cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Invariance of separability probability over reduced states in 4x4 bipartite systems
Creators: name: Lovas, Attila
name: Andai, Attila
Publisher: name: arXiv
Year: 2016
Subjects: subject: Mathematical Physics (math-ph)
subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences
subject: 81P16, 81P40, 81P45

description: The geometric separability probability of composite quantum systems is extensively studied in the last decades. One of most simple but strikingly difficult problem is to compute the separability probability of qubit-qubit and rebit-rebit quantum states with respect to the Hilbert-Schmidt measure. A lot of numerical simulations confirm the P(rebit-rebit)=29/64 and P(qubit-qubit)=8/33 conjectured probabilities. Milz and Strunz studied the separability probability with respect to given subsystems. They conjectured that the separability probability of qubit-qubit (and qubit-qutrit) depends on sum of single qubit subsystems (D), moreover it depends just on the Bloch radii (r) of D and it is constant in r. Using the Peres-Horodecki criterion for separability we give mathematical proof for the P(rebit-rebit)=29/64 probability and we present an integral formula for the complex case which hopefully will help to prove the P(qubit-qubit)=8/33 probability too. We prove Milz and Strunz's conjecture for rebit-rebit and qubit-qubit states. The case, when the state space is endowed with the volume form generated by the operator monotone function f(x)=sqrt(x) is studied too in detail. We show, that even in this setting the Milz and Strunz's conjecture holds and we give an integral formula for separability probability according to this measure.
description: 24 pages, 1 figure
Volume of the space of qubit-qubit channels and state transformations under random quantum channels
Creators: name: Lovas, Attila
name: Andai, Attila
Publisher: name: arXiv
Year: 2017
Subjects: subject: Mathematical Physics (math-ph)
subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences
subject: 81P16, 81P45, 94A17

description: The simplest building blocks for quantum computations are the qubit-qubit quantum channels. In this paper, we analyze the structure of these channels via their Choi representation. The restriction of a quantum channel to the space of classical states (i.e. probability distributions) is called the underlying classical channel. The structure of quantum channels over a fixed classical channel is studied, the volume of general and unital qubit channels with respect to the Lebesgue measure is computed and explicit formulas are presented for the distribution of the volume of quantum channels over given classical channels. We study the state transformation under uniformly random quantum channels. If one applies a uniformly random quantum channel (general or unital) to a given qubit state, the distribution of the resulted quantum states is presented.
description: 18 pages, 3 figures. arXiv admin note: text overlap with arXiv:1607.01215
On points with algebraically conjugate coordinates close to smooth curves
Creators: name: Bernik, V.
name: Götze, F.
name: Gusakova, A.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics

description: We show that for any sufficiently large integer $Q$ and a real $0\leqλ\leq\frac34$ there exists a value $c(n,f,J)>0$ such that all strips $L(Q,λ)=\{(x,y):|y-f(x)|
description: arXiv admin note: text overlap with arXiv:1608.00873
Why is Paris burning?: comparing French and American newspaper framing of the 2005 riots in Paris' suburbs
Creators: name: Kurowski, Rachel Michelle
Publisher: name: The University of North Carolina at Chapel Hill University Libraries
Year: 2009

description: In this paper, I compare the newspaper coverage by French and American newspapers of the riots that occurred in Paris' suburbs in 2005. These riots were a highly publicized event, as they highlighted the problems with France's integration model. Most of the rioters were Muslim youths, who live in ghettos with poor socioeconomic conditions. I analyzed the articles of a conservative and a liberal paper from each country during the three weeks after the first articles appeared. I looked for national and political framing in each paper. I also found a third frame while doing my research: collective action or injustice.
A Construction of Representations of Loop Group and Affine Lie Algebra of $\mathfrak{sl}_n$
Creators: name: Dai, Xuanzhong
name: Zhu, Yongchang
Publisher: name: arXiv
Year: 2019
Subjects: subject: Representation Theory (math.RT)
subject: FOS: Mathematics
subject: Primary 22E66, Secondary 17B67

description: In this paper, we construct a representation of loop group and derive the formula of the corresponding representation of the affine Kac-Moody algebra with level 1. And we also provide a concrete realization of Whittaker functionals in the dual representation.
description: 20 pages. Comments are welcome!
Bits, Cobits, and Qubits: Partial Coherence in Dissipative Systems
Creators: name: Todd, Ian
Publisher: name: Zenodo
Year: 2025

description: Background: Information theory has traditionally centered on two paradigms: classical bits (completely decoherent states) and quantum qubits (fully coherent states). However, many complex adaptive systems—particularly biological neural networks—operate in an intermediate regime characterized by partial coherence maintained through continuous entropy gradients.

Purpose: We introduce ”cobits” as a novel information measure quantifying partial coherence in dissipative systems, addressing a fundamental gap between classical and quantum information theories.

Theory: Cobits are mathematically formalized through a coherence measure C(ρ) and a newly introduced smoothness parameter Γ, where Hcobit(ρ,Γ) = Γ·C(ρ) log2(Deff). The Γ parameter explicitly quantifies the continuity of entropy flow, differentiating dissipative coherent systems from both classical and quantum extremes.

