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622. A new characterization of Anderson’s inequality in $C_1$-classes
- Creator:
- Mecheri, Salah
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $C_1$-class, generalized $p$-symmetric operator, and Anderson Inequality
- Language:
- English
- Description:
- Let $\Cal H$ be a separable infinite dimensional complex Hilbert space, and let $\Cal L(\Cal H)$ denote the algebra of all bounded linear operators on $\Cal H$ into itself. Let $A=(A_{1},A_{2},\dots ,A_{n})$, $B=(B_{1},B_{2},\dots ,B_{n})$ be $n$-tuples of operators in $\Cal L(\Cal H)$; we define the elementary operators $\Delta_{A,B}\:\Cal L(\Cal H)\mapsto\Cal L(\Cal H)$ by $\Delta_{A,B}(X)=\sum_{i=1}^nA_iXB_i-X.$ In this paper, we characterize the class of pairs of operators $A,B\in\Cal L(\Cal H)$ satisfying Putnam-Fuglede’s property, i.e, the class of pairs of operators $A,B\in\Cal L(\Cal H)$ such that $\sum_{i=1}^nB_iTA_i=T$ implies $\sum_{i=1}^nA_i^*TB_i^*=T$ for all $T\in\Cal C_1(\Cal H)$ (trace class operators). The main result is the equivalence between this property and the fact that the ultraweak closure of the range of the elementary operator $\Delta_{A,B}$ is closed under taking adjoints. This leads us to give a new characterization of the orthogonality (in the sense of Birkhoff) of the range of an elementary operator and its kernel in $C_1$ classes.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
623. A new characterization of geometric distribution
- Creator:
- Maiti, Sudhansu S. and Biswas, Atanu
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- discrete distribution, exponential, and lack of memory
- Language:
- English
- Description:
- A characterization of geometric distribution is given, which is based on the ratio of the real and imaginary part of the characteristic function.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
624. A new characterization of symmetric group by NSE
- Creator:
- Babai, Azam and Akhlaghi, Zeinab
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- mathematics, set of the numbers of elements of the same order, prime graph, 13, and 51
- Language:
- English
- Description:
- Let G be a group and !(G) be the set of element orders of G. Let k 2 !(G) and mk(G) be the number of elements of order k in G. Let nse(G) = {mk(G) : k 2 !(G)}. Assume r is a prime number and let G be a group such that nse(G) = nse(Sr), where Sr is the symmetric group of degree r. In this paper we prove that G = Sr, if r divides the order of G and r2 does not divide it. To get the conclusion we make use of some well-known results on the prime graphs of finite simple groups and their components., Azam Babai, Zeinab Akhlaghi., and Seznam literatury
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
625. A new class of nonexpansive type mappings and fixed points
- Creator:
- Ćirić, Ljubomir B.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- nonexpansive type mapping, asymptotically regular mapping, and fixed point
- Language:
- English
- Description:
- In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
626. A new classification algorithm: optimally generalized learning vector quantization (OGLVQ)
- Creator:
- Temel, T.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- machine learning, classification, learning vector quantization, self-organized mapping, supervised learning, and unsupervised learning
- Language:
- English
- Description:
- We present a new Generalized Learning Vector Quantization classifier called Optimally Generalized Learning Vector Quantization based on a novel weight-update rule for learning labeled samples. The algorithm attains stable prototype/weight vector dynamics in terms of estimated current and previous weights and their updates. Resulting weight update term is then related to the proximity measure used by Generalized Learning Vector Quantization classifiers. New algorithm and some major counterparts are tested and compared for synthetic and publicly available datasets. For both the datasets studied, it is seen that the new classifier outperforms its counterparts in training and testing with accuracy above 80% its counterparts and in robustness against model parameter varition.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
627. A new coccidian parasite of the boodie, Bettongia lesueur (Mammalia: Marsupialia: Potoroidae), from Australia
- Creator:
- Hulst, Frances, Kemp, Leah F, and Šlapeta, Jan
- Format:
- print, počítač, and online zdroj
- Type:
- model:article and TEXT
- Subject:
- kokcidie, výtrusovci, morfologie (biologie), vačnatci, coccidia, Apicomplexa, morphology (biology), marsupials, Eimeria, taxonomy, bettongs, new species, 2, and 59
- Language:
- English
- Description:
