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background-size:cover!important;background-position:center!important; color:#193645; }\/* nd-shared-components:end *\/\n<\/style>\n<div class=\"ndb\">\n<div class=\"ndb-wrap\">\n<section class=\"ndb-executive\">\n<h2>Estimating gas-turbine NOx from operating measurements<\/h2>\n<p>An emissions estimator can support analysis of turbine operating conditions alongside physical measurements. This example predicts NOx from environmental and process variables and tests a selected neural network on held-out records.<\/p>\n<div class=\"ndb-kpis\">\n<div class=\"ndb-kpi\"><strong>36,733<\/strong><span>Source records<\/span><\/div>\n<div class=\"ndb-kpi\"><strong>10<\/strong><span>Final input features<\/span><\/div>\n<div class=\"ndb-kpi\"><strong>7,346<\/strong><span>Test observations<\/span><\/div>\n<div class=\"ndb-kpi\"><strong>0.842<\/strong><span>Test prediction R\u00b2<\/span><\/div>\n<\/div>\n<div class=\"ndb-actions\"><a class=\"aui aui-button\" href=\"#7-model-deployment\">Explore the model<\/a><a class=\"aui aui-button aui-button--secondary\" href=\"https:\/\/www.neuraldesigner.com\/wp-content\/uploads\/2026\/09\/nox-emissions-data-20260921.csv\">Download the data<\/a><\/div>\n<\/section>\n<ul class=\"ndb-toc\">\n<li><a href=\"#1-industrial-challenge\">Industrial challenge<\/a><\/li><li><a href=\"#2-data-set\">Data set<\/a><\/li><li><a href=\"#3-model\">Model<\/a><\/li><li><a href=\"#4-training\">Training<\/a><\/li><li><a href=\"#5-selection\">Model selection<\/a><\/li><li><a href=\"#6-testing\">Testing<\/a><\/li><li><a href=\"#7-model-deployment\">Deployment<\/a><\/li><li><a href=\"#8-limitations\">Limitations<\/a><\/li>\n<\/ul>\n<section id=\"1-industrial-challenge\" class=\"ndb-card\"><h2>1. Industrial challenge<\/h2><p>Gas-turbine operating data can support an emissions estimator when direct measurements and operating context remain available. The example examines NOx error and a local response to turbine after temperature.<\/p><div class=\"ndb-value-grid\"><div class=\"ndb-value\"><h3>Operating conditions<\/h3><p>Use ten inputs from the prepared turbine records.<\/p><\/div><div class=\"ndb-value\"><h3>Emission estimate<\/h3><p>Assess NOx predictions and errors in the dataset units.<\/p><\/div><div class=\"ndb-value\"><h3>Local response<\/h3><p>Inspect the directional curve at its fixed reference operating point.<\/p><\/div><\/div><div class=\"ndb-audience\"><span>Power generation<\/span><span>Emissions monitoring<\/span><span>Process engineering<\/span><\/div><div class=\"ndb-note\">The saved split does not establish transfer to future years or another turbine. Use time-blocked or equipment-level validation, review sensor quality and evaluate extreme regimes. A directional response holds other variables fixed and is not a physically validated operating intervention or a compliance instrument.<\/div><\/section>\n<section id=\"2-data-set\" class=\"ndb-card\"><h2>2. Data set<\/h2><p>The prepared dataset contains 36,733 records from the UCI Gas Turbine CO and NOx Emission dataset. The supplied final model retains ten inputs and selects ten hidden neurons. It was trained with the Quasi-Newton method recorded in the new report.<\/p><p>The downloadable project, saved report and supplied source CSV define the exact version used here. Repository: <a href=\"https:\/\/doi.org\/10.24432\/C5WC95\">original dataset\/source record<\/a>. <\/p><div class=\"nd-table-scroll\" tabindex=\"0\"><table><thead><tr><th scope=\"col\">Subset<\/th><th scope=\"col\">Records<\/th><\/tr><\/thead><tbody><tr><th scope=\"row\">Training<\/th><td>22041<\/td><\/tr><tr><th scope=\"row\">Validation \/ selection<\/th><td>7346<\/td><\/tr><tr><th scope=\"row\">Testing<\/th><td>7346<\/td><\/tr><tr><th scope=\"row\">Unused<\/th><td>0<\/td><\/tr><\/tbody><\/table><\/div><div class=\"nd-table-scroll\" tabindex=\"0\"><table><thead><tr><th scope=\"col\">Variable<\/th><th scope=\"col\">Role<\/th><th scope=\"col\">Type<\/th><th scope=\"col\">Encoding<\/th><th scope=\"col\">Unit<\/th><\/tr><\/thead><tbody><tr><th scope=\"row\">ambient_temperature<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">ambient_pressure<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">ambient_humidity<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">air_filter_difference_pressure<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">gas_turbine_exhaust_pressure<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">turbine_inlet_temperature<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">turbine_after_temperature<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">turbine_energy_yield<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">compressor_discharge_pressure<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">CO<\/th><td>Input<\/td><td>Numeric<\/td><td><\/td><td>As supplied<\/td><\/tr><tr><th scope=\"row\">NOx<\/th><td>Target<\/td><td>Numeric<\/td><td><\/td><td>mg\/m\u00b3<\/td><\/tr><\/tbody><\/table><\/div><figure class=\"nd-native-figure\"><div class=\"nd-chart-bundle\" tabindex=\"0\" role=\"group\" aria-label=\"Interactive chart; scroll horizontally on narrow screens\" data-native-chart=\"nd-nox-emissions-t0-s11-20260921\"><div class=\"nd-chart-host\" id=\"nd-nox-emissions-t0-s11-20260921\" role=\"img\" aria-label=\"NOx distribution\"><\/div><p class=\"nd-chart-fallback\">Interactive chart: NOx distribution. Enable JavaScript to explore it.