Natural Language Processing (Almost) from Scratch
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Abstraction and Generalisation in Semantic Role Labels: Propbank
Abstraction and Generalisation in Semantic Role Labels: PropBank, VerbNet or both? Paola Merlo Lonneke Van Der Plas Linguistics Department Linguistics Department University of Geneva University of Geneva 5 Rue de Candolle, 1204 Geneva 5 Rue de Candolle, 1204 Geneva Switzerland Switzerland [email protected] [email protected] Abstract The role of theories of semantic role lists is to obtain a set of semantic roles that can apply to Semantic role labels are the representa- any argument of any verb, to provide an unam- tion of the grammatically relevant aspects biguous identifier of the grammatical roles of the of a sentence meaning. Capturing the participants in the event described by the sentence nature and the number of semantic roles (Dowty, 1991). Starting from the first proposals in a sentence is therefore fundamental to (Gruber, 1965; Fillmore, 1968; Jackendoff, 1972), correctly describing the interface between several approaches have been put forth, ranging grammar and meaning. In this paper, we from a combination of very few roles to lists of compare two annotation schemes, Prop- very fine-grained specificity. (See Levin and Rap- Bank and VerbNet, in a task-independent, paport Hovav (2005) for an exhaustive review). general way, analysing how well they fare In NLP, several proposals have been put forth in in capturing the linguistic generalisations recent years and adopted in the annotation of large that are known to hold for semantic role samples of text (Baker et al., 1998; Palmer et al., labels, and consequently how well they 2005; Kipper, 2005; Loper et al., 2007). The an- grammaticalise aspects of meaning. -
A Novel Large-Scale Verbal Semantic Resource and Its Application to Semantic Role Labeling
VerbAtlas: a Novel Large-Scale Verbal Semantic Resource and Its Application to Semantic Role Labeling Andrea Di Fabio}~, Simone Conia}, Roberto Navigli} }Department of Computer Science ~Department of Literature and Modern Cultures Sapienza University of Rome, Italy {difabio,conia,navigli}@di.uniroma1.it Abstract The automatic identification and labeling of ar- gument structures is a task pioneered by Gildea We present VerbAtlas, a new, hand-crafted and Jurafsky(2002) called Semantic Role Label- lexical-semantic resource whose goal is to ing (SRL). SRL has become very popular thanks bring together all verbal synsets from Word- to its integration into other related NLP tasks Net into semantically-coherent frames. The such as machine translation (Liu and Gildea, frames define a common, prototypical argu- ment structure while at the same time pro- 2010), visual semantic role labeling (Silberer and viding new concept-specific information. In Pinkal, 2018) and information extraction (Bas- contrast to PropBank, which defines enumer- tianelli et al., 2013). ative semantic roles, VerbAtlas comes with In order to be performed, SRL requires the fol- an explicit, cross-frame set of semantic roles lowing core elements: 1) a verb inventory, and 2) linked to selectional preferences expressed in terms of WordNet synsets, and is the first a semantic role inventory. However, the current resource enriched with semantic information verb inventories used for this task, such as Prop- about implicit, shadow, and default arguments. Bank (Palmer et al., 2005) and FrameNet (Baker We demonstrate the effectiveness of VerbAtlas et al., 1998), are language-specific and lack high- in the task of dependency-based Semantic quality interoperability with existing knowledge Role Labeling and show how its integration bases. -
Mathematics 144 Set Theory Fall 2012 Version
MATHEMATICS 144 SET THEORY FALL 2012 VERSION Table of Contents I. General considerations.……………………………………………………………………………………………………….1 1. Overview of the course…………………………………………………………………………………………………1 2. Historical background and motivation………………………………………………………….………………4 3. Selected problems………………………………………………………………………………………………………13 I I. Basic concepts. ………………………………………………………………………………………………………………….15 1. Topics from logic…………………………………………………………………………………………………………16 2. Notation and first steps………………………………………………………………………………………………26 3. Simple examples…………………………………………………………………………………………………………30 I I I. Constructions in set theory.………………………………………………………………………………..……….34 1. Boolean algebra operations.……………………………………………………………………………………….34 2. Ordered pairs and Cartesian products……………………………………………………………………… ….40 3. Larger constructions………………………………………………………………………………………………..….42 4. A convenient assumption………………………………………………………………………………………… ….45 I V. Relations and functions ……………………………………………………………………………………………….49 1.Binary relations………………………………………………………………………………………………………… ….49 2. Partial and linear orderings……………………………..………………………………………………… ………… 56 3. Functions…………………………………………………………………………………………………………… ….…….. 61 4. Composite and inverse function.…………………………………………………………………………… …….. 70 5. Constructions involving functions ………………………………………………………………………… ……… 77 6. Order types……………………………………………………………………………………………………… …………… 80 i V. Number systems and set theory …………………………………………………………………………………. 84 1. The Natural Numbers and Integers…………………………………………………………………………….83 2. Finite induction -
