6969 .review p : nth-child (2 ) { text-align : right}
7070 code : not (pre code ) {background : # f0f0f0 ; border : 1px solid # ccc ; border-radius : .5em ; padding : .2em .5em ; color : maroon}
7171 .intro ul {padding-left : 4em }
72- .intro li {margin-bottom : 1em ; list-style : none; }
73- .intro li : before {display : inline-block; content : '👉' ; margin-left : -1.4em ; margin-right : .4em ; font-size : 2em ; vertical-align : middle}
74-
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74+ .intro ol .footnotes li { list-style : none; line-height : 1.3em ; font-size : .7em }
75+ .intro ol .footnotes cite {font-style : normal}
76+ a [href *= "fn" ] {text-decoration : none; color : unset; font-size : .9em }
7577
7678 .hljs { background : black !important ; color : # eee !important ; filter : brightness (1.5 )}
7779 .snippet {
122124 table tfoot th {font-weight : normal}
123125 table tfoot ul , # benchmark ul {margin : 0 }
124126
125- math {font-family : "DejaVu Math TeX Gyre" , "Noto Sans Math" , "Latin Modern Math" , "Cambria Math" , "STIX Math" , system-ui, math ;}
127+ math {font-family : "DejaVu Math TeX Gyre" , "Latin Modern Math" , "Cambria Math" , "STIX Math" , "Noto Sans Math" , math , system-ui;}
126128 </ style >
127129
128130
144146 < meta property ="applicationCategory " content ="DeveloperApplication ">
145147 < meta property ="applicationCategory " content ="EducationalApplication ">
146148 < meta property ="name " content ="SAMBO ">
147- < meta property ="alternateName " content ="Sequential And Model-Based Optimization ">
149+ < meta property ="alternateName " content ="Sequential and Model-Based Optimization ">
148150 < link rel ="isSimilarTo " href ="https://docs.scipy.org/doc/scipy/reference/optimize.html ">
149151 < link rel ="isSimilarTo " href ="https://scikit-optimize.github.io/ ">
150152
@@ -207,18 +209,18 @@ <h2>Sequential and model-based optimization [for Python]</h2>
207209 objective criteria function quickly and efficiently,
208210 in least number of evaluations.
209211
210- SAMBO stands for < b > Sequential And Model-Based Optimization</ b > .
212+ SAMBO stands for < b > Sequential and Model-Based Optimization</ b > .
211213 This simple optimization package consists of the following items, each with its own neat,
212214 user-friendly, Pythonic interface:
213215 </ p >
214216 < ul >
215217 < li > < b > function < code > sambo.minimize()</ code > </ b >
216- to drive < b > constrained and bounded global black-box optimization</ b > and design-space exploration start-to-finish ,
217- modeled after well-known Python packages < b > SciPy</ b > and < b > scikit-optimize</ b > ,
218- supporting < abbr title ="state-of-the-art "> SOTA</ abbr > optimization algorithms like
219- < abbr title ="Simplex Homology Global Optimization "> SHGO</ abbr > ,
220- < abbr title ="sequential, model-based optimization "> SMBO</ abbr > and
221- < abbr title ="Shuffled Complex Evolution method, as devised at University of Arizona "> SCE-UA</ abbr > ,
218+ to drive < b > constrained and bounded global black-box optimization</ b > , design-space exploration and model calibration ,
219+ modeled after well-known Python packages < b > SciPy</ b > and < b > scikit-optimize</ b > ,< a href =" #fn1 " > < sup > 1 </ sup > </ a >
