###### 2017

- Ognjanović Z., Savić N., Studer T. (2017) Justification Logic with Approximate Conditional Probabilities. (springer.com)

###### approximation

- In such environments, queries are often relaxed and query processing is forced to be adaptive and approximate, either to cope with limited processing resources or with limited data knowledge and data heterogeneity.When approximation and adaptivity are applied in order to cope with limited processing resources, possibly sacrificing result quality, we refer to as Quality of Service (QoS)-oriented techniques. (springer.com)
- Approximate computing is based on the observation that in many scenarios, although performing exact computation requires large amount of resources, allowing bounded approximation can provide disproportionate gains in performance and energy, while still achieving acceptable result accuracy. (wikipedia.org)
- The key requirement in approximate computing is that approximation can be introduced only in non-critical data, since approximating critical data (e.g., control operations) can lead to disastrous consequences, such as program crash or erroneous output. (wikipedia.org)
- Software-level approximation There are several ways to approximate at software level. (wikipedia.org)
- However, it can be approximated, and the approximation has good fairness, efficiency and strategic properties. (wikipedia.org)

###### algorithms

- These insights can be used in the design of scoring functions for which the optimum can be approximated efficiently and perhaps in the development of efficient algorithms for the multiple structural alignment problem. (pnas.org)
- Traditionally, approximate string matching algorithms are classified into two categories: on-line and off-line. (wikipedia.org)
- Early algorithms for on-line approximate matching were suggested by Wagner and Fisher and by Sellers. (wikipedia.org)
- Both algorithms approximate the maximin-share-guarantee. (wikipedia.org)

###### displaystyle

- leq K} such that A ⋅ A ⊂ X ⋅ A {\displaystyle A\cdot A\subset X\cdot A} . It is immediately verified that a 1-approximate subgroup is the same thing as a genuine subgroup. (wikipedia.org)
- leq N_{i}\}} , and it is a 2 d {\displaystyle 2^{d}} -approximate subgroup. (wikipedia.org)
- Approximate subgroups of the integer group Z {\displaystyle \mathbb {Z} } were completely classified by Imre Z. Ruzsa and Freiman. (wikipedia.org)
- In particular A {\displaystyle A} is contained in at most C K ′ {\displaystyle C_{K}'} translates of P {\displaystyle P} : this means that approximate subgroups of Z {\displaystyle \mathbb {Z} } are "almost" generalised arithmetic progressions. (wikipedia.org)
- A function f on R k {\displaystyle \mathbb {R} ^{k}} has an approximate limit y at a point x if there exists a set F that has density 1 at the point such that if xn is a sequence in F that converges towards x then f(xn) converges towards y. (wikipedia.org)
- We denote the approximate limit of f at x0 by lim x → x 0 ap f ( x ) . {\displaystyle \lim _{x\rightarrow x_{0}}\operatorname {ap} \ f(x). (wikipedia.org)
- If f is function of only one real variable and the difference quotient f ( x 0 + h ) − f ( x 0 ) h {\displaystyle {\frac {f(x_{0}+h)-f(x_{0})}{h}}} has an approximate limit as h approaches zero we say that f has an approximate derivative at x0. (wikipedia.org)
- A right approximate identity in a Banach algebra A is a net { e λ : λ ∈ Λ } {\displaystyle \{\,e_{\lambda }\colon \lambda \in \Lambda \,\}} such that for every element a of A, lim λ ∈ Λ ∥ a e λ − a ∥ = 0. (wikipedia.org)
- On the other hand, by zooming in at the origin the set M 2 {\displaystyle M_{2}} is approximately equal to two straight lines that overlap in the limit. (wikipedia.org)
- It would be reasonable to say it has an approximate tangent space R × { 0 } {\displaystyle \mathbb {R} \times \{0\}} with multiplicity two. (wikipedia.org)

###### generalize the previous

- That is, we generalize the previous results by studying approximate judgement aggregation. (repec.org)
- One can generalize the previous definition and proceed to define approximate tangent spaces for certain Radon measures, allowing for multiplicities as explained in the section above. (wikipedia.org)

###### entropy

- In statistics, an approximate entropy (ApEn) is a technique used to quantify the amount of regularity and the unpredictability of fluctuations over time-series data. (wikipedia.org)

