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Everything about Machine epsilon
Upper bound on rounding error in floating-point arithmetic
Machine epsilon or machine precision is an upper bound on the relative approximation error due to rounding in floating point number systems. This value characterizes computer arithmetic in the field of numerical analysis, and by extension in the subject of computational science. The quantity is also called macheps and it has the symbols Greek epsilon. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Machine epsilonA 5-minute orientation
- Skim a recent paper: Statistical-Based Optimal $\epsilon$-Stealthy Attack Under Stochastic Communication Protocol: An Application to Networked Permanent Magnet Synchronous Machine SystemsInfluential work since 2022
- Pick up a classic book: The Signal and the NoiseThe most-reprinted book on the subject
- Read the landmark paper: SOLUTION OF OPTIMAL CONTROL PROBLEMS ON A PARALLEL MACHINE USING THE EPSILON METHODCited 9 times
- Go sideways: Pairwise summationA closely related topic
- Go sideways: Kahan summation algorithmA closely related topic
đź“– Definitions
Noun An upper bound on the relative approximation error due to rounding in floating-point arithmetic, denoted by the symbol ε.
🏆 Landmark papers (most cited)
SOLUTION OF OPTIMAL CONTROL PROBLEMS ON A PARALLEL MACHINE USING THE EPSILON METHOD
Anomaly detection in complex system based on epsilon machine
Epsilon Oscillation Algorithm for the bi-objective green identical parallel machine scheduling problem
A comment on the Eispack machine epsilon routine
Fair machine learning through constrained stochastic optimization and an $$\epsilon$$-constraint method
Epsilon-Insensitive Primal Loss With Support Vector Machine for Robust Cotton Leaf Disease Classification
🆕 Influential since 2022
Statistical-Based Optimal $\epsilon$-Stealthy Attack Under Stochastic Communication Protocol: An Application to Networked Permanent Magnet Synchronous Machine Systems
Temporal memory in repeating fast radio bursts: Epsilon-machine reconstruction of causal structure in burst timing
Application of machine learning and optimization methods for long-term planning of production enhancement operations using Epsilon software package
đź“š Books worth reading
The Signal and the NoiseNate Silver · 2012
Introduction to automata theory, languages, and computationJohn E. Hopcroft, Jeffrey D. Ullman · 1979
Modern introduction to surface plasmonsDror Sarid · 2010- 📕Replacing model parameterization with epsilon machinesJay Palmer · 2000
Applications of multi-objective evolutionary algorithmsCarlos A. Coello Coello, Gary B. Lamont · 2004
Babylon 5 - Encounters with J. Michael Straczynski, Archived by the Great Machine of Epsilon 3J. Michael Straczynski, Joe Straczynski · 2014- 📕REPLACING MODEL PARAMETERIZATION WITH EPSILON MACHINES... NOAA TECHNICAL MEMORANDUM OAR ETL-297... U.S. DEPARTMENT OF COMMERCE... OCTOBER 19 · 2000
- 📕Modern introduction to surface plasmonsDror Sarid · 2010
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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