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Quantile and Probability Curves Without Crossing [PDF]
, 2009 This paper proposes a method to address the longstanding problem of lack of monotonicity in estimation of conditional and structural quantile functions, also known as the quantile crossing problem.
Chernozhukov, Victor +2 more
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Approximate resilience, monotonicity, and the complexity of agnostic learning [PDF]
, 2014 A function $f$ is $d$-resilient if all its Fourier coefficients of degree at most $d$ are zero, i.e., $f$ is uncorrelated with all low-degree parities. We study the notion of $\mathit{approximate}$ $\mathit{resilience}$ of Boolean functions, where we say
Dachman-Soled, Dana +4 more
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Application of operator monotone functions in economics; pp. 42–47 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 Operator monotone functions play an important role in economics. We show that 2-monotonicity is equivalent to decreasing relative risk premium, a notion recently introduced in microeconomics.
Frank Hansen
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On the Lyapunov Exponent of Monotone Boolean Networks †
Mathematics, 2020 Boolean networks are discrete dynamical systems comprised of coupled Boolean functions. An important parameter that characterizes such systems is the Lyapunov exponent, which measures the state stability of the system to small perturbations.
Ilya Shmulevich
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Nonparametric instrumental variable estimation under monotonicity [PDF]
, 2014 The ill-posedness of the inverse problem of recovering a regression function in a nonparametric instrumental variable model leads to estimators that may suffer from a very slow, logarithmic rate of convergence. In this paper, we show that restricting the
Chetverikov, Denis, Wilhelm, Daniel
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Advances in Difference Equations, 2020 In this paper we consider a fractional differential system with coupled integral boundary value problems on a half-line, where the nonlinearity terms depend on unknown functions and the lower-order fractional derivative of unknown functions, and the ...
Haiyan Zhang, Yongqing Wang, Jiafa Xu
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Monotone Boolean Functions with s Zeros Farthest from Threshold Functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Let $T_t$ denote the $t$-threshold function on the $n$-cube: $T_t(x) = 1$ if $|\{i : x_i=1\}| \geq t$, and $0$ otherwise. Define the distance between Boolean functions $g$ and $h$, $d(g,h)$, to be the number of points on which $g$ and $h$ disagree.
Kazuyuki Amano, Jun Tarui
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ON K -MONOTONE APPROXIMATION IN LP
Journal of Kufa for Mathematics and Computer, 2010 In 1995 Kopotun [4], introduced a paper on k -monotone polynomial and spline approximation in P L , 0 < p < ¥ quasi norm . In this paper, we discuss the errors of approximation of k -monotone function by k - monotone interpolation .
Malik Saad Al-Muhja, Eman Samir Bhaya
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Learning circuits with few negations [PDF]
, 2014 Monotone Boolean functions, and the monotone Boolean circuits that compute them, have been intensively studied in complexity theory. In this paper we study the structure of Boolean functions in terms of the minimum number of negations in any circuit ...
Blais, Eric +4 more
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Testing equality of functions under monotonicity constraints
, 2013 We consider the problem of testing equality of functions $f_j:[0,1]\to \mathbb{R}$ for $j=1,2,...,J$ the basis of $J$ independent samples from possibly different distributions under the assumption that the functions are monotone.
Durot, Cécile +2 more
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