Key Insight: Cobit-based coherence is inherently resistant to reductionist measurement approaches, as measurement disrupts the continuous entropy gradients that sustain partial coherence.

Results: Biological neural networks function as high-Γ cobit systems, with ephaptic fields and neural criticality serving as mechanisms that smooth discrete entropy inputs into continuous coherence, explaining why reductionist approaches to neuroscience often fail to capture emergent cognitive phenomena.

Conclusions: The bit-cobit-qubit spectrum provides a unified framework for understanding information processing across disparate systems, with profound implications for neuroscience, artificial intelligence, physics, and complex systems theory more broadly.
Modular curves of prime-power level with infinitely many rational points
Creators: name: Sutherland, Andrew V.
name: Zywina, David
Publisher: name: arXiv
Year: 2016
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 14G35 (primary), 11G05, 11F80 (secondary)

description: For each open subgroup $G$ of ${\rm GL}_2(\hat{\mathbb{Z}})$ containing $-I$ with full determinant, let $X_G/\mathbb{Q}$ denote the modular curve that loosely parametrizes elliptic curves whose Galois representation, which arises from the Galois action on its torsion points, has image contained in $G$. Up to conjugacy, we determine a complete list of the $248$ such groups $G$ of prime power level for which $X_G(\mathbb{Q})$ is infinite. For each $G$, we also construct explicit maps from each $X_G$ to the $j$-line. This list consists of $220$ modular curves of genus $0$ and $28$ modular curves of genus $1$. For each prime $\ell$, these results provide an explicit classification of the possible images of the $\ell$-adic Galois representations arising from elliptic curves over $\mathbb{Q}$ that is complete except for a finite set of exceptional $j$-invariants.
description: two typos in the sup column of Table 1 have been corrected
You Are Not Here: Sartre’s Phenomenological Ontology and the Architecture of Absence
Creators: name: Herrington, Susan
Publisher: name: FOOTPRINT
Year: 2008

description: This paper examines Jean-Paul Sartre’s phenomenological ontology in relationship to experiences with architecture that account for absence. While interest in Sartre’s phenomenology has waned over the past thirty years, philosophers of art are revisiting his work, particularly the way imagination figures in his phenomenology. As educators, students, and practitioners who have the task of imagining what could be, Sartre’s grasp of the imagining consciousness in experience is especially relevant. His three main forms of the imagining consciousness – negation, nothingness, and being – are explored in the context space, place, and location. These forms of consciousness are drawn from his major phenomenological studies regarding the imagination, Being and Nothingness: An Essay on Phenomenological Ontology (1943; 1956), The Imaginary (1940; 2004), and Critique of Dialectical Reason (1960; 1976). Examples of absence include in-situ memorial structures that literally provide the space for negation, sites of religious veneration that render the place of nothingness, and spontaneous memorials that serve as the location for being (pour-soi, en-soi, and pour-autrui). Ultimately, Sartre’s phenomenological ontology reveals that imagination plays a vital role in understanding the experiential power of architecture in relationship to space, place, and location. In doing so, this paper also suggests that the imagining conscious itself may be an important part of an ontology of architecture.
description: FOOTPRINT, Issue # 3 | Special issue | Architecture and Phenomenology
Placing the Fourfold: Topology as Environmental Design
Creators: name: Teal, Randall
Publisher: name: FOOTPRINT
Year: 2008

