the main research objective. In this paper, we investigate the…

Information Theory · Computer Science 2021-08-24 Bingchen Qian , Xin Wang , Gennian Ge

Many clustering problems enjoy solutions by semidefinite programming. Theoretical results in this vein frequently consider data with a planted clustering and a notion of signal strength such that the semidefinite program exactly recovers…

Information Theory · Computer Science 2020-08-11 Dustin G. Mixon , Kaiying Xie

A subset $A$ of $\mathbb{Z}^n$ is called a weak antichain if it does not contain two elements $x$ and $y$ satisfying $x_i<y_i$ for all $i$. Engel, Mitsis, Pelekis and Reiher showed that for any weak antichain $A$, the sum of the sizes of…

Combinatorics · Mathematics 2020-03-20 Barnabás Janzer