5
votes
0answers
40 views

Careers in applied math with an MS other than in finance and data/machine learning?

Since I like math, I would like a career that uses alot of applied math. I'm about to complete my Master's and could do my thesis in numerical solutions of PDEs I'm already aware of careers such as ...
0
votes
1answer
99 views

Gradient descent (with line search) for convex functions viewed as alternation

I have fundamental confusion about gradient descent (with line search) and the reason it works. I try to explain my view here, and please tell me where it goes wrong. Let $f: \mathbb{R}^n \to ...
2
votes
0answers
64 views

Numerically approximate the maximum of an element of a vector after a series of matrix multiplications.

Where S is a sigmoidal function, A_i is a matrix, and x is an input vector, and ...
2
votes
1answer
201 views

What is the difference between Curve Fitting and Regression(Machine Learning)?

I know that Machine Learning regression algorithms try to find the function of the data. That is, if we have 1000 data points (x,y), to find a general continuous function that follows the trends of ...
8
votes
1answer
183 views

Stochastic gradient descent for convex optimization

What happens if a convex objective is optimized by stochastic gradient descent? Is a global solution achieved?
0
votes
0answers
48 views

Please help me about conjugate gradient method

As I know, the error function of neural network is the sum of difference between actual output and the target value. But in conjugate gradient method, they use quadratic function: $E(w) = \frac{1}{2} ...
1
vote
1answer
308 views

What is a 4-8 mesh?

A paper I'm reading uses this classification for a mesh, but I'm not sure what the numbers 4 and 8 signify. Could someone clarify? Here's an image from the paper of a 4-8 mesh.
5
votes
1answer
602 views

Kullback-Leibler divergence based kernel

I'm looking to paper "A Kullback-Leibler Divergence Based Kernel for SVM Classification in Multimedia Applications". Author suggest to use kernel function for two distributions $p$ and $q$: $k(p,q)= ...