Biography Paper – Georg Cantor
Mike Garkie Math 4010 – History of Math UCD Denver 4/1/08 Biography Paper – Georg Cantor Few mathematicians are house-hold names; perhaps only Newton and Euclid would qualify. But there is a second tier of mathematicians, those whose names might not be familiar, but whose discoveries are part of everyday math. Examples here are Napier with logarithms, Cauchy with limits and Georg Cantor (1845 – 1918) with sets. In fact, those who superficially familier with Georg Cantor probably have two impressions of the man: First, as a consequence of thinking about sets, Cantor developed a theory of the actual infinite. And second, that Cantor was a troubled genius, crippled by Freudian conflict and mental illness. The first impression is fundamentally true. Cantor almost single-handedly overturned the Aristotle’s concept of the potential infinite by developing the concept of transfinite numbers. And, even though Bolzano and Frege made significant contributions, “Set theory … is the creation of one person, Georg Cantor.” [4] The second impression is mostly false. Cantor certainly did suffer from mental illness later in his life, but the other emotional baggage assigned to him is mostly due his early biographers, particularly the infamous E.T. Bell in Men Of Mathematics [7]. In the racially charged atmosphere of 1930’s Europe, the sensational story mathematician who turned the idea of infinity on its head and went crazy in the process, probably make for good reading. The drama of the controversy over Cantor’s ideas only added spice. 1 Fortunately, modern scholars have corrected the errors and biases in older biographies. -
SRB MEASURES for ALMOST AXIOM a DIFFEOMORPHISMS José Alves, Renaud Leplaideur
SRB MEASURES FOR ALMOST AXIOM A DIFFEOMORPHISMS José Alves, Renaud Leplaideur To cite this version: José Alves, Renaud Leplaideur. SRB MEASURES FOR ALMOST AXIOM A DIFFEOMORPHISMS. 2013. hal-00778407 HAL Id: hal-00778407 https://hal.archives-ouvertes.fr/hal-00778407 Preprint submitted on 20 Jan 2013 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. SRB MEASURES FOR ALMOST AXIOM A DIFFEOMORPHISMS JOSE´ F. ALVES AND RENAUD LEPLAIDEUR Abstract. We consider a diffeomorphism f of a compact manifold M which is Almost Axiom A, i.e. f is hyperbolic in a neighborhood of some compact f-invariant set, except in some singular set of neutral points. We prove that if there exists some f-invariant set of hyperbolic points with positive unstable-Lebesgue measure such that for every point in this set the stable and unstable leaves are \long enough", then f admits a probability SRB measure. Contents 1. Introduction 2 1.1. Background 2 1.2. Statement of results 2 1.3. Overview 4 2. Markov rectangles 5 2.1. Neighborhood of critical zone 5 2.2. First generation of rectangles 6 2.3. Second generation rectangles 7 2.4. -
Bounding, Splitting and Almost Disjointness
Bounding, splitting and almost disjointness Jonathan Schilhan Advisor: Vera Fischer Kurt G¨odelResearch Center Fakult¨atf¨urMathematik, Universit¨atWien Abstract This bachelor thesis provides an introduction to set theory, cardinal character- istics of the continuum and the generalized cardinal characteristics on arbitrary regular cardinals. It covers the well known ZFC relations of the bounding, the dominating, the almost disjointness and the splitting number as well as some more recent results about their generalizations to regular uncountable cardinals. We also present an overview on the currently known consistency results and formulate open questions. 1 CONTENTS Contents Introduction 3 1 Prerequisites 5 1.1 Model Theory/Predicate Logic . .5 1.2 Ordinals/Cardinals . .6 1.2.1 Ordinals . .7 1.2.2 Cardinals . .9 1.2.3 Regular Cardinals . 10 2 Cardinal Characteristics of the continuum 11 2.1 The bounding and the dominating number . 11 2.2 Splitting and mad families . 13 3 Cardinal Characteristics on regular uncountable cardinals 16 3.1 Generalized bounding, splitting and almost disjointness . 16 3.2 An unexpected inequality between the bounding and splitting numbers . 18 3.2.1 Elementary Submodels . 18 3.2.2 Filters and Ideals . 19 3.2.3 Proof of Theorem 3.2.1 (s(κ) ≤ b(κ)) . 20 3.3 A relation between generalized dominating and mad families . 23 References 28 2 Introduction @0 Since it was proven that the continuum hypothesis (2 = @1) is independent of the axioms of ZFC, the natural question arises what value 2@0 could take and it was shown @0 that 2 could be consistently nearly anything. -
