Questions tagged [reference-request]

Questions requesting papers in the literature on specific, narrow issues.

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21 views

Doubt between primary key and foreign key

I have two tables, course and prereg. The attributes are like that, course(course_id, title, dept_name, credits) prereg(course_id, pre_id) course_id attribute, of course, is the primary key. course_id,...
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29 views

Filling in the image by the brain

The Cones and rods are not evenly or precisely sensitized on the retina by incoming light. Because of this, the image is formed with distortions. But the brain corrects these deformations through a ...
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1answer
25 views

Definition of static property of object in OOP

Grady Booch in Object-Oriented Analysis and Design with Applications says: The state of an object encompasses all of the (usually static) properties of the object plus the current (usually dynamic) ...
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1answer
130 views

Proving FPT is strictly contained in XP

In their book Fundamentals of Parameterized Complexity, Downey and Fellows claim (in chapter 27.1) that $\mathrm{FPT}\subsetneq \mathrm{XP}$, and that this is a "basic result" that follows ...
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4answers
116 views

A beginner book on algorithms

I am a tenth grader. I currently learnt about sorting algorithms in java in school. I started with the book "Algorithmic Mathematics" so as learn about algorithms mathematically. I know very ...
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2answers
112 views

Is there a good algorithm to divide two integers without using division directly?

Problem. Given positive integers $a$ and $b$, obtain $\frac{a}{b}$ without using division ($/$) directly, though addition ($+$), subtraction ($-$), multiplication ($\times$) and bit-shifts ($\gg$ and $...
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1answer
33 views

What is the primary reference for the observation/discussion of how neural networks struggle with ambiguous training datasets?

It is known that neural networks, such as convolutional neural networks, struggle with pattern recognition if training sets contain ambiguities (i.e. several labels can correspond to one and the same ...
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1answer
19 views

Convergence of graph neural networks (GNNs)

I'm new to the area, and we don't have a course on graph neural networks at our university. However, I will still like to know the main theoretical results when considering convergence of graph neural ...
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2answers
202 views

Why did finite-state controller with datapath win?

I just finished watching the 1986 SICP lectures, and the concepts are rolling around in my head. My question: why is "finite-state controller with datapath" the implementation of computer ...
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2answers
42 views

What's the error about the definition of NP?

Many sources (including Wolfram's MathWorld) say that NP problem is defined as a decision problem "verifiable in nondeterministic polynomial time" (check Google to see more sources). But ...
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1answer
40 views

How to search all possible combinations for a product?

I'm looking for the name of the problem stated below or, if available, even the algorithm to solve it. This is a hypothetical idea of mine, I don't actually have the necessary data to implement it. ...
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1answer
36 views

Generalization of Cellular Automata

So in the little I know about formalization of cellular automata, it appears there are 4 major categories of cellular automata: 1-dimensional (cellular automata on the line) 2-dimensional (cellular ...
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15 views

Video lectures about Information Theory and Thermodynamics!

I'd like to know if there is any video courses that relate information theory and thermodynamics, e.g. courses cover laws of thermodynamics, Shannon's entropy, Kolomogorov Complexity, Landauer’s ...
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23 views

Calculating ring inequalities with fixed precision

Suppose we are given $n$ $M$-bit (the word size of the computer) integers $x_i$, and wish to calculate a linear or nonlinear inequality involving the numbers (an expression made up from the $x_i$, ...
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1answer
41 views

Existence of good error correcting codes

I recently asked this question and got an answer from Yuval Filmus stating that we can build a solution using error-correcting codes. More specifically, I'm looking for error correcting codes (for ...
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15 views

Edge features in Graph Neural Networks

I would like to know which GNN architectures support edge features, and where can I read about them. If anyone knows where I can search that \ how to distinguish between a GNN that doesn't inherently ...
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1answer
32 views

Is a register machine built out of automata of some sort?

