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Using Non-Additive Measure for Optimization-Based Nonlinear Classification
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作者 Nian Yan Zhengxin Chen +2 位作者 Yong Shi Zhenyuan Wang Guimin Huang 《American Journal of Operations Research》 2012年第3期364-373,共10页
Over the past few decades, numerous optimization-based methods have been proposed for solving the classification problem in data mining. Classic optimization-based methods do not consider attribute interactions toward... Over the past few decades, numerous optimization-based methods have been proposed for solving the classification problem in data mining. Classic optimization-based methods do not consider attribute interactions toward classification. Thus, a novel learning machine is needed to provide a better understanding on the nature of classification when the interaction among contributions from various attributes cannot be ignored. The interactions can be described by a non-additive measure while the Choquet integral can serve as the mathematical tool to aggregate the values of attributes and the corresponding values of a non-additive measure. As a main part of this research, a new nonlinear classification method with non-additive measures is proposed. Experimental results show that applying non-additive measures on the classic optimization-based models improves the classification robustness and accuracy compared with some popular classification methods. In addition, motivated by well-known Support Vector Machine approach, we transform the primal optimization-based nonlinear classification model with the signed non-additive measure into its dual form by applying Lagrangian optimization theory and Wolfes dual programming theory. As a result, 2n – 1 parameters of the signed non-additive measure can now be approximated with m (number of records) Lagrangian multipliers by applying necessary conditions of the primal classification problem to be optimal. This method of parameter approximation is a breakthrough for solving a non-additive measure practically when there are relatively small number of training cases available (mn-1). Furthermore, the kernel-based learning method engages the nonlinear classifiers to achieve better classification accuracy. The research produces practically deliverable nonlinear models with the non-additive measure for classification problem in data mining when interactions among attributes are considered. 展开更多
关键词 NONLINEAR PROGRAMMING NONLINEAR CLASSIFICATION non-additive MEASURE Choquet INTEGRAL Support Vector Machines
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Path integral formalism of open quantum systems with non-diagonal system-bath coupling
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作者 Ruofan Chen 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第11期145-150,共6页
Most path integral expressions for quantum open systems are formulated with diagonal systembath coupling,where the influence functional is a functional of scalar-valued trajectories.This formalism is enough if only a ... Most path integral expressions for quantum open systems are formulated with diagonal systembath coupling,where the influence functional is a functional of scalar-valued trajectories.This formalism is enough if only a single bath is under consideration.However,when multiple baths are present,non-diagonal system-bath couplings need to be taken into consideration.In such a situation,using an abstract Liouvillian method,the influence functional can be obtained as a functional of operator-valued trajectories.The value of the influence functional itself also becomes a superoperator rather than an ordinary scalar,whose meaning is ambiguous at first glance and its connection to the conventional understanding of the influence functional needs extra careful consideration.In this article,we present another concrete derivation of the superoperator-valued influence functional based on the straightforward Trotter-Suzuki splitting,which can provide a clear picture to interpret the superoperator-valued influence functional. 展开更多
关键词 path integral non-additive enviroments Caldeira-Leggett model
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Some properties of monotone set functions defined by Choquet integral 被引量:4
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作者 欧阳耀 李军 《Journal of Southeast University(English Edition)》 EI CAS 2003年第4期423-426,共4页
In this paper, some properties of the monotone set function defined by theChoquet integral are discussed. It is shown that several important structural characteristics of theoriginal set function, such as weak null-ad... In this paper, some properties of the monotone set function defined by theChoquet integral are discussed. It is shown that several important structural characteristics of theoriginal set function, such as weak null-additivity, strong order continuity, property (s) andpseudomelric generating property, etc., are preserved by the new set function. It is also shown thatC-integrability assumption is inevitable for the preservations of strong order continuous andpseudometric generating property. 展开更多
