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A Witness Two-Sample Test
[article]
2022
arXiv
pre-print
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The Maximum Mean Discrepancy (MMD) has been the state-of-the-art nonparametric test for tackling the two-sample problem. ...
We show that 1) the new test is consistent and has a well-controlled type-I error; 2) the optimal witness function is given by a precision-weighted mean in the reproducing kernel Hilbert space associated ...
Benchmark
CONCLUSION We introduced a principled approach to learn optimal witness functions for two-sample testing. ...
arXiv:2102.05573v3
fatcat:arosby3ihvhuhkqpdwpnxh43eu
AutoML Two-Sample Test
[article]
2022
arXiv
pre-print
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We use a simple test that takes the mean discrepancy of a witness function as the test statistic and prove that minimizing a squared loss leads to a witness with optimal testing power. ...
We provide an implementation of the AutoML two-sample test in the Python package autotst. ...
Acknowledgments and Disclosure of Funding We thank Lisa Koch and Wittawat Jitkrittum for helpful discussions. ...
arXiv:2206.08843v1
fatcat:6diuvhxoxbgv5ajjcnahsaldte
Generative Models and Model Criticism via Optimized Maximum Mean Discrepancy
[article]
2021
arXiv
pre-print
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2017 pre-print arXiv:1611.04488v4 fatcat:siuflqhrinaenfjzywxryhod5iOther Versions
We propose a method to optimize the representation and distinguishability of samples from two probability distributions, by maximizing the estimated power of a statistical test based on the maximum mean ...
In the latter role, the optimized MMD is particularly helpful, as it gives an interpretable indication of how the model and data distributions differ, even in cases where individual model samples are not ...
ACKNOWLEDGEMENTS We would like to thank Tim Salimans, Ian Goodfellow, and Wojciech Zaremba for providing their code and for gracious assistance in using it, as well as Jeff Schneider for helpful discussions ...
arXiv:1611.04488v6
fatcat:xuzejsdiw5gunjv2fzkvtkkibu
Performance analysis of comercial simulation-based optimization packages: OptQuest and Witness Optimizer
2011
Proceedings of the 2011 Winter Simulation Conference (WSC)
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The objective of this study is to evaluate and compare two commercial simulation-based optimization packages, OptQuest and Witness Optimizer, to determine their relative performance based on the quality ...
In Section 3, two generic test problems, the pull manufacturing system and the inventory system, are described. The experimental design is explained in Section 4. ...
The two-sample-t test with = 0.05 indicates that there is no difference between them. ...
doi:10.1109/wsc.2011.6147946
dblp:conf/wsc/EskandariMFG11
fatcat:46v6ofb6prb2hnirjozv4lvgg4
Informative Features for Model Comparison
[article]
2018
arXiv
pre-print
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We propose two new statistical tests which are nonparametric, computationally efficient (runtime complexity is linear in the sample size), and interpretable. ...
Given two candidate models, and a set of target observations, we address the problem of measuring the relative goodness of fit of the two models. ...
The learning rate is set to 10 −3 (for both discriminator and generator in the two models). Some samples generated from the two trained models are shown in Figure 6 . ...
arXiv:1810.11630v1
fatcat:ogsh2onfcrflxms6warz2qdhju
Experimental demonstration of an efficient, semi-device-independent photonic indistinguishability witness
[article]
2021
arXiv
pre-print
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Existing indistinguishability witnesses may be vulnerable to implementation loopholes, showing the need for a measurement which depends on as few assumptions as possible. ...
Here, we introduce a semi-device-independent witness of photonic indistinguishability and measure it on an integrated photonic processor, certifying three-photon indistinguishability in a way that is insensitive ...
ACKNOWLEDGEMENTS We thank Mattia Walschaers for discussions. ...
arXiv:2112.00067v1
fatcat:odcwy2dymrdv5hds4y73u4irca
Neural Stein critics with staged L^2-regularization
[article]
2022
arXiv
pre-print
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While recent studies revealed that the optimal L^2-regularized Stein critic equals the difference of the score functions of two probability distributions up to a multiplicative constant, we investigate ...
Metrics that quantify the disparity in probability distributions, such as the Stein discrepancy, play an important role in statistical testing in high dimensions. ...
M.R. and Y.X. are supported by an NSF CAREER Award CCF-1650913, NSF DMS-2134037, CMMI-2015787, DMS-1938106, and DMS-1830210. ...
arXiv:2207.03406v1
fatcat:xxszyhm6zjgwlalqqqmcugvacy
Complete nonclassicality test with a photon-number-resolving detector
2012
Physical Review A. Atomic, Molecular, and Optical Physics
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2012 pre-print arXiv:1207.6097v1 fatcat:kcivytglpjdazlrxxkbziolgeqOther Versions
We present a method for the experimental measurement of nonclassicality witnesses and demonstrate its application. ...
