• Thumbnail for Smoothed analysis
    computer science, smoothed analysis is a way of measuring the complexity of an algorithm. Since its introduction in 2001, smoothed analysis has been used...
    13 KB (1,727 words) - 23:44, 8 June 2025
  • Smooth infinitesimal analysis is a modern reformulation of the calculus in terms of infinitesimals. Based on the ideas of F. W. Lawvere and employing...
    5 KB (615 words) - 17:27, 24 January 2025
  • theory to bridge the gap between worst-case and average-case analysis is called smoothed analysis. When analyzing algorithms which often take a small time...
    13 KB (1,273 words) - 21:09, 3 March 2024
  • have jointly won the Gödel Prize twice: in 2008 for their work on smoothed analysis of algorithms and in 2015 for their work on nearly-linear-time Laplacian...
    9 KB (594 words) - 00:46, 18 March 2025
  • Thumbnail for Gödel Prize
    ISSN 0022-0000, ECCC TR94-010 Spielman, Daniel A.; Teng, Shang-Hua (2004), "Smoothed analysis of algorithms: Why the simplex algorithm usually takes polynomial...
    31 KB (2,200 words) - 21:16, 23 June 2025
  • functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability. Real analysis is distinguished...
    49 KB (7,670 words) - 22:17, 15 June 2025
  • Asia. In 2008 Teng was awarded the Gödel Prize for his joint work on smoothed analysis of algorithms with Daniel Spielman. They went to win the prize again...
    7 KB (451 words) - 01:22, 16 November 2024
  • stability), or do they become tractable? This area of research, called smoothed analysis, was introduced specifically to study the simplex method. Indeed,...
    42 KB (6,261 words) - 14:30, 16 June 2025
  • Thumbnail for Smoothing
    immediate results from smoothing are the "smoothed" values with no later use made of a functional form if there is one; the aim of smoothing is to give a general...
    11 KB (628 words) - 14:42, 25 May 2025
  • Thumbnail for Analysis of algorithms
    algorithms) NP-complete Numerical analysis Polynomial time Program optimization Scalability Smoothed analysis Termination analysis — the subproblem of checking...
    25 KB (3,683 words) - 17:34, 18 April 2025
  • perfect graph theorem. Daniel A. Spielman and Shang-Hua Teng, for smoothed analysis of linear programming algorithms. Thomas C. Hales and Samuel P. Ferguson...
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  • nodal analysis or MNA is an extension of nodal analysis which not only determines the circuit's node voltages (as in classical nodal analysis), but also...
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  • a smooth structure on a manifold allows for an unambiguous notion of smooth function. In particular, a smooth structure allows mathematical analysis to...
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  • Thumbnail for Smoothed-particle hydrodynamics
    Smoothed-particle hydrodynamics (SPH) is a computational method used for simulating the mechanics of continuum media, such as solid mechanics and fluid...
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  • the previous smoothed statistic s t − 1 {\displaystyle s_{t-1}} . Simple exponential smoothing is easily applied, and it produces a smoothed statistic as...
    27 KB (4,349 words) - 17:15, 1 June 2025
  • including computational complexity theory, logic of programming languages, analysis of algorithms, cryptography, computer vision, pattern recognition, information...
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  • quotient Complexity: Computational complexity of mathematical operations Smoothed analysis — measuring the expected performance of algorithms under slight random...
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  • Thumbnail for Peter Bürgisser
    scholar at ETH Zurich. In 2010, he was an invited speaker with talk Smoothed Analysis of Condition Numbers at the International Congress of Mathematicians...
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  • Thumbnail for Smoothness
    In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives (differentiability class) it has...
    25 KB (3,930 words) - 22:46, 20 March 2025
  • Thumbnail for Mathematical analysis
    Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite...
    45 KB (4,391 words) - 07:02, 23 April 2025
  • Thumbnail for Data analysis
    Data analysis is the process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information, informing conclusions...
    66 KB (7,188 words) - 14:10, 8 June 2025
  • probability when additively smoothed is p i , α -smoothed = x i + α N + α d , {\displaystyle p_{i,\alpha {\text{-smoothed}}}={\frac {x_{i}+\alpha }{N+\alpha...
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  • Thumbnail for Principal component analysis
    Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data...
    117 KB (14,851 words) - 06:44, 17 June 2025
  • Average true range (category Technical analysis)
    true range is an N-period smoothed moving average (SMMA) of the true range values. Wilder recommended a 14-period smoothing. The range of a day's trading...
    4 KB (604 words) - 10:25, 15 June 2025
  • Thumbnail for Trix (technical analysis)
    derivative) of a triple-smoothed exponential moving average. The name Trix is from "triple exponential." TRIX is a triple smoothed exponential moving average...
    4 KB (584 words) - 20:18, 10 March 2024
  • using a definition of a short-term trend by smoothing the data and allowing for one deviation in the smoothed trend. They then considered eight major three-day...
    58 KB (7,266 words) - 21:43, 14 June 2025
  • algorithm "Analysis of the Jane Curve", an applied mathematics article by Norbert Schappacher referring to a surface that is infinitely smooth. Smooth (singer)...
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  • Thumbnail for Thermogravimetric analysis
    versus either temperature or time on the x-axis. This plot, which is often smoothed, is referred to as a TGA curve. The first derivative of the TGA curve (the...
    17 KB (1,677 words) - 21:30, 13 November 2024
  • Node-based Smoothed FEM (NS-FEM) Edge-based Smoothed FEM (ES-FEM) Face-based Smoothed FEM (FS-FEM) Cell-based Smoothed FEM (CS-FEM) Node/Edge-based Smoothed FEM...
    16 KB (2,421 words) - 09:53, 15 April 2025
  • Thumbnail for Regression analysis
    In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships between a dependent variable (often called...
    37 KB (5,235 words) - 03:23, 20 June 2025