Background Autism spectrum disorder(ASD)is a pervasive developmental disorder characterized by difficulties in social communication and restricted,repetitive behaviors.Early intervention is essential to improve develo...Background Autism spectrum disorder(ASD)is a pervasive developmental disorder characterized by difficulties in social communication and restricted,repetitive behaviors.Early intervention is essential to improve developmental outcomes in children with ASD.Serious games,which combine educational objectives with game based interactions,have shown potential as tools for early intervention in patients with ASD.However,in China,the development of serious games specifically designed for children with ASD remains in its infancy,with significant gaps in technical frameworks and effective data management methods.Method This paper proposes a framework aimed at facilitating the development of multimodal serious games designed for ASD interventions.We demonstrated the feasibility of the framework by developing and integrating several components,such as web applications,mobile games,and augmented reality games.These tools are interconnected to achieve data connectivity and management.Additionally,adaptive mechanics were employed within the framework to analyze real-time player data,which allowed the game difficulty to be dynamically adjusted and provide a personalized experience for each child.Results The framework successfully integrated various multimodal games,ensuring that real-time data management supported personalized game experiences.This approach ensured that the interventions remained appropriately challenging while still achievable.Conclusion The results indicate that the proposed framework enhances collaboration among therapists,parents,and developers while also improving the effectiveness of ASD interventions.By delivering personalized gameplay experiences that are both challenging and achievable,the framework offers a scalable platform for the future development of serious games.展开更多
In this paper,we investigate the distributed Nash equilibrium(NE)seeking problem for aggregative games with multiple uncertain Euler–Lagrange(EL)systems over jointly connected and weight-balanced switching networks.T...In this paper,we investigate the distributed Nash equilibrium(NE)seeking problem for aggregative games with multiple uncertain Euler–Lagrange(EL)systems over jointly connected and weight-balanced switching networks.The designed distributed controller consists of two parts:a dynamic average consensus part that asymptotically reproduces the unknown NE,and an adaptive reference-tracking module responsible for steering EL systems’positions to track a desired trajectory.The generalized Barbalat’s Lemma is used to overcome the discontinuity of the closed-loop system caused by the switching networks.The proposed algorithm is illustrated by a sensor network deployment problem.展开更多
成果名称:Shapley's Conjecture on the Cores of Abstract Market Games主要作者:曹志刚,秦承忠,杨晓光奖项类别:著作论文奖获奖等级:二等奖获奖论文《Shapley's Conjecture on the Cores of Abstract Market Games》发表于博...成果名称:Shapley's Conjecture on the Cores of Abstract Market Games主要作者:曹志刚,秦承忠,杨晓光奖项类别:著作论文奖获奖等级:二等奖获奖论文《Shapley's Conjecture on the Cores of Abstract Market Games》发表于博弈论领域顶级期刊《Games and Economic Behavior》2018年第2期。论文研究成果初步解决了诺贝尔经济学奖获得者罗伊德·沙普利(Lloyd S. Shapley)提出的抽象市场博弈核非空的猜想。展开更多
The two-player nonzero-sum linear-exponential-quadratic stochastic differential game is studied.The game takes into account the players'attitudes to risk.The nonlinear transformations and change of probability mea...The two-player nonzero-sum linear-exponential-quadratic stochastic differential game is studied.The game takes into account the players'attitudes to risk.The nonlinear transformations and change of probability measure techniques are used to study the existence of both open-loop and closed-loop Nash equilibria for the game.Some examples are constructed to illustrate their differences.Furthermore,theoretical results are applied to solve the risk-sensitive portfolio game problem in the financial market and show the effects of risk attitudes and economic performance on equilibria.展开更多
The 9th Asian Winter Games were successfully held in Harbin,Heilongjiang Province,China,from February 7 to February 14,2025.This exciting event brought together athletes from all over Asia.They showed their great skil...The 9th Asian Winter Games were successfully held in Harbin,Heilongjiang Province,China,from February 7 to February 14,2025.This exciting event brought together athletes from all over Asia.They showed their great skills and strong will in different kinds of winter sports,such as skiing,skating and ice hockey.展开更多
I was so excited to be a volunteer for the 2025 Asian Winter Games.It was a wonderful chance to meet people from all over Asia.During the Games,I helped players find their way around the stadium.I also answered questi...I was so excited to be a volunteer for the 2025 Asian Winter Games.It was a wonderful chance to meet people from all over Asia.During the Games,I helped players find their way around the stadium.I also answered questions from visitors.Everyone was friendly,and I felt happy to help them.展开更多