This setup allows a complete test of nonclassicality of an arbitrary quantum state. The role of the quantum efficiency as well as statistical and systematic uncertainties are discussed. ...
In any case, the test procedure only requires photon-number resolved measurements in order to estimate the witness for an arbitrary amplitude α. ...
doi:10.1103/physreva.86.032119
fatcat:ani63633c5gdpjqa6b35t3cygu
Efficient verification of bosonic quantum channels via benchmarking
[article]
2019
arXiv
pre-print
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To this end, we construct an average-fidelity witness that yields a tight lower bound for average fidelity plus a general framework for verifying optimal quantum channels. ...
For both multi-mode unitary Gaussian channels and single-mode amplification channels, we present experimentally feasible average-fidelity witnesses and reliable verification schemes, for which sample complexity ...
As estimating the mean value of an average-fidelity witness is sampling the mean value of an unknown distribution, we use sampling complexities, instead of query complexities, from now on, to infer how ...
arXiv:1904.10682v1
fatcat:kgzrmz5bgjgfvmwk5yfbuuaeem
Using Full Field Data to Produce a Single Indentation Test for Fully Characterising the Mooney-Rivlin Material Model
2021
MATEC Web of Conferences
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This paper proposes a method of inverse finite element analysis operating under the assumption of equally objective function optimal planes or "hyper-planes". ...
A theoretical testing method for fully characterising the Mooney-Rivlin hyper-elastic material model is proposed by capturing full-field data, namely displacement field and indentation force data. ...
the two planes for the same indentation test at different depth the parameters are convergent. ...
doi:10.1051/matecconf/202134700029
fatcat:sgp6g5lyxbgvpfdjjv76gox6ky
Reduction of transient noise artifacts in gravitational-wave data using deep learning
[article]
2021
arXiv
pre-print
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Mitigation of glitches is crucial for improving GW signal detectability. ...
To increase the available data period and improve the detectability for both model and unmodeled GW signals, we present a new machine learning based method which uses on-site sensors/system-controls monitoring ...
The author would like to thank their LIGO Scientific Collaboration and Virgo Collaboration colleagues for their help and useful comments, in particular Yanyan ...
arXiv:2105.10522v2
fatcat:mgzfpbpczjcv7gy6tsknp5xgcq
Classification Logit Two-sample Testing by Neural Networks
[article]
2020
arXiv
pre-print
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This paper proposes a two-sample statistic which is the difference of the logit function, provided by a trained classification neural network, evaluated on the testing set split of the two datasets. ...
Network-based tests have the computational advantage that the algorithm scales to large samples. ...
We call f * the population witness function of the logit test. The witness function plays an important role in the ability of the test to distinguish two densities. ...
arXiv:1909.11298v2
fatcat:2slyeictivhuvghu2jnaexccze
RRP Nb$_{3}$Sn Strand Studies for LARP
2007
IEEE transactions on applied superconductivity
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Using strand billet qualification and tests of strands extracted from cables, the short sample limits of magnet performance were obtained. ...
The Nb 3 Sn strand chosen for the next step in the magnet R&D of the U.S. ...
ACKNOWLEDGMENT The authors thank Lance Cooley for his contribution to the heat treatment studies. ...
doi:10.1109/tasc.2007.899579
fatcat:gtl2ec2f6jebpnks2jz54az3ya
Learning to Superoptimize Real-world Programs
[article]
2022
arXiv
pre-print
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We created a dataset consisting of over 25K real-world x86-64 assembly functions mined from open-source projects and propose an approach, Self Imitation Learning for Optimization (SILO) that is easy to ...
Our method, SILO, superoptimizes 5.9% of our test set when compared with the gcc version 10.3 compiler's aggressive optimization level -O3. ...
For each input specification S i in B ex , we sample a model-predicted optimization Fi o , and execute Fi o on the I/O test suite {IO} K k=1 to compute the cost function C. ...
arXiv:2109.13498v2
fatcat:fp4j7bhiyja2vf7tctpcfj4u6y
Learning Proximal Operators to Discover Multiple Optima
[article]
2022
arXiv
pre-print
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We present an end-to-end method to learn the proximal operator across a family of non-convex problems, which can then be used to recover multiple solutions for unseen problems at test time. ...
We further present a benchmark for multi-solution optimization including a wide range of applications and evaluate our method to demonstrate its effectiveness. ...
We sample 1024 witnesses to compute WP δ t , averaged over 256 test problem instances. ...
arXiv:2201.11945v1
fatcat:fzet2z2ye5d6za5yimbrtjr5cy
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