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

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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 1,805 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 394 8 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 1,117 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 9,470 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 2,240 6 View

What are the best software and libraries for computational topology?

What software and libraries are best for computational topology. A good reference book will also be appreciated. Thanks in advance for these answers. Regards, Zubair

04 May 2017 3,491 0 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 685 4 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 1,882 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 3,266 4 View

How to completly specify the holes in a topological Space?

Homology groups some times fail to capture all the holes. What are the ways in which all the holes in any topological surface can be specified. Thanks in advance for your answers!!!

31 December 2016 2,275 4 View

Feedback defines the constitution of an organism?

“Here is a thought experiment. Let's place Rodolpho Llinas's jarred-brain on top of a body (Fig. 1). I bet Llinas would argue that his jarred-brain retains its own consciousness, and the android...

11 August 2024 2,483 1 View

What is the difference between mathematical R^4 space and physical 4D unit space?

We assume that the difference is huge and that it is not possible to compare the two spaces. The R^4 mathematical space considers time as an external controller and the space itself is immobile in...

10 August 2024 6,678 14 View

Self-Organizing Superorganisms—as envisaged by Nenad Sestan (2018)?

The rate of glucose consumption by the neocortex is reduced by over 80% during anesthesia (Sibson et al. 1998), which disables the synapses (Richards 2002) that are inundated by glial tissue (Engl...

08 August 2024 3,118 0 View

Is it possible to plot the atom-projected band structure using GPAW?

Hi, I'm currently working on a project where I need to plot the atom-projected band structure using GPAW. I've been able to calculate the band structure for my material, but I'm having trouble...

07 August 2024 269 3 View

Should I include H atom into C3N5 when i am doing DFT modelling?

Hi all, my experimental XPS results shown that my C3N5 sample consists of N-H bond, hence in this case I should incorporate the N-H bond into my DFT modelling. However, I do notice several papers...

07 August 2024 8,414 2 View

How to normalize and take the significance of the MTT OD values with 3 replicates for the same cell-line?

Hi, I have a question about normalizing the MTT OD values for doing the statistical analysis. So, if we have 3 different plates and we call them 3 different replicates, so, first we would...

07 August 2024 8,106 4 View

Are there any good simple systems or platforms to recommend?

In order to show people the beauty of control and enhance enthusiasm for learning control theories, are there any good simple systems or platforms to recommend?

05 August 2024 10,034 1 View

Measuring the Intelligence of a Species?

Larger brains, which typically contain more neurons, store and transfer more information (Tehovnik and Chen 2015), but the precise relationship between number of neurons and information has yet to...

05 August 2024 1,238 2 View

If we are using snowball sampling technique, how do we justify the true representativeness of the sample statistically? is there any statistical test?

Are there any statistical methods to justify your sampling technique using SPSS or AMOS?

05 August 2024 9,153 4 View

How can i do multivariate Time Series forecast using MLP, ANFIS and LSTM?

I need the python code to forecast what crop production will be in the next decade considering climate and crop production variables as seen in the attached.csv file.

05 August 2024 2,977 3 View