<\/p><script type=\"application\/json\">{\"config\":{\"displayModeBar\":true,\"displaylogo\":false,\"editable\":false,\"responsive\":true,\"scrollZoom\":true,\"toImageButtonOptions\":{\"filename\":\"neural-designer-chart\",\"format\":\"svg\"}},\"data\":[{\"marker\":{\"color\":\"#209fdf\"},\"name\":\"\",\"opacity\":1,\"showlegend\":false,\"type\":\"bar\",\"x\":[\"30.6\",\"40\",\"49.4\",\"58.8\",\"68.2\",\"77.6\",\"87\",\"96.4\",\"106\",\"115\"],\"y\":[0,0.800000011920929,14.699999809265137,33.099998474121094,29.600000381469727,14.300000190734863,4.699999809265137,1.399999976158142,0.8999999761581421,0.6000000238418579]}],\"layout\":{\"autosize\":true,\"font\":{\"color\":\"#30343b\",\"family\":\"Arial, sans-serif\",\"size\":14},\"hovermode\":\"closest\",\"margin\":{\"b\":68,\"l\":72,\"pad\":4,\"r\":36,\"t\":112},\"paper_bgcolor\":\"#ffffff\",\"plot_bgcolor\":\"#ffffff\",\"title\":{\"automargin\":true,\"pad\":{\"t\":48},\"text\":\"NOx histogram\",\"x\":0.5,\"xanchor\":\"center\",\"y\":1,\"yanchor\":\"top\",\"yref\":\"container\"},\"xaxis\":{\"automargin\":true,\"categoryarray\":[\"30.6\",\"40\",\"49.4\",\"58.8\",\"68.2\",\"77.6\",\"87\",\"96.4\",\"106\",\"115\"],\"categoryorder\":\"array\",\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"title\":{\"text\":\"Bin center\"},\"type\":\"category\",\"zerolinecolor\":\"#aeb6c2\"},\"yaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[0,40.01],\"title\":{\"text\":\"% frequency\"},\"zerolinecolor\":\"#aeb6c2\"}}}<\/script><\/div><figcaption>NOx distribution. Exported with Neural Designer from the saved task report.<\/figcaption><\/figure><figure class=\"nd-native-figure\"><div class=\"nd-chart-bundle\" tabindex=\"0\" role=\"group\" aria-label=\"Interactive chart; scroll horizontally on narrow screens\" data-native-chart=\"nd-nox-emissions-t1-s1-20260921\"><div class=\"nd-chart-host\" id=\"nd-nox-emissions-t1-s1-20260921\" role=\"img\" aria-label=\"NOx Pearson correlations chart\"><\/div><p class=\"nd-chart-fallback\">Interactive chart: NOx Pearson correlations chart. Enable JavaScript to explore it.<\/p><script type=\"application\/json\">{\"config\":{\"displayModeBar\":true,\"displaylogo\":false,\"editable\":false,\"responsive\":true,\"scrollZoom\":true,\"toImageButtonOptions\":{\"filename\":\"neural-designer-chart\",\"format\":\"svg\"}},\"data\":[{\"marker\":{\"color\":\"#209fdf\"},\"name\":\"\",\"opacity\":1,\"orientation\":\"h\",\"showlegend\":false,\"type\":\"bar\",\"x\":[-0.5640000104904175,-0.22100000083446503,-0.2160000056028366,-0.21199999749660492,-0.17499999701976776,-0.11999999731779099,-0.09279999881982803,0.16500000655651093,0.19200000166893005,0.3409999907016754],\"y\":[\"ambient_temperature\",\"air_filter_difference_pressure\",\"turbine_inlet_temperature\",\"gas_turbine_exhaust_pressure\",\"compressor_discharge_pressure\",\"turbine_energy_yield\",\"turbine_after_temperature\",\"ambient_humidity\",\"ambient_pressure\",\"CO\"]}],\"layout\":{\"autosize\":true,\"font\":{\"color\":\"#30343b\",\"family\":\"Arial, sans-serif\",\"size\":14},\"hovermode\":\"closest\",\"margin\":{\"b\":68,\"l\":72,\"pad\":4,\"r\":36,\"t\":112},\"paper_bgcolor\":\"#ffffff\",\"plot_bgcolor\":\"#ffffff\",\"title\":{\"automargin\":true,\"pad\":{\"t\":48},\"text\":\"NOx Pearson correlations chart\",\"x\":0.5,\"xanchor\":\"center\",\"y\":1,\"yanchor\":\"top\",\"yref\":\"container\"},\"xaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[-1,1],\"title\":{\"text\":\"Correlation\"},\"zerolinecolor\":\"#aeb6c2\"},\"yaxis\":{\"automargin\":true,\"autorange\":\"reversed\",\"categoryarray\":[\"ambient_temperature\",\"air_filter_difference_pressure\",\"turbine_inlet_temperature\",\"gas_turbine_exhaust_pressure\",\"compressor_discharge_pressure\",\"turbine_energy_yield\",\"turbine_after_temperature\",\"ambient_humidity\",\"ambient_pressure\",\"CO\"],\"categoryorder\":\"array\",\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"type\":\"category\",\"zerolinecolor\":\"#aeb6c2\"}}}<\/script><\/div><figcaption>NOx Pearson correlations chart. Exported with Neural Designer from the saved task report.<\/figcaption><\/figure><figure class=\"nd-native-figure\"><div class=\"nd-chart-bundle\" tabindex=\"0\" role=\"group\" aria-label=\"Interactive chart; scroll horizontally on narrow screens\" data-native-chart=\"nd-nox-emissions-t2-s1-20260921\"><div class=\"nd-chart-host\" id=\"nd-nox-emissions-t2-s1-20260921\" role=\"img\" aria-label=\"NOx vs. ambient_temperature scatter chart\"><\/div><p class=\"nd-chart-fallback\">Interactive chart: NOx vs. ambient_temperature scatter chart. 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sans-serif\",\"size\":14},\"hovermode\":\"closest\",\"margin\":{\"b\":68,\"l\":72,\"pad\":4,\"r\":36,\"t\":112},\"paper_bgcolor\":\"#ffffff\",\"plot_bgcolor\":\"#ffffff\",\"title\":{\"automargin\":true,\"pad\":{\"t\":48},\"text\":\"NOx vs. ambient_temperature scatter chart\",\"x\":0.5,\"xanchor\":\"center\",\"y\":1,\"yanchor\":\"top\",\"yref\":\"container\"},\"xaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[0,40.01],\"title\":{\"text\":\"ambient_temperature\"},\"zerolinecolor\":\"#aeb6c2\"},\"yaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[20,120.02],\"title\":{\"text\":\"NOx\"},\"zerolinecolor\":\"#aeb6c2\"}}}<\/script><\/div><figcaption>NOx vs. ambient_temperature scatter chart. Exported with Neural Designer from the saved task report.<\/figcaption><\/figure><div class=\"ndb-note\">This is internal validation using the saved record-level split. Grouped or temporal independence has not been established.<\/div><\/section>\n<section id=\"3-model\" class=\"ndb-card\"><h2>3. Model<\/h2><p>The final model has <strong>10 encoded input features<\/strong> and <strong>1 outputs<\/strong>. The following dimensions describe the final saved network.