关键词 non-additive measure monotone set function choquet integral
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Impact of tree litter identity, litter diversity and habitat quality on litter decomposition rates in tropical moist evergreen forest 被引量:2
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作者 Seyoum Getaneh Olivier Honnay +4 位作者 Ellen Desie Kenny Helsen Lisa Couck Simon Shibru Bart Muys 《Forest Ecosystems》 SCIE CSCD 2022年第2期247-256,共10页
Background:Attempts to restore degraded highlands by tree planting are common in East Africa.However,up till now,little attention has been given to effects of tree species choice on litter decomposition and nutrient r... Background:Attempts to restore degraded highlands by tree planting are common in East Africa.However,up till now,little attention has been given to effects of tree species choice on litter decomposition and nutrient recycling.Method:In this study,three indigenous and two exotic tree species were selected for a litter decomposition study.The objective was to identify optimal tree species combinations and tree diversity levels for the restoration of degraded land via enhanced litter turnover.Litterbags were installed in June 2019 into potential restoration sites(disturbed natural forest and forest plantation)and compared to intact natural forest.The tested tree leaf litters included five monospecific litters,ten mixtures of three species and one mixture of five species.Standard green and rooibos tea were used for comparison.A total of 1,033 litters were retrieved for weight loss analysis after one,three,six,and twelve months of incubation.Results:The finding indicates a significant effect of both litter quality and litter diversity on litter decomposition.The nitrogen-fixing native tree Millettia ferruginea showed a comparable decomposition rate as the fast decom-posing green tea.The exotic conifer Cupressus lusitanica and the native recalcitrant Syzygium guineense have even a lower decomposition rate than the slowly decomposing rooibos tea.A significant correlation was observed be-tween litter mass loss and initial leaf litter chemical composition.Moreover,we found positive non-additive ef-fects for litter mixtures including nutrient-rich and negative non-additive effects for litter mixtures including poor leaf litters respectively.Conclusion:These findings suggest that both litter quality and litter diversity play an important role in decom-position processes and therefore in the restoration of degraded tropical moist evergreen forest. 展开更多
关键词 Antagonistic effect Forest type Functional diversity LITTERBAG Litter mixture Litter quality non-additive effect Tea bag index
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Heterosis, Combining Ability and Gene Action for Yield in Bottle Gourd 被引量:2
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作者 Akm Quamruzzaman M. M. R. Salim +2 位作者 L. Akhter M. M. Rahman M. A. Z. Chowdhury 《American Journal of Plant Sciences》 2020年第5期642-652,共11页
The experiment was conducted at the experimental field of Olericulture Division, Horticulture Research Centre (HRC), Bangladesh Agricultural Research Institute (BARI), Gazipur, Bangladesh during the winter season of 2... The experiment was conducted at the experimental field of Olericulture Division, Horticulture Research Centre (HRC), Bangladesh Agricultural Research Institute (BARI), Gazipur, Bangladesh during the winter season of 2018-2019 to study the genetic architecture of yield in a seven parent half diallel cross of bottle gourd. The values of mean square for GCA (general combining ability) and SCA (specific combining ability) were highly significant which suggested the presence of both additive and non-additive genetic variance in the population. But the higher magnitude of GCA compared to SCA indicated predominance of additive genetic variance. In most of the cases, the cross between poor and poor parents showed positive SCA effect for fruit yield, which indicated the higher yield. The estimates of significant positive better parent heterosis ranged from 6.27 to 49.72 percent. Analysis of genetic components of variation suggested that additive components were more important in the inheritance of fruit yield. This character was observed being controlled by two to three pairs of genes or groups of genes. Narrow sense heritability was 23 percent indicating probability of selection in generations. The graphical analysis also indicated wide genetic diversity among the parents. 展开更多
关键词 BOTTLE Gourd Combining Ability HETEROSIS Genetic Architecture ADDITIVE and non-additive Gene ACTIONS
