Lower bounds for sublinear time algorithms

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August undefined, 2024

WebMy research interests lie broadly in theoretical computer science, with a particular emphasis on sublinear algorithms, complexity theory, coding theory and learning theory. My recent work has focused on the following goals: designing algorithms that only use sublinear time or sublinear space, in computational models relevant to large data sets WebWe give lower bounds which show the running times of many of our algorithms to be nearly best possible in the unit-cost RAM model. We also give implementations of our algorithms in the semi-streaming setting, obtaining the first low pass polylogarithmic space and sublinear time algorithms achieving arbitrary approximation factor.

Near-Optimal Sublinear Time Algorithms for Ulam …

WebMar 26, 2024 · A novel algorithm for enumerating lattice points in any convex body known as the M-ellipsoid is given, and an expected O(f*(n))^n-time algorithm for Integer Programming, where f*( n) denotes the optimal bound in the so-calledflatnesstheorem, which is conjectured to be f* (n) = O(n). Expand Web27 rows · Lower bounds for compressed sensing Adaptivity Sparse Fourier transforms Property testing: Distribution testing: uniformity, independence Testing monotonicity of … katherine guilfoyle

Sublinear Algorithms for Hierarchical Clustering

WebMethodology for developing and analyzing efficient algorithms. Understanding the inherent complexity of natural problems via polynomial-time algorithms, advanced data structures, randomized algorithms, approximation algorithms, and NP-completeness. Additional topics may include algebraic and number theoretic algorithms, circuit lower bounds, online … WebApr 16, 2024 · Our algorithms apply to a broad class of PRGs and are in the case of general local PRGs faster than currently known attacks. At the same time, in contrast to most … WebIn this course we will study several sublinear models, including the sublinear-time model of Property Testing, sublinear-space streaming models, and sublinear-communication models. We will introduce many of the combinatorial, algebraic and geometric techniques commonly used in analyzing very fast algorithms for mathematical objects such as ... katherine gwaltney lpc

Elena Grigorescu - Purdue University

WebApr 1, 2024 · This lower bound result highlights a sharp separation between the metric MST and metric TSP problems. Similarly to many classical approximation algorithms for TSP, … WebFeb 12, 2024 · Focusing on the RAM model and the I/O model, this paper aims to study both lower and upper bounds for sublinear range partitioning algorithms on the two models. In … katherine g thomas dds winchester vaWebdis however huge in the sublinear time applications when the graph is not very sparse. In particular, while an O ˜( d ) query result translates into an O ˜( n ) time algorithm in the … katherine gustafson

"WebAug 22, 2007 · This lower bound holds for every multiplicative factor α and small constant epsilon1 as long as ¯d = O(n/α). In particular this means that for dense graphs it is not possible to design an algorithm whose complexity is o(n). c© 2007 Elsevier B.V. ... We note that sublinear-time algorithms were presented also outside the domain of property ... " - Lower bounds for sublinear time algorithms

Lower bounds for sublinear time algorithms

Sublinear Algorithms for Massive Data Problems MIT CSAIL

WebDec 1, 2024 · Our approach is conceptually simple and diverges from all previous sublinear-time matching algorithms: we show a sublinear time algorithm for computing a variant of the edge-degree constrained subgraph (EDCS), a concept that has previously been exploited in dynamic [Bernstein Stein ICALP'15, SODA'16], distributed [Assadi et al. SODA'19] and … WebMoreover, lower bounds for sublinear algorithms are primarily information-theoretic rather than being computational (we will get to this as well in a couple of lectures). In this course, we will study query complexity and communication complexity as two primary ways of proving lower bounds for sublinear time and streaming algorithms, respectively.

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Web• A sublinear-time algorithm in the standard query model that allows neighbor queries and ... (MPC) algorithms. We also prove new lower bounds to contrast the complexity of the (∆ + 1) coloring problem in these models with two other closely related Locally Checkable Labeling (LCL) problems (see [39]), namely, the maximal independent set and ... WebNov 2, 2024 · The activPAL accelerometer has been used extensively in research to assess sedentary behaviour (SB) and physical activity (PA) outcomes. The aim of this study was to assess the comparability of PA and SB outcomes from two automated algorithms (CREA and GHLA) applied to the activPAL accelerometer. One hundred and twenty participants …

WebThis work considers the problem of optimizing a coverage function under a l-matchoid of rank k and gives a deterministic fixed-parameter algorithm parameterized by l and k, and shows that it is possible to circumvent the recent space lower bound of Feldman et al, by parameterizing the solution value. We consider the problem of optimizing a coverage … WebSublinear Time Algorithms Ronitt Rubinfeld ∗ Asaf Shapira † Abstract Sublinear time algorithms represent a new paradigm in computing, where an algorithm must give some …

WebWe give near-tight bounds for estimating the edit dis-tance between two non-repetitive strings (Ulam dis-tance) with constant approximation, in sub-linear time. For two strings … http://www.math.tau.ac.il/%7Easafico/sublinear.pdf

WebConstructing a sublinear time algorithm may seem to be an impossible task since it allows one to read only a small fraction of the input. However, in recent years, we have seen development of sublinear time algorithms for optimization problems arising in such diverse areas as graph theory, geometry, algebraic computations, and computer graphics.

Webalgorithms for the testing problem is su cient (and nec-essary) for both the upper and lower bound theorems. Lower bound. The main question here is proving the bound of (p d), for R > p d, since the bound of (d=R) follows immediately from the lower bound on testing Hamming distance. We rst review the construction from [BEK+03], which gives a ... katherine gurley blytheville arWebConstructing a sublinear time algorithm may seem to be an impossible task since it allows one to read only a small fraction of the input. However, in recent years, we have seen … katherine gwynWebMar 28, 2024 · Sublinear Algorithms and Lower Bounds for Estimating MST and TSP Cost in General Metrics CC BY 4.0 Authors: Yu Chen Sanjeev Khanna Zihan Tan Preprints and early-stage research may not have... katherine gulley clinical counsellingWebDec 5, 2024 · In this work, we give novel sublinear time quantum algorithms and quantum lower bounds for LCS, LPS, and a special case of edit distance namely Ulam distance ( UL … layer chainsWebWe show an Ω ( log n) lower bound on the running time of our proposed house-hunting algorithm, where n is the number of ants. Furthermore, we show a matching upper bound of expected O ( log n) rounds for environments with only one candidate nest for the ants to move to. Our work provides insights into the house-hunting process, giving a ... layer chasse sur rhoneWebSep 3, 2024 · Note: A sublinear time algorithm doesn't even have the time to consider all the input; it can only sample the input. Binary search is not considered a sublinear time … layer chain katherine gym