Body: <p>I'm using ML to approximate multidimensional recurrence relations, and am wondering where there are any well known or commonly used multidimensional recurrence relations.</p>
  <p>E.g. for a 3D array where every data point is a 2x2 grid, it would look something like this:
  <span class="math-container">$$x_{0, 0, t}=x_{0,0,t-1}\times x_{0,1,t-2}$$</span>
  And so on and so forth for <span class="math-container">$x_{0,1,t},x_{1,0,t},$</span> and <span class="math-container">$x_{1,1,t}$</span>.</p>
  <p>Thanks in advance.</p>
  
Comments.ContentLicense: CC BY-SA 4.0
Comments.CreationDate: 2024-07-26T21:54:20.753Z
Comments.Text: Is [Autoregressive_model](https://en.wikipedia.org/wiki/Autoregressive_model) you're looking for your described vector time series autoregression purpose? You can simply view your 2 by 2 grid data point at each time step as a vector tuple of length 4.
Comments.UserDisplayName: cinch
Comments.ContentLicense: CC BY-SA 4.0
Comments.CreationDate: 2024-07-28T02:37:37.857Z
Comments.Text: Yes I will be flattening the data but I need some data to flatten first
Comments.UserDisplayName: wenbang
Comments.ContentLicense: CC BY-SA 4.0
Comments.CreationDate: 2024-07-28T02:41:56.550Z
Comments.Text: What do you mean *"I need some data to flatten first"*? Of course any ML training needs training/test splitted data first, thus you need the flattened data before choosing a ML model implicitly. So you confirmed autoregressive model is the answer for your question?
Comments.UserDisplayName: cinch
Comments.ContentLicense: CC BY-SA 4.0
Comments.CreationDate: 2024-07-28T02:50:52.400Z
Comments.Text: no, I am looking for a dataset - I already have a model that works with really simple recurrence relations like xt-1_0 = xt-2_1 * 2, I am just looking for more well known ones
Comments.UserDisplayName: wenbang
Tags: <neural-networks><machine-learning><datasets>
Title: Well known multidimensional recurrence relations/sequences
UserDisplayName: wenbang
ThreadText: # Well known multidimensional recurrence relations/sequences
  
  (Asked by: username_0 on 2024-07-26)
  
  I'm using ML to approximate multidimensional recurrence relations, and am wondering where there are any well known or commonly used multidimensional recurrence relations.
  
  E.g. for a 3D array where every data point is a 2x2 grid, it would look something like this:
  $$x\_{0, 0, t}=x\_{0,0,t-1}\times x\_{0,1,t-2}$$
  And so on and so forth for $x\_{0,1,t},x\_{1,0,t},$ and $x\_{1,1,t}$.
  
  Thanks in advance.
  
  **Tags:** neural-networks, machine-learning, datasets
  > **Comments:**
  > **username_1**: Is [Autoregressive_model](https://en.wikipedia.org/wiki/Autoregressive_model) you're looking for your described vector time series autoregression purpose? You can simply view your 2 by 2 grid data point at each time step as a vector tuple of length 4.  
  > **username_0**: Yes I will be flattening the data but I need some data to flatten first  
  > **username_1**: What do you mean *"I need some data to flatten first"*? Of course any ML training needs training/test splitted data first, thus you need the flattened data before choosing a ML model implicitly. So you confirmed autoregressive model is the answer for your question?  
  > **username_0**: no, I am looking for a dataset - I already have a model that works with really simple recurrence relations like xt-1_0 = xt-2_1 * 2, I am just looking for more well known ones  
  
  ---
  
  ## 0 answers
  
  