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A multi-objective model for cordon-based congestion pricing schemes with nonlinear distance tolls 被引量:1
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作者 孙鑫 刘志远 +3 位作者 THOMPSON Russell G 别一鸣 翁金贤 陈淑燕 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第5期1273-1282,共10页
Congestion pricing is an important component of urban intelligent transport system.The efficiency,equity and the environmental impacts associated with road pricing schemes are key issues that should be considered befo... Congestion pricing is an important component of urban intelligent transport system.The efficiency,equity and the environmental impacts associated with road pricing schemes are key issues that should be considered before such schemes are implemented.This paper focuses on the cordon-based pricing with distance tolls,where the tolls are determined by a nonlinear function of a vehicles' travel distance within a cordon,termed as toll charge function.The optimal tolls can give rise to:1) higher total social benefits,2) better levels of equity,and 3) reduced environmental impacts(e.g.,less emission).Firstly,a deterministic equilibrium(DUE) model with elastic demand is presented to evaluate any given toll charge function.The distance tolls are non-additive,thus a modified path-based gradient projection algorithm is developed to solve the DUE model.Then,to quantitatively measure the equity level of each toll charge function,the Gini coefficient is adopted to measure the equity level of the flows in the entire transport network based on equilibrium flows.The total emission level is used to reflect the impacts of distance tolls on the environment.With these two indexes/measurements for the efficiency,equity and environmental issues as well as the DUE model,a multi-objective bi-level programming model is then developed to determine optimal distance tolls.The multi-objective model is converted to a single level model using the goal programming.A genetic algorithm(GA) is adopted to determine solutions.Finally,a numerical example is presented to verify the methodology. 展开更多
关键词 distance-based toll charging schemes EQUITY path-based gradient projection algorithm non-additive goal programming
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Expanding the phenotypic plasticity paradigm to broader views of trait space and ecological function
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作者 Thomas J. DEWITT 《Current Zoology》 SCIE CAS CSCD 2016年第5期463-473,共11页
Foundational concepts of trait spaces, including phenotypic plasticity and function of traits, should be expanded and better integrated with ecological theory. This article addresses two areas where plasticity theory ... Foundational concepts of trait spaces, including phenotypic plasticity and function of traits, should be expanded and better integrated with ecological theory. This article addresses two areas where plasticity theory can become further integrated with ecological, evolutionary, and developmental thinking. First is the idea that not only trait means within environments and plasticity of trait means across environments is optimized by selection, but that the entire shape of phenotype distributions such as variance or skew should be optimized within and across environments. In order for trait distribution shape to evolve into adaptations, there must be a genetic basis for and selection upon variation in distribution shapes and their plasticities. I present published and new data demonstrating genetic control and selection for higher moments of phenotype distributions; though, plasticity in these values has not yet been tested. Genetic control of phenotype distribution moments is shown for Neurospora crassa ascospore size and shape. Selection on trait distribution moments is shown for Eurosta solidaginis gall size. Second, there is a tradition in modeling plasti- city as an adaptive strategy that pits it as an alternative to ecological specialization or generaliza- tion. However, these strategies need not be considered alternatives. Rather, with environmental fluctuation within generations plasticity may produce additive or non-additive intermediate (gener- alist) phenotypes, or something new altogether. I present published and new data on the snail Physa virgata and fish Gambusia affinis that show plasticity produces partly intermediate (general- ist) and partly unique phenotypic elements in mixed and fluctuating environments. Plasticity can thus be viewed in the context of a broader trait space and as having broader ecological roles than currently is conceived. 展开更多
关键词 genetics of trait distributions multi-moment reaction norms non-additive plasticity off-plane phenotypes probabilisticoptimization selection on trait distributions specialists and generalists.
