Questions tagged [machine-learning]

How can we build computer systems that automatically improve with experience, and what are the fundamental laws that govern all learning processes?

From The Discipline of Machine Learning by Tom Mitchell:

The field of Machine Learning seeks to answer the question "How can we build computer systems that automatically improve with experience, and what are the fundamental laws that govern all learning processes?" This question covers a broad range of learning tasks, such as how to design autonomous mobile robots that learn to navigate from their own experience, how to data mine historical medical records to learn which future patients will respond best to which treatments, and how to build search engines that automatically customize to their user's interests. To be more precise, we say that a machine learns with respect to a particular task T, performance metric P, and type of experience E, if the system reliably improves its performance P at task T, following experience E. Depending on how we specify T, P, and E, the learning task might also be called by names such as data mining, autonomous discovery, database updating, programming by example, etc.

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Suitable references?

I am working on functional analysis and in particular in operator algebras. I heard about machine learning but I would like strongly to know much more. I am looking for some books, texts, ... which lead me to understand what the story is. Indeed …
ABB
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Cost function simplifacitons

Suppose I have a function $C(v_1,v_2)$. Which is a cost function. I have that: $$\Delta C \approx \frac{\partial C}{\partial v_1}\Delta v_1 + \frac{\partial C}{\partial v_2}\Delta v_2$$ Now $\triangledown C = \left[ \frac{\partial C}{\partial v_1} \…
Naz
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Calculating similarity of sets of variable length

If I have two sets, i can calculate similarity coefficient of them using Jaccard index. Is there algorithm i can calculate similarity with variable number of entities? For example, let's say we have first pair of sets: {A1,B1,C1} and…
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Support vector machine, dimension reduction of hyper plane

Question I have this question as an assigned task. In 2D the points are {2,4},{1,1},{5,25}{5,25}. I don't know how to officially calculate the optimal separation hyperplane between them, but from the way I did it was to draw a vector from {2,4} to…
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Two different ways to compute PCA?

I am working on the PCA. On the internet I found two different ways to compute it - but they produce different results. First there is this solution: http://stanford.io/2060AxA . They are taking the mean out, doing $$ \Sigma = \frac{1}{m}…
user302614
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Determine functional by ML

In machine learning regression is usually used to determine the mapping $f(x)$ when you know some values $y$. However I was wondering if some research is already done on determining a functional. Essentially having a function as input, instead of a…
Fork2
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Exact Procedure for KNN classification

I want to know the exact procedure involved in KNN classification. I understand the bigger picture but I miss the details to implement. I have 3 pieces of data: Train, Validate and Test. 1) Suppose we have training points $x_1, x_2,\dots,x_N$ each…
Turbo
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A distance function which scales with the value size

This is a math question related to machine learning. I have a data set I want to cluster and to do this I want to define a bespoke distance function. My understanding of the data is that the distance between numerical values depends on the…
user66307
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generative vs discriminative machine learning

Could someone provide differences between these two techniques? Also, I would very much appreciate if you could give an example of a ML method that falls into discriminative model or gnerative one. For instance, is Perceptron discriminative?…
Bober02
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Discriminant vs. generatve functions

In the context of machine learning, does anyone know what is the difference betweeen the above?
Bober02
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What maths courses are needed for Machine Learning

I may sound dump. But I really like to know what maths courses are needed for Machine Learning. I am not computer science graduate but seriously interested in AI, ML, Neural network etc, and I know Java and familiar with Python as well. Can…
Max
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Need some help understanding the notation for Online Machine Learning algorithms

I'm reading the Wikipedia article on Online Machine Learning and some of the algorithms mentioned there seem to be missing some context: https://en.wikipedia.org/wiki/Online_machine_learning#The_algorithm_and_its_interpretations Specifically, in the…
Zain R
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Why is it that large linear SVM coefficients denote the most important features?

I'm looking for an intuitive explanation, preferably geometric. Why is it that I sort the coefficients of my linear SVM I get the most indicative features as the ones with the large coefficients? Suppose I have only 2 features X1 and X2. Their…
ihadanny
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Proof: $\forall \pi : V^\pi(s) = max_{a \in A_s} Q^\pi(s,a) \forall s \in S \Rightarrow \pi \text{ is optimal}$

This is a homework example for reinforcement (machine) learning that I have to solve. I just would like to know if my thoughts on this are somehow correct. Let $\pi$ be a policy and $V^\pi(s)$ the value function to calculate a reward in any state…
Stefan Falk
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You have trained a logistic regression model for a classification task using a 80-20 train-test split (randomly sampled) on a dataset of 10,000

You have trained a logistic regression model for a classification task using a 80-20 train-test split (randomly sampled) on a dataset of 10,000 observations. The following metrics are produced from the test at predictions and…
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