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Regression Models for Relevance Feedback and Feature Selection

Regression Models for Relevance Feedback and Feature Selection
Regression Models for Relevance Feedback and Feature Selection

REGRESSION MODELS FOR RELEV ANCE FEEDBACK AND FEATURE SELECTION IN CONTENT-BASED IMAGE RETRIEV AL

Eric J.Pauwels

PNA4,CWI Amsterdam SJ1098,NL eric.pauwels@cwi.nl

Geert Caenen

ESAT-PSI,K.U.Leuven

B-3001Leuven,Belgium geert.caenen@esat.kuleuven.ac.be

1.INTRODUCTION

One of the main reasons why content-based image retrieval(CBIR)is such a challenging problem has to do with the fact that there is no canonical way to capture the visual content encapsulated in an im-age.As a consequence,most CBIR search-engines keep the human in the loop by regularly requesting his feedback to expedite the search-action.More precisely,the feedback is harnessed to estimate for every image in the database,the likelihood of its relevance to the user,whereupon the most promis-ing candidates are displayed for further inspection and feedback.This procedure is then iterated as often as necessary to locate the target image.

To model the fuzzy state of knowledge about the user’s preferences,the search engine assigns to ev-ery image in the database a relevance probability that re?ects the cur-

rent estimate of relevance.Hence,means that in its current estimate,the image is consid-ered to be highly relevant,whereas ex-presses the opposite.

Initially every image in the database is consid-ered equally likely.However,as more information about the user preferences becomes available (through relevance feedback),the probability measure will start concentrating on regions in the database that seem promising,and images in these regions are more likely to be sampled for display.

Relevance feedback mechanism:Most recent CBIR-interfaces have shifted their focus in feed-back from features to images:The user is no longer prompted to specify individual feature-values or-weights,but can directly express his (global)preference of one image relative to the rest.It is this model of natural interaction that we

lating the qualitative user feedback(in terms of ex-amples and counter-examples)into quantitative in-formation useful for retrieval.Furthermore,such models yield a principled tool to estimate the ef-?cacy of individual features in gauging the over-all relevance of images.As a consequence,it becomes possible to automatically and adaptively extract from the vast collection of pre-recorded image-features,the small subset that correlates best with the particular search at hand. Throughout this paper,we assume that ev-ery image can be represented by a-dimensional(numerical)feature-vector

.This also means that the rel-evance probability is in fact a function

of the feature-vector.

2.INFERENCE ENGINE BASED ON

LOGISTIC REGRESSION

2.1.Probabilistic Framework

At every stage of the search-history,the user in-spects a sample from the database(window1) and provides the system with feedback by mak-ing a number of positive and negative selections and transferring them into the collection box as examples and counter-examples(see above).This means that for the(say)images in the collection-box we have additional information that is cap-tured in a binary variable, where or0indicates that image was classi?ed as an example or counter-example,re-spectively.

To get a mathematical model we assume that these feedback-variables are observations of a bi-nary stochastic variable that assigns a relevance output(1or0)to every possible feature-vector .Put differently,given its current state of knowledge based on the examples and counter-examples in the collection box,is what the system predicts will be the user’s relevance judge-ment(example or counter-example)if the latter was asked to judge an image with feature-vector .We can model as a simple Bernoulli distri-bution(i.e.a binomial distribution with a single repetition)with success-probability,i.e.

Ber.The dependence of on the image-features is captured by equating the bino-mial success-probability to the relevance proba-bility introduced in section??.Hence,we get

Ber As a con-sequence,if then with a high probability and there is little uncertainty about the outcome.Similarly,if then

with a high probability.

Finally,we need to specify how the relevance-probability depends on the feature-values. Without loss of generality we can assume that this dependence takes the form of a logistic regression model:

(2) seems most suitable.Indeed,if relevance is pro-portional to the feature value,then a linear model will suf?ce.This is covered in this model by sim-ply putting.However,there obviously are situations where,for instance,only medium feature-values are acceptable,while extreme val-ues(both larger and smaller)are unacceptable. The quadratic model(with)is the simplest model that can handle this sort of qualitative dis-tinction.Determining the value for the parameters and is straightforward(see[?])using max-imum likelihood estimation,i.e.maximizing the

log-likelihood,where:

(3)