###### Mathematics

- M. M. Khader and A. S. Hendy, "The approximate and exact solutions of the fractional-order delay differential equations using Legendre pseudospectral method," International Journal of Pure and Applied Mathematics , vol. 74, no. 3, pp. 287-297, 2012. (hindawi.com)
- In mathematics, an approximate group is a subset of a group which behaves like a subgroup "up to a constant error", in a precise quantitative sense (so the term approximate subgroup may be more correct). (wikipedia.org)
- In mathematics, the approximate limit is a generalization of the ordinary limit for real-valued functions of several real variables. (wikipedia.org)
- Approximate continuity at Encyclopedia of Mathematics Approximate derivative at Encyclopedia of Mathematics Approximate differentiability at Encyclopedia of Mathematics Bruckner, Andrew (1994), Differentiation of real functions (Second ed. (wikipedia.org)
- In mathematics, particularly in functional analysis and ring theory, an approximate identity is a net in a Banach algebra or ring (generally without an identity) that acts as a substitute for an identity element. (wikipedia.org)

###### Uncertainty

- The International Journal of Approximate Reasoning is intended to serve as a forum for the treatment of imprecision and uncertainty in Artificial and Computational Intelligence , covering both the foundations of uncertainty theories, and the design of intelligent systems for scientific and engineering. (elsevier.com)

###### optimization

- Here, we study the structural alignment problem as a family of optimization problems and develop an approximate polynomial-time algorithm to solve them. (pnas.org)

###### computation

- Approximate inference methods make it possible to learn realistic models from big data by trading off computation time for accuracy, when exact learning and inference are computationally intractable. (wikipedia.org)
- Approximate computing is a computation which returns a possibly inaccurate result rather than a guaranteed accurate result, for a situation where an approximate result is sufficient for a purpose. (wikipedia.org)
- EnerJ: Approximate data types for safe and general low-power computation", In ACM SIGPLAN Notices, vol. 46, no. 6, 2011. (wikipedia.org)
- Approximate Bayesian computation (ABC) constitutes a class of computational methods rooted in Bayesian statistics. (wikipedia.org)
- The description of the sampling mechanism coincides exactly with that of the ABC-rejection scheme, and this article can be considered to be the first to describe approximate Bayesian computation. (wikipedia.org)
- Finally, the term Approximate Bayesian Computation was established by Mark Beaumont et al. (wikipedia.org)

###### 2016

- FAU: Fast and Error-Optimized Approximate Adder Units on LUT-Based FPGAs", FPT, 2016. (wikipedia.org)

###### generalization

- In geometric measure theory an approximate tangent space is a measure theoretic generalization of the concept of a tangent space for a differentiable manifold. (wikipedia.org)

###### Algorithm

- Sellers' algorithm searches approximately for a substring in a text while the algorithm of Wagner and Fisher calculates Levenshtein distance, being appropriate for dictionary fuzzy search only. (wikipedia.org)
- The approximate counting algorithm allows the counting of a large number of events using a small amount of memory. (wikipedia.org)
- Fast Approximate Anti-Aliasing (FXAA) is an anti-aliasing algorithm created by Timothy Lottes under NVIDIA. (wikipedia.org)

###### magnitude

- Approximate logic synthesis under general error magnitude and frequency constraints", ICCAD, 2013 R. Hegde et al. (wikipedia.org)
- The approximate number system (ANS) is a cognitive system that supports the estimation of the magnitude of a group without relying on language or symbols. (wikipedia.org)
- This indicates that the intraparietal sulcus plays an active role when the ANS is employed to approximate magnitude. (wikipedia.org)

###### Infants

- Beginning as infants, people have an innate sense of approximate number that depends on the ratio between sets of objects. (wikipedia.org)

###### systematic

- SALSA: systematic logic synthesis of approximate circuits", DAC, 2012. (wikipedia.org)
- In 1984, Peter Diggle and Richard Gratton suggested using a systematic simulation scheme to approximate the likelihood function in situations where its analytic form is intractable. (wikipedia.org)