description: In his later writing, Martin Heidegger outlines an existential structure called the fourfold, which is composed of earth, sky, mortals, and divinities. Gathering the fourfold is the ‘thing’, which, by its ‘thinging’ makes manifest a world. This is the happening of ‘place’, and Heidegger’s descriptions of this happening offer a certain lyrical beauty, but are not particularly illuminating if left undigested. In order to get to the real wealth one must examine the phenomena suggested, moving beyond the intellect into the experiences themselves. In light of such reading, considering environmental issues – particularly the way we build– might suggest directions toward more responsive and attuned practices that both acknowledge and activate the nuances of place. Although Heidegger says at the beginning of his essay “Building Dwelling Thinking” that he is not trying to ‘discover architectural ideas’ or develop ‘rules for building’, I still believe it is important to delve into this work with an eye toward architecture, as he lays out some beautiful and insightful ideas by which we might better assess our place in the environment. If we read Heidegger with the phenomena in mind, a richness emerges from the poetic quality of his writing that reflects the imbrication of time, culture, growth, human responsibility, and those things of significance within our world. My hope is that through such reading and thinking, possibilities might surface for designers to develop deeper phenomenological connections between building and place. In this way, Heidegger’s poetic descriptions of the thing and the fourfold can be a catalyst in shedding new light on the way we think about building with environments. This approach seeks to question the often myopic view of sustainability as technological upgrade and instrumental efficiency; for example, solar panels on a sweatshop would not demonstrate the depth of attunement that Heidegger’s writings endorse. In order to move beyond simply limiting ecological damage and maximising natural resources, it becomes important for mortals to create things that bring us together with the earth, sky, and divinities; and in so doing gather a place for a sustainable future.
description: FOOTPRINT, Issue # 3 | Special issue | Architecture and Phenomenology
Rare Top Decays in Minimal and Non-minimal Universal Extra Dimension
Creators: name: Dey, Ujjal Kumar
name: Jha, Tapoja
Publisher: name: arXiv
Year: 2016
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: The flavour changing decays of the top quark are severely suppressed in the Standard Model by virtue of the Glashow-Iliopoulos-Maiani mechanism. Many beyond Standard Model extensions predict the decay rates at a level that is observable in the LHC. We perform a complete one-loop calculation of the flavour changing top quark decays $t\to cγ$ and $t\to ch$ in the universal extra dimensional model. Apart from considering the decay rates in the minimal version of the model, we also calculate the rates in the non-minimal scenario where the presence of boundary localised terms interestingly modify the set-up. We find that the decay rates in the minimal variant of the model do not change much from their Standard Model values. In the non-minimal version of this model, these decay rates can be higher for specific choices of the boundary localised parameters for a certain range of inverse compactification radius. But these model parameters lead to Kaluza-Klein particle masses that are in tension with various searches at the LHC.
description: 31 pages, 11 figures; added more discussion, one section, a few clarifications and minor changes in the text and abstract; fixed typos; updated references; matches published version
The Problem of Adhesion Methods and Locomotion Mechanism Development for Wall-Climbing Robots
Creators: name: Vlasova, Nataly S.
name: Bykov, Nikita V.
Publisher: name: arXiv
Year: 2019
Subjects: subject: Robotics (cs.RO)
subject: FOS: Computer and information sciences

description: This review considers a problem in the development of mobile robot adhesion methods with vertical surfaces and the appropriate locomotion mechanism design. The evolution of adhesion methods for wall-climbing robots (based on friction, magnetic forces, air pressure, electrostatic adhesion, molecular forces, rheological properties of fluids and their combinations) and their locomotion principles (wheeled, tracked, walking, sliding framed and hybrid) is studied. Wall-climbing robots are classified according to the applications, adhesion methods and locomotion mechanisms. The advantages and disadvantages of various adhesion methods and locomotion mechanisms are analyzed in terms of mobility, noiselessness, autonomy and energy efficiency. Focus is placed on the physical and technical aspects of the adhesion methods and the possibility of combining adhesion and locomotion methods.
Diagnosing Beijing 2020: Mapping the Ungovernable City
Creators: name: Visser, Robin
Publisher: name: FOOTPRINT
Year: 2008

description: Beijing Municipality, characterised by the ‘off-ground’ architecture distinguishing neo-liberal privatisation, is attempting to mitigate the damaging effects of rampant development on the social fabric, cultural heritage, and the environment by adopting sustainable urban planning. I argue that the sustainability rhetoric in the Beijing Municipality 2020 Plans functions in part as strategic metaphors masking unnamed, imminent threats to governance. In this article I diagnose four Beijing plans (Beijing 2006-2015 ‘Rail Transit Plan’ for Compact City, Beijing 2005-2020 ‘Underground Space Plan’ for Alternative Space, Beijing 2006-2020 ‘Undeveloped Area Plan’ for Ecological Responsibility, and Beijing 2006-2010 ‘Low-income Housing Plan’ for Affordability and Liveability). A diagrammatics of the plans illuminates not so much a mapping of Beijing’s future as the forms of spontaneity preoccupying the nation at this historical juncture. The Beijing 2020 plan, as city mapping more generally, discloses the imminence of ungovernable city. The fact that citizens are demanding greater authority over Beijing governance suggests that radical alterations to its urban fabric and quality of life have incited the imminent sociability that is the city.
description: FOOTPRINT, Issue # 2 | Spring 2008 | Mapping Urban Complexity in an Asian Context
BabyBathe study protocol: A randomised controlled feasibility trial to change baby bathing practice during the first months of life
Creators: name: Perkin, Michael
name: Ussher, Michael
name: Goldsmith, Lucy
name: Fiohr, Carsten
name: Roberts, Amanda
name: Cornelius, Victoria
name: Wahlich, Charlotte
name: Willis, Kathryn
name: Boyle, Robert J
Publisher: name: St George's, University of London
Year: 2024
Subjects: classificationCode: 420605
subject: Preventative health care