220+ supporting < abbr title ="state-of-the-art; here literally, the best "> SOTA</ abbr > optimization algorithms like
221+ < abbr title ="Simplicial Homology Global Optimization "> < b > SHGO</ b > </ abbr > ,< a href =" #fn2 " > < sup > 2 </ sup > </ a >
222+ < abbr title ="sequential, model-based optimization "> < b > SMBO</ b > </ abbr > < a href =" #fn3 " > < sup > 3 </ sup > </ a > and
223+ < abbr title ="Shuffled Complex Evolution method, as devised at University of Arizona "> < b > SCE-UA</ b > </ abbr > ,< a href =" #fn4 " > < sup > 4 </ sup > </ a >
222224 </ li >
223225 < li >
224226 < b > class < code > Optimizer</ code > </ b > that provides an
@@ -235,6 +237,12 @@ <h2>Sequential and model-based optimization [for Python]</h2>
235237 </ li >
236238 </ ul >
237239 < p > See below < a href ="#examples "> examples</ a > for usage.</ p >
240+ < ol class ="footnotes ">
241+ < li id ="fn1 "> < sup > 1</ sup > < cite > scikit-optimize/scikit-optimize. DOI: < a href ="https://doi.org/10.5281/zenodo.1157319 "> 10.5281/zenodo.1157319</ a > </ cite > </ li >
242+ < li id ="fn2 "> < sup > 2</ sup > < cite > SHGO: Simplicial homology global optimization. DOI: < a href ="https://doi.org/10.1007/s10898-018-0645-y "> 10.1007/s10898-018-0645-y</ a > </ cite > </ li >
243+ < li id ="fn3 "> < sup > 3</ sup > < cite > SMBO: Sequential Model-Based Optimization for General Algorithm Configuration. DOI: < a href ="https://doi.org/10.1007/978-3-642-25566-3_40 "> 10.1007/978-3-642-25566-3 40</ a > </ cite > </ li >
244+ < li id ="fn4 "> < sup > 4</ sup > < cite > SCE-UA: Effective and efficient global optimization for conceptual rainfall-runoff models. DOI: < a href ="https://doi.org/10.1029/91WR02985 "> 10.1029/91WR02985</ a > </ cite > </ li >
245+ </ ol >
238246 </ div >
239247
240248 < div class ="features columns " property ="featureList ">
@@ -243,14 +251,14 @@ <h2>Sequential and model-based optimization [for Python]</h2>
243251 < div class ="icon "> < svg xmlns ="http://www.w3.org/2000/svg " viewBox ="0 0 20 20 "> < title > Python logo</ title > < path fill-rule ="evenodd " d ="M12.7 18.5a.9.9 0 0 1-.8-1 .9.9 0 1 1 1.7 0c0 .6-.4 1-.9 1M10.1 20c5 0 4.7-2.2 4.7-2.2v-2.3H10v-.7h6.8s3.2.4 3.2-4.8c0-5.1-2.8-5-2.8-5h-1.7v2.4s0 2.9-2.8 2.9H7.9s-2.7 0-2.7 2.6v4.4S4.8 20 10 20M7.3 1.5c.4 0 .8.4.8 1a.9.9 0 1 1-1.7 0c0-.6.4-1 .9-1M9.9 0C5 0 5.2 2.2 5.2 2.2v2.3H10v.7H3.2S0 4.8 0 10c0 5.1 2.8 5 2.8 5h1.7v-2.4s0-2.9 2.8-2.9h4.8s2.7 0 2.7-2.6V2.7S15.2 0 10 0 "/> </ svg > </ div >
244252 < div >
245253 < p > < b > Compatible with < span property ="softwareRequirements "> Python</ span > 3+</ b > </ p >
246- < p > Python 3.10+. Best choice for new and forward-looking projects.</ p >
254+ < p > Python 3.10+ — Best choice for new and forward-looking projects.</ p >
247255 </ div >
248256 </ li >
249257 < li class ="flex ">
