In mathematical optimization, the proximal operator is an operator associated with a proper,[note 1] lower semi-continuous convex function from a Hilbert space
to , and is defined by: [1]
For any function in this class, the minimizer of the right-hand side above is unique, hence making the proximal operator well-defined. The proximal operator is used in proximal gradient methods, which is frequently used in optimization algorithms associated with non-differentiable optimization problems such as total variation denoising.
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^Neal Parikh and Stephen Boyd (2013). "Proximal Algorithms" (PDF). Foundations and Trends in Optimization. 1 (3): 123–231. Retrieved 2019-01-29.
In mathematical optimization, the proximaloperator is an operator associated with a proper, lower semi-continuous convex function f {\displaystyle f}...
called proximal because each non-differentiable function among f 1 , . . . , f n {\displaystyle f_{1},...,f_{n}} is involved via its proximity operator. Iterative...
Proximal policy optimization (PPO) is an algorithm in the field of reinforcement learning that trains a computer agent's decision function to accomplish...
an algorithm to compute approximations to the proximaloperator of a function. ProximaloperatorProximal gradient method Moreau, J. J. (1965). "Proximité...
\varphi :{\mathcal {H}}\to \mathbb {R} } an important operator to consider is its proximaloperator prox φ : H → H {\displaystyle \operatorname {prox} _{\varphi...
computing the convex conjugate f i ∗ , {\displaystyle f_{i}^{*},} or its proximaloperator tractable. The standard SDCA method considers finite sums that have...
{\displaystyle B} are proximal; otherwise we say A {\displaystyle A} and B {\displaystyle B} are apart. We say B {\displaystyle B} is a proximal- or δ {\displaystyle...
closed under convex combinations, but not compositions. This class includes proximal mappings of proper, convex, lower-semicontinuous functions, hence it also...
the 5' end of the gene and is composed of a core promoter sequence and a proximal promoter sequence. The core promoter marks the start site for transcription...
duality, particularly in relation to proximal-point methods, Moreau–Yosida regularization, and maximal monotone operators; these methods were used in structural...
incisors. Class II Caries affecting proximal surfaces of molars and premolars. Class III Caries affecting proximal surfaces of centrals, laterals, and...
domain name of the URL is translated to the IP address of a server that is proximal to the user. The key functionality of the DNS exploited here is that different...
was statistically more accurate, they showed significantly better inter-proximal contact. The entire process proved to be more time efficient for both the...
Quietside. On 3 November 2014, Samsung[who?] announced it had acquired Proximal Data, Inc., a San Diego, California-based pioneer of server-side caching...
first feature being the region at the up-drift end or proximal end (Hart et al., 2008). The proximal end is constantly attached to land (unless breached)...
filtration at the glomerulus or reduced reabsorption of sodium and water by the Proximal Convoluted Tubule causes the tubular fluid at the macula densa to have...
preparation and cleansing. The main aim of this study is to distend the proximal bowel through infusion of large amount of barium suspension. Otherwise...
Bregman method — row-action method for strictly convex optimization problems Proximal gradient method — use splitting of objective function in sum of possible...
J.; Tubbs, R. Shane (2014). "Yubitsume: ritualistic self-amputation of proximal digits among the Yakuza". Journal of Injury and Violence Research. 6 (2):...
animal still to minimise the risk of injury to both the animal and the operator while work on the animal is performed. Crushes were traditionally manufactured...
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