description: Introduction: Atopic eczema causes the highest global burden of all skin diseases and affects up to 15% of infants and 6% of older children. Environmental factors are believed to play an important role in the aetiology of skin barrier impairment and subsequent eczema in infancy. Bathing, even with tap water alone, adversely affects skin physiology and may be a key environmental risk factor for eczema in infancy.Methods and analysis: We will work with pregnant women and their families to develop an acceptable intervention which aims to reduce infant bathing frequency and intensity. We will then undertake a randomised controlled feasibility trial recruiting 125 pregnant women from one hospital site in London, England. The sample size was rounded up and participants will be randomised at a ratio of 1:1 to the intervention advising reduced bathing frequency and intensity, with an associated reduction in use of wash products, versus standard care. The feasibility trial outcomes include: the proportion of eligible families willing to be randomised; reported adherence and acceptability of the intervention; contamination of the control group; unblinding of outcome assessments and loss to follow up. The clinical outcome will be the presence of eczema at six months of age assessed using a modified form of the UK Working Party Diagnostic Criteria for Atopic Dermatitis.Ethics and dissemination: Ethical approval has been obtained from the North of Scotland Research Ethics Committee (22/NS/0120). Data analysis, interpretation and conclusions will be presented at national and international conferences, published in peer reviewed journals and disseminated via social media, patient charities and support groups.Trial Registration: ISCTRN registration 10.1186/ISRCTN51491794
title: Основы бизнеса на рынке ценных бумаг
title: Учебник
titleType: Subtitle
Creators: name: Асаул А.Н.
name:  Асаул Н.А.
name:  Фалтинский Р.А.
Publisher: name: Институт проблем экономического возрождения
Year: 2008

description: Рассматриваются основы функционирования рынка ценных бумаг, методические и организационно-правовые технологии совершения различных сделок с ценными бумагами. Книга дает достаточно полное представление об экономической природе, видах и классификации ценных бумаг, раскрывает феномен фондового рынка и особенности предпринимательской деятельности на рынке ценных бумаг. Особое место уделено привлечению инвестиций по программам IPO. Предназначен для студентов вузов, а также широкого круга лиц. интересующихся предпринимательской деятельностью на рынке ценных бумаг.
description: Covers the basics of the functioning of the securities market, methodical and organizational-legal technologies of making various transactions with securities. The book gives a fairly complete picture of economic nature, types and classification of securities reveals the phenomenon of the stock market and characteristics of entrepreneurial activity on the securities market. Special attention is given to attraction of investments programme of the IPO. Designed for students, as well as a wide range of individuals interested in entrepreneurial activities on the securities market.
Spatial ‘Complexity’: Analysis of the Evolution of Beijing’s Movement Network and its Effects on Urban Functions
Creators: name: Sheng, Qiang
Publisher: name: FOOTPRINT
Year: 2008

description: This paper is an attempt to read the dramatic transformations happening in Beijing from a spatial perspective. Based on a model developed by Spacelab, which understands scale as being constructed in movement and communications technologies, we try to represent this process on two levels: first, on the morphology of the movement network itself, I would like to show how technological development of highway, metro and bus systems change the way people move in the city; second, on the effects of changing movement networks, I would like to examine how shops and other public activities locate and relocate themselves within urban space. In general, Beijing is a good example, with a combination of old and new patterns of movement networks, whose spatial composition results in a different pattern for emerging economies and public activities compared with western city centres. However, it is still possible to uncover a strong and consistent logic based on the way individuals move and appropriate different scales of networks. In short, this paper will try to illustrate this difference based on the local pattern of space and explain the underlying, yet simple, spatial logic behind dynamic interaction between changing movement networks and the urban functions emerging from them.
description: FOOTPRINT, Issue # 2 | Spring 2008 | Mapping Urban Complexity in an Asian Context
Arithmetic genus of integral space curves
Creators: name: Sun, Hao Max
Publisher: name: arXiv
Year: 2016
Subjects: subject: Algebraic Geometry (math.AG)
subject: FOS: Mathematics

description: We give an estimation for the arithmetic genus of an integral space curve, which are not contained in a surface of degree $k-1$. Our main technique is the Bogomolov-Gieseker type inequality for $\mathbb{P}^3$ proved by Macri.
Chiral differential operators on the upper half plane and modular forms
Creators: name: Dai, Xuanzhong
Publisher: name: arXiv
Year: 2019
Subjects: subject: Quantum Algebra (math.QA)
subject: FOS: Mathematics

description: In this paper we study the vertex operator algebra $\mathscr D^{\text{ch}}(\mathbb H,Γ)$ constructed from the fixed points of the chiral differential operators on the upper half plane which is holomorphic at all the cusps, under the action of the congruence subgroup $Γ$. To this end, we introduce an $SL(2,\mathbb R)$-invariant filtration labeled by partition pairs and study its successive quotient. We show that the successive quotient under the cuspidal condition is isomorphic to the space of modular forms. And we also give a description of the structure of $\mathscr D^{\text{ch}}(\mathbb H,Γ)$ and compute its character.
Priestley duality for MV-algebras and beyond
Creators: name: Fussner, Wesley
name: Gehrke, Mai
name: van Gool, Sam
name: Marra, Vincenzo
Publisher: name: arXiv
Year: 2020
Subjects: subject: Logic (math.LO)
subject: FOS: Mathematics
subject: 06D50 (Primary), 06D35, 03G10 (Secondary)

description: We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations on dual spaces. In this enriched environment, equational conditions on the algebraic side of the duality may more often be rendered as first-order conditions on dual spaces. In particular, we specialize our general results to the variety of MV-algebras, obtaining a duality for these in which the equations axiomatizing MV-algebras are dualized as first-order conditions.
Politicisation and the Rhetoric of Shanghai Urbanism
Creators: name: Arkaraprasertkul, Non
Publisher: name: FOOTPRINT
Year: 2008