250258 < div class ="icon "> < svg xmlns ="http://www.w3.org/2000/svg " viewBox ="0 0 512 512 "> < title > LEGO brick</ title > < path d ="M280 129c-7-3-15-5-24-5-12 0-23 3-31 9-4 3-8 6-11 11-2 4-4 9-4 14v39c0 6 2 11 4 15 4 6 10 11 17 14s16 5 25 5c12 0 22-3 31-9 4-2 7-6 10-10s4-9 4-14l1-40c0-5-2-10-5-14-4-6-10-11-17-15zm4 68-2 6-9 7c-5 2-11 3-17 3-9 0-16-2-21-5l-6-6-1-5v-16l5 3a54 54 0 0 0 51-3v16zm0-39v9c-2 3-6 5-10 7a42 42 0 0 1-41-3l-5-4v-9c0-2 0-3 2-5 1-3 4-5 9-7 5-3 10-4 17-4 8 0 16 3 21 6l5 5 2 5zM102 76v-1 1z "/> < path d ="M421 102c0-5-2-10-4-14h-1 1c-5-7-13-13-21-17-8-3-17-5-27-5l-18 2-42-20c-1-6-3-12-6-17-4-7-11-13-19-17h-1 1c-8-4-18-6-27-6v1-1h-1c-13 0-25 4-35 10-4 3-9 7-12 12s-5 11-5 18l-46 21c-6-2-14-3-22-3-13 0-25 3-34 10-5 3-10 7-13 12l1-1-1 1c-3 5-5 11-5 17L0 145v237l256 122 256-122V145l-91-43zm-79 6 1-5 6-6h1l4-2 15-3c8 0 16 3 20 6l5 4 1 4v11l-7 5c-5 2-12 4-19 4-9 0-17-3-23-7l-4-4v-7zm-1 39v-18l5 3c7 3 15 5 23 5 11 0 21-3 28-8v18l-1 5c-2 3-5 6-10 8-4 2-10 3-17 3-8 0-16-2-21-6l-5-5-2-5zM231 49l1-4c1-2 4-5 8-7s10-3 16-3c8 0 16 3 20 6l5 4 1 4v11l-7 5c-5 2-12 4-19 4-9 0-17-3-23-6l-3-3 1-11zm-3 39V73l5 2c7 3 15 5 23 5h1c10 0 20-3 27-8v17l-2 4c-1 3-5 6-9 8-5 2-10 3-17 3-9 0-16-2-21-6l-5-5-2-5zm-117 18 1-4c1-2 4-4 9-6 4-2 9-4 15-4 7 0 13 2 18 4l5 3 4 4 1 5v7l-9 7c-5 2-12 4-19 4-9 0-17-3-22-7l-3-2v-11zm-3 41 1-18 5 3a53 53 0 0 0 51-3l-1 18-1 5c-2 2-5 5-10 7-4 3-10 4-17 4-8 0-16-3-21-6l-5-5-2-5zm137 322L27 365V172l218 103v194zm11 5h-1 2-1zm0-218L42 154l49-23v16c0 5 1 10 4 14 4 6 10 11 17 14a55 55 0 0 0 55-4c5-2 8-5 11-10 2-4 4-9 4-14v-39a27 27 0 0 0-6-17l34-17v14c0 5 2 10 4 14 4 6 10 11 17 15 7 3 16 5 24 5h1c12 0 23-3 31-9 4-2 8-6 10-10 3-4 5-9 5-14V75l30 14-4 4c-3 5-4 10-4 15v39c0 5 1 10 4 15 4 6 10 11 17 14s15 5 24 5c12 0 23-3 31-9 4-2 8-6 11-10 2-4 4-9 4-15v-19l55 26-214 102z "/> </ svg > </ div >
251259 < div >
252260 < p > < b > Small, clean API</ b > </ p >
253- < p > The < a href ="doc/sambo/ "> API reference</ a > follows established idiomatic Python doctrine and is easy to wrap one's head around.</ p >
261+ < p > The < a href ="doc/sambo/ "> API reference</ a > follows established idiomatic Python doctrine and is < b > easy to wrap one's head around</ b > .</ p >
254262 </ div >
255263 </ li >
256264 < li class ="flex ">
@@ -272,7 +280,7 @@ <h2>Sequential and model-based optimization [for Python]</h2>
272280 < div class ="icon "> < svg xmlns ="http://www.w3.org/2000/svg " fill ="none " viewBox ="0 0 24 24 "> < title > stopwatch</ title > < path stroke ="#000 " stroke-linecap ="round " stroke-linejoin ="round " stroke-width ="2 " d ="M12 14v-3m0-5a7.5 7.5 0 1 0 5.5 2.5M12 6c2.2 0 4.2 1 5.5 2.5M12 6V3m7.5 3.5-2 2M12 3H9m3 0h3 "/> </ svg > </ div >
273281 < div >
274282 < p > < b > Blazing fast execution</ b > </ p >
275- < p > On top of that, fewest objective function evaluations or your money back! < a href ="#benchmark "> Benchmark</ a > to prove it.</ p >
283+ < p > On top of that, < b > fewest objective function evaluations or your money back!</ b > < a href ="#benchmark "> Benchmark</ a > to prove it.</ p >
276284 </ div >
277285 </ li >
278286 < li class ="flex ">
@@ -294,7 +302,7 @@ <h2>Sequential and model-based optimization [for Python]</h2>