<\/p><div class=\"nd-table-scroll\" tabindex=\"0\"><table><thead><tr><th scope=\"col\">Layer<\/th><th scope=\"col\">Input shape<\/th><th scope=\"col\">Output shape<\/th><th scope=\"col\">Activation<\/th><\/tr><\/thead><tbody><tr><th scope=\"row\">Scaling<\/th><td>10<\/td><td>10<\/td><td>\u2014<\/td><\/tr><tr><th scope=\"row\">Dense<\/th><td>10<\/td><td>10<\/td><td>Tanh<\/td><\/tr><tr><th scope=\"row\">Dense<\/th><td>10<\/td><td>1<\/td><td>Identity<\/td><\/tr><tr><th scope=\"row\">Unscaling<\/th><td>1<\/td><td>1<\/td><td>\u2014<\/td><\/tr><tr><th scope=\"row\">Clamping<\/th><td>1<\/td><td>1<\/td><td>\u2014<\/td><\/tr><\/tbody><\/table><\/div><p>The final output is a continuous estimate. Scaling, unscaling and any bounds follow the saved implementation; the calculator does not silently impose physical constraints.<\/p><figure class=\"ndb-architecture-figure\" data-model-stage=\"initial\"><a href=\"https:\/\/www.neuraldesigner.com\/wp-content\/uploads\/2026\/09\/nd-nox-emissions-t3-s1-20260921.png\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" class=\"ndb-architecture\" src=\"https:\/\/www.neuraldesigner.com\/wp-content\/uploads\/2026\/09\/nd-nox-emissions-t3-s1-20260921.png\" alt=\"Estimating gas-turbine NOx from operating measurements: initial Neural Designer architecture\"><\/a><figcaption>Initial architecture before selection. Diagram labels show original variables; categorical expansion and the numeric layer dimensions are documented in the model table.<\/figcaption><\/figure><\/section>\n<section id=\"4-training\" class=\"ndb-card\"><h2>4. Training strategy<\/h2><p>The saved training configuration uses NormalizedSquaredError with QuasiNewton. Training minimizes the recorded objective; the validation subset monitors generalization during fitting. The testing subset is used for the evaluation below.<\/p><figure class=\"nd-native-figure\"><div class=\"nd-chart-bundle\" tabindex=\"0\" role=\"group\" aria-label=\"Interactive chart; scroll horizontally on narrow screens\" data-native-chart=\"nd-nox-emissions-t4-s2-20260921\"><div class=\"nd-chart-host\" id=\"nd-nox-emissions-t4-s2-20260921\" role=\"img\" aria-label=\"Quasi-Newton method error history\"><\/div><p class=\"nd-chart-fallback\">Interactive chart: Quasi-Newton method error history. Enable JavaScript to explore it.<\/p><script type=\"application\/json\">{\"config\":{\"displayModeBar\":true,\"displaylogo\":false,\"editable\":false,\"responsive\":true,\"scrollZoom\":true,\"toImageButtonOptions\":{\"filename\":\"neural-designer-chart\",\"format\":\"svg\"}},\"data\":[{\"connectgaps\":false,\"line\":{\"color\":\"#529cc2\",\"dash\":\"solid\",\"width\":2},\"mode\":\"lines\",\"name\":\"Training error\",\"opacity\":1,\"showlegend\":true,\"type\":\"scatter\",\"x\":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145],\"y\":[0.9940000176429749,0.9269999861717224,0.7670000195503235,0.7139999866485596,0.6650000214576721,0.5640000104904175,0.5270000100135803,0.5099999904632568,0.4830000102519989,0.4620000123977661,0.44200000166893005,0.4090000092983246,0.38499999046325684,0.3700000047683716,0.35100001096725464,0.3449999988079071,0.335999995470047,0.328000009059906,0.3240000009536743,0.3179999887943268,0.3109999895095825,0.30399999022483826,0.29600000381469727,0.289000004529953,0.28200000524520874,0.27799999713897705,0.2750000059604645,0.2720000147819519,0.2680000066757202,0.26600000262260437,0.2639999985694885,0.2630000114440918,0.2590000033378601,0.257999986410141,0.25699999928474426,0.25600001215934753,0.2549999952316284,0.2540000081062317,0.2529999911785126,0.25200000405311584,0.25200000405311584,0.25099998712539673,0.25,0.24799999594688416,0.24699999392032623,0.2460000067949295,0.24500000476837158,0.24500000476837158,0.24400000274181366,0.24400000274181366,0.24300000071525574,0.24300000071525574,0.24300000071525574,0.24199999868869781,0.2409999966621399,0.2409999966621399,0.2409999966621399,0.23999999463558197,0.23999999463558197,0.23899999260902405,0.23899999260902405,0.23800000548362732,0.23800000548362732,0.23800000548362732,0.23800000548362732,0.2370000034570694,0.2370000034570694,0.2370000034570694,0.23600000143051147,0.23600000143051147,0.23600000143051147,0.23600000143051147,0.23499999940395355,0.23499999940395355,0.23499999940395355,0.23399999737739563,0.23399999737739563,0.23399999737739563,0.23399999737739563,0.23399999737739563,0.23399999737739563,0.2329999953508377,0.2329999953508377,0.2329999953508377,0.23199999332427979,0.23199999332427979,0.23199999332427979,0.23199999332427979,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2280000001192093,0.2280000001192093,0.2280000001192093,0.2280000001192093,0.2280000001192093,0.2280000001192093,0.2280000001192093,0.2280000001192093,0.2280000001192093]},{\"connectgaps\":false,\"line\":{\"color\":\"#ed982a\",\"dash\":\"solid\",\"width\":2},\"mode\":\"lines\",\"name\":\"Validation error\",\"opacity\":1,\"showlegend\":true,\"type\":\"scatter\",\"x\":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145],\"y\":[0.9190000295639038,0.7609999775886536,0.7039999961853027,0.6520000100135803,0.5490000247955322,0.5109999775886536,0.49799999594688416,0.4729999899864197,0.45399999618530273,0.4339999854564667,0.4009999930858612,0.37700000405311584,0.3610000014305115,0.3440000116825104,0.33899998664855957,0.3310000002384186,0.3240000009536743,0.3190000057220459,0.31299999356269836,0.3050000071525574,0.2980000078678131,0.28999999165534973,0.28299999237060547,0.2759999930858612,0.27300000190734863,0.27000001072883606,0.2680000066757202,0.2639999985694885,0.2619999945163727,0.25999999046325684,0.257999986410141,0.2549999952316284,0.2540000081062317,0.2529999911785126,0.25200000405311584,0.25099998712539673,0.24899999797344208,0.24899999797344208,0.24799999594688416,0.24799999594688416,0.24699