[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"summary-nes-optimizes-quadratic-bowl-via-gaussian-perturba-summary":3,"summaries-facets-categories":180,"summary-related-nes-optimizes-quadratic-bowl-via-gaussian-perturba-summary":7084},{"id":4,"title":5,"ai":6,"body":13,"categories":159,"created_at":161,"date_modified":161,"description":80,"extension":162,"faq":161,"featured":163,"kicker_label":161,"meta":164,"navigation":165,"path":166,"published_at":167,"question":161,"scraped_at":161,"seo":168,"sitemap":169,"source_id":170,"source_name":171,"source_type":172,"source_url":173,"stem":174,"tags":175,"thumbnail_url":161,"tldr":177,"tweet":161,"unknown_tags":178,"__hash__":179},"summaries\u002Fsummaries\u002Fnes-optimizes-quadratic-bowl-via-gaussian-perturba-summary.md","NES optimizes quadratic bowl via gaussian perturbations",{"provider":7,"model":8,"input_tokens":9,"output_tokens":10,"processing_time_ms":11,"cost_usd":12},"openrouter","x-ai\u002Fgrok-4.1-fast",8855,1292,10281,0.0019466,{"type":14,"value":15,"toc":153},"minimark",[16,21,25,63,74,90,93,97,100,115,118,122,149],[17,18,20],"h2",{"id":19},"nes-core-loop-for-black-box-optimization","NES Core Loop for Black-Box Optimization",[22,23,24],"p",{},"NES treats parameters w as mean of a fixed-variance gaussian (sigma=0.1). To maximize black-box reward f(w) without gradients:",[26,27,28,32,53,56],"ol",{},[29,30,31],"li",{},"Generate npop=50 noise samples N ~ N(0,1) (shape 50x3).",[29,33,34,35,39,40,42,43,45,46,48,49,52],{},"Perturb: w_try",[36,37,38],"span",{},"j"," = w + sigma * N",[36,41,38],{},", compute R",[36,44,38],{}," = f(w_try",[36,47,38],{},"). Here f(w) = -||w - ",[36,50,51],{},"0.5,0.1,-0.3","||^2_2 (max reward=0 at solution).",[29,54,55],{},"Standardize: A = (R - mean(R)) \u002F std(R) to zero-mean unit-variance (avoids div-by-zero on flat rewards; speeds convergence vs raw R).",[29,57,58,59,62],{},"Update: w += alpha\u002F(npop * sigma) * N.T @ A (alpha=0.001). This is score-function gradient estimator E",[36,60,61],{},"reward * noise","\u002Fsigma.",[22,64,65,66,69,70,73],{},"Starts from random w≈",[36,67,68],{},"1.76,0.40,0.98"," (reward -3.32), reaches ",[36,71,72],{},"-0.000009"," error by iter 280.",[75,76,81],"pre",{"className":77,"code":78,"language":79,"meta":80,"style":80},"language-python shiki shiki-themes github-light github-dark","w = w + alpha\u002F(npop*sigma) * np.dot(N.T, A)\n","python","",[82,83,84],"code",{"__ignoreMap":80},[36,85,88],{"class":86,"line":87},"line",1,[36,89,78],{},[22,91,92],{},"sigma scales perturbation size and normalizes estimator (divisor matches multiplier for consistent gradient scale).",[17,94,96],{"id":95},"proven-convergence-on-toy-quadratic","Proven Convergence on Toy Quadratic",[22,98,99],{},"300 iters suffice; prints every 20 show steady progress:",[101,102,103,106,109,112],"ul",{},[29,104,105],{},"Iter 0: reward -3.323",[29,107,108],{},"Iter 100: -0.727",[29,110,111],{},"Iter 200: -0.001",[29,113,114],{},"Iter 280: -0.000009",[22,116,117],{},"Toy mimics NN optimization: f(w) would forward NN on env, return total reward. Solution hidden from optimizer.",[17,119,121],{"id":120},"insights-from-implementers","Insights from Implementers",[101,123,124,131,137,143],{},[29,125,126,130],{},[127,128,129],"strong",{},"Standardization optional but boosts speed",": Raw R works (paper-equivalent via Section 3.2), but centering\u002Fscaling