Questions tagged [mathematics]
Mathematics in a data science or machine learning context refers to the mathematical underpinnings for algorithms, optimization, statistics, and linear algebra etc.
231 questions
0 votes
0 answers
29 views
Repeated Measures Correlation Question
I am currently using repeated measures correlation to calculate the correlation between 2 variables in repeated measures data link to paper On the paper, equation 4 denotes how repeated measures ...
4 votes
1 answer
71 views
Are lag vectors in time series MLE just measurable functions in Newey & McFadden’s ergodic ULLN?
In Newey & McFadden (1994), Large Sample Estimation and Hypothesis Testing (Handbook of Econometrics, Ch. 36), they extend ULLN results from i.i.d. data to stationary ergodic sequences, e.g.: “...
5 votes
1 answer
99 views
How to normalize bounding box sizes in perspective transform for objects at different distances from the camera
I’m working on an object detection system and I'm new to this field. Here i'm talking with respect to camera point of view. When a object is detected which is far from the camera, it appears small and ...
6 votes
1 answer
146 views
Evaluate the rotation of a polygon based on a reference polygon
In the context of machine vision, I need to evaluate the rotation of a polygon recognized on an image based on a reference polygon. This is better explained with a picture: The reference polygon is ...
2 votes
0 answers
51 views
Reducing loss of multiclass classication problem
I have been reading a paper in which they theoretically showed existence of a Neural network model that can perform a algorithm which involves selection of stencils with 100% accuracy. So they ...
0 votes
1 answer
69 views
Sparse Categorical accuracy shown incorrectly
I am trying to replicate a multiclass classification problem of a paper I am reading. So they provided with the exact matrices and bias vector values and have proved in the paper why there will 100% ...
3 votes
1 answer
101 views
Looking for a better way to calculate positive rate of combinations' sum
Suppose you have a list of float numbers with a size of 10, and you choose 5 numbers out of such list and sum them up to form a new number, generating all possible combinations now you have a new list ...
0 votes
0 answers
23 views
I am solving a problem with RK4 in python i have almost solve but results are not matching. Anyone can please guide me?
his is the paper's DOI: 10.1017/S0022112003003835, system is on page 190 and procedure is on page 191. ...
2 votes
0 answers
59 views
Effect of objective function's Hessian's condition number on learning rate in Gradient Descent
I'm following Ian Goodfellow et al. book titled Deep Learning, and in Chapter 4 - Numerical Computation, page 87, he mentions that by utilising second order Taylor approximation of the objective ...
0 votes
0 answers
30 views
Graph Autoencoder of arbitrary node size, how to decode?
I’m building a graph autoencoder capable of generating embeddings for graphs of arbitrary size. Most of the literature I’ve read focuses on fixed-size node graphs, which doesn’t quite meet my ...
2 votes
0 answers
43 views
Why might transforming my features improve the performance on a simple decision tree?
The features & target in my dataset are very skewed. Could anyone explain why transforming the features & target (I'm using a Yeo-Johnson transformation) is significantly improving the ...
1 vote
0 answers
72 views
I need some advice about working as Mathematical Modeler/Data scientist [closed]
I have 10 years experience in studying mathematics in University, and I've just finished my Masters degree I have some experience with LaTeX and Mathematica, what do I need to study to be able to ...
3 votes
1 answer
114 views
How to analyze time series data and create time series model in Python?
I am trying to understand time-series data and model. In youtube tutorial and others, mostly univariate examples are shown. And they are applicable or suitable for those conditions. What if our ...
2 votes
1 answer
630 views
Diffusion Models: Conditioning on Time vs. Noise Level
I am new to SE-Data Science, therefore I hope this is the right place to ask this rather theoretical question. In diffusion models we usually have a time variable which determines the noise schedule (...
2 votes
1 answer
48 views
Does performing k-NN on the centroids of clusters obtained from k-means make sense mathematically?
While playing around with some text embeddings, I used k-means clustering to get 4 clusters. I also have the labels for these embeddings, and I may simply use k-NN to classify new embeddings. However, ...