999392032623,0.2460000067949295,0.2460000067949295,0.24400000274181366,0.24400000274181366,0.24300000071525574,0.24300000071525574,0.24300000071525574,0.24199999868869781,0.24199999868869781,0.24199999868869781,0.24199999868869781,0.2409999966621399,0.2409999966621399,0.2409999966621399,0.23999999463558197,0.23999999463558197,0.23999999463558197,0.23899999260902405,0.23899999260902405,0.23899999260902405,0.23800000548362732,0.23800000548362732,0.23800000548362732,0.23800000548362732,0.2370000034570694,0.2370000034570694,0.2370000034570694,0.23600000143051147,0.23600000143051147,0.23600000143051147,0.23600000143051147,0.23499999940395355,0.23499999940395355,0.23399999737739563,0.23399999737739563,0.23399999737739563,0.23399999737739563,0.23399999737739563,0.23399999737739563,0.23399999737739563,0.2329999953508377,0.2329999953508377,0.2329999953508377,0.2329999953508377,0.2329999953508377,0.2329999953508377,0.23199999332427979,0.23199999332427979,0.23199999332427979,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23100000619888306,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.23000000417232513,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672,0.2290000021457672]}],\"layout\":{\"autosize\":true,\"font\":{\"color\":\"#30343b\",\"family\":\"Arial, sans-serif\",\"size\":14},\"hovermode\":\"closest\",\"legend\":{\"orientation\":\"h\",\"x\":0.5,\"xanchor\":\"center\",\"y\":-0.24,\"yanchor\":\"top\"},\"margin\":{\"b\":120,\"l\":72,\"pad\":4,\"r\":36,\"t\":112},\"paper_bgcolor\":\"#ffffff\",\"plot_bgcolor\":\"#ffffff\",\"title\":{\"automargin\":true,\"pad\":{\"t\":48},\"text\":\"Quasi-Newton method error history\",\"x\":0.5,\"xanchor\":\"center\",\"y\":1,\"yanchor\":\"top\",\"yref\":\"container\"},\"xaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[0,145],\"title\":{\"text\":\"Epoch\"},\"zerolinecolor\":\"#aeb6c2\"},\"yaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[0,1.0002],\"title\":{\"text\":\"Normalized squared error\"},\"zerolinecolor\":\"#aeb6c2\"}}}<\/script><\/div><figcaption>Quasi-Newton method error history. Exported with Neural Designer from the saved task report.<\/figcaption><\/figure><h3>Quasi-Newton method results<\/h3><div class=\"nd-table-scroll\" tabindex=\"0\"><table><thead><tr><th scope=\"col\">Measure<\/th><th scope=\"col\">Value<\/th><\/tr><\/thead><tbody><tr><th scope=\"row\">Epochs number<\/th><td>146<\/td><\/tr><tr><th scope=\"row\">Elapsed time<\/th><td>00:00:01<\/td><\/tr><tr><th scope=\"row\">Stopping criterion<\/th><td>Minimum loss decrease<\/td><\/tr><tr><th scope=\"row\">Training error<\/th><td>0.229<\/td><\/tr><tr><th scope=\"row\">Validation error<\/th><td>0.229<\/td><\/tr><\/tbody><\/table><\/div><\/section>\n<section id=\"5-selection\" class=\"ndb-card\"><h2>5. Model selection<\/h2><p>The following search results are recorded in the saved report. Selection used the validation subset. These are the selected settings within the tested search; they do not establish a globally optimal model.<\/p><figure class=\"nd-native-figure\"><div class=\"nd-chart-bundle\" tabindex=\"0\" role=\"group\" aria-label=\"Interactive chart; scroll horizontally on narrow screens\" data-native-chart=\"nd-nox-emissions-t5-s2-20260921\"><div class=\"nd-chart-host\" id=\"nd-nox-emissions-t5-s2-20260921\" role=\"img\" aria-label=\"Growing neurons training\/selection errors plot\"><\/div><p class=\"nd-chart-fallback\">Interactive chart: Growing neurons training\/selection errors plot. Enable JavaScript to explore it.<\/p><script type=\"application\/json\">{\"config\":{\"displayModeBar\":true,\"displaylogo\":false,\"editable\":false,\"responsive\":true,\"scrollZoom\":true,\"toImageButtonOptions\":{\"filename\":\"neural-designer-chart\",\"format\":\"svg\"}},\"data\":[{\"connectgaps\":false,\"line\":{\"color\":\"#529cc2\",\"dash\":\"solid\",\"width\":2},\"marker\":{\"color\":\"#529cc2\",\"size\":8,\"symbol\":\"circle\"},\"mode\":\"lines+markers\",\"name\":\"Training error\",\"opacity\":1,\"showlegend\":true,\"type\":\"scatter\",\"x\":[1,2,3,4,5,6,7,8,9,10],\"y\":[0.3961299955844879,0.2691250145435333,0.23390500247478485,0.20400799810886383,0.18918399512767792,0.18310800194740295,0.15764999389648438,0.1496340036392212,0.14967599511146545,0.14278900623321533]},{\"connectgaps\":false,\"line\":{\"color\":\"#e6cd5f\",\"dash\":\"solid\",\"width\":2},\"marker\":{\"color\":\"#e6cd5f\",\"size\":8,\"symbol\":\"circle\"},\"mode\":\"lines+markers\",\"name\":\"Selection error\",\"opacity\":1,\"showlegend\":true,\"type\":\"scatter\",\"x\":[1,2,3,4,5,6,7,8,9,10],\"y\":[0.3797439932823181,0.2717350125312805,0.23139800131320953,0.20543499290943146,0.19154299795627594,0.19085200130939484,0.16540099680423737,0.15509699285030365,0.1550150066614151,0.14601700007915497]}],\"layout\":{\"autosize\":true,\"font\":{\"color\":\"#30343b\",\"family\":\"Arial, sans-serif\",\"size\":14},\"hovermode\":\"closest\",\"legend\":{\"orientation\":\"h\",\"x\":0.5,\"xanchor\":\"center\",\"y\":-0.24,\"yanchor\":\"top\"},\"margin\":{\"b\":120,\"l\":72,\"pad\":4,\"r\":36,\"t\":112},\"paper_bgcolor\":\"#ffffff\",\"plot_bgcolor\":\"#ffffff\",\"title\":{\"automargin\":true,\"pad\":{\"t\":48},\"text\":\"Growing neurons training\/selection errors plot\",\"x\":0.5,\"xanchor\":\"center\",\"y\":1,\"yanchor\":\"top\",\"yref\":\"container\"},\"xaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[1,10],\"title\":{\"text\":\"Neurons number\"},\"zerolinecolor\":\"#aeb6c2\"},\"yaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[0,0.4001],\"title\":{\"text\":\"Normalized squared error\"},\"zerolinecolor\":\"#aeb6c2\"}}}<\/script><\/div><figcaption>Growing neurons training\/selection errors plot. Exported with Neural Designer from the saved task report.