• Basis pursuit is the mathematical optimization problem of the form min x ‖ x ‖ 1 subject to y = A x , {\displaystyle \min _{x}\|x\|_{1}\quad {\text{subject...
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  • In applied mathematics and statistics, basis pursuit denoising (BPDN) refers to a mathematical optimization problem of the form min x ( 1 2 ‖ y − A x...
    4 KB (562 words) - 13:55, 5 January 2024
  • criterion. It was used in matching pursuit in 1993, the LASSO estimator by Robert Tibshirani in 1996 and basis pursuit in 1998. At first glance, compressed...
    46 KB (5,872 words) - 22:03, 28 August 2024
  • Bayesian statistics and convex analysis. The LASSO is closely related to basis pursuit denoising. Lasso was introduced in order to improve the prediction accuracy...
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  • Thumbnail for Life, Liberty and the pursuit of Happiness
    "Life, Liberty and the pursuit of Happiness" is a well-known phrase from the United States Declaration of Independence. The phrase gives three examples...
    21 KB (2,310 words) - 10:36, 13 August 2024
  • program Basis pursuit — minimize L1-norm of vector subject to linear constraints Basis pursuit denoising (BPDN) — regularized version of basis pursuit In-crowd...
    70 KB (8,336 words) - 05:14, 24 June 2024
  • is transferred to a sparse space, different recovery algorithms like basis pursuit, CoSaMP, or fast non-iterative algorithms can be used to recover the...
    23 KB (3,495 words) - 01:24, 19 November 2024
  • {1}{2}}\|x-D\alpha \|_{2}^{2},} which is known as the basis pursuit denoising. Similarly, matching pursuit can be used for approximating the solution of the...
    15 KB (2,212 words) - 07:57, 18 July 2024
  • Thumbnail for Regularization (mathematics)
    of least squares, this problem is known as LASSO in statistics and basis pursuit in signal processing. min w ∈ R p 1 n ‖ X ^ w − Y ^ ‖ 2 + λ ‖ w ‖ 1...
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  • Hot pursuit (also known as fresh or immediate pursuit) is the urgent and direct pursuit of a criminal suspect by law enforcement officers, or by belligerents...
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  • including YALL1 (2009), SpaRSA (2009) and SALSA (2009), which solve Basis pursuit and variants and use the ADMM. There are also packages which use the...
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  • different methods of signal recovery in compressed sensing including basis pursuit, expander recovery algorithm, CoSaMP and also fast non-iterative algorithm...
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  • measure of the ability of suboptimal algorithms such as matching pursuit and basis pursuit to correctly identify the true representation of a sparse signal...
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  • Thumbnail for Total variation denoising
    first image of a black hole. Anisotropic diffusion Bounded variation Basis pursuit denoising Chambolle-Pock algorithm Digital image processing Lasso (statistics)...
    9 KB (1,291 words) - 20:53, 5 October 2024
  • computationally tractable, especially in basis pursuit-type problems. In the case of a generic basis pursuit problem min μ | u | 1 + 1 2 | A u − f | 2...
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  • In the scientific study of vision, smooth pursuit describes a type of eye movement in which the eyes remain fixated on a moving object. It is one of two...
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  • The in-crowd algorithm is a numerical method for solving basis pursuit denoising quickly; faster than any other algorithm for large, sparse problems....
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  • Thumbnail for Matching pursuit
    Matching pursuit (MP) is a sparse approximation algorithm which finds the "best matching" projections of multidimensional data onto the span of an over-complete...
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  • projected gradient descent algorithms such as orthonormal matching pursuit (OMP) and basis pursuit (BP), while performing in a local fashion Besides its versatility...
    38 KB (6,082 words) - 09:32, 29 May 2024
  • Thumbnail for Christopher Titus
    2013, at the Fresno Tower Theatre. Titus' sixth act was called Angry Pursuit of Happiness which was filmed on September 27, 2014 in Santa Barbara. This...
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  • Thumbnail for Cycling at the 2024 Summer Paralympics – Women's individual pursuit C1–3
    The women's individual pursuit class C1–3 track cycling event at the 2024 Summer Paralympics took place on 29 August 2024 at the Vélodrome National,...
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  • cautioning against becoming overly attached to desire, advocating for the pursuit of genuine happiness through transcending desires. The Atharvaveda, presents...
    86 KB (10,020 words) - 02:28, 14 November 2024
  • Thumbnail for Pursuit predation
    Pursuit predation is a form of predation in which predators actively give chase to their prey, either solitarily or as a group. It is an alternate predation...
    32 KB (4,173 words) - 13:43, 29 April 2024
  • Nonparametric Variable Selection and Model Building Via Likelihood Basis Pursuit. She joined the Department of Statistics at North Carolina State University...
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  • Thumbnail for Cycling at the 2024 Summer Paralympics – Women's pursuit B
    The women's individual pursuit class B track cycling event at the 2024 Summer Paralympics took place on 1 September 2024 at the Vélodrome National. This...
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  • Thumbnail for Cycling at the 2024 Summer Paralympics – Men's pursuit B
    The men's individual pursuit class B track cycling event at the 2024 Summer Paralympics took place on 29 August 2024 at the Vélodrome National. This class...
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  • Thumbnail for Capital accumulation
    Capital accumulation is the dynamic that motivates the pursuit of profit, involving the investment of money or any financial asset with the goal of increasing...
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  • Cunningham (2002). "Positron Emission Tomography Compartmental Models: A Basis Pursuit Strategy for Kinetic Modeling". J. Cereb. Blood Metab. 22 (4): 1425–1439...
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  • Thumbnail for Azamara Pursuit
    Azamara Pursuit (previously R Eight, Minerva II, Royal Princess and Adonia) is a cruise ship operating for Azamara Club Cruises. The ship was built by...
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  • _{i=1}^{n}V(y_{i},w,x_{i})+\lambda \|w\|_{1}} Such a scheme is called basis pursuit or the Lasso, which substitutes the ℓ 0 {\displaystyle \ell _{0}} "norm"...
    24 KB (3,812 words) - 20:48, 26 October 2023