This study introduces a novel bargaining solution termed the"'min-distance bargaining solution"and applies it to a differential games model.A comprehensive algorithm for implementing this new solution is...This study introduces a novel bargaining solution termed the"'min-distance bargaining solution"and applies it to a differential games model.A comprehensive algorithm for implementing this new solution is presented,considering its time consistency within the differential games framework.Realistic scenarios are carefully analyzed to derive insightful findings regarding the mindistance solution,which are further validated through simulations using the resource extraction differential games model.Specifically,we examine scenarios such as managing a finite resource stock in the resource extraction game.Furthermore,a comparative analysis is conducted,pitting the mindistance bargaining solution against well-established alternatives such as Nash bargaining,Kalai-Smorodinsky,and Egalitarian solutions.By subjecting these solutions to numerical evaluations,the study offers valuable insights into decision-making processes.The findings not only contribute to negotiation theory by providing theoretical support but also have practical implications for decision-makers seeking effective strategies.This research significantly advances the field of negotiation theory,particularly in the context of differential games.The proposed min-distance bargaining solution demonstrates its applicability to real-world scenarios and enhances our understanding of strategic decision-making.展开更多
This article focuses on the economic dividends of Heilongjiang Province hosting the 9th Asian Winter Games(2025),centered on the ice and snow economy’s high-quality development.Leveraging unique ice and snow resource...This article focuses on the economic dividends of Heilongjiang Province hosting the 9th Asian Winter Games(2025),centered on the ice and snow economy’s high-quality development.Leveraging unique ice and snow resources,Heilongjiang built a“sports events+full industrial chain”model,driving ice and snow tourism upgrading,equipment technology breakthroughs,and cultural brand internationalization.The event optimized the industrial structure by upgrading traditional industries,fostering emerging sectors,and advancing modern services.It also spurred infrastructure leapfrogs(transportation,smart cities,ecology),improved livelihoods(employment,income,public services),and boosted innovation(technology R&D,digital integration,opening-up).Looking ahead,Heilongjiang will use the event’s long-term effects to build a ice and snow-led modern industrial system for high-quality development.展开更多
The concept of equivalence,which expresses the relations between the source text and the target text in the translation process,can be defined as finding the closest equivalent of the source text in the target text.In...The concept of equivalence,which expresses the relations between the source text and the target text in the translation process,can be defined as finding the closest equivalent of the source text in the target text.In order for the translated text to have the same taste in the target language,the equivalence between the two languages should be good.Many novels have been translated from English to Arabic.This translation was translated from English to Arabic.Jane Eyre is in the Victorian England.The novel is about love between two people of different classes,underlining the pressures,class distinction,male domination in society.Jane Eyre,who was one of the first novels about women’s freedom and rights,is also one of the most important works of romanticism.The author was inspired by his own life.In this study,language plays in Arabic translation of famous novelist Charlotte Bronte’s Jane Eyre were examined in terms of equivalence.In addition to semantic,syntactic,linguistic,and stylistic dimensions,translation of language games such as proverb,idiom,metaphor,personification,and comparison,which are the main material of a decorated language,is emphasized and their equivalence is interpreted in the light of the theories of translation.The analysis of the selected sample sentences from the novel within the context of translation criticism shows that the translator preserves the form and content of the source text in a significant way and provides a translation equivalent to the original in terms of linguistic,syntactic,and semantic.The Arabic reader seems to be able to understand the language games in English in a similar way in their own language.展开更多
The international dissemination of culture is an inevitable trajectory of national development and a direct reflection of soft power enhancement.As a core sector of the digital cultural industry,the global expansion o...The international dissemination of culture is an inevitable trajectory of national development and a direct reflection of soft power enhancement.As a core sector of the digital cultural industry,the global expansion of Chinese games has become both a symbolic vehicle of China’s“going global”strategy and an important medium for cultural communication.The rapid rise of China’s online gaming industry demonstrates the growing strength of national soft power.In recent years,Chinese games have achieved notable success in overseas markets,marked by broader global presence,continuous technological innovation,and deeper industrial collaboration.With strong policy support,the industry has advanced from its initial emergence to a stage where quantitative growth is increasingly accompanied by qualitative improvement.This transformation not only elevates the industry to a new developmental phase but also positions Chinese games as a vital conduit for cross-cultural exchange and international engagement.展开更多
