LLE with low-dimensional neighborhood representation (2008)
Goldberg, Yair, Ritov, Ya'acov
The local linear embedding algorithm (LLE) is a non-linear dimension-reducing technique, widely used due to its computational simplicity and intuitive approach. LLE first linearly reconstructs each...
Discussion of: Treelets--An adaptive multi-scale basis for sparse unordered data (2008)
Bickel, Peter J., Ritov, Ya'acov
Discussion of "Treelets--An adaptive multi-scale basis for sparse unordered data" [arXiv:0707.0481]
Discussion: The Dantzig selector: statistical estimation when $p$ is much larger than $n$ (2008)
Discussion of ``The Dantzig selector: Statistical estimation when $p$ is much larger than $n$'' [math/0506081]
Asymptotic efficiency of simple decisions for the compound decision problem (2008)
Greenshtein, Eitan, Ritov, Ya'acov
We consider the compound decision problem of estimating a vector of $n$ parameters, known up to a permutation, corresponding to $n$ independent observations, and discuss the difference between two...
Hierarchical selection of variables in sparse high-dimensional regression (2008)
Bickel, Peter J., Ritov, Ya'acov, Tsybakov, Alexander B.
We study a regression model with a huge number of interacting variables. We consider a specific approximation of the regression function under two ssumptions: (i) there exists a sparse representation...
Simultaneous analysis of Lasso and Dantzig selector (2008)
Bickel, Peter J., Ritov, Ya'acov, Tsybakov, Alexandre B.
We exhibit an approximate equivalence between the Lasso estimator and Dantzig selector. For both methods we derive parallel oracle inequalities for the prediction risk in the general nonparametric...
Douc, Randal, Moulines, Eric, Ritov, Ya'Acov
We give simple conditions that ensure exponential forgetting of the initial conditions of the filter for general state-space hidden Markov chain. The proofs are based on the coupling argument applied...
Douc, Randal, Moulines, Eric, Ritov, Ya'Acov
We give simple conditions that ensure exponential forgetting of the initial conditions of the filter for general state-space hidden Markov chain. The proofs are based on the coupling argument applied...
Douc, Randal, Moulines, Eric, Ritov, Ya'Acov
We give simple conditions that ensure exponential forgetting of the initial conditions of the filter for general state-space hidden Markov chain. The proofs are based on the coupling argument applied...
Tailor-made tests for goodness of fit to semiparametric hypotheses (2006)
Bickel, Peter J., Ritov, Ya'acov, Stoker, Thomas M.
We introduce a new framework for constructing tests of general semiparametric hypotheses which have nontrivial power on the $n^{-1/2}$ scale in every direction, and can be tailored to put substantial...
Greenshtein, Eitan, Ritov, Ya'Acov
Let $Z^i=(Y^i,X_1^i,\dots,X_m^i)$, $i=1,\dots,n$, be independent and identically distributed random vectors, $Z^i \sim F, \;F \in {\cal F}$. It is desired to predict Y by $\sum \beta_j X_j$, where...
Discussions of boosting papers, and rejoinders (2004)
Bartlett, Peter L., Bickel, Peter J., Bühlmann, Peter, Freund, Yoav, Friedman, Jerome, Hastie, Trevor, ...
Discussions of: "Process consistency for AdaBoost" [Ann. Statist. 32 (2004), no. 1, 13-29] by W. Jiang; "On the Bayes-risk consistency of regularized boosting methods" [ibid., 30-55] by G. Lugosi and...
Nonparametric estimators which can be "plugged-in" (2003)
Bickel, Peter J., Ritov, Ya'acov
We consider nonparametric estimation of an object such as a probability density or a regression function. Can such an estimator achieve the ratewise minimax rate of convergence on suitable function...
Greenshtein, Eitan, Ritov, Ya'Acov
Let $\{X_t\}$, $t\in \R$, , be a stochastic process. Suppose that the process may not be continuously observed, yet an inference which is related to its probabilistic parameters, or to its sample...
Sklan, Ella H., Lowenthal, Alexander, Korner, Mira, Ritov, Ya'acov, Landers, Daniel M., Rankinen, Tuomo, ...
Anxiety involves complex, incompletely understood interactions of genomic, environmental, and experience-derived factors, and is currently being measured by psychological criteria. Here, we report...
Sklan, Ella H., Lowenthal, Alexander, Korner, Mira, Ritov, Ya'acov, Landers, Daniel M., Rankinen, Tuomo, ...
Anxiety involves complex, incompletely understood interactions of genomic, environmental, and experience-derived factors, and is currently being measured by psychological criteria. Here, we report...
Ya'acov Ritov, Wolfgang Härdle
We consider two semiparametric models for the weight function in a biased sample model. The object of our interest parametrizes the weight function, and it is either Euclidean or non Euclidean. One...
Testing and the method of sieves
Bickel, Peter J., Ritov, Ya'Acov., Stoker, Peter J.
HD28 .M414 no.4028-98,
Accurate estimation of travel times from single-loop detectors
Petty, Karl F., Bickel, Peter, Ostland, Michael, Rice, John, Schoenberg, Frederic, Jiang, Jiming, ...
As advanced traveler information systems become increasingly prevalent the importance of accurately estimating link travel times grows. Unfortunately, the predominant source of highway traffic...