2.3.Automatic Feature Selection

In a realistic database-setting the number()of pre-computed numerical features for each image might be very large.However,most of the time only a small fraction of these features will be rel-evant for the particular search being executed at that time.Unfortunately,this subset will be dif-ferent for almost every new search and selecting which of these pre-computed features are most in-formative with regard to the user’s preferences,is key to achieving ef?ciency in retrieval.We will argue that one of the additional boons of the pro-posed approach is that regression comes with a set of diagnostic tools that allow the system to auto-matically quantify the goodness-of-?t of the pro-posed model and select the features accordingly. Indeed,if for a particular feature,the predic-tion of the?tted model(??)fails to square up with the relevance feedback from the user,this indicates that that particular feature does not contribute signi?cantly to the user’s perceptual appreciation. Conversely,if for a different feature,logistic regression yields a well-?tting model we can con-clude that the feature plays an important role in the user’s appreciation of the image,and we are well advised to bias the sampling-procedure as to favour feature-values that have high-value. That way,the fraction of relevant features in each new sample(as displayed on the sample display) will gradually increase.

The simplest way to measure the model’s per-formance is by looking at the value of the maxi-mum log-likelihood(??)that is achieved for each feature.Let denote this value for the-th fea-ture.It is easy to check that and that the deviance is a generalisation

of the sum of squared residuals.Hence,low(high) values for are indicative of good(poor)model-?t,or equivalently,high(low)predictive value for the feature.

This can immediately be put to good use in the computation of a global probability measure.In-deed,eq.(??)allows us to compute the probability for each individual feature.However,we need to combine the relevance-measures for different fea-tures into a global relevance probability for every image.A straightforward step is to assume inde-pendence of the different features so that the over-all probability can be obtained by multiplying all the individual contributions:

(4)

It is clear that in most cases,the assumption of in-dependence cannot be more than a convenient but rough?rst approximation.However,the structure of eq.(??)immediately suggests an interesting ex-tension in which the contribution of the different features are weighted relative to their importance:

(5) The weightfactors are determined automati-cally based on the deviance as .

From a practical point of view,automatic fea-ture selection(AFS),based on the weights, has the tremendous advantage that it relieves the database-designer from worrying which features to include in the database.Indeed,thanks to AFS it is advantageous to pre-compute as many and diverse features as possible,as irrelevant fea-tures will automatically be discarded by the AFS. This way the total feature-set will in all likeli-hood include for every conceivable query a(much smaller)subset—extracted by AFS—that cap-tures the search-objectives.

2.4.Extensions to Generalized Linear Models An additional advantage of the above regression models is that they can straightforwardly be ex-tended to accommodate more sophisticated feed-back https://www.doczj.com/doc/437877677.html,ck of space prevents us from go-ing into details,but the following examples illus-trate what we mean(a more detailed discussion can be found in[?]).For instance,once the num-ber of items in the collection-box exceeds certain thresholds,it becomes possible to?t genuinely more-dimensional models.Such models are able to capture interactions between various features. Furthermore,if there are more than two feedback categories(e.g.strongly positive,positive and neg-ative)then polytomous logistic regression will pro-vide an appropriate model.It is also possible to incorporate categorical features(e.g.keywords)in addition to the numerical ones.

In fact,all of the above extensions are members of the family of generalized linear models(GLIM,

cfr.[?])for which there exists a uni?ed estimation

theory.As a consequence,the principled approach to model?tting and automatic feature selection de-tailed above can be expanded to apply for these more general models.

3.RELATED WORK

There is a growing consensus among the CBIR-researchers that the use of both positive and negative feedback has distinct advantages over the use of positive examples alone.A number of recent papers report on the architecture of search-engines that are organised along these lines.Among these we mention the work done on non-parametric Bayesian density estimation in PicHunter(Cox et.al.[?])and the use of Support Vector Machines(Hong et.al.[?]).However,the methodology in these approaches is quite different from ours.We will restrict our discussion to two recent contributions that show some overlap with the work reported here.

Boosting individual features Thieu and Viola[?]?t a probabilistic model for each separate feature by introducing two1-dimensional Gaussian densi-ties to model the distribution of the examples and counter-examples respectively.They then measure the separation between these two densities(e.g. using the Fisher-distance)to quantify the predic-tive power of the feature under scrutiny and re-move it if necessary.However,compared to a lo-gistic regression model this approach has a number of drawbacks.