prevents stagnation on negative\u002Fflat rewards.",[29,132,133,136],{},[127,134,135],{},"Edge cases",": Add epsilon to std(R) avoids div0 when all R equal (common early\u002Fsimple problems).",[29,138,139,142],{},[127,140,141],{},"Extensions",": Handles moving targets with small jitters; libs like evostra apply to Flappy Bird. No crossover needed vs GA—NES is gradient-like via log-prob derivative.",[29,144,145,148],{},[127,146,147],{},"Deployment",": Save final w; reconstruct NN. Practical for RL vs DQN (no backprop, parallelizable evals).",[150,151,152],"style",{},"html .default .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .dark .shiki span {color: var(--shiki-dark);background: var(--shiki-dark-bg);font-style: var(--shiki-dark-font-style);font-weight: var(--shiki-dark-font-weight);text-decoration: var(--shiki-dark-text-decoration);}html.dark .shiki span {color: var(--shiki-dark);background: var(--shiki-dark-bg);font-style: var(--shiki-dark-font-style);font-weight: var(--shiki-dark-font-weight);text-decoration: var(--shiki-dark-text-decoration);}",{"title":80,"searchDepth":154,"depth":154,"links":155},2,[156,157,158],{"id":19,"depth":154,"text":20},{"id":95,"depth":154,"text":96},{"id":120,"depth":154,"text":121},[160],"Data Science & Visualization",null,"md",false,{},true,"\u002Fsummaries\u002Fnes-optimizes-quadratic-bowl-via-gaussian-perturba-summary","2026-04-08 21:21:20",{"title":5,"description":80},{"loc":166},"24c62cc73ee60bc6","Andrej Karpathy Gists","article","https:\u002F\u002Funknown","summaries\u002Fnes-optimizes-quadratic-bowl-via-gaussian-perturba-summary",[79,176],"machine-learning","Sample 50 perturbed weights from N(w, 0.1), weight by standardized rewards, update w by 0.001\u002F(50*0.1) * sum(noise * weights) to converge in 300 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(2011) – simple method rivals modern LLMs.",[],"v2XTBE5rFNMZcIts4tjxKmc0d5a3j51Waw-d4ggTQcI",{"id":7152,"title":7153,"ai":7154,"body":7159,"categories":7260,"created_at":161,"date_modified":161,"description":80,"extension":162,"faq":161,"featured":163,"kicker_label":161,"meta":7261,"navigation":165,"path":7262,"published_at":7263,"question":161,"scraped_at":161,"seo":7264,"sitemap":7265,"source_id":7266,"source_name":7267,"source_type":172,"source_url":173,"stem":7268,"tags":7269,"thumbnail_url":161,"tldr":7270,"tweet":161,"unknown_tags":7271,"__hash__":7272},"summaries\u002Fsummaries\u002Ffix-randomness-first-for-stable-ml-pipelines-summary.md","Fix Randomness First for Stable ML Pipelines",{"provider":7,"model":8,"input_tokens":7155,"output_tokens":7156,"processing_time_ms":7157,"cost_usd":7158},3629,1311,12564,0.0013588,{"type":14,"value":7160,"toc":7256},[7161,7165,7168,7172,7175,7241,7248,7254],[17,7162,7164],{"id":7163},"pipelines-not-models-break-ml-systems","Pipelines, Not Models, Break ML Systems",[22,7166,7167],{},"After 4+ years building ML systems, the core failure mode isn't weak models but unstable pipelines that produce inconsistent results. A one-time success turns into quiet failures without disciplined stability practices. Treat stability as a non-negotiable discipline, not an afterthought.",[17,7169,7171],{"id":7170},"enforce-reproducibility-by-seeding-everything","Enforce Reproducibility by Seeding Everything",[22,7173,7174],{},"Randomness turns models into unreliable slot machines—results vary per run, undermining debugging