<\/figcaption><\/figure><h3>Growing neurons results<\/h3><div class=\"nd-table-scroll\" tabindex=\"0\"><table><thead><tr><th scope=\"col\">Measure<\/th><th scope=\"col\">Value<\/th><\/tr><\/thead><tbody><tr><th scope=\"row\">Optimal neurons number<\/th><td>10<\/td><\/tr><tr><th scope=\"row\">Optimum training error<\/th><td>0.1428<\/td><\/tr><tr><th scope=\"row\">Optimum selection error<\/th><td>0.146<\/td><\/tr><tr><th scope=\"row\">Epochs number<\/th><td>10<\/td><\/tr><tr><th scope=\"row\">Stopping criterion<\/th><td>Maximum neurons reached<\/td><\/tr><tr><th scope=\"row\">Elapsed time<\/th><td>00:01:05<\/td><\/tr><\/tbody><\/table><\/div><figure class=\"ndb-architecture-figure\" data-model-stage=\"selected\"><a href=\"https:\/\/www.neuraldesigner.com\/wp-content\/uploads\/2026\/09\/nd-nox-emissions-t6-s1-20260921.png\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" class=\"ndb-architecture\" src=\"https:\/\/www.neuraldesigner.com\/wp-content\/uploads\/2026\/09\/nd-nox-emissions-t6-s1-20260921.png\" alt=\"Estimating gas-turbine NOx from operating measurements: selected Neural Designer architecture\"><\/a><figcaption>Final architecture used for testing. Diagram labels show original variables; categorical expansion and the numeric layer dimensions are documented in the model table.<\/figcaption><\/figure><\/section>\n<section id=\"6-testing\" class=\"ndb-card\"><h2>6. Testing analysis<\/h2><p>The final model is evaluated on <strong>7,346 testing observations<\/strong>. MAE, RMSE and prediction R\u00b2 below are computed from the exact testing pairs stored by Neural Designer. Errors retain each target\u2019s original units.<\/p><div class=\"nd-table-scroll\" tabindex=\"0\"><table><thead><tr><th scope=\"col\">Target<\/th><th scope=\"col\">Unit<\/th><th scope=\"col\">MAE<\/th><th scope=\"col\">RMSE<\/th><th scope=\"col\">Prediction R\u00b2<\/th><th scope=\"col\">Pearson r\u00b2<\/th><\/tr><\/thead><tbody><tr><th scope=\"row\">NOx<\/th><td>mg\/m\u00b3<\/td><td>3.073<\/td><td>4.562<\/td><td>0.842<\/td><td>0.842<\/td><\/tr><\/tbody><\/table><\/div><p>The native goodness-of-fit task reports squared Pearson correlation (r\u00b2). Prediction R\u00b2 here is 1 \u2212 squared prediction error \/ squared deviation from the test mean. They measure different properties: a strongly correlated prediction can still have a bias or an incorrect scale.<\/p><div class=\"nd-native-test-figures\"><figure class=\"nd-native-figure\"><div class=\"nd-chart-bundle\" tabindex=\"0\" role=\"group\" aria-label=\"Interactive chart; scroll horizontally on narrow screens\" data-native-chart=\"nd-nox-emissions-t7-s2-20260921\"><div class=\"nd-chart-host\" id=\"nd-nox-emissions-t7-s2-20260921\" role=\"img\" aria-label=\"NOx goodness-of-fit chart\"><\/div><p class=\"nd-chart-fallback\">Interactive chart: NOx goodness-of-fit chart. Enable JavaScript to explore it.<\/p><script type=\"application\/json\">{\"config\":{\"displayModeBar\":true,\"displaylogo\":false,\"editable\":false,\"responsive\":true,\"scrollZoom\":true,\"toImageButtonOptions\":{\"filename\":\"neural-designer-chart\",\"format\":\"svg\"}},\"data\":[{\"connectgaps\":false,\"marker\":{\"color\":\"#209fdf\",\"size\":8,\"symbol\":\"circle\"},\"mode\":\"markers\",\"name\":\"Predicted 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NOx\",\"opacity\":1,\"showlegend\":false,\"type\":\"scatter\",\"x\":[20,120.02],\"y\":[20,120.02]}],\"layout\":{\"autosize\":true,\"font\":{\"color\":\"#30343b\",\"family\":\"Arial, sans-serif\",\"size\":14},\"hovermode\":\"closest\",\"margin\":{\"b\":68,\"l\":72,\"pad\":4,\"r\":36,\"t\":112},\"paper_bgcolor\":\"#ffffff\",\"plot_bgcolor\":\"#ffffff\",\"title\":{\"automargin\":true,\"pad\":{\"t\":48},\"text\":\"NOx goodness-of-fit chart\",\"x\":0.5,\"xanchor\":\"center\",\"y\":1,\"yanchor\":\"top\",\"yref\":\"container\"},\"xaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[17.9996,122.0204],\"title\":{\"text\":\"Actual NOx\"},\"zerolinecolor\":\"#aeb6c2\"},\"yaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[17.9996,122.0204],\"title\":{\"text\":\"Predicted NOx\"},\"zerolinecolor\":\"#aeb6c2\"}}}<\/script><\/div><figcaption>NOx goodness-of-fit chart. Exported with Neural Designer from the saved task report.<\/figcaption><\/figure><\/div><\/section>\n<section id=\"7-model-deployment\" class=\"ndb-card\"><h2>7. Model deployment<\/h2><p>Validated inputs \u2192 saved preprocessing \u2192 neural network \u2192 score or estimate \u2192 domain review. The ZIP contains the original project, source CSV, schema, test metrics and standalone interactive chart exports. The project hash in the schema identifies this exact version.<\/p><h3>Directional response at a fixed reference point<\/h3><details><summary>Inspect the saved reference point<\/summary><div class=\"nd-table-scroll\" tabindex=\"0\"><table><thead><tr><th scope=\"col\">Measure<\/th><th scope=\"col\">Variable<\/th><th scope=\"col\">Value<\/th><\/tr><\/thead><tbody><tr><th scope=\"row\">1<\/th><td>ambient_temperature<\/td><td>26.837<\/td><\/tr><tr><th scope=\"row\">2<\/th><td>ambient_pressure<\/td><td>1011.5<\/td><\/tr><tr><th scope=\"row\">3<\/th><td>ambient_humidity<\/td><td>58.73<\/td><\/tr><tr><th scope=\"row\">4<\/th><td>air_filter_difference_pressure<\/td><td>4.0851<\/td><\/tr><tr><th scope=\"row\">5<\/th><td>gas_turbine_exhaust_pressure<\/td><td>25.805<\/td><\/tr><tr><th scope=\"row\">6<\/th><td>turbine_inlet_temperature<\/td><td>1092.7<\/td><\/tr><tr><th scope=\"row\">7<\/th><td>turbine_after_temperature<\/td><td>549.67<\/td><\/tr><tr><th scope=\"row\">8<\/th><td>turbine_energy_yield<\/td><td>133.78<\/td><\/tr><tr><th scope=\"row\">9<\/th><td>compressor_discharge_pressure<\/td><td>12.217<\/td><\/tr><tr><th scope=\"row\">10<\/th><td>CO<\/td><td>2.6523<\/td><\/tr><\/tbody><\/table><\/div><\/details><figure class=\"nd-native-figure\"><div class=\"nd-chart-bundle\" tabindex=\"0\" role=\"group\" aria-label=\"Interactive chart; scroll horizontally on narrow screens\" data-native-chart=\"nd-nox-emissions-t10-s8-20260921\"><div class=\"nd-chart-host\" id=\"nd-nox-emissions-t10-s8-20260921\" role=\"img\" aria-label=\"NOx - turbine_after_temperature directional output\"><\/div><p class=\"nd-chart-fallback\">Interactive chart: NOx &#8211; turbine_after_temperature directional output. Enable JavaScript to explore it.