I am looking at register machines like the Random Access Machine. Wikipedia says: Random-access machine (RAM) – a counter machine with indirect addressing and, usually, an augmented instruction set. ...
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2answers
50 views

Silly question: what counts as a "unit of work" when computing big-Oh time complexity

I am going through a fairly non-rigorous textbook called 'Cracking the code interview' and I am bothered by this terminology called "unit of work". It says in the textbook that certain ...
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1answer
36 views

reference request: solving problems by dynamic programming + quantization to avoid combinatorial explosion

The context: I have been working lately with problems like the following: Let $x_{k}\in\mathbb{R}^n$ be a state evolving accroding to: $$ x_{k+1} = f(x_k,u_k), k=0,\dots,N-1 $$ given some $x_0$ and ...
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1answer
15 views

Formal Description Of Data Structure For Infinite Sets Of Reals

The paper I'm working on uses sets as implemented in https://docs.sympy.org/latest/modules/sets.html. A set is stored in a data structure as a sequence of intervals with open or closed bounds, so it ...
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13 views

Research on Tree Automata/Tree Transducers for implementing Tree Generators

I would like to write from scratch a tree pattern matching algorithm. Well actually, not just a matching algorithm, and not even a tree transducer, but a sort of tree constructor that takes basically ...
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1answer
34 views

Uniform convergence for a class of finite dimension

The following theorem is cited in Balcan, M.F., Sandholm, T. and Vitercik, E., 2019. Estimating approximate incentive compatibility which I am currently reading and it is referenced to David Pollard. ...
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4 views

Inferring reward function and transition model from optimal policy

Consider an MDP where the transition model and the reward function are unknown. Consider an optimal policy $\pi^*$ generated from this MDP (say by some oracle who does know the transition model and ...
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17 views

Companion volume to Concurrency verification of Willem-Paul de Roever

At the moment I am working hard with the book "Concurrency Verification Introduction to Compositional and Non-compositional Methods" written by Willem-Paul de Roever et al. In the ...
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10 views

Asking for references on errors, testing, system failures etc

I am looking for references that talk about the following subject: Software programs are in general complex systems. That is, if we decompose them into components and we make sure that each component ...
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1answer
27 views

Algorithmic information theory with stochastic algorithms?

Suppose we define a class of algorithms that is allowed to sample i.i.d. Bernoulli bitstrings of arbitrary length, and use these to generate outputs. If we are allowed to use algorithms like this, ...
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14 views

Degree of regularity of a Markov chain

A Markov chain with transition matrix $P$ is termed regular if for some $n$, all entries of $P^n$ are positive. Is there a known notion of degree of regularity quantified in terms of how soon all ...
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28 views

Reliability of information on large social networks like Wikipedia [closed]

I was going through the playlist of an online course on Social Network Analysis offered by the Indian Institute of Technology (Madras), when I came across the claim that "when a lot of people get ...
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1answer
111 views

What is a self-delimiting program?

I came across the term self-delimiting program, referring to the paper "Laws of information (nongrowth) and aspects of the foundation of probability theory" by Levin, 1974. Unfortunately ...
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18 views

Generalization of finding $L_\infty$ centroid in $R^2$ via rotating and minimizing sum of $L_1$ distances

Given a set of points $x_1, \dots, x_n \in \mathbb{R}^2$, suppose one wants to find: $\text{argmin}_i \sum\limits_{j=1}^{n} \lVert x_i - x_j\rVert_\infty$ i.e. the point which minimizes the sum of the ...
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32 views

Books on Lambda calculus

I would like to learn Lambda calculus (informally). What are the pre requisites for studying lambda calculus ? Can someone recommend an interesting textbook that introduces subject historically with ...
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20 views

Is there a uniform way of giving for any mathematical formula a hypercomputer that computes it?

Some mathematical formulas directly suggest an algorithm for computing it (even if sometimes an inefficient one). For example, if we recursively define $\sum_{i=1}^nx_i=x_n+\sum_{i=1}^{n-1}x_i$, then ...
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13 views

Good exposition of tableau for first-order logic with equality?

