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19992026
most citedSparsistency and rates of convergence in large covariance matrix estimation

421 citations

Showing 2016Show all

47 papers · 1 filter

stat.ME2016★ 104 cited

Simultaneous multiple change-point and factor analysis for high-dimensional time series

Matteo Barigozzi, Haeran Cho, Piotr Fryzlewicz

We propose the first comprehensive treatment of high-dimensional time series factor models with multiple change-points in their second-order structure. We operate under the most fl…

math.PR2016★ 2 cited

-player games and mean field games with absorption

Luciano Campi, Markus Fischer

We introduce a simple class of mean field games with absorbing boundary over a finite time horizon. In the corresponding -player games, the evolution of players' states is descr…

math.CO2016★ 3 cited

Chromatic Numbers of Exact Distance Graphs

Jan van den Heuvel, H. A. Kierstead, Daniel A. Quiroz

For any graph and positive integer , the exact distance- graph is the graph with vertex set , which has an edge between vertices and i…

math.CO2016

Blow-up lemmas for sparse graphs

Peter Allen, Julia Böttcher, Hiep Hàn +2

The blow-up lemma states that a system of super-regular pairs contains all bounded degree spanning graphs as subgraphs that embed into a corresponding system of complete pairs. Thi…

stat.ME2016★ 88 cited

High-dimensional variable selection via tilting

Haeran Cho, Piotr Fryzlewicz

The paper considers variable selection in linear regression models where the number of covariates is possibly much larger than the number of observations. High dimensionality of th…

stat.ME2016★ 264 cited

Multiple-change-point detection for high dimensional time series via sparsified binary segmentation

Haeran Cho, Piotr Fryzlewicz

Time series segmentation, a.k.a. multiple change-point detection, is a well-established problem. However, few solutions are designed specifically for high-dimensional situations. I…

stat.ME2016★ 23 cited

Multiscale interpretation of taut string estimation and its connection to Unbalanced Haar wavelets

Haeran Cho, Piotr Fryzlewicz

We compare two state-of-the-art non-linear techniques for nonparametric function estimation via piecewise constant approximation: the taut string and the Unbalanced Haar methods. W…

stat.ME2016★ 110 cited

Modelling and forecasting daily electricity load curves: a hybrid approach

Haeran Cho, Yannig Goude, Xavier Brossat +1

We propose a hybrid approach for the modelling and the short-term forecasting of electricity loads. Two building blocks of our approach are (i) modelling the overall trend and seas…

math.ST2016

On Wigner-Ville Spectra and the Unicity of Time-Varying Quantile-Based Spectral Densities

Stefan Birr, Holger Dette, Marc Hallin +2

The unicity of the time-varying quantile-based spectrum proposed in Birr et al. (2016) is established via an asymptotic representation result involving Wigner-Ville spectra.

math.ST2016★ 27 cited

Local M-estimation with Discontinuous Criterion for Dependent and Limited Observations

Myung Hwan Seo, Taisuke Otsu

This paper examines asymptotic properties of local M-estimators under three sets of high-level conditions. These conditions are sufficiently general to cover the minimum volume pre…

math.CO2016★ 15 cited

Extremes of the internal energy of the Potts model on cubic graphs

Ewan Davies, Matthew Jenssen, Will Perkins +1

We prove tight upper and lower bounds on the internal energy per particle (expected number of monochromatic edges per vertex) in the anti-ferromagnetic Potts model on cubic graphs…

math.ST2016

Bounds for the normal approximation of the maximum likelihood estimator from m-dependent random variables

Andreas Anastasiou

The asymptotic normality of the Maximum Likelihood Estimator (MLE) is a long established result. Explicit bounds for the distributional distance between the distribution of the MLE…

stat.ME2016★ 3 cited

Krigings Over Space and Time Based on Latent Low-Dimensional Structures

Da Huang, Qiwei Yao, Rongmao Zhang

We propose a new approach to represent nonparametrically the linear dependence structure of a spatio-temporal process in terms of latent common factors. Though it is formally simil…

stat.ME2016★ 146 cited

Narrowest-Over-Threshold Detection of Multiple Change-points and Change-point-like Features

Rafal Baranowski, Yining Chen, Piotr Fryzlewicz

We propose a new, generic and flexible methodology for nonparametric function estimation, in which we first estimate the number and locations of any features that may be present in…

q-fin.MF2016

Shadow prices, fractional Brownian motion, and portfolio optimisation under transaction costs

Christoph Czichowsky, Rémi Peyre, Walter Schachermayer +1

We continue the analysis of our previous paper (Czichowsky/Schachermayer/Yang 2014) pertaining to the existence of a shadow price process for portfolio optimisation under proportio…

math.MG2016★ 8 cited

Arrangements of homothets of a convex body

Márton Naszódi, János Pach, Konrad Swanepoel

Answering a question of Füredi and Loeb (1994), we show that the maximum number of pairwise intersecting homothets of a -dimensional centrally symmetric convex body , none of…

stat.ME2016★ 52 cited

Testing for high-dimensional white noise using maximum cross-correlations

Jinyuan Chang, Qiwei Yao, Wen Zhou

We propose a new omnibus test for vector white noise using the maximum absolute auto-correlations and cross-correlations of the component series. Based on the newly established app…

math.CO2016★ 8 cited

Almost all trees are almost graceful

Anna Adamaszek, Peter Allen, Codrut Grosu +1

The Graceful Tree Conjecture of Rosa from 1967 asserts that the vertices of each tree T of order n can be injectively labelled by using the numbers {1,2,...,n} in such a way that t…

math.OC2016★ 11 cited

An Investment Model with Switching Costs and the Option to Abandon

Mihail Zervos, Carlos Oliveira, Kate Duckworth

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payo…

math.CO2016★ 9 cited

On sets defining few ordinary circles

Aaron Lin, Mehdi Makhul, Hossein Nassajian Mojarrad +3

An ordinary circle of a set of points in the plane is defined as a circle that contains exactly three points of . We show that if is not contained in a line or a cir…

cs.GT2016

Best-Response Dynamics in Combinatorial Auctions with Item Bidding

Paul Dütting, Thomas Kesselheim

In a combinatorial auction with item bidding, agents participate in multiple single-item second-price auctions at once. As some items might be substitutes, agents need to strategiz…

math.GN2016★ 3 cited

Beyond Lebesgue and Baire IV: Density topologies and a converse Steinhaus-Weil Theorem

N. H. Bingham, A. J. Ostaszewski

The theme here is category-measure duality, in the context of a topological group. One can often handle the (Baire) category case and the (Lebesgue, or Haar) measure cases together…

q-fin.PM2016★ 20 cited

Replica approach to mean-variance portfolio optimization

Istvan Varga-Haszonits, Fabio Caccioli, Imre Kondor

We consider the problem of mean-variance portfolio optimization for a generic covariance matrix subject to the budget constraint and the constraint for the expected return, with th…

math.GN2016★ 9 cited

Effros, Baire, Steinhaus and Non-Separability

A. J. Ostaszewski

We give a short proof of an improved version of the Effros Open Mapping Principle via a shift-compactness theorem (also with a short proof), involving `sequential analysis' rather…