and deployment. Fix it with a global seed function covering all sources:",[75,7176,7178],{"className":77,"code":7177,"language":79,"meta":80,"style":80},"import random\nimport numpy as np\nimport torch\n\ndef set_seed(seed=42):\n    random.seed(seed)\n    np.random.seed(seed)\n    torch.manual_seed(seed)\n    torch.cuda.manual_seed_all(seed)\n\nset_seed(42)\n",[82,7179,7180,7185,7190,7196,7201,7206,7212,7218,7224,7230,7235],{"__ignoreMap":80},[36,7181,7182],{"class":86,"line":87},[36,7183,7184],{},"import random\n",[36,7186,7187],{"class":86,"line":154},[36,7188,7189],{},"import numpy as np\n",[36,7191,7193],{"class":86,"line":7192},3,[36,7194,7195],{},"import torch\n",[36,7197,7198],{"class":86,"line":7135},[36,7199,7200],{"emptyLinePlaceholder":165},"\n",[36,7202,7203],{"class":86,"line":7134},[36,7204,7205],{},"def set_seed(seed=42):\n",[36,7207,7209],{"class":86,"line":7208},6,[36,7210,7211],{},"    random.seed(seed)\n",[36,7213,7215],{"class":86,"line":7214},7,[36,7216,7217],{},"    np.random.seed(seed)\n",[36,7219,7221],{"class":86,"line":7220},8,[36,7222,7223],{},"    torch.manual_seed(seed)\n",[36,7225,7227],{"class":86,"line":7226},9,[36,7228,7229],{},"    torch.cuda.manual_seed_all(seed)\n",[36,7231,7233],{"class":86,"line":7232},10,[36,7234,7200],{"emptyLinePlaceholder":165},[36,7236,7238],{"class":86,"line":7237},11,[36,7239,7240],{},"set_seed(42)\n",[22,7242,7243,7244,7247],{},"Call this early. ",[127,7245,7246],{},"Key caveat:"," Seeds don't fully eliminate non-determinism in some GPU operations—explicitly configure those for true reproducibility.",[22,7249,7250],{},[7251,7252,7253],"em",{},"Note: Article outlines 9 rules total but details only the first here.",[150,7255,152],{},{"title":80,"searchDepth":154,"depth":154,"links":7257},[7258,7259],{"id":7163,"depth":154,"text":7164},{"id":7170,"depth":154,"text":7171},[160],{},"\u002Fsummaries\u002Ffix-randomness-first-for-stable-ml-pipelines-summary","2026-04-08 21:21:17",{"title":7153,"description":80},{"loc":7262},"ed293f2ee2f46e73","Python in Plain English","summaries\u002Ffix-randomness-first-for-stable-ml-pipelines-summary",[79,176],"ML systems fail from unstable pipelines, not bad models—control randomness by setting seeds across random, NumPy, and PyTorch to ensure reproducible results.",[],"w_GpfcH_eP9a4oHynSujBQl1BptGg4S_T_nFYUIStoo",{"id":7274,"title":7275,"ai":7276,"body":7281,"categories":7357,"created_at":161,"date_modified":161,"description":80,"extension":162,"faq":161,"featured":163,"kicker_label":161,"meta":7358,"navigation":165,"path":7359,"published_at":167,"question":161,"scraped_at":161,"seo":7360,"sitemap":7361,"source_id":7362,"source_name":171,"source_type":172,"source_url":173,"stem":7363,"tags":7364,"thumbnail_url":161,"tldr":7365,"tweet":161,"unknown_tags":7366,"__hash__":7367},"summaries\u002Fsummaries\u002Fpytorch-nn-linear-mismatches-raw-matmul-by-1e-4-summary.md","PyTorch nn.Linear Mismatches Raw Matmul by 1e-4",{"provider":7,"model":8,"input_tokens":7277,"output_tokens":7278,"processing_time_ms":7279,"cost_usd":7280},3920,1128,10617,0.00088105,{"type":14,"value":7282,"toc":7352},[7283,7287,7310,7314,7333,7337],[17,7284,7286],{"id":7285},"raw-matmul-preserves-precision-across-batch-sizes","Raw Matmul Preserves Precision Across Batch Sizes",[22,7288,7289,7290,7293,7294,7297,7298,7301,7302,7305,7306,7309],{},"Use ",[82,7291,7292],{},"torch.matmul"," for