<\/p><script type=\"application\/json\">{\"config\":{\"displayModeBar\":true,\"displaylogo\":false,\"editable\":false,\"responsive\":true,\"scrollZoom\":true,\"toImageButtonOptions\":{\"filename\":\"neural-designer-chart\",\"format\":\"svg\"}},\"data\":[{\"connectgaps\":false,\"line\":{\"color\":\"#529cc2\",\"dash\":\"solid\",\"shape\":\"spline\",\"width\":2},\"mode\":\"lines\",\"name\":\"NOx\",\"opacity\":1,\"showlegend\":false,\"type\":\"scatter\",\"x\":[510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560],\"y\":[121,121,120,120,119,119,118,117,117,116,116,115,114,114,113,112,111,111,110,109,107,106,104,102,99.69999694824219,97.0999984741211,94.0999984741211,90.80000305175781,87.30000305175781,83.5999984741211,79.9000015258789,76.4000015258789,73.0999984741211,70.30000305175781,68.0999984741211,66.5,65.69999694824219,65.69999694824219,66.4000015258789,67.9000015258789,70,72.4000015258789,74.69999694824219,75,69.9000015258789,60.70000076293945,57.79999923706055,62.900001525878906,70,75.5,78.80000305175781]},{\"connectgaps\":false,\"marker\":{\"color\":\"#3c3c3c\",\"size\":8,\"symbol\":\"circle\"},\"mode\":\"markers\",\"name\":\"NOx\",\"opacity\":1,\"showlegend\":false,\"type\":\"scatter\",\"x\":[549.6699829101562],\"y\":[69.22799682617188]}],\"layout\":{\"autosize\":true,\"font\":{\"color\":\"#30343b\",\"family\":\"Arial, sans-serif\",\"size\":14},\"hovermode\":\"closest\",\"margin\":{\"b\":68,\"l\":72,\"pad\":4,\"r\":36,\"t\":112},\"paper_bgcolor\":\"#ffffff\",\"plot_bgcolor\":\"#ffffff\",\"title\":{\"automargin\":true,\"pad\":{\"t\":48},\"text\":\"NOx - turbine_after_temperature directional output\",\"x\":0.5,\"xanchor\":\"center\",\"y\":1,\"yanchor\":\"top\",\"yref\":\"container\"},\"xaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[510,560.01],\"title\":{\"text\":\"turbine_after_temperature\"},\"zerolinecolor\":\"#aeb6c2\"},\"yaxis\":{\"automargin\":true,\"gridcolor\":\"#d9dde3\",\"linecolor\":\"#9aa3ad\",\"range\":[20,120.02],\"title\":{\"text\":\"NOx\"},\"zerolinecolor\":\"#aeb6c2\"}}}<\/script><\/div><figcaption>NOx &#8211; turbine_after_temperature directional output. Exported with Neural Designer from the saved task report. Other inputs are held at the saved reference point. This is a model response, not a causal effect.<\/figcaption><\/figure><div class=\"nd-model-calculator\" id=\"nd-model-nox-emissions\"><h3>Explore the exported model<\/h3><p>This research demonstration runs locally in your browser. Values outside the training range are outside the validated domain and are rejected. A valid input range does not guarantee that a combination is physically or operationally plausible.<\/p><p>This is not a certified control or protection system.<\/p><div class=\"nd-model-fields\"><\/div><div class=\"nd-model-actions\"><button class=\"aui aui-button nd-model-calculate\" type=\"button\">Calculate<\/button><button class=\"aui aui-button aui-button--secondary nd-model-reset\" type=\"button\">Reset example<\/button><\/div><div class=\"nd-model-result\" role=\"status\" aria-live=\"polite\"><\/div><\/div><script data-noptimize=\"1\">(()=>{function Identity(x) {\n\treturn x;\n}\nfunction Tanh(x) {\n\treturn Math.tanh(x);\n}\nfunction calculate_outputs(inputs)\n{\n\tvar ambient_temperature = +inputs[0];\n\tvar ambient_pressure = +inputs[1];\n\tvar ambient_humidity = +inputs[2];\n\tvar air_filter_difference_pressure = +inputs[3];\n\tvar gas_turbine_exhaust_pressure = +inputs[4];\n\tvar turbine_inlet_temperature = +inputs[5];\n\tvar turbine_after_temperature = +inputs[6];\n\tvar turbine_energy_yield = +inputs[7];\n\tvar compressor_discharge_pressure = +inputs[8];\n\tvar CO = +inputs[9];\n\n\tvar scaled_ambient_temperature = ambient_temperature*0.1342757642-2.378386259;\n\tvar scaled_ambient_pressure = ambient_pressure*0.1547223628-156.7445831;\n\tvar scaled_ambient_humidity = ambient_humidity*0.06915055215-5.384553432;\n\tvar scaled_air_filter_difference_pressure = air_filter_difference_pressure*1.292119861-5.072255135;\n\tvar scaled_gas_turbine_exhaust_pressure = gas_turbine_exhaust_pressure*0.2383284569-6.092604637;\n\tvar scaled_turbine_inlet_temperature = turbine_inlet_temperature*0.05702424794-61.66830063;\n\tvar scaled_turbine_after_temperature = turbine_after_temperature*0.1461509764-79.82196808;\n\tvar scaled_turbine_energy_yield = turbine_energy_yield*0.06402704865-8.547994614;\n\tvar scaled_compressor_discharge_pressure = compressor_discharge_pressure*0.918459177-11.07716942;\n\tvar scaled_CO = CO*0.4419635534-1.048545241;\n\tvar dense_layer_1_output_0 = Tanh( -1.414455414 + (0.05292741209*scaled_ambient_temperature) + (-0.04315100983*scaled_ambient_pressure) + (0.1187093258*scaled_ambient_humidity) + (0.003869678359*scaled_air_filter_difference_pressure) + (-0.09629628062*scaled_gas_turbine_exhaust_pressure) + (0.7582496405*scaled_turbine_inlet_temperature) + (0.09816384315*scaled_turbine_after_temperature) + (-1.05282855*scaled_turbine_energy_yield) + (-0.1606907099*scaled_compressor_discharge_pressure) + (-0.06089648977*scaled_CO) );\n\tvar