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Reliability-based congestion pricing model under endogenous equilibrated market penetration and compliance rate of ATIS
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作者 钟绍鹏 邓卫 Bushell MAX 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第3期1155-1165,共11页
A reliability-based stochastic system optimum congestion pricing(SSOCP) model with endogenous market penetration and compliance rate in an advanced traveler information systems(ATIS) environment was proposed. All trav... A reliability-based stochastic system optimum congestion pricing(SSOCP) model with endogenous market penetration and compliance rate in an advanced traveler information systems(ATIS) environment was proposed. All travelers were divided into two classes. The first guided travelers were referred to as the equipped travelers who follow ATIS advice, while the second unguided travelers were referred to as the unequipped travelers and the equipped travelers who do not follow the ATIS advice(also referred to as non-complied travelers). Travelers were assumed to take travel time, congestion pricing, and travel time reliability into account when making travel route choice decisions. In order to arrive at on time, travelers needed to allow for a safety margin to their trip.The market penetration of ATIS was determined by a continuous increasing function of the information benefit, and the ATIS compliance rate of equipped travelers was given as the probability of the actually experienced travel costs of guided travelers less than or equal to those of unguided travelers. The analysis results could enhance our understanding of the effect of travel demand level and travel time reliability confidence level on the ATIS market penetration and compliance rate; and the effect of travel time perception variation of guided and unguided travelers on the mean travel cost savings(MTCS) of the equipped travelers, the ATIS market penetration, compliance rate, and the total network effective travel time(TNETT). 展开更多
关键词 reliability advanced traveler information systems market penetration compliance rate stochastic system optimum congestion pricing non-additive path cost
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Integrating geometallurgical ball mill throughput predictions into short-term stochastic production scheduling in mining complexes
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作者 Christian Both Roussos Dimitrakopoulos 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2023年第2期185-199,共15页
This article presents a novel approach to integrate a throughput prediction model for the ball mill into short-term stochastic production scheduling in mining complexes.The datasets for the throughput prediction model... This article presents a novel approach to integrate a throughput prediction model for the ball mill into short-term stochastic production scheduling in mining complexes.The datasets for the throughput prediction model include penetration rates from blast hole drilling(measurement while drilling),geological domains,material types,rock density,and throughput rates of the operating mill,offering an accessible and cost-effective method compared to other geometallurgical programs.First,the comminution behavior of the orebody was geostatistically simulated by building additive hardness proportions from penetration rates.A regression model was constructed to predict throughput rates as a function of blended rock properties,which are informed by a material tracking approach in the mining complex.Finally,the throughput prediction model was integrated into a stochastic optimization model for short-term production scheduling.This way,common shortfalls of existing geometallurgical throughput prediction models,that typically ignore the non-additive nature of hardness and are not designed to interact with mine production scheduling,are overcome.A case study at the Tropicana Mining Complex shows that throughput can be predicted with an error less than 30 t/h and a correlation coefficient of up to 0.8.By integrating the prediction model and new stochastic components into optimization,the production schedule achieves weekly planned production reliably because scheduled materials match with the predicted performance of the mill.Comparisons to optimization using conventional mill tonnage constraints reveal that expected production shortfalls of up to 7%per period can be mitigated this way. 展开更多
关键词 Geometallurgy Stochastic optimization Short-term open pit mine production scheduling Measurement while drilling non-additivity HARDNESS
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Sunflower (Helianthus annuus L.) Hybrids: Strategic Crossbreeding Techniques to Efficiently Enhance Yield and Oil Quality
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作者 Fida Hussain Farooq Khan +5 位作者 Javed Ahmad Heqiang Huo Tao Jiang Iqrar Rana Sajida Habib Muhammad Umer Farooq 《Phyton-International Journal of Experimental Botany》 2025年第10期3231-3249,共19页