Firstly,modeling examples and counter-examples using two Gaussians only works well if these groups are well separated.However,if the examples cluster together and are?anked on both sides by counter-examples,then the estimated Gaussians might have very similar means.As a consequence,the feature will be rejected although it is in fact perfectly acceptable.Secondly,the fact that the two Gaussians are estimated inde-pendently makes the model vulnerable to outliers: the occurrence of a single example among the counter-examples(or vice versa)will in?ate the variance of the corresponding Gaussian,thereby seriously reducing the feature’s ef?cacy.Finally, extensions to higher dimensions become problem-atic,because a2-Gaussian model can certainly not handle a situation in which the counter-examples are distributed in a ring around a central cloud of examples.Multiple Instance Learning The growing body of work on multiple instance learning(MIL)(see [?])aims at tackling the problem of partial rele-vance.Collections of multiple instances(dubbed “bags”)are classi?ed as positive if they contain at least one positive instance,and negative oth-erwise.These instances play a role analogous to the features in CBIR-applications and the MIL-algorithm looks at each feature separately and tries to extract constraints on their values.Lifting these feature-wise constraints to the high-dimensional search space creates hyper-rectangles(APR:axis-parallel rectangles)within which the search is fo-cused.Ideally case these APR’s contain all the examples and none of the counter-examples,but this is exceptional.To handle the more realistic cases of ambiguous data,various cost-functions are introduced to penalize the inclusion of counter-examples(exclusion of examples,respectively). Although these“soft”versions of MIL are simi-lar in spirit to logistic regression,the underlying theoretical model lacks the mathematical simplic-ity and power of the latter.Furthermore,even soft-MIL is based on axis parallel rectangles(i.e.sep-arable models)and can therefore not match the ?exibility of the fully quadratic multi-dimensional regression models that are allowed within our ap-proach.

4.REFERENCES

[1]G Caenen and EJ Pauwels:Regression Models for

Relevance Feedback in CBIR.CWI Tech Report, June2001.

[2]IJ Cox,ML Miller,TP Minka,T Papathomas and

PN Yianilos:The Bayesian Image Retrieval Sys-tem,PicHunter.IEEE Trans.Image Processing, Vol.9(1),Jan2000.

[3]P Hong,Q Tian,T S Huang:Incorporate Sup-

port Vector Machines to Content-Based Image Re-trieval with Relevant Feedback.Proc ICIP2000, v.III,pp.750-753.

[4]O Maron:Learning from Ambiguity.MIT,PhD-

Thesis,1998.

[5]P McCullagh,JA Nelder:Generalized Linear Mod-

els.Chapman and Hall,1989.

[6]Kinh Thieu and Paul Viola,Boosting Image Re-

trieval,Proc.CPVR2000.