Digital publishing,as a vital medium of cultural communication in the digital age,is gradually becoming a significant force in promoting China’s fine traditional culture going global and facilitating the internationa...Digital publishing,as a vital medium of cultural communication in the digital age,is gradually becoming a significant force in promoting China’s fine traditional culture going global and facilitating the internationalization of Chinese industries.This paper takes Black Myth:Wukong as a case study to explore the role of digital game publishing in enhancing cultural empowerment,driving innovative communication,and promoting industrial collaboration.As an emerging force in the publishing industry,digital games have invigorated the momentum of Chinese culture going global through marketing and distribution,community operations,and content production,fostering the creative transformation and innovative development of cultural publishing.Through interactive narratives,diverse communication matrices,and industrial chain collaboration,digital game publishing not only facilitates deeper cultural exchange but also promotes the collaborative global development of related industries,including cultural tourism and technology.Digital game publishing has opened up new pathways for the global communication of Chinese culture and driven Chinese industries onto the international stage through technological innovation and cultural collaboration.This demonstrates its strategic value and development potential amid the wave of digitalization and globalization.展开更多
Potential games(PG)have attracted the attention of many researchers because of its excellent properties and multi-PG are more flexible and extensible,which greatly improve the application range of PG.Consider that wei...Potential games(PG)have attracted the attention of many researchers because of its excellent properties and multi-PG are more flexible and extensible,which greatly improve the application range of PG.Consider that weights and states to each player are common and practical in many application scenarios,and in this paper,by introducing weight value and state into multi-PG,q-weighted PG and q-state PG are systematically discussed and analyzed to expand the types of PG,respectively.First,using semi-tensor product of matrices(STP),a matrix approach to the modeling of weighted PG is investigated,and the verification method of weighted PG is proposed by defining three matrices,and the problem of how to detect weighted PG can be transformed to solve an algebraic equation,which is composed of the above three matrices.Next,by bringing weight values into multi-PG and detecting the weighted PG for each group,the verification method is extended to the q-weighted PG.Second,the model of state-based PG is constructed,and the problem of how to detect state-based PG can be transformed to solve another algebraic equation,which is seen as an extension of the verification method of weighted PG.Subsequently,the verification of q-state PG is discussed.Finally,we use two examples to demonstrate the validation of obtained results.展开更多
Children’s sports games in southwestern China have a unique regional cultural foundation and carry the historical memories,values,and lifestyles of the local ethnic groups.However,due to rapid social development,the ...Children’s sports games in southwestern China have a unique regional cultural foundation and carry the historical memories,values,and lifestyles of the local ethnic groups.However,due to rapid social development,the social spaces in southwestern China have undergone profound changes,which have significantly impacted the inheritance of children’s sports games in this region.This study employs research methods such as literature review and logical analysis,based on the production of space theory,to delve into the evolution and origins of the inheritance space of the children’s sports games in southwestern China and to explore pathways for their inheritance and development.Research shows that the evolution of the socio-cultural space has led to changes in the primitive customs of southwestern China;the evolution of the socio-economic space has caused the evolution of traditional production methods.This suggests that modern sports games should be reorganized and harmonized to drive openness in the production of cultural space;stress should be laid on improving safeguards for the cultural inheritance policies to facilitate institutionalization in the production of cultural space;the focus should be placed on the integration of digital technology into the culture to promote innovation in the production of cultural space;and the industrial development of traditional culture should be enhanced to achieve a comprehensive approach to the production of cultural space as well as to promote the expansion of research perspectives and paradigms in regard to China’s traditional cultural spaces.展开更多
With the expansion of the female player base and the increase in their purchasing power,the female-oriented game market has gradually risen.This paper employs the Uses and Gratifications Theory as a framework,using th...With the expansion of the female player base and the increase in their purchasing power,the female-oriented game market has gradually risen.This paper employs the Uses and Gratifications Theory as a framework,using the successful case of Love and Deep Space to explore how female players satisfy their specific social and psychological needs through gaming.The study finds that female-oriented games effectively meet the diverse needs of female players in terms of content design,interactive experiences,and community building,further promoting the prosperity and development of the female-oriented game market.展开更多