Generating Lexical Representations of Frames Using Lexical Substitution
Generating Lexical Representations of Frames using Lexical Substitution Saba Anwar Artem Shelmanov Universitat¨ Hamburg Skolkovo Institute of Science and Technology Germany Russia [email protected] [email protected] Alexander Panchenko Chris Biemann Skolkovo Institute of Science and Technology Universitat¨ Hamburg Russia Germany [email protected] [email protected] Abstract Seed sentence: I hope PattiHelper can helpAssistance youBenefited party soonTime . Semantic frames are formal linguistic struc- Substitutes for Assistance: assist, aid tures describing situations/actions/events, e.g. Substitutes for Helper: she, I, he, you, we, someone, Commercial transfer of goods. Each frame they, it, lori, hannah, paul, sarah, melanie, pam, riley Substitutes for Benefited party: me, him, folk, her, provides a set of roles corresponding to the sit- everyone, people uation participants, e.g. Buyer and Goods, and Substitutes for Time: tomorrow, now, shortly, sooner, lexical units (LUs) – words and phrases that tonight, today, later can evoke this particular frame in texts, e.g. Sell. The scarcity of annotated resources hin- Table 1: An example of the induced lexical represen- ders wider adoption of frame semantics across tation (roles and LUs) of the Assistance FrameNet languages and domains. We investigate a sim- frame using lexical substitutes from a single seed sen- ple yet effective method, lexical substitution tence. with word representation models, to automat- ically expand a small set of frame-annotated annotated resources. Some publicly available re- sentences with new words for their respective sources are FrameNet (Baker et al., 1998) and roles and LUs. We evaluate the expansion PropBank (Palmer et al., 2005), yet for many lan- quality using FrameNet. -
Almost-Free E-Rings of Cardinality ℵ1 Rudige¨ R Gob¨ El, Saharon Shelah and Lutz Strung¨ Mann
Sh:785 Canad. J. Math. Vol. 55 (4), 2003 pp. 750–765 Almost-Free E-Rings of Cardinality @1 Rudige¨ r Gob¨ el, Saharon Shelah and Lutz Strung¨ mann Abstract. An E-ring is a unital ring R such that every endomorphism of the underlying abelian group R+ is multiplication by some ring element. The existence of almost-free E-rings of cardinality greater @ than 2 0 is undecidable in ZFC. While they exist in Godel'¨ s universe, they do not exist in other models @ of set theory. For a regular cardinal @1 ≤ λ ≤ 2 0 we construct E-rings of cardinality λ in ZFC which have @1-free additive structure. For λ = @1 we therefore obtain the existence of almost-free E-rings of cardinality @1 in ZFC. 1 Introduction + Recall that a unital ring R is an E-ring if the evaluation map ": EndZ(R ) ! R given by ' 7! '(1) is a bijection. Thus every endomorphism of the abelian group R+ is multiplication by some element r 2 R. E-rings were introduced by Schultz [20] and easy examples are subrings of the rationals Q or pure subrings of the ring of p-adic integers. Schultz characterized E-rings of finite rank and the books by Feigelstock [9, 10] and an article [18] survey the results obtained in the eighties, see also [8, 19]. In a natural way the notion of E-rings extends to modules by calling a left R-module M an E(R)-module or just E-module if HomZ(R; M) = HomR(R; M) holds, see [1]. -
What the Neurocognitive Study of Inner Language Reveals About Our Inner Space Hélène Loevenbruck
What the neurocognitive study of inner language reveals about our inner space Hélène Loevenbruck To cite this version: Hélène Loevenbruck. What the neurocognitive study of inner language reveals about our inner space. Epistémocritique, épistémocritique : littérature et savoirs, 2018, Langage intérieur - Espaces intérieurs / Inner Speech - Inner Space, 18. hal-02039667 HAL Id: hal-02039667 https://hal.archives-ouvertes.fr/hal-02039667 Submitted on 20 Sep 2019 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Preliminary version produced by the author. In Lœvenbruck H. (2008). Épistémocritique, n° 18 : Langage intérieur - Espaces intérieurs / Inner Speech - Inner Space, Stéphanie Smadja, Pierre-Louis Patoine (eds.) [http://epistemocritique.org/what-the-neurocognitive- study-of-inner-language-reveals-about-our-inner-space/] - hal-02039667 What the neurocognitive study of inner language reveals about our inner space Hélène Lœvenbruck Université Grenoble Alpes, CNRS, Laboratoire de Psychologie et NeuroCognition (LPNC), UMR 5105, 38000, Grenoble France Abstract Our inner space is furnished, and sometimes even stuffed, with verbal material. The nature of inner language has long been under the careful scrutiny of scholars, philosophers and writers, through the practice of introspection. The use of recent experimental methods in the field of cognitive neuroscience provides a new window of insight into the format, properties, qualities and mechanisms of inner language. -
CNS 2014 Program