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高考英语语法复习 动词词义辨析

高考英语语法复习动词词义辨析 动词是是各类考试的重点,高考试题中,单项填空、完形填空和改错等三项题型中,动词辨义的比重较大,并逐年增加。动词辨义主要指:1、形状相同的动词之间辨义。如:lie, lay; hanged, hung; rise, raise; sit, seat等。2、意义相近的动词之间辨义。如:borrow, lend; speak, say, talk; hope, wish等。3、动词与其它词形相近、意义相似的词的辨义。如:advise, advice; cost, worth; pass, past 等。4、意义不同,但容易混淆的动词的辨义。如:explain, say; discover, invent, uncover; find, find out等。5、某些常用动词的习惯用法的辨义。如:ask, give, call, make, find, get, keep, want, see, hear等。6、某些常用动词短语的辨义。如:give in, give up, turn on, turn off, turn down, turn up等。 (一)易混动词 1 2、rise和raise:rise是不及物动词,其过去式是rose,过去分词是risen,而raise是及物动词,是规则动词。 3、hear与listen to:hear侧重点是听到,听见什么,而listen to是侧重于听的倾向,但hear用于无意中的听见,而listen to却用于集中注意力的听。 4、see, watch和look:see用作看电影,剧目;watch则用作看电视比赛,而watch还有在旁观看之意。如:Are you going to play or only watch?;look一般用作不及物动词,只是当盯着某人看时用作及物动词,如:The little boy looked me in the face.(小男孩直盯着我的脸。) 5、wind和wound:wind意为蜿蜒而行,其过去式与过去分词都是wound,而动词原形wound 意为伤害,其过去式、过去分词都是wounded。 6、hang的用法:hang有两个意思:一为悬挂,是不规则动词,过去式、过去分词都是hung;二为绞刑,是规则动词,其过去式、过去分词都是hanged。 7、hear的过去分词born与borne:bear作为出生讲有两个过去分词born,borne。只有当be+born…短语后没有by介词短语时,才可用born。如:He was born in Shanghai. 而作它用时要用borne。如:She has borne five children. 但如果作忍受讲,则一律用borne。 8、sit与seat:seat为及物动词时是作容纳讲,sit只是表示一动作。seat如果表示就座时要用be seated。如:They were seated at their desks. 或用seat oneself, 比如:I seated myself in the armchair. 9、borrow, lend与keep:借入英文中用borrow,借出用lend,但这两个词都是截止性动词或瞬间动词,不能用于长时间的动作,所以我能借多久应用keep。 10、win与beat:win作胜、赢讲时其后应接,a game, an argument, a battle, a prize, a contest, a race, a bet,但不能接人,如果接人则有另外的含意。如:I have won him. 即我已说服他了,我赢得他的好感。而beat是及物动词为击败、胜过讲,直接接人、队。 11、steal与rob:steal为偷。rob为抢,其用法不同。steal其后接物+from+某人、某地,而rob 其后接人+of+抢的物品。 12、fit与suit:fit与suit均可作合适讲,但英文中却用在不同的地方。如fit用于尺寸大小的合适,而suit则多用于颜色式样的合适。 13、take, bring 与fetch:英文中拿三个词,即拿来,拿去,去取然后回来(即双程)。所以拿来,带来是bring,拿去带走是take,而去取回来是fetch。 14、shut与close:shut与close有时是可以互换的,但有些地方则不可这样做。如:在正式场合多用close,而在命令,态度粗暴的场合则用shut。如:Shut your mouth!(闭嘴);又如:Shut up. 在指铁路、公路交通关闭或停止使用的场合,则要用close。 15、answer与reply:作为回答讲answer是及物动词,如作不及物动词,则意义不同,如answer for,意为向某人或向某事负责。而reply作回答讲是不及物动词,后跟宾语时,要加上to。

新版简明英语语言学 Chapter 6 pragmatics 语用学

Chapter 6 pragmatics 语用学 知识点: 1.*Definition: pragmatics; context 2.*sentence meaning vs utterance meaning 3.*Austin’s model of speech act theory 4.Searle’s classification of speech acts 5.*Grice’s Cooperative Principle 考核目标: 识记:*Definition: pragmatics; context 领会:Searle’s classification of speech acts 综合应用:sentence meaning vs utterance meaning;Austin’s model of speech act theory;Grice’s Cooperative Principle 一、定义 1. Pragmatics语用学: Pragmatics: the study of how speakers of a language use sentences to effect successful communication. Pragmatic can also be regarded as a kind of meaning study.语用学研究的是语言使用者是如何使用句子成功进行交际的。语用学也可以看作是一中意义研究。(它不是孤立地去研究语义,而是把语义置于使用语境中去研究的一门学科。) 2. Context 语境:The notion of context is essential to the pragmatic study of language, it’s generally considered as constituted by the knowledge shared by the speaker and the hearer. 语境这个概念对语言的语用研究来说是必不可少的。一般认为他是由言者和听者的共享知识所构成的。 二、知识点 6.1.2 pragmatics vs. semantics语用学与语义学 二十世纪初,Saussure’s Course in General Linguistics 一书的出版标志着现代语言学研究的开始,同时也为现代语言学奠定了基础调,即语言应该作为一个独立的,内在的系统来加以研究。 语用学和语义学既有相关性又有相异性。两者都是对意义的研究。传统语义学把语义看成是抽象的,内在的,是语言本身的特性,不受语境的影响。因此传统语义学只研究语义的内在特征,不把语义研究置于语境中来考察。语用学研究的是交际过程中语言意义的表达和理解。语用学家认为不把意义放在语境中来考虑就不可能对语义进行充分的描述,因此在研究语义时是否考虑语境便成了传统语义学和语用学的根本区别所在。 Semantics 和Pragmatics的区分 Pragmatics studies how meaning is conveyed in the process of communication. The basic difference between them is that pragmatics considers meaning in context, traditional semantics studies meaning in isolation from the context of use.