description: Despite the spectacular contemporary metropolis image of Luijiazui, the new Central Business District (CBD) of Shanghai on the Pudong side of the Huangpu River, this paper discusses the ways Shanghai might be understood through the ‘reality’ of its urbanism. The purpose is to check in a practical way the actuality of the built environment in relation to its history and political presence through first-hand primary sources, which is intended to fill unanticipated voids that surfaced in the understanding of Shanghai in a physical sense. This can be done from the four following perspectives: urban form; individual buildings and urban imagery; visualization of the skylines; and streetscape. Using the city as a primary source, this paper succinctly presents specific information derived from the observations needed to authenticate the research, i.e. to understand the existence of contemporary architecture as a means of urban iconography, which will contribute to the theory of how we conceive and experience the hybridized urban complexity in Asian cities in a practical manner from the perspectives of both the pedestrian and architect-planner critical to the awareness the far-reaching consequence of Shanghai’s urban environment.
description: FOOTPRINT, Issue # 2 | Spring 2008 | Mapping Urban Complexity in an Asian Context
title: Оценка собственности
title: Учебное пособие
titleType: Subtitle
Creators: name: Асаул А.Н.
name:  Старинский В.Н.
name:  Асаул М.А.
Publisher: name: Институт проблем экономического возрождения, Санкт-Петербургский государственный архитектурно-строительный университет
Year: 2008

description: Изложены теоретические, методические и практические основы оценки собственности. Содержание соответствует структурным и понятийным требованиям Государственного образовательного стандарта. Представлены понятийно-терминологический аппарат, используемый в процессе определения стоимости объектов оценки, и основные методические положения в оценочной деятельности; практические рекомендации по формулированию информационно-аналитической базы оценки стоимости объектов; методы оценки стоимости предприятия как имущественного комплекса с позиций затратного, сравнительного (рыночного) и доходного подходов. Предназначено для студентов высших учебных заведений, обучающихся по специальностям: 080502 «Экономика и управление на предприятии (по отраслям)» и 2700115 «Экспертиза и управление недвижимостью», а также слушателей курса «Оценка стоимости предприятия (бизнеса)» и всех, кто интересуется проблемами оценочной деятельности.
description: Theoretical, methodological and practical basis of property valuation. Content corresponds to the structural and conceptual requirements of the State educational standard. Presents conceptual and terminological apparatus used in the process of determining the value of objects of evaluation and the main methodological guidelines in the evaluation activities; practical recommendations on the formulation of the information-analytical base of an estimation of cost of objects; methods of valuation of the enterprise as a property complex from the standpoint of cost, comparative (market) and income approaches. Intended for students of higher educational institutions enrolled in the fields of: 080502 "Economy and management at enterprise (on branches)" and 2700115 "Examination and property management" and of course "Valuation of enterprise (business)" and all who are interested in problems of evaluation.
An Efficient and Flexible Spike Train Model via Empirical Bayes
Creators: name: She, Qi
name: Wu, Xiaoli
name: Jelfs, Beth
name: Charles, Adam S.
name: Chan, Rosa H. M.
Publisher: name: arXiv
Year: 2016
Subjects: subject: Quantitative Methods (q-bio.QM)
subject: Signal Processing (eess.SP)
subject: Neurons and Cognition (q-bio.NC)
subject: Machine Learning (stat.ML)
subject: FOS: Biological sciences
subject: FOS: Electrical engineering, electronic engineering, information engineering
subject: FOS: Computer and information sciences

description: Accurate statistical models of neural spike responses can characterize the information carried by neural populations. But the limited samples of spike counts during recording usually result in model overfitting. Besides, current models assume spike counts to be Poisson-distributed, which ignores the fact that many neurons demonstrate over-dispersed spiking behaviour. Although the Negative Binomial Generalized Linear Model (NB-GLM) provides a powerful tool for modeling over-dispersed spike counts, the maximum likelihood-based standard NB-GLM leads to highly variable and inaccurate parameter estimates. Thus, we propose a hierarchical parametric empirical Bayes method to estimate the neural spike responses among neuronal population. Our method integrates both Generalized Linear Models (GLMs) and empirical Bayes theory, which aims to (1) improve the accuracy and reliability of parameter estimation, compared to the maximum likelihood-based method for NB-GLM and Poisson-GLM; (2) effectively capture the over-dispersion nature of spike counts from both simulated data and experimental data; and (3) provide insight into both neural interactions and spiking behaviours of the neuronal populations. We apply our approach to study both simulated data and experimental neural data. The estimation of simulation data indicates that the new framework can accurately predict mean spike counts simulated from different models and recover the connectivity weights among neural populations. The estimation based on retinal neurons demonstrate the proposed method outperforms both NB-GLM and Poisson-GLM in terms of the predictive log-likelihood of held-out data. Codes are available in https://doi.org/10.5281/zenodo.4704423
description: 16 pages, 20 figures, 3 tables
Performing Mimetic Mapping: A Non-Visualisable Map of the Suzhou River Area of Shanghai
Creators: name: Karandinou, Anastasia
name: Koutsoumpos, Leonidas
Publisher: name: FOOTPRINT
Year: 2008

