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Comparing two probability measures supported on heterogeneous spaces is an increasingly important problem in machine learning. Such problems arise when comparing for instance two populations of biological cells, each described with its own…

Machine Learning · Statistics 2021-02-11 Ryoma Sato , Marco Cuturi , Makoto Yamada , Hisashi Kashima

Classical results in asymptotic statistics show that the Fisher information matrix controls the difficulty of estimating a statistical model from observed data. In this work, we introduce a companion measure of robustness of an estimation…

Statistics Theory · Mathematics 2026-02-10 Joshua Cutler , Mateo Díaz , Dmitriy Drusvyatskiy

Statistical divergences are important tools in data analysis, information theory, and statistical physics, and there exist well known inequalities on their bounds. However, in many circumstances involving temporal evolution, one needs…

Data Analysis, Statistics and Probability · Physics 2025-03-25 Jan Karbowski

Accurate estimation and forecasting of energy consumption are important for power-system operation, planning, and demand-side management. In practice, however, complete and timely measurements may not always be available, and the observed…

Machine Learning · Computer Science 2026-05-29 Ruoyu Hu , Dahai Yu , Feng Bao , Guang Wang , Guannan Zhang

The last two decades have seen tremendous growth in data collections because of the realization of recent technologies, including the internet of things (IoT), E-Health, industrial IoT 4.0, autonomous vehicles, etc. The challenge of data…

Information Theory · Computer Science 2022-10-03 Vidhi Agrawal , Gajraj Kuldeep , Dhananjoy Dey

We propose a new, computationally efficient, sparsity adaptive changepoint estimator for detecting changes in unknown subsets of a high-dimensional data sequence. Assuming the data sequence is Gaussian, we prove that the new method…

Methodology · Statistics 2023-11-27 Per August Jarval Moen , Ingrid Kristine Glad , Martin Tveten

Although for the most part classical, the topic of electrostatics finds to this day new applications. In this review we highlight several theoretical results on electrostatics, chosen to both illustrate general principles, and for their…

Mathematical Physics · Physics 2026-03-04 Sung-Soo Byun , Peter J. Forrester

Existing Python libraries and tools lack the ability to efficiently compute statistical test results for large datasets in the presence of missing values. This presents an issue as soon as constraints on runtime and memory availability…

Mathematical Software · Computer Science 2025-05-02 Fabian Woller , Lis Arend , Christian Fuchsberger , Markus List , David B. Blumenthal

We study continuity, and lack thereof, of thermodynamical properties for one-dimensional dynamical systems. Under quite general hypotheses, the free energy is shown to be almost upper-semicontinuous: some normalised component of a limit…

Dynamical Systems · Mathematics 2020-03-13 Neil Dobbs , Mike Todd

The basic notions of statistical mechanics (microstates, multiplicities) are quite simple, but understanding how the second law arises from these ideas requires working with cumbersomely large numbers. To avoid getting bogged down in…

Physics Education · Physics 2015-02-27 Thomas A. Moore , Daniel V. Schroeder

We present R package mnlogit for training multinomial logistic regression models, particularly those involving a large number of classes and features. Compared to existing software, mnlogit offers speedups of 10x-50x for modestly sized…

Computation · Statistics 2014-09-17 Asad Hasan , Wang Zhiyu , Alireza S. Mahani

Chemical reactions are often associated with an energy barrier along the reaction pathway which hinders the spontaneity of the reaction. Changing the energy barrier along the reaction pathway allows one to modulate the performance of a…

Computational Physics · Physics 2018-09-26 Sudipta Kundu , Satadeep Bhattacharjee , Seung-Cheol Lee , Manish Jain

In this paper numerical methods of computing distances between two Radon measures on R are discussed. Efficient algorithms for Wasserstein-type metrics are provided. In particular, we propose a novel algorithm to compute the flat metric…

Numerical Analysis · Mathematics 2013-04-15 Jedrzej Jablonski , Anna Marciniak-Czochra

Energies with high-order non-submodular interactions have been shown to be very useful in vision due to their high modeling power. Optimization of such energies, however, is generally NP-hard. A naive approach that works for small problem…

Computer Vision and Pattern Recognition · Computer Science 2013-10-09 Carl Olsson , Johannes Ulen , Yuri Boykov , Vladimir Kolmogorov

Estimating sample size and statistical power is an essential part of a good study design. This R package allows users to conduct power analysis based on Monte Carlo simulations in settings in which consideration of the correlations between…

Methodology · Statistics 2024-04-16 Phuc H. Nguyen , Stephanie M. Engel , Amy H. Herring

This paper presents EnergyAnalyzer, a code-level static analysis tool for estimating the energy consumption of embedded software based on statically predictable hardware events. The tool utilises techniques usually used for worst-case…

Software Engineering · Computer Science 2023-08-07 Simon Wegener , Kris K. Nikov , Jose Nunez-Yanez , Kerstin Eder

Providing situational awareness in light of severe coordinated cyber-attacks on power grids, where many measurements may be untrusted, is necessary for reliable monitoring and resilient operation of the grid. In this scenario, the set of…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Ana Jevtić , Marija Ilić

Stochastic Thermodynamics (ST) extends the notions of classical thermodynamics to trajectories taken from a nonequilibrium ensemble. This extension yields a simple approach to fluctuation relations in small systems. Multiple time- and…

Statistical Mechanics · Physics 2012-10-19 Bernhard Altaner

Parallel computing in Gaussian process calculations becomes necessary for avoiding computational and memory restrictions associated with large-scale environmental data science applications. The evaluation of the Gaussian log-likelihood…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-19 Sameh Abdulah , Yuxiao Li , Jian Cao , Hatem Ltaief , David E. Keyes , Marc G. Genton , Ying Sun

Power consumption in data centers has been growing significantly in recent years. To reduce power, servers are being equipped with increasingly sophisticated power management mechanisms. Different mechanisms offer dramatically different…

Performance · Computer Science 2014-04-22 Yanpei Liu , Stark C. Draper , Nam Sung Kim