The Stackelberg prediction game(SPG)is a bilevel optimization frame-work for modeling strategic interactions between a learner and a follower.Existing meth-ods for solving this problem with general loss functions are ...The Stackelberg prediction game(SPG)is a bilevel optimization frame-work for modeling strategic interactions between a learner and a follower.Existing meth-ods for solving this problem with general loss functions are computationally expensive and scarce.We propose a novel hyper-gradient type method with a warm-start strategy to address this challenge.Particularly,we first use a Taylor expansion-based approach to obtain a good initial point.Then we apply a hyper-gradient descent method with an ex-plicit approximate hyper-gradient.We establish the convergence results of our algorithm theoretically.Furthermore,when the follower employs the least squares loss function,our method is shown to reach an e-stationary point by solving quadratic subproblems.Numerical experiments show our algorithms are empirically orders of magnitude faster than the state-of-the-art.展开更多
基金Supported by the Public Welfare Technology Application Research Project of Zhejiang Province(No.LTGY23F020001)the Provincial Construction Programme for First-Class Online and Offline Blended Courses(No.Z202Y22513)the Higher Education Teaching Reform Research Programme of Communication University of Zhejiang“Research on Contextualized Teaching Mode for the New Generation of Engineering Students Based on Convergence Media”。
文摘Background Autism spectrum disorder(ASD)is a pervasive developmental disorder characterized by difficulties in social communication and restricted,repetitive behaviors.Early intervention is essential to improve developmental outcomes in children with ASD.Serious games,which combine educational objectives with game based interactions,have shown potential as tools for early intervention in patients with ASD.However,in China,the development of serious games specifically designed for children with ASD remains in its infancy,with significant gaps in technical frameworks and effective data management methods.Method This paper proposes a framework aimed at facilitating the development of multimodal serious games designed for ASD interventions.We demonstrated the feasibility of the framework by developing and integrating several components,such as web applications,mobile games,and augmented reality games.These tools are interconnected to achieve data connectivity and management.Additionally,adaptive mechanics were employed within the framework to analyze real-time player data,which allowed the game difficulty to be dynamically adjusted and provide a personalized experience for each child.Results The framework successfully integrated various multimodal games,ensuring that real-time data management supported personalized game experiences.This approach ensured that the interventions remained appropriately challenging while still achievable.Conclusion The results indicate that the proposed framework enhances collaboration among therapists,parents,and developers while also improving the effectiveness of ASD interventions.By delivering personalized gameplay experiences that are both challenging and achievable,the framework offers a scalable platform for the future development of serious games.
基金supported by the Research Grants Council of the Hong Kong Special Administration Region under the Grant No.14201621。
文摘In this paper,we investigate the distributed Nash equilibrium(NE)seeking problem for aggregative games with multiple uncertain Euler–Lagrange(EL)systems over jointly connected and weight-balanced switching networks.The designed distributed controller consists of two parts:a dynamic average consensus part that asymptotically reproduces the unknown NE,and an adaptive reference-tracking module responsible for steering EL systems’positions to track a desired trajectory.The generalized Barbalat’s Lemma is used to overcome the discontinuity of the closed-loop system caused by the switching networks.The proposed algorithm is illustrated by a sensor network deployment problem.
文摘成果名称:Shapley's Conjecture on the Cores of Abstract Market Games主要作者:曹志刚,秦承忠,杨晓光奖项类别:著作论文奖获奖等级:二等奖获奖论文《Shapley's Conjecture on the Cores of Abstract Market Games》发表于博弈论领域顶级期刊《Games and Economic Behavior》2018年第2期。论文研究成果初步解决了诺贝尔经济学奖获得者罗伊德·沙普利(Lloyd S. Shapley)提出的抽象市场博弈核非空的猜想。
文摘The two-player nonzero-sum linear-exponential-quadratic stochastic differential game is studied.The game takes into account the players'attitudes to risk.The nonlinear transformations and change of probability measure techniques are used to study the existence of both open-loop and closed-loop Nash equilibria for the game.Some examples are constructed to illustrate their differences.Furthermore,theoretical results are applied to solve the risk-sensitive portfolio game problem in the financial market and show the effects of risk attitudes and economic performance on equilibria.
文摘The 9th Asian Winter Games were successfully held in Harbin,Heilongjiang Province,China,from February 7 to February 14,2025.This exciting event brought together athletes from all over Asia.They showed their great skills and strong will in different kinds of winter sports,such as skiing,skating and ice hockey.
文摘I was so excited to be a volunteer for the 2025 Asian Winter Games.It was a wonderful chance to meet people from all over Asia.During the Games,I helped players find their way around the stadium.I also answered questions from visitors.Everyone was friendly,and I felt happy to help them.