The analysis of combining ability and heterosis is very important in enhancing the yield and oil quality of sunflowers under adverse conditions,and it reveals the potential of the parents and the mechanism of gene act... The analysis of combining ability and heterosis is very important in enhancing the yield and oil quality of sunflowers under adverse conditions,and it reveals the potential of the parents and the mechanism of gene action.In this study,twenty-one hybrids were developed by crossing seven cytoplasmic male sterile(CMS)lines with three restorer lines and evaluated for agronomic and quality traits.Highly significant general combining ability(GCA)and specific combining ability(SCA)effects were observed,confirming the role of both additive and non-additive gene actions.Among the tested crosses,A-42×R-86,A-92×R-86,and A-92×R-114 exhibited the greatest heterotic advantage,with seed yields exceeding 340 kg ha^(−1) over the better parent,oil contents above 19%,and 100-seed weights greater than 27 g.The hybrid A-92×R-114 was particularly notable for its elevated oleic acid level and balanced fatty acid profile,making it a strong candidate for premium oilseed production.In contrast,hybrids like A-20×R-39 exhibited moderate heterosis and less quality superiority.The oleic-to-linoleic acid ratio,a key determinant of oil stability,was strongly controlled by genetic factors.Oil content was largely influenced by additive effects,whereas yield heterosis was predominantly governed by non-additive effects.Overall,A-42×R-86 and A-92×R-114 emerged as the most promising hybrids,combining yield benefits with improved oil quality,and offering practical guidance for parental selection in sunflower breeding programs. 展开更多
关键词 Sunflower combining ability heterosis line×tester achene yield components oleic acid edible oil quality additive and non-additive gene effects
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Litter mixing significantly affects decomposition in the Hulun Buir meadow steppe of Inner Mongolia, China 被引量:8
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作者 Caihong Zhang Shenggong Li +2 位作者 Leiming Zhang Xiaoping Xin Xingren Liu 《Journal of Plant Ecology》 SCIE 2014年第1期59-67,共9页
Aims We explored the decomposition rates of single-and mixed-species litter,the litter-mixing effect and the effect of component litters in a mixture on decomposition.Methods In a litter bag experiment,shoot litters f... Aims We explored the decomposition rates of single-and mixed-species litter,the litter-mixing effect and the effect of component litters in a mixture on decomposition.Methods In a litter bag experiment,shoot litters from two dominant grasses(Leymus chinensis and Stipa baicalensis)and one legume(Melissitus ruthenica)were decomposed separately and as a mixture from May 2010 to September 2011 in the Hulun Buir meadow steppe of Inner Mongolia,China.We separated the litter mixture into its individual component litters(i.e.the different single-species litters)and analyzed the changes in litter mass remaining and litter nitrogen(N)remaining during single-and mixed-species litter decomposition.Important Findings(i)Litter mixing had significant positive effects on litter decomposition.The litter-mixing effect was strongest for the mixture of S.baicalensis and L.chinensis litters,followed by the mixture of S.baicalensis and M.ruthenica litters.(ii)Single-species component litters decomposed faster in the mixtures than separately(positive effect),but these effects were not significant for legume species M.ruthenica litter.Relative to single-species litter decomposition,the decomposition rates of the two grass(S.baicalensis and L.chinensis)litters significantly increased when they were mixed with each other or with M.ruthenica litter.(iii)For each species litter type,the percentage of litter N remaining during decomposition(NR)differed between the single-species litter and mixed litter treatments.The NR of S.baicalensis litter was higher when it was decomposed in the mixture than in isolation.However,the NR of L.chinensis litter was lowest in its mixture with M.ruthenica among the treatments.Regardless of its decomposition in the mixture or in isolation,the NR of M.ruthenica litter varied little among treatments.There was a significant positive relationship between the NR and percentage of initial litter mass remaining in both the single litter and mixed litter treatments.These results suggest that N transfer may happen among component litters in mixture and further affect the decomposition. 展开更多
关键词 non-additive effect interaction strength single litter mixed litter nutrient concentration
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Dynamic Patterns of Gene Expression Additivity and Regulatory Variation throughout Maize Development 被引量:3
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作者 Peng Zhou Candice N.Hirsch +1 位作者 Steven P.Briggs Nathan M.Springer 《Molecular Plant》 SCIE CAS CSCD 2019年第3期410-425,共16页
