Questions tagged [reference-request]

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

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30 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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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
26 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
36 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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17 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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23 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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16 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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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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1answer
95 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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19 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
49 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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15 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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23 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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18 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
94 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
42 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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17 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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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
21 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. ...
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59 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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22 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
32 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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19 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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1answer
24 views

What is a good reference for NP hardness in the machine learning/optimization/operations research context?

I am reading some papers in machine learning and at the very beginning (introduction) you will see statements of theorems that says, for example: Theorem 1.1. For any constant ϵ > 0, it is NP-hard ...
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1answer
43 views

Bottleneck TSP with repeated nodes

I am aware that the traveling salesman problem (TSP) and the bottleneck TSP problem is NP-hard for complete directed graphs. I am also aware that regular TSP that allows a path with repeating is also ...
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2answers
67 views

How to tell if a grammar is LALR(1) formally?

There is an “informal” definition of $\operatorname{LR}(k)$ (can be recognised by a parser that looks at $k$ symbols ahead) and a “formal” one (as a property of the set of rightmost derivations ...
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1answer
46 views

A voting scheme where votes are scriptable

I am looking for literature on mathematical models of (political) voting schemes. Concretely, I am interested in models that allow votes of the following form: "I am voting for $X$, but only if $...
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2answers
103 views

Has category theory had an impact on computer science?

I've only learned bit of category theory, but so far its relation to type systems seems mostly descriptive. For example, you really don't need to know about coproducts to come up with the idea of ...
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16 views

Is there any research on allocating memory across multiple non-contiguous regions?

From my understanding, malloc and-the-like allocate contiguous blocks of memory. It then returns to you the start address of the memory block. This (and other ...
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1answer
40 views

Algorithms that must compute a global property?

Could you give me examples of polynomial-time algorithms that must compute a global property over their entire input? A purely illustrative example of this might be a graph algorithm that somehow must ...
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0answers
57 views

Longest Path Problem on Graphs of Bounded Clique-Width

The wikipedia article mentions: For graphs of bounded clique-width, the longest path can also be solved by a polynomial time dynamic programming algorithm. However there are no references and I wasn'...
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1answer
82 views

Distributed predicate computation on event stream

My question is actually a request for papers, articles, texts or books on the problem that I'm trying to solve on my work. I'm working on a program that computes a predicate value (true or false) for ...
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0answers
20 views

Books on scientific computing, efficent NN inference, and matrix multipication

I'm trying to learn more about how inference, matrix multiplication, and scientific computing (primarily with tensors/matrices). I'm not sure what the classics here are or what good sources are. I'm ...
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24 views

Strategies for event-driven concurrency

Is there any good formal investigation or at least definition of different strategies of event-driven concurrent programming? I've read that there exist readiness based (pull based) and completion ...
2
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1answer
43 views

Error in pivot selection algorithm for merge phase [Sorting]

In the paper Comparison Based Sorting for Systems with Multiple GPUs, the authors describe the selection of a pivot element with respect to the partition on the first GPU (and its mirrored counterpart ...
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1answer
113 views

Reference for counting the number of paths in a DAG

Given a connected DAG I know how to compute the number of paths between two nodes. See e.g. Counting number of paths between two vertices in a DAG . Is there a reference or name for the algorithm? ...
2
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1answer
43 views

Context free languages invariant by “shuffling” right hand side

Given a grammar $G$ for a Context Free language $L$, we can augment it by "shuffling" the right hand side of each production, e.g.: $A \to BCD$ is expanded to $A \to BCD \; | \; BDC \; | \; ...
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1answer
70 views

Factoring algorithms after number field sieves

It seems that the General Number Field Sieve (GNFS) became number one and then RSA stopped its factoring challenges and there have been no advances in factoring algorithms besides quantum computers. ...
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0answers
48 views

Complexity of approximating a function value using queries

I am looking for information on problems of the following kind. There is a function $f: [0,1] \to \mathbb{R}$ that is continuous and monotonically-increasing, with $f(0)<0$ and $f(1)>0$. You ...
2
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2answers
75 views

Is realization of unit disk graphs hard?

It is known that recognizing a unit disk graph is NP-hard [1]. However, the paper does not mention how hard the realization problem is. I have looked up several references [2][3][4]. None of the ...
5
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1answer
62 views

Does big-Oh impose an ordered partition on the set of the “usual” functions?

The example in this answer proves the fact familiar to CS students - that the "big-O" is not a total order. However, most algorithm running times analyzed using big-Oh notation are not ...
3
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1answer
157 views

Functional Programming and Category Theory

I'm a math Ph.D. having done research in Algebraic Geometry and Algebraic Topology in grad school for my thesis and I've studied a fair amount of category theory in the process (e.g. having worked ...
4
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1answer
69 views

Algoritm to sample an even subgraph of a graph

In some problems related to the Ising model in physics and mathematics the following problem comes up: Suppose I have a graph $G$. Then an even spanning subgraph of $G$ is a subgraph where you keep ...
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2answers
67 views

Books for the Mathematical Theory of AI/ML

I am interested in the mathematical foundations of Artificial Intelligence and Machine Learning. Are there any books which will describe and present the mathematical foundations in detail? I am not ...

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