语用学对英语教学的作用(1)

2010年第2期(总第74期) 边疆经济与文化 THEBORDERECONOMYANDCULrllJRE No.2.20lO GeneralNo.74 【教育纵横】 语用学对英语教学的作用 于松 (哈尔滨师范大学西语学院,哈尔滨150080) 摘要:长期以来,中国英语教学都采取传统模式,教师在教学过程中过分注重学生词汇、语法以及句子分析的能力,造成了学生的满腹理论而不知如何应用的结果。语用学作为一门新兴学科,主要研究语言的应用并已被应用到众多领域。在英语教学中结合语用学的理论不但可以教会学生学会基本的语言知识,更可以促使其掌握语用知识,正确的使用英语这一交际工具。 关键词:语用学;语用学理论;英语教学;教学启示 中图分类号:G424.1文献标志码:A文章编号:1672-5409(2010)02-0156-02 一、引言 当代英语教学大都将英语视为一种语言知识进行传授,只注重孤立地对学生进行英语单词、语法、句法、翻译、写作等方面的教学,却忽视了对学生实际运用英语语言知识的能力的培养。通过以上教学,学生可以在应试中取得很好的成绩,然而在用语言进行交流时却不能很好的运用所学知识进行有效的交流。语言是交际的工具,语言各方面的知识是相互联系的整体,只有掌握了具体的语言形式所具有的功能并结合一定的语境,才能真正掌握和使用一门语言,因此在英语教学中不仅应重视对英语听说读写等基础知识的教学,更应注重语用方面的教学,这是本文研究的目的。 二、语用学对英语教学的作用 英语教学实际上是一个动态的过程。是学生通过书面阅读等方式进行信息交流、理解,并在理解的过程中增长知识、提高能力的过程。因此英语教师应充分认识到英语教学并不仅仅是教授语音、词汇、语法等语言基础知识,还应对语言环境、语言知识、文化背景等进行语用分析。在实际教学中不仅要明确提出提高学生语用能力的教学目标,在实际教学的各个环节中都要贯彻执行这一目标。 1.语用学对词汇教学的作用 传统英语词汇教学往往注重词汇本身的意义和语法意义,孤立地讲词义而不是将词汇放人具体语境去教词义,然而在不同的语境中同一个词也会有不同的意义。学生在学习过程中能很好的记住某一单词的各种意义,但到了实际应用时却一头雾水,常常出现语用错误。由于同一单词在不同语境中会有不同的意义,学生在阅读文本时只知道该词的基本意义,因此在理解文本时产生障碍,不能有效的进行认知。例如good一词,简单的定义为“好的”是不合适的,例如:“heisagoodboy”并不一定表示“他是个好男孩”。如果在前面加上“hehasstolen10,000bicycles.”则表示“他是个坏男孩。”此外,在词汇教学过程中,教师还应让学生注意到某些词汇用法的局限。 例如,conference一词简单的定义为会议,但它往往不能与我们较熟悉的meeting互换。原因是前者用法较正式通常指较大型的会议。后者指一般的、较小型的、常见的会议。例如我们在日常生活中常用“tIleteacheraskedMarytoattendthecIass.roommeetingat120’clock.”而不是用“theteach.eraskedMarytoattendtheclassroomconference.” 2.语用学与语法教学 语法教学在传统的英语教学中也同样采用孤立的教学方式。语法教学的常规模式通常是教师以一本语法书为基础,在课堂上尽可能多的向学生罗列语法知识,而学生在课堂上主要的任务就是不停地记笔记,课后花费大力气记住老师所讲的语法要点。这种教学方法的后果往往是学生有着很好的理论基础,可是实际应用时却错误百出。另一种结果是学生为了应付考试进行大量的练习,考试时能够取得不错的成绩,可考完试后所学的语法知识便忘在脑后。教授语法知识的目的是为了让学生掌握语用能力,掌握语法知识和句型是正确运用英语的前提,但有了这一前提并不代表有了语用能力,如果把语法教学与语用知识结合起来无疑会收到更好的 收稿日期:2009-09.15 作者简介:于松(1985一),女,黑龙江尚志人,硕士研究生,从事外国语言学及应用语言学研究。围删一舢Jw哪蝴 万方数据