dense_layer_1_output_1 = Tanh( 0.05467287451 + (0.9699129462*scaled_ambient_temperature) + (-0.07235793024*scaled_ambient_pressure) + (0.09848563373*scaled_ambient_humidity) + (0.2157013863*scaled_air_filter_difference_pressure) + (-2.343648672*scaled_gas_turbine_exhaust_pressure) + (0.7516198754*scaled_turbine_inlet_temperature) + (-0.3896771073*scaled_turbine_after_temperature) + (2.458492279*scaled_turbine_energy_yield) + (-0.1655719727*scaled_compressor_discharge_pressure) + (-0.03280815482*scaled_CO) );\n\tvar dense_layer_1_output_2 = Tanh( 0.2762464285 + (0.1200585216*scaled_ambient_temperature) + (-0.1082102731*scaled_ambient_pressure) + (0.01543178875*scaled_ambient_humidity) + (0.03054712154*scaled_air_filter_difference_pressure) + (-2.714388609*scaled_gas_turbine_exhaust_pressure) + (4.532364845*scaled_turbine_inlet_temperature) + (-2.154606581*scaled_turbine_after_temperature) + (-1.934492588*scaled_turbine_energy_yield) + (-0.4988465607*scaled_compressor_discharge_pressure) + (0.08562181145*scaled_CO) );\n\tvar dense_layer_1_output_3 = Tanh( 0.8885300159 + (0.4572023153*scaled_ambient_temperature) + (0.04928071797*scaled_ambient_pressure) + (-0.08139445633*scaled_ambient_humidity) + (0.07442513108*scaled_air_filter_difference_pressure) + (0.05692236871*scaled_gas_turbine_exhaust_pressure) + (-1.245849729*scaled_turbine_inlet_temperature) + (0.8714526892*scaled_turbine_after_temperature) + (2.040393591*scaled_turbine_energy_yield) + (-0.03693766147*scaled_compressor_discharge_pressure) + (0.02407370321*scaled_CO) );\n\tvar dense_layer_1_output_4 = Tanh( 0.8438060284 + (0.01889580861*scaled_ambient_temperature) + (0.2197843939*scaled_ambient_pressure) + (0.07816996425*scaled_ambient_humidity) + (-0.1115116253*scaled_air_filter_difference_pressure) + (3.624753714*scaled_gas_turbine_exhaust_pressure) + (-3.337932348*scaled_turbine_inlet_temperature) + (1.263089657*scaled_turbine_after_temperature) + (-0.2744038999*scaled_turbine_energy_yield) + (-0.224782303*scaled_compressor_discharge_pressure) + (-1.021033764*scaled_CO) );\n\tvar dense_layer_1_output_5 = Tanh( 0.1261453778 + (0.1666603535*scaled_ambient_temperature) + (-0.2460049689*scaled_ambient_pressure) + (0.04058147594*scaled_ambient_humidity) + (0.1945245862*scaled_air_filter_difference_pressure) + (-5.745881557*scaled_gas_turbine_exhaust_pressure) + (8.61452961*scaled_turbine_inlet_temperature) + (-4.365627766*scaled_turbine_after_temperature) + (-3.779367924*scaled_turbine_energy_yield) + (-0.9655532837*scaled_compressor_discharge_pressure) + (0.1497112215*scaled_CO) );\n\tvar dense_layer_1_output_6 = Tanh( 0.6721442938 + (-0.3821352124*scaled_ambient_temperature) + (0.1290273666*scaled_ambient_pressure) + (-0.06644258648*scaled_ambient_humidity) + (-0.2183296829*scaled_air_filter_difference_pressure) + (3.316309929*scaled_gas_turbine_exhaust_pressure) + (-1.775998116*scaled_turbine_inlet_temperature) + (1.153921485*scaled_turbine_after_temperature) + (-1.034172654*scaled_turbine_energy_yield) + (-0.3131819963*scaled_compressor_discharge_pressure) + (-0.4906820953*scaled_CO) );\n\tvar dense_layer_1_output_7 = Tanh( -0.4013715088 + (-1.124384642*scaled_ambient_temperature) + (0.1573441923*scaled_ambient_pressure) + (-0.1402716786*scaled_ambient_humidity) + (-0.07026549429*scaled_air_filter_difference_pressure) + (1.58372283*scaled_gas_turbine_exhaust_pressure) + (-0.07170218229*scaled_turbine_inlet_temperature) + (-0.3636377156*scaled_turbine_after_temperature) + (-2.906365871*scaled_turbine_energy_yield) + (-0.8108151555*scaled_compressor_discharge_pressure) + (0.2221248895*scaled_CO) );\n\tvar dense_layer_1_output_8 = Tanh( -0.9530898333 + (0.1188368276*scaled_ambient_temperature) + (0.009605785832*scaled_ambient_pressure) + (-0.09506394714*scaled_ambient_humidity) + (0.6816939116*scaled_air_filter_difference_pressure) + (0.1178941131*scaled_gas_turbine_exhaust_pressure) + (-0.7084295154*scaled_turbine_inlet_temperature) + (0.2765026093*scaled_turbine_after_temperature) + (0.1943943053*scaled_turbine_energy_yield) + (-0.03499694914*scaled_compressor_discharge_pressure) + (0.2892096341*scaled_CO) );\n\tvar dense_layer_1_output_9 = Tanh( 0.7638251781 + (-0.3216053247*scaled_ambient_temperature) + (0.03755347431*scaled_ambient_pressure) + (-0.1622213423*scaled_ambient_humidity) + (-0.1745964438*scaled_air_filter_difference_pressure) + (-0.4815120399*scaled_gas_turbine_exhaust_pressure) + (1.164716482*scaled_turbine_inlet_temperature) + (0.01335259154*scaled_turbine_after_temperature) + (0.2199241221*scaled_turbine_energy_yield) + (-0.03944326192*scaled_compressor_discharge_pressure) + (0.01717091165*scaled_CO) );\n\tvar approximation_layer_output_0 = Identity( -0.9258209467 + (-3.105390787*dense_layer_1_output_0) + (2.041133165*dense_layer_1_output_1) + (-3.509328842*dense_layer_1_output_2) + (-2.529352188*dense_layer_1_output_3) + (-1.869227529*dense_layer_1_output_4) + (2.646060705*dense_layer_1_output_5) + (2.809799194*dense_layer_1_output_6) + (0.7864972353*dense_layer_1_output_7) + (0.887183845*dense_layer_1_output_8) + (1.017207742*dense_layer_1_output_9) );\n\tvar unscaling_layer_output_0=approximation_layer_output_0*11.67819977+65.29290009;\n\tvar NOx = unscaling_layer_output_0;\n\tvar out = [];\n\tout.push(NOx);\n\n\treturn out;\n}\nconst