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Bernoulli, ISSN 1350-7265, 05/2015, Volume 21, Issue 2, pp. 1231 - 1237
Let epsilon(1) . . . . . epsilon(n) be independent identically distributed Rademacher random variables, that is P{epsilon(i) = +/- 1) = 1/2. Let S-n =a(1)epsilon(1) + . . . +a(n)epsilon(n). where a = (a(1) . . . . . a(n... 
Tail comparison | Self-normalized sums | Weighted Rademachers | Random sign | Optimal constants | Student's statistic | Gaussian | Large deviations | Symmetric | Bounds for tail probabilities | large deviations | optimal constants | bounds for tail probabilities | STATISTICS & PROBABILITY | symmetric | random sign | self-normalized sums | tail comparison | weighted Rademachers | Mathematics - Probability | Student’s statistic
Journal Article
Stochastic Analysis and Applications, ISSN 0736-2994, 11/2019, Volume 37, Issue 6, pp. 1092 - 1106
In this correspondence, complete convergence theorems are established for weighted row sums from arrays of random elements taking values in real separable Rademacher type Banach spaces as well as real... 
array of Banach space valued random elements | Secondary 60B11 | rowwise independent | Primary 60F15 | Complete convergence | weighted row sums | martingale type p Banach space | Rademacher type p Banach space | martingale differences | Theorems | Banach spaces | Random variables | Arrays | Banach space | Martingales | Sums | Convergence
Journal Article
2015 Conference on Technologies and Applications of Artificial Intelligence (TAAI), 11/2015, pp. 546 - 553
.... In this paper, we introduce a novelty complexity (weighted Rademacher complexity) to restrict the complexity of a hypothesis class in multiple source domain adaptation... 
multiple source domain adaptation | weighted combination | Rademacher complexity | learning bound | Learning | Training | Conferences | Benchmarking | Artificial intelligence | Expert systems | Complexity | Adaptation
Conference Proceeding
Stochastic Analysis and Applications, ISSN 0736-2994, 01/2003, Volume 21, Issue 5, pp. 1169 - 1187
...} is an array of mean 0 random elements in a separable real Rademacher type p (1 ≤ p ≤ 2) Banach space, and {k n , n ≥ 1} and {T n , n ≥ 1} are sequences of positive integers and positive integer-valued random variables, respectively... 
Separable real Rademacher type p Banach space | Mean convergence | Array of rowwise independent random elements | Random indices | Random weights | Weighted sums | Separable real rademacher type p Banach space | random indices | NORMED LINEAR-SPACES | MATHEMATICS, APPLIED | LARGE NUMBERS | UNIFORM INTEGRABILITY | STATISTICS & PROBABILITY | ARRAYS | weighted sums | random weights | WEAK LAW | separable real Rademacher type p Banach space | array of rowwise independent random elements | mean convergence
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 03/2018, Volume 716, pp. 89 - 106
.... We present new data-dependent generalization guarantees for learning weighted automata expressed in terms of the Rademacher complexity of these classes... 
Generalization bounds | Weighted automata | Learning theory | Rademacher complexity | COMPUTER SCIENCE, THEORY & METHODS | Robots
Journal Article
Journal of Theoretical Probability, ISSN 0894-9840, 7/1997, Volume 10, Issue 3, pp. 605 - 623
Journal Article
Sankhyā: The Indian Journal of Statistics (2003-2007), ISSN 0972-7671, 5/2007, Volume 69, Issue 2, pp. 330 - 343
Journal Article
Lithuanian Mathematical Journal, ISSN 0363-1672, 10/2014, Volume 54, Issue 4, pp. 403 - 408
Let ε, ε1, ε2, . . . be independent identically distributed Rademacher random variables, P{ε = ± 1} = 1/2. Denote S = ∑ i = 1 ∞ a i ε i , where a1, a2, . . . is a (weight... 
Ordinary Differential Equations | bounds for tail probabilities | weighted sums of Rademacher random variables | Mathematics, general | Probability Theory and Stochastic Processes | Mathematics | Actuarial Sciences | Number Theory | random signs | MATHEMATICS | INEQUALITIES | QUADRATIC OPTIMIZATION | BOUNDS | PRODUCT | SUMS
Journal Article
ACTA MATHEMATICA SINICA-ENGLISH SERIES, ISSN 1439-8516, 04/2012, Volume 28, Issue 4, pp. 857 - 868
The paper investigates L (p) convergence and Marcinkiewicz-Zygmund strong laws of large numbers for random elements in a Banach space under the condition that the Banach space is of Rademacher type p, 1 < p < 2... 
WEIGHTED SUMS | MATHEMATICS | MATHEMATICS, APPLIED | L-r convergence | LARGE NUMBERS | Rademacher type p | WEAK LAW | UNIFORM INTEGRABILITY | THEOREMS | random element | Marcinkiewicz-Zygmund strong law of large number | P BANACH-SPACES
Journal Article
Nonlinearity, ISSN 0951-7715, 10/2017, Volume 30, Issue 11, pp. 4029 - 4061
We investigate the spectral stability of travelling wave solutions in a Keller-Segel model of bacterial chemotaxis with a logarithmic chemosensitivity function... 
Keller-Segel model | traveling wave solutions | absolute instabilities | logarithmic chemosensitivity | spectral stability | weighted essential spectrum | absolute spectrum | SYSTEM | MATHEMATICS, APPLIED | STABILITY | PHYSICS, MATHEMATICAL | SPIKE | CHEMOTACTIC BACTERIA | DYNAMICS | travelling wave solutions | SPECTRA | BANDS | Mathematics - Dynamical Systems
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