文摘This study introduces a novel bargaining solution termed the"'min-distance bargaining solution"and applies it to a differential games model.A comprehensive algorithm for implementing this new solution is presented,considering its time consistency within the differential games framework.Realistic scenarios are carefully analyzed to derive insightful findings regarding the mindistance solution,which are further validated through simulations using the resource extraction differential games model.Specifically,we examine scenarios such as managing a finite resource stock in the resource extraction game.Furthermore,a comparative analysis is conducted,pitting the mindistance bargaining solution against well-established alternatives such as Nash bargaining,Kalai-Smorodinsky,and Egalitarian solutions.By subjecting these solutions to numerical evaluations,the study offers valuable insights into decision-making processes.The findings not only contribute to negotiation theory by providing theoretical support but also have practical implications for decision-makers seeking effective strategies.This research significantly advances the field of negotiation theory,particularly in the context of differential games.The proposed min-distance bargaining solution demonstrates its applicability to real-world scenarios and enhances our understanding of strategic decision-making.
文摘This article focuses on the economic dividends of Heilongjiang Province hosting the 9th Asian Winter Games(2025),centered on the ice and snow economy’s high-quality development.Leveraging unique ice and snow resources,Heilongjiang built a“sports events+full industrial chain”model,driving ice and snow tourism upgrading,equipment technology breakthroughs,and cultural brand internationalization.The event optimized the industrial structure by upgrading traditional industries,fostering emerging sectors,and advancing modern services.It also spurred infrastructure leapfrogs(transportation,smart cities,ecology),improved livelihoods(employment,income,public services),and boosted innovation(technology R&D,digital integration,opening-up).Looking ahead,Heilongjiang will use the event’s long-term effects to build a ice and snow-led modern industrial system for high-quality development.
文摘The concept of equivalence,which expresses the relations between the source text and the target text in the translation process,can be defined as finding the closest equivalent of the source text in the target text.In order for the translated text to have the same taste in the target language,the equivalence between the two languages should be good.Many novels have been translated from English to Arabic.This translation was translated from English to Arabic.Jane Eyre is in the Victorian England.The novel is about love between two people of different classes,underlining the pressures,class distinction,male domination in society.Jane Eyre,who was one of the first novels about women’s freedom and rights,is also one of the most important works of romanticism.The author was inspired by his own life.In this study,language plays in Arabic translation of famous novelist Charlotte Bronte’s Jane Eyre were examined in terms of equivalence.In addition to semantic,syntactic,linguistic,and stylistic dimensions,translation of language games such as proverb,idiom,metaphor,personification,and comparison,which are the main material of a decorated language,is emphasized and their equivalence is interpreted in the light of the theories of translation.The analysis of the selected sample sentences from the novel within the context of translation criticism shows that the translator preserves the form and content of the source text in a significant way and provides a translation equivalent to the original in terms of linguistic,syntactic,and semantic.The Arabic reader seems to be able to understand the language games in English in a similar way in their own language.
基金funded by 2022 Chinese Fund for the Humanities and Social Science(22WZSB029)2023“Training and Development Program for Young Teachers in Shanghai Universities”of the Shanghai Municipal Education Commission:An Exploration of Ideological and Political Education in Multimodal Translation Courses during the Transition PeriodFudan University’s First Series of“Seven Premium Textbook Projects”:Embodied-Cognitive Interpreting Studies.
文摘The international dissemination of culture is an inevitable trajectory of national development and a direct reflection of soft power enhancement.As a core sector of the digital cultural industry,the global expansion of Chinese games has become both a symbolic vehicle of China’s“going global”strategy and an important medium for cultural communication.The rapid rise of China’s online gaming industry demonstrates the growing strength of national soft power.In recent years,Chinese games have achieved notable success in overseas markets,marked by broader global presence,continuous technological innovation,and deeper industrial collaboration.With strong policy support,the industry has advanced from its initial emergence to a stage where quantitative growth is increasingly accompanied by qualitative improvement.This transformation not only elevates the industry to a new developmental phase but also positions Chinese games as a vital conduit for cross-cultural exchange and international engagement.