cfg={\"fields\":[{\"name\":\"ambient_temperature\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":-6.2348,\"max\":37.103,\"value\":3.589200019836426,\"unit\":\"\"},{\"name\":\"ambient_pressure\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":985.85,\"max\":1036.6,\"value\":1018.2000122070312,\"unit\":\"\"},{\"name\":\"ambient_humidity\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":24.085,\"max\":100.2,\"value\":83.86699676513672,\"unit\":\"\"},{\"name\":\"air_filter_difference_pressure\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":2.0874,\"max\":7.6106,\"value\":3.577699899673462,\"unit\":\"\"},{\"name\":\"gas_turbine_exhaust_pressure\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":17.698,\"max\":40.716,\"value\":23.875999450683594,\"unit\":\"\"},{\"name\":\"turbine_inlet_temperature\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":1000.8,\"max\":1100.9,\"value\":1086.0,\"unit\":\"\"},{\"name\":\"turbine_after_temperature\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":511.04,\"max\":550.61,\"value\":549.8800048828125,\"unit\":\"\"},{\"name\":\"turbine_energy_yield\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":100.02,\"max\":179.5,\"value\":134.66000366210938,\"unit\":\"\"},{\"name\":\"compressor_discharge_pressure\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":9.8518,\"max\":15.159,\"value\":11.892999649047852,\"unit\":\"\"},{\"name\":\"CO\",\"n\":1,\"type\":\"Numeric\",\"categories\":[],\"min\":0.00038751,\"max\":44.103,\"value\":0.7999600172042847,\"unit\":\"\"}],\"output_names\":[\"NOx\"],\"reference\":[84.62749986681285]},root=document.getElementById(\"nd-model-nox-emissions\");if(!root)return;const grid=root.querySelector(\".nd-model-fields\"),result=root.querySelector(\".nd-model-result\"),controls=[];cfg.fields.forEach((f,i)=>{const wrap=document.createElement(\"div\");wrap.className=\"nd-model-field\";const label=document.createElement(\"label\"),id=root.id+\"-\"+i;label.htmlFor=id;label.textContent=f.name.replaceAll(\"_\",\" \")+(f.unit?\" (\"+f.unit+\")\":\"\");let input;if(f.categories?.length){input=document.createElement(\"select\");f.categories.forEach((name,k)=>{const option=document.createElement(\"option\");option.value=String(k);option.textContent=name;input.appendChild(option);});}else{input=document.createElement(\"input\");input.type=\"number\";input.step=\"any\";input.min=String(f.min);input.max=String(f.max);}input.id=id;input.value=String(f.value);wrap.append(label,input);grid.appendChild(wrap);controls.push(input);});const calculate=()=>{const inputs=[];let valid=true;cfg.fields.forEach((f,i)=>{const el=controls[i],v=Number(el.value);let bad=el.value.trim()===\"\"||!Number.isFinite(v);if(!f.categories?.length)bad=bad||v<f.min||v>f.max;el.setAttribute(\"aria-invalid\",bad?\"true\":\"false\");if(bad)valid=false;if(f.n>1){for(let k=0;k<f.n;k++)inputs.push(k===v?1:0);}else inputs.push(v);});if(!valid){result.textContent=\"Enter a valid value within every displayed input range.\";return;}let outputs=calculate_outputs(inputs);if(outputs.some(v=>!Number.isFinite(v))){result.textContent=\"The model could not evaluate these inputs.\";return;}result.textContent=outputs.map((v,i)=>cfg.output_names[i]+\": \"+Number(v.toPrecision(7))).join(\"\\n\");root.dataset.outputs=JSON.stringify(outputs);};root.querySelector(\".nd-model-calculate\").addEventListener(\"click\",calculate);root.querySelector(\".nd-model-reset\").addEventListener(\"click\",()=>{controls.forEach((el,i)=>el.value=String(cfg.fields[i].value));calculate();});calculate();})();<\/script><div class=\"ndb-downloads\"><a class=\"aui aui-button\" href=\"https:\/\/www.neuraldesigner.com\/wp-content\/uploads\/2026\/09\/nox-emissions-neural-designer-20260921.zip\">Download project and exports (ZIP)<\/a><a class=\"aui aui-button aui-button--secondary\" href=\"https:\/\/www.neuraldesigner.com\/wp-content\/uploads\/2026\/09\/nox-emissions-data-20260921.csv\">Download source data (CSV)<\/a><a class=\"aui aui-button aui-button--secondary\" href=\"https:\/\/www.neuraldesigner.com\/wp-content\/uploads\/2026\/09\/nox-emissions-schema-20260921.zip\">Download input schema (ZIP)<\/a><a class=\"aui aui-button aui-button--secondary\" href=\"https:\/\/www.neuraldesigner.com\/downloads\/\">Reproduce with Neural Designer<\/a><\/div><\/section>\n<section id=\"8-limitations\" class=\"ndb-card\"><h2>8. Scope and limitations<\/h2><p>The saved split does not establish transfer to future years or another turbine. Use time-blocked or equipment-level validation, review sensor quality and evaluate extreme regimes. A directional response holds other variables fixed and is not a physically validated operating intervention or a compliance instrument.<\/p><p>No external validation or independent calibration study is included. Preprocessing statistics and model choices should be refitted within a prospective or grouped validation design. Correlations and directional responses describe associations, not causes. Human review is required before an operational decision.<\/p><\/section>\n<section id=\"references\" class=\"ndb-card\"><h2>References<\/h2><ul><li><a href=\"https:\/\/doi.org\/10.24432\/C5WC95\">Dataset source and provenance<\/a>.<\/li><li><a href=\"https:\/\/www.neuraldesigner.com\/wp-content\/uploads\/2026\/09\/nox-emissions-neural-designer-20260921.zip\">Neural Designer project and saved task evidence, 21 September 2026<\/a>.<\/li><li><a href=\"https:\/\/www.neuraldesigner.com\/learning\/tutorials\/testing-analysis\/\">Neural Designer testing-analysis documentation<\/a>.<\/li><\/ul><\/section>\n<\/div>\n<\/div>\n<script data-noptimize=\"1\" data-cfasync=\"false\" src=\"https:\/\/cdn.plot.ly\/plotly-basic-4.0.0.min.js\"><\/script><script data-noptimize=\"1\">(()=>{const start=()=>{if(!window.Plotly)return;document.querySelectorAll('.nd-chart-bundle').forEach(bundle=>{if(bundle.dataset.started)return;bundle.dataset.started='1';const 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