###### nearest

- Give the approximate pKa (nearest whole number) for the following amino acids and terminal ends. (sporcle.com)
- 1+ε)-approximate nearest neighbor search is a special case of the nearest neighbor search problem. (wikipedia.org)
- The solution to the (1+ε)-approximate nearest neighbor search is a point or multiple points within distance (1+ε) R from a query point, where R is the distance between the query point and its true nearest neighbor. (wikipedia.org)
- Reasons to approximate nearest neighbor search include the space and time costs of exact solutions in high-dimensional spaces (see curse of dimensionality) and that in some domains, finding an approximate nearest neighbor is an acceptable solution. (wikipedia.org)
- Approaches for solving (1+ε)-approximate nearest neighbor search include kd-trees, Locality Sensitive Hashing and brute force search. (wikipedia.org)

###### theoretic

- APPROX'2012 focuses on algorithmic and complexity theoretic issues relevant to the development of efficient approximate solutions to computationally difficult problems, while RANDOM'2012 focuses on applications of randomness to computational and combinatorial problems. (unige.ch)

###### fuzzy

- In computer science, approximate string matching (often colloquially referred to as fuzzy string searching) is the technique of finding strings that match a pattern approximately (rather than exactly). (wikipedia.org)

###### constraints

- We relax the main two constraints assumed in the current literature, Consistency and Independence and consider mechanisms that only approximately satisfy these constraints, that is, satisfy them up to a small portion of the inputs. (repec.org)
- transposition: cost → cots Different approximate matchers impose different constraints. (wikipedia.org)

###### Measures

- Approximate measures are units of volumetric measurement which are not defined by a government or government-sanctioned organization, or which were previously defined and are now repealed, yet which remain in use. (wikipedia.org)
- Proceedings of the American Pharmaceutical Association at the Fifty-Third Annual Meeting: The Approximate Measures of the U. S. P". Baltimore, M.D.: American Pharmaceutical Association. (wikipedia.org)

###### sequence

- If an approximate identity is a sequence, we call it a sequential approximate identity and a C*-algebra with a sequential approximate identity is called σ-unital. (wikipedia.org)
- An approximate identity in a convolution algebra plays the same role as a sequence of function approximations to the Dirac delta function (which is the identity element for convolution). (wikipedia.org)

###### typically

- The problem of approximate string matching is typically divided into two sub-problems: finding approximate substring matches inside a given string and finding dictionary strings that match the pattern approximately. (wikipedia.org)
- The approx cache typically requires a few gigabytes of disk space. (wikipedia.org)

###### approaches

- These approaches allow the spread of the most common optimizations and approximate computing techniques. (wikipedia.org)

###### examples

- Examples of approximate subgroups which are not groups are given by symmetric intervals and more generally arithmetic progressions in the integers. (wikipedia.org)

###### solutions

- We argue that such approximate solutions are, in fact, of greater interest than exact ones because of the noisy nature of experimentally determined protein coordinates. (pnas.org)

###### Rolling Stone

- Although the song covers similar ground to "Like a Rolling Stone", "Queen Jane Approximately" is gentler and shows the subject some compassion. (wikipedia.org)

###### floating point

- Approximate storage Instead of storing data values exactly, they can be stored approximately, e.g., by truncating the lower-bits in floating point data. (wikipedia.org)

###### data

- This article proposes mechanisms that enable applications to store data approximately and shows that doing so can improve the performance, lifetime, or density of solid-state memories. (microsoft.com)
- The second mechanism mitigates wear-out failures and extends memory endurance by mapping approximate data onto blocks that have exhausted their hardware error correction resources. (microsoft.com)

###### time

- Approx can save time and network bandwidth if .deb packages need to be installed or upgraded for a number of machines on a local network. (wikipedia.org)
- In a 2005 poll of artists reported in Mojo, "Queen Jane Approximately" was listed as the #70 all time Bob Dylan song. (wikipedia.org)

###### efficient

- Finding approximate competitive equilibria: efficient and fair course allocation (PDF). (wikipedia.org)

###### Analysis

- Communications of the ACM 21, 10 (1977), 840-842 Flajolet, P. Approximate Counting: A Detailed Analysis. (wikipedia.org)

###### general

- In general, a C*-algebra A is σ-unital if and only if A contains a strictly positive element, i.e. there exists h in A+ such that the hereditary C*-subalgebra generated by h is A. One sometimes considers approximate identities consisting of specific types of elements. (wikipedia.org)