文摘Digital publishing,as a vital medium of cultural communication in the digital age,is gradually becoming a significant force in promoting China’s fine traditional culture going global and facilitating the internationalization of Chinese industries.This paper takes Black Myth:Wukong as a case study to explore the role of digital game publishing in enhancing cultural empowerment,driving innovative communication,and promoting industrial collaboration.As an emerging force in the publishing industry,digital games have invigorated the momentum of Chinese culture going global through marketing and distribution,community operations,and content production,fostering the creative transformation and innovative development of cultural publishing.Through interactive narratives,diverse communication matrices,and industrial chain collaboration,digital game publishing not only facilitates deeper cultural exchange but also promotes the collaborative global development of related industries,including cultural tourism and technology.Digital game publishing has opened up new pathways for the global communication of Chinese culture and driven Chinese industries onto the international stage through technological innovation and cultural collaboration.This demonstrates its strategic value and development potential amid the wave of digitalization and globalization.
基金supported by the National Natural Science Foundation of China Grant No.62203328.
文摘Potential games(PG)have attracted the attention of many researchers because of its excellent properties and multi-PG are more flexible and extensible,which greatly improve the application range of PG.Consider that weights and states to each player are common and practical in many application scenarios,and in this paper,by introducing weight value and state into multi-PG,q-weighted PG and q-state PG are systematically discussed and analyzed to expand the types of PG,respectively.First,using semi-tensor product of matrices(STP),a matrix approach to the modeling of weighted PG is investigated,and the verification method of weighted PG is proposed by defining three matrices,and the problem of how to detect weighted PG can be transformed to solve an algebraic equation,which is composed of the above three matrices.Next,by bringing weight values into multi-PG and detecting the weighted PG for each group,the verification method is extended to the q-weighted PG.Second,the model of state-based PG is constructed,and the problem of how to detect state-based PG can be transformed to solve another algebraic equation,which is seen as an extension of the verification method of weighted PG.Subsequently,the verification of q-state PG is discussed.Finally,we use two examples to demonstrate the validation of obtained results.
基金funded by the 2023 Chongqing Social Sciences Planning Project“Research on the Sports Culture Ecosystem of Minority Ethnic Groups in the Bayu Region Based on Field Investigation(23NDNQ43)”the 2024 Project of the Sichuan-Yunnan Research Center for Ethnic Cultural Development“Research on the Creative Transformation and Innovative Development of Ethnic Sports Culture in Sichuan and Yunnan for the New Era(2024CDYB001).”。
文摘Children’s sports games in southwestern China have a unique regional cultural foundation and carry the historical memories,values,and lifestyles of the local ethnic groups.However,due to rapid social development,the social spaces in southwestern China have undergone profound changes,which have significantly impacted the inheritance of children’s sports games in this region.This study employs research methods such as literature review and logical analysis,based on the production of space theory,to delve into the evolution and origins of the inheritance space of the children’s sports games in southwestern China and to explore pathways for their inheritance and development.Research shows that the evolution of the socio-cultural space has led to changes in the primitive customs of southwestern China;the evolution of the socio-economic space has caused the evolution of traditional production methods.This suggests that modern sports games should be reorganized and harmonized to drive openness in the production of cultural space;stress should be laid on improving safeguards for the cultural inheritance policies to facilitate institutionalization in the production of cultural space;the focus should be placed on the integration of digital technology into the culture to promote innovation in the production of cultural space;and the industrial development of traditional culture should be enhanced to achieve a comprehensive approach to the production of cultural space as well as to promote the expansion of research perspectives and paradigms in regard to China’s traditional cultural spaces.
文摘With the expansion of the female player base and the increase in their purchasing power,the female-oriented game market has gradually risen.This paper employs the Uses and Gratifications Theory as a framework,using the successful case of Love and Deep Space to explore how female players satisfy their specific social and psychological needs through gaming.The study finds that female-oriented games effectively meet the diverse needs of female players in terms of content design,interactive experiences,and community building,further promoting the prosperity and development of the female-oriented game market.
文摘The Stackelberg prediction game(SPG)is a bilevel optimization frame-work for modeling strategic interactions between a learner and a follower.Existing meth-ods for solving this problem with general loss functions are computationally expensive and scarce.We propose a novel hyper-gradient type method with a warm-start strategy to address this challenge.Particularly,we first use a Taylor expansion-based approach to obtain a good initial point.Then we apply a hyper-gradient descent method with an ex-plicit approximate hyper-gradient.We establish the convergence results of our algorithm theoretically.Furthermore,when the follower employs the least squares loss function,our method is shown to reach an e-stationary point by solving quadratic subproblems.Numerical experiments show our algorithms are empirically orders of magnitude faster than the state-of-the-art.