英语常用同义词辨析 h

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高三英语词义辨析和练习

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空气。 生义:v 公开发表(看法) 例句:Staff will get a chance to ask questions and air their views. 员工将有机会提问并发表意见。 business 熟义:n 商业;买卖;生意 例句:She works in the computer business. 她从事电脑业。生义:n 职责 例句:It is the business of the police to protect the community. 警察的职责是保护社会。 coin 熟义:n 硬币 例句:a ten-cent coin 面值十分的硬币 生义:v 创造(新词语) 例句:Jaron Lanier coined the term “virtual reality”and pioneered its early development. 加隆·雷尼尔首创“虚拟现实”一词,并率先进行早期开发。 collect 熟义:v 收集;收藏

英语语用学-名词解释

1.Pragmatics is the study of language in use. Pragmatics is concerned with the study of meaning as communicated by a speaker (or writer) and interpreted by a listener (or reader). Pragmatics is the study of speaker meaning Pragmatics is the study of contextual meaning Pragmatics is the study of the expression of relative distance. Pragmatics is the study of the relationships between linguistic forms and the users of those forms. 2.Syntax is the study of the relationships between linguistic forms, how they are arranged in sequence, and which sequences are well-formed. 3.Semantics is the study of the relationships between linguistic forms and entities in the world; that is, how words literally connect to things. 4.Deixis 指示语is a technical term (from Greek) for one of the most basic things we do with utterances. It means ‘pointing’ via language.Any linguistic form used to accomplish this ‘pointing’ is called a deictic expression. Deictic expressions are also sometimes called indexicals. They are among the first forms to be spoken by very young children and can be used to indicate people via person deixis(such as, ‘me’, ‘you’), or location via spatial deixis(such as ‘here’, ‘there’), or time via temporal deixi s (such as ‘now’, ‘then’). 5.Proximal terms近指are typically interpreted in terms of the speaker’s location, or the deictic center指示中心.‘this’, ‘there’, ‘now’, ‘then’near speaker 6.Distal terms远指can simply indicate ‘away’ from speaker’, but, in some languages, can be used to distinguish between ‘near addres see’ and ‘away from both speaker and addressee’. 7.Person deixis人称指示语clearly operates on a basic three-part division, exemplified例证by the pronouns for first person, second person, and third person./ forms used to point to people, “me””you” 8.Expressions which indicate addressee higher status are described as honorifics敬语. 9.The discussion of the circumstances which lead to the choice of one of these forms rather than another is sometimes described as social deixis./forms used to indicate relative social status 10.A distinction between forms used for familiar versus a non-familiar addressee in some languages. This is known as the T/V distinction. 用复数形态来表示单数敬语,在语言中叫T-V distinction。此概念由1960 年的学者Brown 和Gilman 提出,他们将第二人称单数分为两种形态:T 形态(T-form)和V 形态(V-form),前者在非正式场合、尊称呼卑、关系亲密的人之间使用,后者在正式场合、下级称呼上级、称呼陌生人的时候使用 11.exclusive ‘we’ (speaker plus other(s), excluding addressee); inclusive ‘we’ (speaker and addressee included). 12.spatial deixis空间指示语- the relative location of people and things is being indicated. Eg, here, there/ forms used to point to location. 13.‘Yonder’那边(more distant from speaker) ‘hither’这边(to this place) ‘thence’从那里(from that place) 14.deictic projection指示投射manipulate speaker’s location eg: I am not here now./speakers acting as if they are somewhere else. 15.psychological distance心理距离I don’t like that. it is ‘invested’ with meaning in a context by a speaker./speaker’s marking of how close or distant something is perceived感知to be. 16.temporal deixis时间指示Back in an hour. the coming week./ forms used to point to location in time 17.It is clear that the present tense is the proximal form近端形式and the past tense is the distal form远端形式. if-clauses 18.In temporal deixis, the remote or distal form can be used to communicate not only distant from current time, but also distant from current reality or facts. 19.Discourse deixis/ textual deixis语篇指示语“the use of expressions within some utterance to refer to some portion 部分of the discourse that contains that utterance (i ncluding the utterance itself)”This is what he did to me. He ripped 撕扯my shirt and hit me on the nose

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