# Questions tagged [encoding-scheme]

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### Messy Representation Encoding example

I am currently working through Metaheuristics by El-Ghazali Talbi where he discusses encodings of algorithms. "Messy representations: In linear representations of fixed length, the semantics of ...
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### Intuitive explanation on why stochastic encoding performs better in channel coding

I am a little confused about stochastic encoding in channel coding. For example, in the identification problem (R. Ahlswede and G. Dueck, “Identification via channels”), the authors claim that we can ...
55 views

### What is “orthogonality” in the context of Instruction Encoding?

What does it mean by "orthogonality" in the context of Instruction Encoding? Why CISC Architecture is orthogonal while RISC is not?
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### How can I optimise a 8b10b encoding for maximum alignment?

Imagine you encode an 8 bit symbol as a 10 bit symbol that is sent sequentially over a wire. The goal at the receiver is to detect the byte boundary. Since there are 4 times more encoded symbols than ...
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### Card Shuffling, Bounding Mixing time using Paths and Flows

I've been struggling with a problem that is very similar to a 2014 question posted here. The question in particular is 3(1) and 3(2). To paraphrase, we are supposed to use paths and an encoding ...
64 views

### Error detection code supporting arithmetic

I am looking for error detection codes, which support addition in the encoded domain and are separate (a tuple of ($N$, $R(N)$), where $N$ denotes the functional value and $R(N)$ its redundancy). So ...
713 views

### Encoding Turing machines in binary in a simple way that gurarentee unique readability

I may come across something like (let $X$ be a binary representation of a Turing machine $M$), I know that we can easily encode the description of the machine as sequence of numbers (by assigning a ...
53 views

### Typed representation of a memory model

Assume a simple procedural language, where statements write and read from local memory via references and procedures accept arguments of n different scalar types (say floats, ints and strings) and ...
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### How do I compress data vectors in broadcast messages?

Let us model a wireless broadcast network as an undirected graph $G(V,E)$ where there is an edge between every pair of nodes ${i,j}\in V$ if they are in transmission range of each other. $w_{i\to j}$ ...
43 views

### Base-N encoding with smallest output

I have a set of bytes (utf-8), and need to encode them into the smallest dataset possible using a Base N encoding scheme. Is it simply the higher the Base N encoding is (ie something like Base85 ...
57 views

### Difference between a regular and a stationary source?

As far as I understand a stationary source is a regular source but it's not necessarily true the other way around. And a stationary source is a source for which its distribution is unaffected by a "...
239 views

### Number of unique prefixes in canonical huffman tree

I am trying to implement decompression algorithm based on huffman trees. I am trying to validate my assumptions. Assume that you have alphabet of 350 symbols. Maximum encoded code length is 15 bits. ...
87 views

### Byte Stuffing, escaping a flag at maximum frame

I want to encode a message using byte stuffing where every frame delimited by a flag byte 'F' at both ends and escape code equal to the character E. I am trying to encode the message 'DEEP-FRIED-...
186 views

### How to encode each possible b-tree of a sequence of n numbers?

Lehmer codes can be used to encode each possible permutation of a sequence of n numbers. Often the main goal is just to map a range of numbers from 1 to x to the possible permutations of a sequence of ...
91 views

### Is the halting problem a matter of an encoding scheme ?

I was reading about the halting problem recently, there is a video on youtube where it tries to explain the halting problem easily (since it is complicated to explain). So, (A,C & H) have ...
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### Epsilon balanced Code

A linear code is termed as an $\epsilon -$balanced code if all the codewords are having fractional hamming weight $\in (1/2-\epsilon,1/2+\epsilon)$. I want to show that for every $\epsilon\in (0,1/2)$,...
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### Radix Economy of Complex Bases

If we extend the allowed bases for a numerical system to the complex numbers, is e still the most economic base? If not, what would it be? There's the well-known formula for radix economy: Where b is ...
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### Encoding a lot of categorical variables

I have 10 million categorical variables (each variable has 3 categories). What is the best way to encode these 10 million variables to train a deep learning model on them? (If I use one hot encoding, ...
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### Encoding a arbitrary stack trace into a fixed length value

Background I would like to store the nodes of a Calling Context Tree using in a key value store. I need to be able to directly access a node by it's method name and complete stack trace. In addition ...
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I have $m$ equations of the following form: $$x_1+x_2+\cdots+x_n=s,$$ where each variable is either 1 or 0, and the total number of variables is $m\approx3{,}000$. So I’m thinking of modeling each ...