What is a good reference book for Linear Algebra focusing on linear maps instead of matrices?

I am looking for a reference book on linear algebra that uses linear maps instead of matrices and uses Einstein summation notation. Thanks in advance for your help. Regards, Zubair

02 March 2019 1,597 11 View

Are there generalizations of Holographic principle(proposed by Susskind) to arbitrary dimensions?

The holographic principle by Susskind states that the maximum amount of information stored in a 3D volume can be dictated by its surface area. Thus, in some way the boundary encodes the...

01 February 2019 204 8 View

Is there any literature in machine learning that tries to design classifiers without the notion of metrics?

Is there any literature that focuses on design of the classifier theoretically, without considering metrics.

02 March 2018 5,235 4 View

What is the best starting place to learn about the philosophy of Mathematics?

Where to begin, if I want to learn about Philosophy of Mathematics, assuming no knowledge of Philosophy and a minimal knowledge of mathematics. Any resource particularly books and YouTube lecture...

10 November 2017 898 13 View

Kindly point to fast implentations of Cech Complexes for point clouds?

I am looking for an algorithm that constructs Cech Complex for point clouds. I am specifically looking for some thing in Mathematica but any resource would be very helpful. I am looking for...

08 September 2017 9,278 2 View

What is the correct mathematical structure to represent a digital image?

The digital image is a collection of values of sensors arranged in a grid. These sensors have a field of view in the original world. Then it generates a value based on the phenomena that it...

08 September 2017 2,037 6 View

What is a delta complex as used in algebraic topology. What advantges does this offer over the conventional complexes?

Some easy to understand references from the literature will be much appreciated. Thanks in advance for all the answer. Regards, Zubair

04 May 2017 449 4 View

What are the best software and libraries for computational topology?

04 May 2017 3,293 0 View

How can you construct a continuous function with a peak at point (x,y) and decaying monotonically away from the point in 2D?

There are also n directional derivative constraints in n arbitrary directions. An algebraic formula for such a function would be beneficial. The function is 2D function on the domain [0,1]x[0,1]

03 April 2017 1,692 4 View

What is the basic concept of quantitative topology and how does it differ from the conventional notion of topology?

What is quantitative topology and what quality of a topological space does it aim to quantify? Thank you for all the answers in advance

03 April 2017 3,038 4 View

Why should we choose deep learning to machine learning? Why is CNN better for image classification? Can I get Typical Answer?

What Characteristics makes CNN work better?

03 March 2021 1,458 4 View

What are some of the research gaps in machine learning and artificial intelligence in africa?

i would to know some of the research gaps in the artificial intelligence field in most african countries.

03 March 2021 6,145 3 View

Anyone plz suggest relevant topic for research in image processing+Deep learning.?

I have selected brain tumor images ...but now found that already lots of research done n this topic.

03 March 2021 5,774 3 View

How to increase a model accuracy ?

dear community, my model is based feature extraction from non stationary signals using discrete Wavelet Transform and then using statistical features then machine learning classifiers in order to...

03 March 2021 6,994 5 View

Can you share me how teacher education is managed in your respective national educational system?

I feel that the practice in teacher education in my country is below the expected performance level due to very poor management system. Hope I will learn something from your experiences.

02 March 2021 1,516 4 View

Can NFL theorem be valid in infinite search space in ML?

NFL theorem is valid for algorithms training in fixed training set. However, the general characteristic of algorithms in expanded or open dataset has not been proved yet. Could you show your...

01 March 2021 1,189 3 View

What is the difference between L1 and L2 regularization in machine learning?

L1 and L2 regularization

28 February 2021 4,187 3 View

How to eliminate Steady state error from Reinforcement learning genetic algorithm code?

The following code (see 1st 2 images attached) is used to produce PID controller values that are designed to control the system (G). The code finds the PID controller values (noted as k) by using...

28 February 2021 6,560 14 View

Is there any Machine Learning/AI algorithm that lets you predict with incomplete features without missing value imputation process?

For instance, the model is trained with A,B,C,D,E features to predict F target. Then, I want to make prediction on a new data, but with only A,C,D,E is known without doing missing value imputation...

28 February 2021 1,556 6 View

How can I represent SDS-PAGE results for machine learning analysis?

I am trying to classify and analyze the results of an SDS-PAGE based array for bacterial detection using machine learning, but I have trouble finding the best way to represent the results with...

27 February 2021 9,176 3 View