I'm looking for a resource (online or printed) that explains in a self-contained way the classic tableau for first-order logic with equality. All I can find are expositions of tableaux for first-order ...
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116 views

Minimum set cover with incompatible sets

I'm interested in a variant of minimum set cover where some sets are ``incompatible'' (they can't be chosen simultaneously). To state it more formally: We have a finite base set $X$ and a family $\...
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21 views

Reference request: Learning runtime analysis (Complete material)

I am very curious about learning runtime analysis more than just what MIT courseware provides (The course with Erik Demaine 6.006) And what CLRS offers, which is a nice explanation about asymptotic ...
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1answer
52 views

Tight approximation for the chromatic number of an arbitrary graph in polynomial space and time

I am looking for an algorithm for approximating the chromatic number of an undirected simple graph with $n$ vertices in $O(n^{c_1})$ time and $O(n^{c_2})$ space, for some constants $c_1$ and $c_2$. ...
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18 views

What the the most efficient and effective VM ISA/computational model format backed by research?

The JVM and CLR are stack based machine are very efficient, mainly due to the investment in these platforms than an efficiency and effectiveness of stack based VMs. For en entity that does not have ...
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24 views

Cloud computing application [closed]

Question I want to analyze the potential of a cloud computing application that performs payroll and invoicing over the Internet from a large Internet company.I want also to describe the systems ...
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21 views

Extending the token bucket algorithm

I've been looking at implementing a local rate limiting solution satisfying certain guarantees. I've found surprisingly little literature on the extensions of the token bucket algorithm to hierarchies....
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18 views

Spanning hypertree which connects the vertices as slowly as possible

I want to find a reference for the following problem or a similar problem for my paper. I found a greedy algorithm for this problem, but writing such an algorithm in a paper is not common in my area, ...
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1answer
98 views

Is there a graph theory textbook that covers treewidth thoroughly?

Can someone recommend a graph theory textbook that covers treewidth thoroughly? Something that focuses on the graph-theoretic structure of bounded treewidth graphs rather than solving problems on them....
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1answer
43 views

What is a task type?

I have an unlabeled dataset: 500 X-rays of seeds in husk. In each image there are different number of seeds, for instance, from $10$ to $50$. A seed has some features. The main features are a seeds' ...
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22 views

Modern vs. original formulations of Rice's theorem

Rice's theorem states that any nontrivial semantic property of Turing machines is undecidable. However, when I opened “Classes of recursively enumerable sets and their decision problems” by H. G. Rice,...
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1answer
40 views

Reference asking : High Performance Computer Architecture

Topics Pipelining: Basic concepts, instruction and arithmetic pipeline, data hazards, control hazards, and structural hazards, techniques for handling hazards. Exception handling. Pipeline ...
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1answer
23 views

linear time nash equilibirum aproximations for two player zero sum games

I'm working on an AI for a game where I'd like the game where each player has hundreds of moves to select from and so the game matrix has 10s of thousands of entries. The game is however zero sum. ...
3
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0answers
60 views

bounding the height of stack when checking acceptance pushdown automaton

Let $A$ be a nondeterministic PDA (with empty stack acceptance). I am looking for a reference for a statement of the following form. There exists a constant $c$, computable from $A$, such that: if $w$...
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18 views

"Close" Graph Coloring?

I haven't been able to find whether this problem has been studied: we are given a graph $G$ and an ordered list of $k$ colors $L = [\ell_1, \cdots, \ell_k]$. Additionally, we are given a positive ...
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27 views

Distributed Serializable Snapshot Isolation

I was wondering if there is any research on distributed transaction algorithms for Serializable Snapshot Isolation. I found Binnig, C. et al.: Distributed snapshot isolation: global transactions pay ...
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1answer
40 views

Given a list of integer rectangle areas, find all integer rectangles that they can tile

Is there an efficient algorithm that takes in a list (multiset) of integer rectangle areas and finds all possible integer rectangle tilings? Every integer rectangle area in the list (multiset) must be ...
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20 views

Textbooks about the verification of computer programs that use Z as the specification language

I'm looking for textbooks/lecture notes about the verification of computer programs, i.e. proving their correctness, that use Z as the specification language against which the correctness is verified.

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