Questions tagged [error-estimation]
The error-estimation tag has no usage guidance.
8
questions with no upvoted or accepted answers
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197 views
What is the state of the algorithmic art for floating point arithmetic on complex numbers?
Most modern compilers and processors implement the IEEE 754 binary formats for floating point numbers. IEEE 754 guarantees that the addition, subtraction, multiplication, division, and square root ...
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0answers
50 views
Compile-time error control vs. interval arithmetic?
I use interval arithmetic for reliable computing. Now, a procedure coded in a good implementation of interval arithmetic takes perhaps about eight times as much as the same procedure carried out ...
3
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0answers
25 views
Numerical Stability of Halley's Recurrence for Integer $n^{\mathrm{th}}$-Root
tl;dr? See last paragraph.
If I use the initial value $2^{\left(\big\lfloor\lfloor\log_2 x \rfloor/n\big\rfloor + 1\right)}$ with Halley's recurrence in the compact form
$ x_{k+1} = \frac{x_k\Big[A\...
3
votes
0answers
114 views
Representing Computations on Transcendental Numbers
Consider the set of transcendental numbers that are not compressible to a finite base-2 representation. How can I compute multiples (more generally, any algebraic computation) of one of these numbers,...
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13 views
Double Write After Write Dependency in out-of-order/in-order executions
What is going to happen when we have a WAW(write after write) dependency which consists of two consecutive WRITE instructions into the same register.
We know we can solve a simple WAW dependency by ...
0
votes
0answers
24 views
minimal distance of a self correcting code
i wonder: how can i find minimal distance of a self correcting code in following situation: if we know that a code can fix every 3 errors(if not more than 3 errors, the word is recovered) and can ...
0
votes
0answers
42 views
Q-Learning Error Bounds
I have searched a lot for this, but apparently there is no result on calculating any bound on the error $||Q-Q^*||$ when I stop Q-learning after say $N$ iterations ($Q$ is the vector of Q-values at ...
0
votes
1answer
170 views
Computing the error bound of floating-point expression
How should I compute the maximum absolute and relative error of the following IEEE-754 floating-point expression?
a.y + (x - a.x) * ((b.y - a.y) / (b.x - a.x))
...
