This is a pedagogical review on TT^(-)deformation of two dimensional quantum field theories.It is based on three lectures which the author gave at ITP-CAS in December 2018.This review consists of four parts.The first ...This is a pedagogical review on TT^(-)deformation of two dimensional quantum field theories.It is based on three lectures which the author gave at ITP-CAS in December 2018.This review consists of four parts.The first part is a general introduction to TT^(-)deformation.Special emphasises are put on the deformed classical Lagrangian and the exact solvability of the spectrum.The second part focuses on the torus partition sum of the TT^(-)/JT^(-)deformed conformal field theories and modular invariance/covariance.In the third part,different perspectives of TT^(-)deformation are presented,including its relation to random geometry,2D topological gravity and holography.We summarize more recent developments until January 2021 in the last part.展开更多
Rank reversals appearing in AHP are discussed. It is proved with examples that they are in certain degree universal in the process of decision making. The mechanism of rank reversal is expounded. It is believed that...Rank reversals appearing in AHP are discussed. It is proved with examples that they are in certain degree universal in the process of decision making. The mechanism of rank reversal is expounded. It is believed that rank reversal can not deny the reasonableness of AHP and the axioms of independences of irrelevant alternatives.展开更多
This paper proposed a novel feature selection method LUIFS （ latent utility of irrelevant feature selection） that not only selects the relevant features, but also targets at discovering the latent useful irrelevant ...This paper proposed a novel feature selection method LUIFS （ latent utility of irrelevant feature selection） that not only selects the relevant features, but also targets at discovering the latent useful irrelevant attributes by measuring their supportive importance to other attributes. The method minimizes the information lost and simultaneously maximizes the final classification accuracy. The classification error rates of the LUIFS method on 16 real-life datasets from UCI machine learning repository were evaluated using the ID3, Na^ve-Bayes, and IB （instance-based classifier） learning algorithms, respectively; and compared with those of the same algorithms with no feature selection （NoFS）, feature subset selection （FSS）, and correlation-based feature selection （CFS）. The empirical results demonstrate that the LUIFS can improve the performance of learning algorithms by taking the latent relevance for irrelevant attributes into consideration, and hence including those potentially important attributes into the optimal feature subset for classification.展开更多
The conception of truth-making,albeit in a rudimentary form,could already be discerned in the writings of G.E.Moore and E.Husserl in the early 1900s.A few years later it was more extensively exploited by William James...The conception of truth-making,albeit in a rudimentary form,could already be discerned in the writings of G.E.Moore and E.Husserl in the early 1900s.A few years later it was more extensively exploited by William James.It was Wittgenstein,however,who gave the concept a precise meaning.In 1913/1914 Wittgenstein advanced a theory of possible worlds,only one of which was real.Every proposition suggests a part of a possible world which does or does not correspond to parts of the real world.In the first case the proposition is true,in the second case false.Moreover,the part of the real world makes the sentence true.This part is a truth-maker,and the sentence is a truth-bearer.Surprisingly enough,Wittgenstein’s concept of truth-making had its family resemblance with William James’s conception of truth.In 1915 Wittgenstein stopped using the concept of truth-making-it was also not mentioned in the Tractatus.Unfortunately,Russell did not notice this and in 1918 he adopted the concept of truth-making.In the 1930s,it was used by some second generation analytic philosophers(Schlick,Stebbing,and Wisdom).However,it became rather popular among analytic philosophers only in the 1980s.展开更多
基金It is a pleasure to thank Ofer Aharony,Shouvik Datta,Amit Giveon and David Kutasov for collaborations on the relevant projects that lead to this review.I thank Gang Yang for kind invitation and hospitality at ITP-CAS.Tm also indebted to Luis Apolo,Wei Li,Pujian Mao,Wei Song,Junbao Wu and Gang Yang for various helpful discussions.Many thanks to Alex Belin,Shouvik Datta,Amit Giveon,Madalena Lemos,Kostas Siampos,Wei Song,Roberto Tateo,Junbao Wu and Gang Yang for valuable feedbacks.
文摘This is a pedagogical review on TT^(-)deformation of two dimensional quantum field theories.It is based on three lectures which the author gave at ITP-CAS in December 2018.This review consists of four parts.The first part is a general introduction to TT^(-)deformation.Special emphasises are put on the deformed classical Lagrangian and the exact solvability of the spectrum.The second part focuses on the torus partition sum of the TT^(-)/JT^(-)deformed conformal field theories and modular invariance/covariance.In the third part,different perspectives of TT^(-)deformation are presented,including its relation to random geometry,2D topological gravity and holography.We summarize more recent developments until January 2021 in the last part.
文摘Rank reversals appearing in AHP are discussed. It is proved with examples that they are in certain degree universal in the process of decision making. The mechanism of rank reversal is expounded. It is believed that rank reversal can not deny the reasonableness of AHP and the axioms of independences of irrelevant alternatives.
基金The Science and Technology Development Fund from Macao Government (No007/2006/A)
文摘This paper proposed a novel feature selection method LUIFS （ latent utility of irrelevant feature selection） that not only selects the relevant features, but also targets at discovering the latent useful irrelevant attributes by measuring their supportive importance to other attributes. The method minimizes the information lost and simultaneously maximizes the final classification accuracy. The classification error rates of the LUIFS method on 16 real-life datasets from UCI machine learning repository were evaluated using the ID3, Na^ve-Bayes, and IB （instance-based classifier） learning algorithms, respectively; and compared with those of the same algorithms with no feature selection （NoFS）, feature subset selection （FSS）, and correlation-based feature selection （CFS）. The empirical results demonstrate that the LUIFS can improve the performance of learning algorithms by taking the latent relevance for irrelevant attributes into consideration, and hence including those potentially important attributes into the optimal feature subset for classification.
文摘The conception of truth-making,albeit in a rudimentary form,could already be discerned in the writings of G.E.Moore and E.Husserl in the early 1900s.A few years later it was more extensively exploited by William James.It was Wittgenstein,however,who gave the concept a precise meaning.In 1913/1914 Wittgenstein advanced a theory of possible worlds,only one of which was real.Every proposition suggests a part of a possible world which does or does not correspond to parts of the real world.In the first case the proposition is true,in the second case false.Moreover,the part of the real world makes the sentence true.This part is a truth-maker,and the sentence is a truth-bearer.Surprisingly enough,Wittgenstein’s concept of truth-making had its family resemblance with William James’s conception of truth.In 1915 Wittgenstein stopped using the concept of truth-making-it was also not mentioned in the Tractatus.Unfortunately,Russell did not notice this and in 1918 he adopted the concept of truth-making.In the 1930s,it was used by some second generation analytic philosophers(Schlick,Stebbing,and Wisdom).However,it became rather popular among analytic philosophers only in the 1980s.