- Four of 28 wild boodies or burrowing bettongs, Bettongia lesueur (Quoy et Gaimard) passed oocysts of species of Eimeria Schneider, 1875. The boodies are surviving on off-shore islands and in large predator-proof sanctuaries on the mainland where they were reintroduced. The boodie is a potoroid marsupial extinct from the mainland of Australia due to predation from red foxes and feral cats. Comparison with other species of the genus Eimeria indicates that the coccidium found represents a new species. Sporulated oocyst of Eimeria burdi sp. n. are pyriform, 21.0-24.0 µm (mean 22.6 µm) by 14.0-16.0 µm (14.9 µm), with a length/width ratio 1.31-1.71 (1.52) and 1-µm-thick yellowish bilayered wall. Micropyle is present at the thinner apex end filled with hyaline body. Polar granules are absent. Sporocysts are ellipsoidal, 10.0-13.5 µm (11.8 µm) by 7.0-8.5 µm (7.4 µm), shape index is 1.42-1.89 (1.63) and a very thin, poorly defined unilayered sporocyst wall is 0.2 µm thick with a domelike almost indistinct Stieda body. Substieda body is indistinct., Frances Hulst, Leah F. Kemp, Jan Šlapeta., and Obsahuje bibliografii
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
628. A new continuous dependence result for impulsive retarded functional differential equations
- Creator:
- Federson, Márcia and Mesquita, Jaqueline Godoy
- Format:
- print, bez média, and svazek
- Type:
- model:article and TEXT
- Subject:
- matematika, diferenciální rovnice, mathematics, differential equations, retarded functional differential equation, impulse local existenc, impulse local existence uniqueness, continuous dependence on parameters, 13, and 51
- Language:
- English
- Description:
- We consider a large class of impulsive retarded functional differential equations (IRFDEs) and prove a result concerning uniqueness of solutions of impulsive FDEs. Also, we present a new result on continuous dependence of solutions on parameters for this class of equations. More precisely, we consider a sequence of initial value problems for impulsive RFDEs in the above setting, with convergent right-hand sides, convergent impulse operators and uniformly convergent initial data. We assume that the limiting equation is an impulsive RFDE whose initial condition is the uniform limit of the sequence of the initial data and whose solution exists and is unique. Then, for sufficient large indexes, the elements of the sequence of impulsive retarded initial value problem admit a unique solution and such a sequence of solutions converges to the solution of the limiting Cauchy problem., Márcia Federson, Jaqueline Godoy Mesquita., and Obsahuje seznam literatury
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
629. A new damping strategy of Levenberg-Marquardt algorithm for Multilayer Perceptrons
- Creator:
- Kwak, Young-tae, Hwang, Ji-won, and Yoo, Cheol-jung
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Levenberg-Marquardt algorithm, damping parameter, Gauss-Newton method, and error backpropagation
- Language:
- English
- Description:
- In this paper, a new adjustment to the damping parameter of the Levenberg-Marquardt algorithm is proposed to save training time and to reduce error oscillations. The damping parameter of the Levenberg-Marquardt algorithm switches between a gradient descent method and the Gauss-Newton method. It also affects training speed and induces error oscillations when a decay rate is fixed. Therefore, our damping strategy decreases the damping parameter with the inner product between weight vectors to make the Levenberg-Marquardt algorithm behave more like the Gauss-Newton method, and it increases the damping parameter with a diagonally dominant matrix to make the Levenberg-Marquardt algorithm act like a gradient descent method. We tested two simple classifications and a handwritten digit recognition for this work. Simulations showed that our method improved training speed and error oscillations were fewer than those of other algorithms.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
630. A new digital cochlea model neuro-spike representation of auditory signals and its application to classification of bat-like biosonar echoes
- Creator:
- Temel, Turgay
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Audio processing systems, pattern recognition and classification, cochlea model, and spike coding
- Language:
- English
- Description:
- For an improved neuro-spike representation of auditory signals within cochlea models, a new digital ARMA-type low-pass filter structure is proposed. It is compared to more conventional AR-type counterpart on a classification of biosonar echoes, in which echoes from various tree species insonified with a bat-like chirp call are converted to biologically plausible feature vectors. Next, parametric and non-parametric models of the class-conditional densities are built from the echo feature vectors. The models are deployed in single-shot and sequential-decision classification algorithms. The results indicate that the proposed ARMA filter structure offers an improved single-echo classification performance, which leads to faster sequential-decision making than its AR-type counterpart.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public