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Time is a valuable resource and it seems intuitive that longer time should lead to better precision in Hamiltonian parameter estimation. However recent studies have put this intuition into question, showing longer time may even lead to…

Quantum Physics · Physics 2015-09-16 Haidong Yuan , Chi-Hang Fred Fung

Hamiltonian Monte Carlo (HMC) is a powerful Markov chain Monte Carlo (MCMC) method for performing approximate inference in complex probabilistic models of continuous variables. In common with many MCMC methods, however, the standard HMC…

Computation · Statistics 2017-04-12 Matthew M. Graham , Amos J. Storkey

This paper introduces a new parallel run-time for QuickCheck, a Haskell library and EDSL for specifying and randomly testing properties of programs. The new run-time can run multiple tests for a single property in parallel, using the…

Programming Languages · Computer Science 2024-04-26 Robert Krook , Nicholas Smallbone , Bo Joel Svensson , Koen Claessen

High dimensional sparse learning has imposed a great computational challenge to large scale data analysis. In this paper, we are interested in a broad class of sparse learning approaches formulated as linear programs parametrized by a {\em…

Machine Learning · Computer Science 2017-11-28 Haotian Pang , Robert Vanderbei , Han Liu , Tuo Zhao

Generalising the idea of the classical EM algorithm that is widely used for computing maximum likelihood estimates, we propose an EM-Control (EM-C) algorithm for solving multi-period finite time horizon stochastic control problems. The new…

Economics · Quantitative Finance 2016-11-08 Steven Kou , Xianhua Peng , Xingbo Xu

We investigate the use of matrix completion methods for time-series imputation. Specifically we consider low-rank completion of the block-Hankel matrix representation of a time-series. Simulation experiments are used to compare the method…

Methodology · Statistics 2024-08-06 Thomas Poudevigne , Owen Jones

The hybrid Monte Carlo (HMC) algorithm is a ubiquitous method in computational physics with applications ranging from condensed matter to lattice QCD and beyond. However, HMC simulations often suffer from long autocorrelation times,…

High Energy Physics - Lattice · Physics 2025-05-07 Johann Ostmeyer , Pavel Buividovich

We present a Hamiltonian Monte Carlo algorithm to sample from multivariate Gaussian distributions in which the target space is constrained by linear and quadratic inequalities or products thereof. The Hamiltonian equations of motion can be…

Computation · Statistics 2013-06-06 Ari Pakman , Liam Paninski

To find interesting items in genome-wide association studies or next generation sequencing data, a crucial point is to design powerful false discovery rate (FDR) controlling procedures that suitably combine discrete tests (typically…

Statistics Theory · Mathematics 2017-09-18 Sebastian Döhler , Guillermo Durand , Etienne Roquain

Parametric search has been widely used in geometric algorithms. Cole's improvement provides a way of saving a logarithmic factor in the running time over what is achievable using the standard method. Unfortunately, this improvement comes at…

Data Structures and Algorithms · Computer Science 2013-06-14 Michael T. Goodrich , Paweł Pszona

We study the Closest Pair Problem in Hamming metric, which asks to find the pair with the smallest Hamming distance in a collection of binary vectors. We give a new randomized algorithm for the problem on uniformly random input…

Data Structures and Algorithms · Computer Science 2021-12-08 Andre Esser , Robert Kübler , Floyd Zweydinger

Simultaneous inference allows for the exploration of data while deciding on criteria for proclaiming discoveries. It was recently proved that all admissible post-hoc inference methods for true discoveries must employ closed testing. In this…

Statistics Theory · Mathematics 2022-03-24 Jinjin Tian , Xu Chen , Eugene Katsevich , Jelle Goeman , Aaditya Ramdas

Biological research often involves testing a growing number of null hypotheses as new data is accumulated over time. We study the problem of online control of the familywise error rate (FWER), that is testing an apriori unbounded sequence…

Methodology · Statistics 2020-03-10 Jinjin Tian , Aaditya Ramdas

Numerical studies are presented to assess error estimates for a separable (Hartree) approximation for dynamically evolving composite quantum systems which exhibit distinct scales defined by their mass and frequency ratios. The relevant…

This paper presents a general framework for the design of linear controllers for linear systems subject to time-domain constraints. The design framework exploits sums-of-squares techniques to incorporate the time-domain constraints on…

Optimization and Control · Mathematics 2012-05-04 W. H. T. M. Aangenent , W. P. M. H. Heemels , M. J. G. Van De Molengraft , Didier Henrion , Maarten Steinbuch

The recently proposed soft finite element method (SoftFEM) reduces the stiffness (condition numbers), consequently improving the overall approximation accuracy. The method subtracts a least-square term that penalizes the gradient jumps…

Numerical Analysis · Mathematics 2024-02-27 Jipei Chen , Victor M. Calo , Quanling Deng

Can we make Bayesian posterior MCMC sampling more efficient when faced with very large datasets? We argue that computing the likelihood for N datapoints in the Metropolis-Hastings (MH) test to reach a single binary decision is…

Machine Learning · Computer Science 2014-02-17 Anoop Korattikara , Yutian Chen , Max Welling

Heteroskedasticity poses several methodological challenges in designing valid and powerful procedures for simultaneous testing of composite null hypotheses. In particular, the conventional practice of standardizing or re-scaling…

Methodology · Statistics 2025-09-04 Bowen Gang , Trambak Banerjee

This study addresses the centralized synthesis of distributed controllers using linear matrix inequalities (LMIs). Sparsity constraints on control gains of distributed controllers result in conservatism via the convexification of the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Sotaro Fushimi , Yuto Watanabe , Kazunori Sakurama

A popular method for variance reduction in observational causal inference is propensity-based trimming, the practice of removing units with extreme propensities from the sample. This practice has theoretical grounding when the data are…

Methodology · Statistics 2024-01-30 Samir Khan , Johan Ugander