Gene expression variation is a key component underlying phenotypic variation and heterosis. Transcriptome profiling was performed on 23 different tissues or developmental stages of two maize inbreds, B73 and Mo17, as ... Gene expression variation is a key component underlying phenotypic variation and heterosis. Transcriptome profiling was performed on 23 different tissues or developmental stages of two maize inbreds, B73 and Mo17, as well as their hybrid. The obtained large-scale datasets provided opportunities to monitor the developmental dynamics of differential expression, additivity for gene expression, and regulatory variation. The transcriptome can be divided into .30 000 genes that are expressed in at least one tissue of one in bred and an additional ~10 000 “silent” genes that are not expressed in any tissue of any genotype, 90% of which are non-syntenic relative to other grasses. Many (.74%) of the expressed genes exhibit differential expression in at least one tissue. However, the majority of genes with differential expression do not exhibit consistent differential expression in different tissues. These genes often exhibit tissue-specific differential expression with equivalent expression in other tissues, and in many cases they switch the directionality of differential expression in different tissues. This suggests widespread variation for tissue-specific regulation of gene expression between the two maize inbreds B73 and Mo17. Nearly 5000 genes are expressed in only one parent in at least one tissue (single parent expression) and 97% of these genes are expressed at mid-parent levels or higher in the hybrid, providing extensive opportunities for hybrid complementation in heterosis. In general, additive expression patterns are much more common than non-additive patterns, and this trend is more pronounced for genes with strong differential expression or single pare nt expressi on. There is relatively little evidence for non-additive expression patterns that are maintained in multiple tissues. The analysis of allele-specific expression allowed classification of cis. and trans-regulatory variation. Genes with c/s-regulatory variation often exhibit additive expression and tend to have more consistent regulatory variation throughout development. In contrast, genes with trans-reguiatory variation are enriched for non-additive patterns and often show tissue-specific differential expression. Taken together, this study provides a deeper understatiding of regulatory variation and the degree of additive gene expression throughout maize development. The dynamic nature of differential expression, additivity, and regulatory variation imply abundant variability for tissue-specific regulatory mechanisms and suggest that connections between transcriptome and phenome will require expression data from multiple tissues. 展开更多
关键词 MAIZE gene EXPRESSION HETEROSIS differential EXPRESSION non-additive EXPRESSION allele-specific EXPRESSION
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Theoretical study on cooperative and extra-additive behavior of hydrogen-bonded clusters
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作者 唐俊辉 陈鹏磊 +1 位作者 甄珍 刘新厚 《Science China Chemistry》 SCIE EI CAS 2001年第4期381-386,共6页
The stabilization energy $\Delta E\left( n \right)$ and four typical properties of hydrogen bond F—H…F in chain-like and cyclic (HF) n clusters (n = 1–5) have been calculated using MP2 and three DF levels of theory... The stabilization energy $\Delta E\left( n \right)$ and four typical properties of hydrogen bond F—H…F in chain-like and cyclic (HF) n clusters (n = 1–5) have been calculated using MP2 and three DF levels of theory with the Gaussian 98 program, and 6-31++G** bases set. The results demonstrate that the extra-additive or cooperative behavior in (HF)n clusters is very obvious. In addition, we studied much larger chain-like (HF)n (n= 6, 9, 12, 18, 24) clusters using one of these DF methods. 展开更多
关键词 HYDROGEN-BONDED DF methods non-additive or cooperative behavior
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A general information theoretical proof for the second law of thermodynamics 被引量:1
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作者 ZHANG QiRen Department of Technical Physics, Peking University, Beijing 100871, China 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2008年第7期813-816,共4页
It is shown that the conservation and the non-additivity of the information, together with the additivity of the entropy, make the entropy increase in an isolated system. The collapse of the entangled quantum state of... It is shown that the conservation and the non-additivity of the information, together with the additivity of the entropy, make the entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the information non-additivity. Nevertheless, the non-additivity of information is also true in other fields in which the interaction information is important. Examples are classical statistical mechanics, social statistics and financial processes. The second law of thermodynamics is thus proven in its most general form. It is exactly true not only in quantum and classical physics but also in other processes in which the information is conservative and non-additive. 展开更多
关键词 INFORMATION CONSERVATION non-additivity of INFORMATION ENTROPY INCREASE
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