294302 < div class ="icon "> < svg xmlns ="http://www.w3.org/2000/svg " viewBox ="0 0 105.86 66.74 "> < title > gauge</ title > < path stroke ="#000 " stroke-width ="4 " d ="M78.46 8.81A51.06 51.06 0 0 0 2 53c0 1.05.8 1.85 2.12 1.85h37.3a11.64 11.64 0 0 0 23.02 0h37.57a1.8 1.8 0 0 0 1.85-1.85 50.7 50.7 0 0 0-25.4-44.2zM41.42 50.88H5.97a47.28 47.28 0 0 1 21.7-37.57l17.72 30.43a12.89 12.89 0 0 0-3.97 7.14zm11.64 9.79a7.8 7.8 0 1 1 0-15.61 7.8 7.8 0 0 1 0 15.61zm3.97-18.79a11 11 0 0 0-8.2 0L31.1 11.2a47.14 47.14 0 0 1 43.66 0zm6.88 6.62-1.32-2.65 5.3-1.32zm3.18 2.38 9-8.73c1.58-1.32 0-3.97-1.86-3.44l-12.7 3.44L78.2 13.3a47.28 47.28 0 0 1 21.7 37.57z "/> < path d ="M83.76 33.68a3.7 3.7 0 1 0-6.09 2.38l4.76 5.3c.8.79 1.86.79 2.65 0l5.03-5.3a3.7 3.7 0 1 0-6.35-2.38z "/> </ svg > </ div >
295303 < div >
296304 < p > < b > Approximate, but converging</ b > </ p >
297- < p > Converging to the correct optimum, but you decide what the tolerable error is! </ p >
305+ < p > Stochastic processes converge to the correct optimum. Error tolerance for you to decide. </ p >
298306 </ div >
299307 </ li >
300308 < li class ="flex ">
@@ -513,8 +521,8 @@ <h3>Benchmark</h3>
513521 According to our < a href ="https://github.com/sambo-optimization/sambo/blob/master/benchmark "> benchmark</ a >
514522 (< a href ="benchmark.txt "> full stdout output</ a > )
515523 of most common optimization algorithm implementations
516- on several popular global optimization functions, including a few multi-dimensional (2–10D),
517- < b > < cite > SAMBO</ cite > more often converges to correct global optimum,
524+ on several popular global optimization functions, including a few multi-dimensional ones (2–10D),
525+ < b > < cite > SAMBO</ cite > most often converges to correct global optimum,
518526 in fewest total objective evaluations,
519527 yielding smallest absolute error,
520528 with runtime just as fast as that of the best</ b > .
@@ -558,7 +566,7 @@ <h3>Benchmark</h3>
558566 < mo stretchy ="false "> (</ mo > < mi > x</ mi > < mo stretchy ="false "> )</ mo >
559567 < mo > =</ mo >
560568 < mrow >
561- < mo > {</ mo >
569+ < mo stretchy =" true " > {</ mo >
562570 < mtable columnalign ="center ">
563571 < mtr >
564572 < mtd > < mi > f</ mi > < mo > (</ mo > < mi > x</ mi > < mo > )</ mo > </ mtd >
@@ -606,7 +614,7 @@ <h3>Citation</h3>
606614 < p > If you find this package useful in your academic research, please consider citing:</ p >
607615 < pre > < code class ="text "> @software{SAMBO,
608616 author = {Kernc},
609- title = {SAMBO: Sequential And Model-Based Optimization: Efficient global optimization in Python},
617+ title = {SAMBO: Sequential and Model-Based Optimization: Efficient global optimization in Python},
610618 url = {https://sambo-optimization.github.io},
611619 doi = {https://doi.org/10.5281/zenodo.14461363},
612620 year = {2024}
@@ -635,7 +643,7 @@ <h3>What Users are Saying</h3>
635643 < blockquote class ="review " style ="flex-basis: 40%; " property ="review " typeof ="Review ">
636644 < p property ="reviewRating " typeof ="Rating "> < meta property ="ratingValue " content ="4.8 ">
637645 After scikit-optimize went < abbr title ="missing in action "> MIA</ abbr > , the release of this Bayesian optimization software package is just about < em > optimally</ em > timed.</ p >
638- < p property ="author "> B. Kralz</ p >
646+ < p property ="author " typeof =" Person " > < span property =" name " > B. Kralz</ span > </ p >
639647 </ blockquote >
640648 </ div >
641649</ section >
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