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A difference equation based method of determining two factors of a composite is presented. The feasibility of P-complexity is shown. Presentation of material is non-theoretical; intended to be accessible to a broader audience of non…

Discrete Mathematics · Computer Science 2016-02-23 Charles Sauerbier

We introduce subsequence covers (s-covers, in short), a new type of covers of a word. A word $C$ is an s-cover of a word $S$ if the occurrences of $C$ in $S$ as subsequences cover all the positions in $S$. The s-covers seem to be…

Data Structures and Algorithms · Computer Science 2025-09-09 Panagiotis Charalampopoulos , Solon P. Pissis , Jakub Radoszewski , Wojciech Rytter , Tomasz Waleń , Wiktor Zuba

This thesis investigates how the sub-structure of words can be accounted for in probabilistic models of language. Such models play an important role in natural language processing tasks such as translation or speech recognition, but often…

Computation and Language · Computer Science 2015-08-19 Jan A. Botha

Noise and uncertainty are usually the enemy of machine learning, noise in training data leads to uncertainty and inaccuracy in the predictions. However, we develop a machine learning architecture that extracts crucial information out of the…

Machine Learning · Computer Science 2022-09-20 Bahdan Zviazhynski , Gareth Conduit

Datasets collected from the open world unavoidably suffer from various forms of randomness or noiseness, leading to the ubiquity of aleatoric (data) uncertainty. Quantifying such uncertainty is particularly pivotal for object detection,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Peng Cui , Guande He , Dan Zhang , Zhijie Deng , Yinpeng Dong , Jun Zhu

We study uncountable structures similar to the Fra\"iss\'e limits. The standard inductive arguments from the Fra\"iss\'e theory are replaced by forcing, so the structures we obtain are highly sensitive to the universe of set theory. In…

Logic · Mathematics 2024-12-19 Ziemowit Kostana

The interpretability of ML models is important, but it is not clear what it amounts to. So far, most philosophers have discussed the lack of interpretability of black-box models such as neural networks, and methods such as explainable AI…

Machine Learning · Computer Science 2024-01-05 Tim Räz

Face anti-spoofing (FAS) plays a vital role in securing the face recognition systems from presentation attacks. Most existing FAS methods capture various cues (e.g., texture, depth and reflection) to distinguish the live faces from the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Zitong Yu , Xiaobai Li , Xuesong Niu , Jingang Shi , Guoying Zhao

Boson sampling is a mathematical problem that is strongly believed to be intractable for classical computers, whereas passive linear interferometers can produce samples efficiently. So far, the problem remains a computational curiosity, and…

Quantum Physics · Physics 2019-07-04 Georgios M. Nikolopoulos , Thomas Brougham

This work is a part of my upcoming thesis [7]. We establish an equiconsistency between (1) weak indestructibility for all $\kappa +2$-degrees of strength for cardinals $\kappa $ in the presence of a proper class of strong cardinals, and (2)…

Logic · Mathematics 2024-11-20 James Holland

The protein folding problem has attracted an increasing attention from physicists. The problem has a flavor of statistical mechanics, but possesses the most common feature of most biological problems -- the profound effects of evolution. I…

Statistical Mechanics · Physics 2009-10-31 Chao Tang

Glassiness occurs when disorder and frustration cause local degrees of freedom to freeze despite the lack of long-range order. In systems of interacting bosons, such glassiness may involve a purely quantum degree of…

Disordered Systems and Neural Networks · Physics 2026-03-24 Anna M. Piekarska , Tadeusz K. Kopeć

Given subsets of uncertain values, we study the problem of identifying the subset of minimum total value (sum of the uncertain values) by querying as few values as possible. This set selection problem falls into the field of explorable…

Data Structures and Algorithms · Computer Science 2023-06-16 Nicole Megow , Jens Schlöter

For two causal structures with the same set of visible variables, one is said to observationally dominate the other if the set of distributions over the visible variables realizable by the first contains the set of distributions over the…

Machine Learning · Statistics 2025-02-24 Marina Maciel Ansanelli , Elie Wolfe , Robert W. Spekkens

In recent years, image and video manipulations with Deepfake have become a severe concern for security and society. Many detection models and datasets have been proposed to detect Deepfake data reliably. However, there is an increased…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Ying Xu , Philipp Terhörst , Kiran Raja , Marius Pedersen

A backdoor set is a set of variables of a propositional formula such that fixing the truth values of the variables in the backdoor set moves the formula into some polynomial-time decidable class. If we know a small backdoor set we can…

Data Structures and Algorithms · Computer Science 2011-11-01 Serge Gaspers , Stefan Szeider

A practical strategy is presented and successfully implemented to determine form factors in the time-like but unphysical (below threshold) region using dispersion relations, in a model independent way without any bias towards expected…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. Baldini , E. Pasqualucci , S. Dubnička , P. Gauzzi , S. Pacetti , Y. Srivastava

Woven shell structures are beneficial for applications requiring lightweight, damage resilience, and design tunability, such as in wearable devices, soft robotics, and aerospace systems. A fundamental component of woven structures is the…

Applied Physics · Physics 2025-12-02 Jaimie Krankel , Guowei Wayne Tu , Evgueni T. Filipov

Algorithmic transparency entails exposing system properties to various stakeholders for purposes that include understanding, improving, and contesting predictions. Until now, most research into algorithmic transparency has predominantly…

There has been a large number of studies in interpretable and explainable ML for cybersecurity, in particular, for intrusion detection. Many of these studies have significant amount of overlapping and repeated evaluations and analysis. At…

Cryptography and Security · Computer Science 2024-07-08 Omer Subasi , Johnathan Cree , Joseph Manzano , Elena Peterson
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