description: This paper questions issues concerning the mapping of experience, through the concept of mimesis – the creative re-performance of the site experience onto the map. The place mapped is the Suzhou River area, a significant part of Shanghai, the former boundary between the British and American Settlements, and an ever-changing and transforming territory. Through the detailed description of the mapping processes, we analyse the position of this particular map within contemporary discourse about mapping. Here, we question the purpose of the process, the desired outcome, the consciousness of the significance of each step/event, and the possible significance of the final traces that the mapping leaves behind. Although after the mapping had been carried out, the procedure was analysed, post-rationalised, and justified through its partial documentation (as part of an educational process), this paper questions the way and the reason for these practices (the post-rationalising of the mapping activity, justifying the strategy, etc.), and their possible meaning, purpose, demand or context. Thus we conclude that the subject matter is not the final outcome of an object or ‘map’; there is no final map to be exhibited. What this paper brings forth is the mapping as an event, an action performed by the embodied experience of the actual place and by the trans-local materiality of the tools and elements involved in the process of its making.
description: FOOTPRINT, Issue # 2 | Spring 2008 | Mapping Urban Complexity in an Asian Context
A Characteristic Function for Shapley-Value-Based Attribution of Anomaly Scores
Creators: name: Takeishi, Naoya
name: Kawahara, Yoshinobu
Publisher: name: arXiv
Year: 2020
Subjects: subject: Machine Learning (cs.LG)
subject: Artificial Intelligence (cs.AI)
subject: Machine Learning (stat.ML)
subject: FOS: Computer and information sciences

description: In anomaly detection, the degree of irregularity is often summarized as a real-valued anomaly score. We address the problem of attributing such anomaly scores to input features for interpreting the results of anomaly detection. We particularly investigate the use of the Shapley value for attributing anomaly scores of semi-supervised detection methods. We propose a characteristic function specifically designed for attributing anomaly scores. The idea is to approximate the absence of some features by locally minimizing the anomaly score with regard to the to-be-absent features. We examine the applicability of the proposed characteristic function and other general approaches for interpreting anomaly scores on multiple datasets and multiple anomaly detection methods. The results indicate the potential utility of the attribution methods including the proposed one.
The Rise of the Private: Shanghai’s Transforming Housing Typologies
Creators: name: Bhatia, Neeraj
Publisher: name: FOOTPRINT
Year: 2008

description: ‘On top of the sea’ is the literal translation of Shanghai, whose urban structure was built around thin canals that crossed the city. These canals, just as the traditional street in Chinese culture, were able to move people and goods while creating a public arena for interaction. It was infrastructure – streets and canals – that was the basis for the city’s morphology. As the rivers and streets eventually grew, merged, and monumentalised, they created separation. Thus, infrastructure, which once was used to collect, now divided – as is witnessed in the new six-(or more) lane-streets or the Huangpu River, isolating Puxi from Pudong. This transforming notion of infrastructure is directly linked to changes in Shanghai’s housing typologies. The traditional lilong housing structure is comprised of a unit that multiplies through group linkages to create streets. In these lilong dwellings, the street and the architectural type are one. More recently, an influx of high-rise apartment typologies has dislocated the relationship between infrastructure and building. Here, infrastructure is used to subdivide massive plots onto which built form is whimsically placed. The disconnection and monumentalisation of infrastructure that corresponds to these shifting building typologies reveals an even deeper transformation of the public sphere – one in which isolation and alienation are substituting a loss of reality. It is here that we witness the rise of the Private and the emerging loss of public life.
description: FOOTPRINT, Issue # 2 | Spring 2008 | Mapping Urban Complexity in an Asian Context
Absence of equilibrium chiral magnetic effect
Creators: name: Zubkov, M. A.
Publisher: name: arXiv
Year: 2016
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: We analyse the $3+1$ D equilibrium chiral magnetic effect (CME). We apply derivative expansion to the Wigner transform of the two - point Green function. This technique allows us to express the response of electric current to external electromagnetic field strength through the momentum space topological invariant. We consider the wide class of the lattice regularizations of quantum field theory (that includes, in particular, the regularization with Wilson fermions) and also certain lattice models of solid state physics (including those of Dirac semimetals). It appears, that in these models the mentioned topological invariant vanishes identically at nonzero chiral chemical potential. That means, that the bulk equilibrium CME is absent in those systems.
description: Latex, 18 pages, misprints corrected. arXiv admin note: text overlap with arXiv:1603.03665
Quantum Aitchison geometry
Creators: name: Andai, Attila
name: Lovas, Attila
Publisher: name: arXiv
Year: 2020
Subjects: subject: Mathematical Physics (math-ph)
subject: FOS: Physical sciences
subject: 81P16, 81P45

