- Mathematics 285
- Biomedical Engineering 2
- Interdisciplinary Research 2
- Life Sciences 2
- Civil Engineering 1
- Communication 1
- Library Science 1

- Walter Gautschi 286
- Mireille Boutin 3
- Bartlomiej P. Rajwa 2
- Courtney Falk 2
- Jonas Hepp 2
- Murat Dundar 2
- Yellamraju Tarun 2
- Austin J. Klasa 1
- Austin Klasa 1
- Baichuan Zhang 1

- Dataset 301

subject: Computer Science type: dataset

10.4231/R7N58J9Z

Baichuan Zhang, Bartlomiej P. Rajwa, Murat Dundar, Qiang Kou, Yicheng He

10/01/2015

We study a biodetection application as a case study to demonstrate that K-means-based unsupervised feature learning can be a simple yet effective alternative to deep learning techniques for small data sets with limited intra- as well as inter-class diversi...

bacterial colonies BARDOT Biomedical Engineering Computer Science deep learning Elastic light scattering Interdisciplinary Research K-Means Clustering Life Sciences Machine Learning representation learning

10.4231/R71Z4290

04/22/2014

The first 100 recurrence coefficients for orthogonal polynomials relative to the Theodorus weight function w(x)=x^(1/2)/(e^x-1) on R_+} are obtained from the first 200 moments mu_k=Gamma(k+3/2) * zeta(k+3/2), k=0,1,2,...,199, by using Chebyshev's algo...

Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Moment problem Numerical integrations Orthogonal polynomials Quadrature and cubature formulas Slowly convergent series Spiral of Theodorus Summation of series Walter Gautschi Archives

10.4231/R7QN64N5

03/21/2014

The first 40 recursion coefficients for the Airy weight function are obtained to 28 decimal digits by a discretization procedure described in Sec. 4.2 of Walter Gautschi, "Computation of Bessel and Airy functions and of related Gaussian quadrature formula...

Airy weight function Computer Science Equation Table Gaussian quadrature Mathematics Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives

10.4231/R7JW8BS2

04/22/2014

The first 40 recursion coefficients for the Bessel weight function are obtained to 28 decimal digits by a discretization procedure described in Sec. 4.1 of Walter Gautschi, "Computation of Bessel and Airy functions and of related Gaussian quadrature formul...

Computer Science Equation Table Gaussian quadrature K-Bessel weight function Mathematics Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives

10.4231/R7H12ZX3

04/22/2014

The first 100 recurrence coefficients for the Bose-Einstein weight function w(x)=x/(e^x-1) on R_+} are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 4 of "Variable-prec...

Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives

10.4231/R77H1GGF

04/22/2014

The first 100 recurrence coefficients for the Bose-Einstein weight function w(x)=[x/(e^x-1)]^2 on R_+} are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 4 of "Variable-...

Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

10.4231/R73R0QRQ

04/22/2014

The first 100 recurrence coefficients for the Bose-Einstein weight function w(x)=[x/(e^x-1)]^3 on R_+} are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 4 of "Variable-p...

Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

10.4231/R7000013

04/22/2014

The first 100 recurrence coefficients for the Bose-Einstein weight function w(x)=[x/(e^x-1)]^4 on R_+} are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 4 of "Variable-p...

Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

10.4231/R7C82765

04/24/2014

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Fermi-Dirac weight function w(x)=1/(e^x+1) computed by the routine sr_fermidirac(100,1,32). See W. Gautschi. Repeated modifications of orthogonal polynomial...

Computer Science Equation Table Fermi Dirac weight Function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

10.4231/R7F769GC

04/22/2014

The first 100 recurrence coefficients for the Freud weight function w(x)=exp(-x^10}) on R are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 3 of "Variable-precision rec...

Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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