A Posteriori Probabilistic Bounds of Convex Scenario Programs with Validation Tests

Scenario programs have established themselves as efficient tools towards decision-making under uncertainty. To assess the quality of scenario-based solutions a posteriori, validation tests based on Bernoulli trials have been widely adopted in practice. However, to reach a theoretically reliable judgement of risk, one typically needs to collect massive validation samples. In this work, we propose new a posteriori bounds for convex scenario programs with validation tests, which are dependent on both realizations of support constraints and performance on out-of-sample validation data. The proposed bounds enjoy wide generality in that many existing theoretical results can be incorporated as particular cases. To facilitate practical use, a systematic approach for parameterizing a posteriori probability bounds is also developed, which is shown to possess a variety of desirable properties allowing for easy implementations and clear interpretations. By synthesizing comprehensive information about support constraints and validation tests, improved risk evaluation can be achieved for randomized solutions in comparison with existing a posteriori bounds. Case studies on controller design of aircraft lateral motion are presented to validate the effectiveness of the proposed a posteriori bounds

θ-structures of Mandarin Resultative Verb Compounds

Mandarin Resultative Verb Compounds, different from any simplex words, have complicated θ-structures, since both the verb (Vcaus) and its complement (Cres) have the capacity of assigning their own thematic roles. The thematic roles assigned by Vcaus form the θ-structure’s main structure, and those assigned by Cres form the embedded structure. Sometimes an entity plays a role in the main structure, and at the same time plays a role in the embedded structure. If the two roles are identical, they are “coindexed”; if they are different, they form a composite role. RVC’s θ-structure is further compounded when ambiguity occurs and when causation is taken into consideration. The ambiguity of RVCs can be attributed to the different combination of thematic roles. As for causation, the two causative roles, causer and cause, can be assigned to thematic roles according to certain constraints

Shanghai\u27s western townscape and changing perceptions of cultural heritage in China

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The Mapping of Thematic Roles to Grammatical Functions in Mandarin BA Construction Denoting Causation: From the Perspective of Lexical Mapping Theory

NP1 in the position of the subject of the mandarin BA construction denoting causation is usually occupied by patientlike roles and NP2 immediately following BA is usually occupied by agentlike roles. The causative relation between NP1 and NP2, with the former being the Cause, and the latter the Affectee, derives from the word BA, which triggers in the lexicon the morpholexical operation of causativization when it unites with the predicate. The operation involves either assignment of causative roles Cause and Affectee to the existent thematic roles or insertion of a new role Cause to the thematic structure, with the prominence of Cause or the thematic role assigned Cause always being over the other roles. Having undergone this morpholexical operation, the thematic structure correctly maps to and generates the grammatical functional structure according to the general principles and conditions stipulated by the Lexical Mapping Theory (LMT). The result of this research shows that even for a construction as unique as the mandarin BA construction denoting causation compared with any other languages, LMT is still well applicable in explaining its role-function mapping

Design of Urban Building Complex with Space Function Traffic Organization as the Core

City building complex urban society with the continuous development of economy, culture and gradually developed, and gradually become an important part of the city, its only function effectively reorganized the space, and the completion of the complex and the combination of urban functions, played beyond the integration of excitation functions. In this paper, Understanding urban complex design features function and points to note from the three aspects of space, function and traffic organization