###### method

- Here, we present the new method of approximate conformal mapping of the unit disk to a one-connected domain with smooth boundary without auxiliary constructions and iterations. (hindawi.com)
- Their method was based on defining a grid in the parameter space and using it to approximate the likelihood by running several simulations for each grid point. (wikipedia.org)

###### several

- Several strategies can be used for performing approximate computing. (wikipedia.org)

###### example

- For example, an approximate multi-bit adder can ignore the carry chain and thus, allow all its sub-adders to perform addition operation in parallel. (wikipedia.org)
- For example, for compact operators acting on a Hilbert space, the net consisting of finite rank projections would be another approximate identity. (wikipedia.org)
- For example, a C*-algebra has real rank zero if and only if every hereditary C*-subalgebra has an approximate identity consisting of projections. (wikipedia.org)
- For example, the Fejér kernels of Fourier series theory give rise to an approximate identity. (wikipedia.org)

###### Random

- The Random/Approx organization would like to thank Microsoft Research New England for their support. (unige.ch)

###### true

- Many of the properties of the ordinary limit are also true for the approximate limit. (wikipedia.org)
- In particular, if a is a scalar and f and g are functions, the following equations are true if values on the right-hand side are well-defined (that is the approximate limits exist and in the last equation the approximate limit of g is non-zero. (wikipedia.org)

###### level

- building a 3 storey house on the Island of Malta and would like to ask if you would you be able to quote for works for the ground floor level which is an open plan measuring approx 19 mtrs x 5.5 mtrs. (freelancer.com)
- In an approximate system, different subsystems of the system such as the processor, memory, sensor, and communication modules are synergistically approximated to obtain a much better system-level Q-E tradeoff curve compared to individual approximations to each of the subsystems. (wikipedia.org)
- The precision of the ANS improves throughout childhood development and reaches a final adult level of approximately 15% accuracy, meaning an adult could distinguish 100 items versus 115 items without counting. (wikipedia.org)

###### exist

- Loosely speaking, rectifiable sets are precisely those for which approximate tangent spaces exist almost everywhere. (wikipedia.org)

###### name

- It was fully analyzed in the early 1980s by Philippe Flajolet of INRIA Rocquencourt, who coined the name Approximate Counting, and strongly contributed to its recognition among the research community. (wikipedia.org)

###### error

- Approximate computing has been used in a variety of domains where the applications are error-tolerant, such as multimedia processing, machine learning, signal processing, scientific computing, etc. (wikipedia.org)

###### Order

- The net of all positive elements in A of norm ≤ 1 with its natural order is an approximate identity for any C*-algebra. (wikipedia.org)
- In differential geometry the defining characteristic of a tangent space is that it approximates the smooth manifold to first order near the point of tangency. (wikipedia.org)

###### left

- An approximate identity is a net which is both a right approximate identity and a left approximate identity. (wikipedia.org)
- For C*-algebras, a right (or left) approximate identity consisting of self-adjoint elements is the same as an approximate identity. (wikipedia.org)

###### applications

- In the case of large scale applications, it is very common to find people holding the expertise on approximate computing techniques not having enough expertise on the application domain (and vice versa). (wikipedia.org)

###### original

- Interestingly, it may be that all English-unit derived capacity measurements are derived from one original approximate measurement: the mouthful, consisting of about 1⁄2 ounce, called the ro in ancient Egypt (their smallest recognized unit of capacity). (wikipedia.org)

###### common

- Womb (uterine/endometrial) cancer is a fairly common disease affecting approximately 1 in 70 women. (cochrane.org)

###### different

- Approximate-CE: a price-vector and an allocation are calculated, such that (a) each allocated bundle is optimal to its agent given its budget, and (b) the market "almost" clears - up to a small constant that depends on the minimum between the number of different item-types and the number of different items that an agent may receive. (wikipedia.org)

###### include

- Musicians on "Queen Jane Approximately" include Dylan, Mike Bloomfield on electric guitars and Al Kooper and Paul Griffin on keyboards. (wikipedia.org)

###### fact

- The importance of logics with approximate conditional probabilities is reflected by the fact that they can model non-monotonic reasoning. (springer.com)

###### family

- Athemistus approximates is a species of beetle in the family Cerambycidae. (wikipedia.org)

###### unique

- The approximate limit of a function, if it exists, is unique. (wikipedia.org)
- Approximate identities are not unique. (wikipedia.org)