description: Multiplying a likelihood function with a positive number makes no difference in Bayesian statistical inference, therefore after normalization the likelihood function in many cases can be considered as probability distribution. This idea led Aitchison to define a vector space structure on the probability simplex in 1986. Pawlowsky-Glahn and Egozcue gave a statistically relevant scalar product on this space in 2001, endowing the probability simplex with a Hilbert space structure. In this paper we present the noncommutative counterpart of this geometry. We introduce a real Hilbert space structure on the quantum mechanical finite dimensional state space. We show that the scalar product in quantum setting respects the tensor product structure and can be expressed in terms of modular operators and Hamilton operators. Using the quantum analogue of the log-ratio transformation it turns out that all the newly introduced operations emerge naturally in the language of Gibbs states. We show an orthonormal basis in the state space and study the introduced geometry on the space of qubits in details.
description: 9 pages
Differences in Halo-Scale Environments between Type 1 and Type 2 AGNs at Low Redshift
Creators: name: Jiang, Ning
name: Wang, Huiyuan
name: Mo, Houjun
name: Dong, Xiaobo
name: Wang, Tinggui
name: Zhou, Hongyan
Publisher: name: arXiv
Year: 2016
Subjects: subject: Astrophysics of Galaxies (astro-ph.GA)
subject: FOS: Physical sciences

description: Using low-redshift (z<0.09) samples of AGNs, normal galaxies and groups of galaxies selected from the Sloan Digital Sky Survey (SDSS), we study the environments of type 1 and type 2 AGNs both on small and large scales. Comparisons are made for galaxy samples matched in redshift, $r$-band luminosity, [OIII] luminosity, and also the position in groups (central or satellite). We find that type 2 AGNs and normal galaxies reside in similar environments. Type 1 and type 2 AGNs have similar clustering properties on large scales ($\gtrsim1$Mpc), but at scales smaller than 100 kpc, type 2s have significant more neighbors than type 1s ($3.09\pm0.69$ times more for central AGNs at $\lesssim30$kpc). These results suggest that type 1 and type 2 AGNs are hosted by halos of similar masses, as is also seen directly from the mass distributions of their host groups ($\sim10^{12}h^{-1} M_{\odot}$ for centrals and $\sim10^{13}h^{-1} M_{\odot}$ for satellites). Type~2s have significantly more satellites around them, and the distribution of their satellites is also more centrally concentrated. The host galaxies of both types of AGNs have similar optical properties, but their infrared colors are significantly different. Our results suggest that the simple unified model based solely on torus orientation is not sufficient, but that galaxy interactions in dark matter halos must have played an important role in the formation of the dust structure that obscures AGNs.
description: accepted for publication in ApJ, 12 pages, 9 figures, 1 table
Periods and Superstring Amplitudes
Creators: name: Stieberger, S.
Publisher: name: arXiv
Year: 2016
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: Algebraic Geometry (math.AG)
subject: Number Theory (math.NT)
subject: FOS: Physical sciences
subject: FOS: Mathematics

description: Scattering amplitudes which describe the interaction of physical states play an important role in determining physical observables. In string theory the physical states are given by vibrations of open and closed strings and their interactions are described (at the leading order in perturbation theory) by a world-sheet given by the topology of a disk or sphere, respectively. Formally, for scattering of N strings this leads to N-3-dimensional iterated real integrals along the compactified real axis or N-3-dimensional complex sphere integrals, respectively. As a consequence the physical observables are described by periods on M_{0,N} - the moduli space of Riemann spheres of N ordered marked points. The mathematical structure of these string amplitudes share many recent advances in arithmetic algebraic geometry and number theory like multiple zeta values, single-valued multiple zeta values, Drinfeld, Deligne associators, Hopf algebra and Lie algebra structures related to Grothendiecks Galois theory. We review these results, with emphasis on a beautiful link between generalized hypergeometric functions describing the real iterated integrals on M_{0,N}(R) and the decomposition of motivic multiple zeta values. Furthermore, a relation expressing complex integrals on M_{0,N}(C) as single-valued projection of iterated real integrals on M_{0,N}(R) is exhibited.
description: 31 pages, LaTeX, 6 figs; v2: a few typos removed and published version
Caves of Steel: Mapping Hong Kong in the 21st Century
Creators: name: Solomon, Jonathan D.
Publisher: name: FOOTPRINT
Year: 2008