Cognitive Neuroscience Society 21st Annual Meeting, April 5-8, 2014 Marriott Copley Place Hotel, Boston, Massachusetts 2014 Annual Meeting Program Contents 2014 Committees & Staff . 2 Schedule Overview . 3 . Keynotes . 5 2014 George A . Miller Awardee . 6. Distinguished Career Contributions Awardee . 7 . Young Investigator Awardees . 8 . General Information . 10 Exhibitors . 13 . Invited-Symposium Sessions . 14 Mini-Symposium Sessions . 18 Poster Schedule . 32. Poster Session A . 33 Poster Session B . 66 Poster Session C . 98 Poster Session D . 130 Poster Session E . 163 Poster Session F . 195 . Poster Session G . 227 Poster Topic Index . 259. Author Index . 261 . Boston Marriott Copley Place Floorplan . 272. A Supplement of the Journal of Cognitive Neuroscience Cognitive Neuroscience Society c/o Center for the Mind and Brain 267 Cousteau Place, Davis, CA 95616 ISSN 1096-8857 © CNS www.cogneurosociety.org 2014 Committees & Staff Governing Board Mini-Symposium Committee Roberto Cabeza, Ph.D., Duke University David Badre, Ph.D., Brown University (Chair) Marta Kutas, Ph.D., University of California, San Diego Adam Aron, Ph.D., University of California, San Diego Helen Neville, Ph.D., University of Oregon Lila Davachi, Ph.D., New York University Daniel Schacter, Ph.D., Harvard University Elizabeth Kensinger, Ph.D., Boston College Michael S. Gazzaniga, Ph.D., University of California, Gina Kuperberg, Ph.D., Harvard University Santa Barbara (ex officio) Thad Polk, Ph.D., University of Michigan George R. Mangun, Ph.D., University of California, -
The Axiom of Choice and Its Implications
THE AXIOM OF CHOICE AND ITS IMPLICATIONS KEVIN BARNUM Abstract. In this paper we will look at the Axiom of Choice and some of the various implications it has. These implications include a number of equivalent statements, and also some less accepted ideas. The proofs discussed will give us an idea of why the Axiom of Choice is so powerful, but also so controversial. Contents 1. Introduction 1 2. The Axiom of Choice and Its Equivalents 1 2.1. The Axiom of Choice and its Well-known Equivalents 1 2.2. Some Other Less Well-known Equivalents of the Axiom of Choice 3 3. Applications of the Axiom of Choice 5 3.1. Equivalence Between The Axiom of Choice and the Claim that Every Vector Space has a Basis 5 3.2. Some More Applications of the Axiom of Choice 6 4. Controversial Results 10 Acknowledgments 11 References 11 1. Introduction The Axiom of Choice states that for any family of nonempty disjoint sets, there exists a set that consists of exactly one element from each element of the family. It seems strange at first that such an innocuous sounding idea can be so powerful and controversial, but it certainly is both. To understand why, we will start by looking at some statements that are equivalent to the axiom of choice. Many of these equivalences are very useful, and we devote much time to one, namely, that every vector space has a basis. We go on from there to see a few more applications of the Axiom of Choice and its equivalents, and finish by looking at some of the reasons why the Axiom of Choice is so controversial. -
Cardinal Invariants Concerning Functions Whose Sum Is Almost Continuous Krzysztof Ciesielski West Virginia University, [email protected]
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by The Research Repository @ WVU (West Virginia University) Faculty Scholarship 1995 Cardinal Invariants Concerning Functions Whose Sum Is Almost Continuous Krzysztof Ciesielski West Virginia University, [email protected] Follow this and additional works at: https://researchrepository.wvu.edu/faculty_publications Part of the Mathematics Commons Digital Commons Citation Ciesielski, Krzysztof, "Cardinal Invariants Concerning Functions Whose Sum Is Almost Continuous" (1995). Faculty Scholarship. 822. https://researchrepository.wvu.edu/faculty_publications/822 This Article is brought to you for free and open access by The Research Repository @ WVU. It has been accepted for inclusion in Faculty Scholarship by an authorized administrator of The Research Repository @ WVU. For more information, please contact [email protected]. Cardinal invariants concerning functions whose sum is almost continuous. Krzysztof Ciesielski1, Department of Mathematics, West Virginia University, Mor- gantown, WV 26506-6310 ([email protected]) Arnold W. Miller1, York University, Department of Mathematics, North York, Ontario M3J 1P3, Canada, Permanent address: University of Wisconsin-Madison, Department of Mathematics, Van Vleck Hall, 480 Lincoln Drive, Madison, Wis- consin 53706-1388, USA ([email protected]) Abstract Let A stand for the class of all almost continuous functions from R to R and let A(A) be the smallest cardinality of a family F ⊆ RR for which there is no g: R → R with the property that f + g ∈ A for all f ∈ F . We define cardinal number A(D) for the class D of all real functions with the Darboux property similarly.