description: Hong Kong’s extraordinary density, the results of a unique geography, economy, and political history, is often represented in cramped housing conditions, unusual sectional conditions, and variations on building typologies. This paper argues that Hong Kong’s density, in combination with its climate and consumer economy, has in fact effected a wholesale interiorisation of public society unprecedented in contemporary urban form. 'Caves of Steel' is borrowed from the title of a 1954 novel by science fiction master Isaac Azimov, in which humanity has been divided into interior and exterior factions. The radical separation of public society in Hong Kong that accompanies the growing disparity of interior and exterior urban space is perhaps better understood through Manuel DeLanda’s (Intensive Science and Virtual Philosophy, 2002) application of the terms ‘intensive’ and ‘extensive’ from the physical sciences to a description of abstract space. Through Reiser (Atlas of Novel Tectonics, 2005) ‘intensive’ and ‘extensive’ properties may be understood in the urban context as competing and collaborating ‘infrastructural’ and ‘topological’ conditions. In Hong Kong the infrastructural (dense interiorised infrastructure of multilevel shopping warrens) and the topological (vast open topology of country parks, new towns, and industrial estates) exist often in immediate proximity, while the gap between their respective public societies continues to grow. Recent proposals for the development of a variety of sites on Hong Kong’s Victoria Harbour waterfront are examined in detail as a case study of this condition and its attendant effects on mapping complex and three-dimensional urban conditions, on notions of post-colonial and post-industrial image and identity, and on the evolution of public space in an Asian context.
description: FOOTPRINT, Issue # 2 | Spring 2008 | Mapping Urban Complexity in an Asian Context
A nonlinear Stein based estimator for multichannel image denoising
Creators: name: Chaux, Caroline
name: Duval, Laurent
name: Benazza-Benyahia, Amel
name: Pesquet, Jean-Christophe
Publisher: name: arXiv
Year: 2007
Subjects: subject: Data Analysis, Statistics and Probability (physics.data-an)
subject: Applications (stat.AP)
subject: FOS: Physical sciences
subject: FOS: Computer and information sciences

description: The use of multicomponent images has become widespread with the improvement of multisensor systems having increased spatial and spectral resolutions. However, the observed images are often corrupted by an additive Gaussian noise. In this paper, we are interested in multichannel image denoising based on a multiscale representation of the images. A multivariate statistical approach is adopted to take into account both the spatial and the inter-component correlations existing between the different wavelet subbands. More precisely, we propose a new parametric nonlinear estimator which generalizes many reported denoising methods. The derivation of the optimal parameters is achieved by applying Stein's principle in the multivariate case. Experiments performed on multispectral remote sensing images clearly indicate that our method outperforms conventional wavelet denoising techniques
Gravitational time dilation induced decoherence during spontaneous emission
Creators: name: Xie, Dong
name: Xu, Chunling
name: Wang, Anmin
Publisher: name: arXiv
Year: 2015
Subjects: subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: We investigate decoherence of quantum superpositions induced by gravitational time dilation and spontaneous emission between two atomic levels. It has been shown that gravitational time dilation can be an universal decoherence source. Here, we consider decoherence induced by gravitational time dilation only in the situation of spontaneous emission. Then, we obtain that the coherence of particle's position state depends on reference frame due to the time dilation changing the distinguishability of emission photon from two positions of particle. Changing the direction of light field can also result in the difference about the coherence of quantum superpositions. For observing the decoherence effect mainly due to gravitational time dilation, time-delayed feedback can be utilized to increase the decoherence of particle's superpositions.
description: 7pages,4figures
Optimization of Synthesis Oversampled Complex Filter Banks
Creators: name: Gauthier, Jerome
name: Duval, Laurent
name: Pesquet, Jean-Christophe
Publisher: name: arXiv
Year: 2009
Subjects: subject: Information Theory (cs.IT)
subject: Systems and Control (eess.SY)
subject: Optimization and Control (math.OC)
subject: FOS: Computer and information sciences
subject: FOS: Electrical engineering, electronic engineering, information engineering
subject: FOS: Mathematics

description: An important issue with oversampled FIR analysis filter banks (FBs) is to determine inverse synthesis FBs, when they exist. Given any complex oversampled FIR analysis FB, we first provide an algorithm to determine whether there exists an inverse FIR synthesis system. We also provide a method to ensure the Hermitian symmetry property on the synthesis side, which is serviceable to processing real-valued signals. As an invertible analysis scheme corresponds to a redundant decomposition, there is no unique inverse FB. Given a particular solution, we parameterize the whole family of inverses through a null space projection. The resulting reduced parameter set simplifies design procedures, since the perfect reconstruction constrained optimization problem is recast as an unconstrained optimization problem. The design of optimized synthesis FBs based on time or frequency localization criteria is then investigated, using a simple yet efficient gradient algorithm.
Chiral de Rham complex on the upper half plane and modular forms
Creators: name: Dai, Xuanzhong
Publisher: name: arXiv
Year: 2020
Subjects: subject: Quantum Algebra (math.QA)
subject: FOS: Mathematics

description: For any congruence subgroup $Γ$, we study the vertex operator algebra $Ω^{ch}(\mathbb H,Γ)$ constructed from the $Γ$-invariant global sections of the chiral de Rham complex on the upper half plane, which are holomorphic at all the cusps. We introduce an $SL(2,\mathbb R)$-invariant filtration on the global sections and show that the $Γ$-invariants on the graded algebra is isomorphic to certain copies of modular forms. We also give an explicit formula for the lifting of modular forms to $Ω^{ch}(\mathbb H,Γ)$ and compute the character formula of $Ω^{ch}(\mathbb H,Γ)$. Furthermore, we show that the vertex algebra structure modifies the Rankin-Cohen bracket, and the modified bracket becomes non-zero between constant modular forms involving the Eisenstein series.