exact equivalence: with seed 42, ",[82,7295,7296],{},"x = torch.randn(2, 768)"," and ",[82,7299,7300],{},"w = torch.randn(768, 768)",", computing ",[82,7303,7304],{},"z1 = x[0] @ w"," matches ",[82,7307,7308],{},"(x @ w)[0]"," exactly—max absolute difference is 0. This holds because PyTorch's matrix multiply ignores batch dimensions consistently without introducing fusion artifacts.",[17,7311,7313],{"id":7312},"nnlinear-introduces-numerical-drift","nn.Linear Introduces Numerical Drift",[22,7315,7316,7317,7320,7321,7324,7325,7328,7329,7332],{},"nn.Linear(768, 768, bias=False) with weight copied from ",[82,7318,7319],{},"w.T"," fails exactness. ",[82,7322,7323],{},"q1 = m(x[0])"," differs from ",[82,7326,7327],{},"q2 = m(x)[0]"," by max ~2e-5, and both deviate from raw ",[82,7330,7331],{},"z1"," by ~9e-5. Avoid assuming single-sample Linear matches batched or raw matmul outputs—use raw ops for precision-critical math.",[17,7334,7336],{"id":7335},"root-cause-fused-operations-in-batched-mode","Root Cause: Fused Operations in Batched Mode",[22,7338,7339,7340,7343,7344,7347,7348,7351],{},"Commenter notes torch source shows fused kernels activate differently for batched (shape ",[36,7341,7342],{},"2,768",") vs single (",[36,7345,7346],{},"768",") inputs, causing drift. Test by disabling autocast or fusions (e.g., ",[82,7349,7350],{},"torch.backends.cudnn.deterministic=True",") to isolate; impacts model debugging where exact reproducibility matters over speed.",{"title":80,"searchDepth":154,"depth":154,"links":7353},[7354,7355,7356],{"id":7285,"depth":154,"text":7286},{"id":7312,"depth":154,"text":7313},{"id":7335,"depth":154,"text":7336},[210],{},"\u002Fsummaries\u002Fpytorch-nn-linear-mismatches-raw-matmul-by-1e-4-summary",{"title":7275,"description":80},{"loc":7359},"c31c04ed51f90c10","summaries\u002Fpytorch-nn-linear-mismatches-raw-matmul-by-1e-4-summary",[79,176],"Raw torch.matmul gives identical results for single vs batched inputs (diff=0), but nn.Linear differs by 2e-5 between single\u002Fbatched and 9e-5 from raw matmul due to fused ops.",[],"N4HIPkktA2CpEJX7Wbl2sDkMuAd2ARWc4-gOQSjiAUA",{"id":7369,"title":7370,"ai":7371,"body":7376,"categories":7569,"created_at":161,"date_modified":161,"description":80,"extension":162,"faq":161,"featured":163,"kicker_label":161,"meta":7570,"navigation":165,"path":7582,"published_at":7583,"question":161,"scraped_at":7584,"seo":7585,"sitemap":7586,"source_id":7587,"source_name":7588,"source_type":172,"source_url":7589,"stem":7590,"tags":7591,"thumbnail_url":161,"tldr":7593,"tweet":161,"unknown_tags":7594,"__hash__":7595},"summaries\u002Fsummaries\u002Fff126f8e0954389e-skfolio-build-tune-portfolio-optimizers-in-python-summary.md","skfolio: Build & Tune Portfolio Optimizers in Python",{"provider":7,"model":8,"input_tokens":7372,"output_tokens":7373,"processing_time_ms":7374,"cost_usd":7375},9292,2519,30098,0.00309525,{"type":14,"value":7377,"toc":7563},[7378,7382,7413,7417,7466,7470,7535,7539],[17,7379,7381],{"id":7380},"data-prep-and-baseline-benchmarks-deliver-quick-wins","Data Prep and Baseline Benchmarks Deliver Quick Wins",[22,7383,7384,7385,7388,7389,7392,7393,7396,7397,7400,7401,7404,7405,7408,7409,7412],{},"Load S&P 500 prices via ",[82,7386,7387],{},"skfolio.datasets.load_sp500_dataset()",", convert to returns with ",[82,7390,7391],{},"prices_to_returns()",", and split chronologically (",[82,7394,7395],{},"train_test_split(shuffle=False, test_size=0.33)",") to prevent look-ahead bias—training spans ~67% historical days, testing the rest. Baselines like ",[82,7398,7399],{},"EqualWeighted()",", ",[82,7402,7403],{},"InverseVolatility()",", and ",[82,7406,7407],{},"Random()"," fit on train, predict on test, yielding metrics like annualized Sharpe (printed via ",[82,7410,7411],{},"ptf.annualized_sharpe_ratio","), mean return, and volatility. These expose naive strategies' flaws: equal-weight ignores volatility, random adds noise—use them to benchmark any optimizer.",[17,7414,7416],{"id":7415},"mean-variance-risk-measures-and-clustering-beat-baselines","Mean-Variance, Risk Measures, and Clustering Beat Baselines",[22,7418,7419,7422,7423,7426,7427,7430,7431,7434,7435,7400,7438,7441,7442,7445,7446,7449,7450,7453,7454,7457,7458,7461,7462,7465],{},[82,7420,7421],{},"MeanRisk(risk_measure=RiskMeasure.VARIANCE)"," minimizes variance or maximizes Sharpe (",[82,7424,7425],{},"ObjectiveFunction.MAXIMIZE_RATIO","), generating efficient frontiers (",[82,7428,7429],{},"efficient_frontier_size=20",") plotted by risk vs. Sharpe. Swap risks to ",[82,7432,7433],{},"CVaR"," (95%), ",[82,7436,7437],{},"SEMI_VARIANCE",[82,7439,7440],{},"CDAR",", or ",[82,7443,7444],{},"MAX_DRAWDOWN"," for tail-focused portfolios that cut CVaR@95% and max drawdown vs. variance. ",[82,7447,7448],{},"RiskBudgeting()"," equalizes contributions (variance or CVaR). Hierarchical methods shine: ",[82,7451,7452],{},"HierarchicalRiskParity()"," clusters assets via dendrograms for stable weights; ",[82,7455,7456],{},"NestedClustersOptimization()"," nests ",[82,7459,7460],{},"MeanRisk(CVAR)"," inside ",[82,7463,7464],{},"RiskBudgeting(VARIANCE)"," with 5-fold CV, capturing correlations without covariance pitfalls.",[17,7467,7469],{"id":7468},"robust-priors-constraints-and-views-stabilize-real-world-use","Robust Priors, Constraints, and Views Stabilize Real-World Use",[22,7471,7472,7473,7476,7477,7480,7481,7400,7484,7400,7487,7441,7490,7493,7494,7497,7498,7400,7501,7400,7504,7400,7507,7510,7511,7514,7515,7518,7519,7522,7523,7526,7527,7530,7531,7534],{},"Replace ",[82,7474,7475],{},"EmpiricalCovariance()","\u002F",[82,7478,7479],{},"EmpiricalMu()"," with ",[82,7482,7483],{},"DenoiseCovariance()",[82,7485,7486],{},"ShrunkMu()",[82,7488,7489],{},"GerberCovariance()",[82,7491,7492],{},"EWMu(alpha=0.1)"," in ",[82,7495,7496],{},"EmpiricalPrior()"," for max-Sharpe portfolios resilient to estimation error. Add realism via ",[82,7499,7500],{},"min_weights=0.0",[82,7502,7503],{},"max_weights=0.20",[82,7505,7506],{},"transaction_costs=0.0005",[82,7508,7509],{},"groups"," (e.g., GroupA \u003C=0.6, GroupB>=0.2), ",[82,7512,7513],{},"l2_coef=0.01",". ",[82,7516,7517],{},"BlackLitterman(views=[\"AAPL == 0.0008\", \"JPM - BAC == 0.0002\"])"," blends market priors with views. ",[82,7520,7521],{},"FactorModel()"," on ",[82,7524,7525],{},"load_factors_dataset()"," explains returns via external factors, boosting Sharpe. Pipelines like ",[82,7528,7529],{},"SelectKExtremes(k=8)"," + ",[82,7532,7533],{},"MeanRisk()"," prune to top performers.",[17,7536,7538],{"id":7537},"walk-forward-cv-and-tuning-ensure-out-of-sample-performance","Walk-Forward CV and Tuning Ensure Out-of-Sample Performance",[22,7540,7541,7480,7544,7547,7548,7551,7552,7297,7555,7558,7559,7562],{},[82,7542,7543],{},"cross_val_predict()",[82,7545,7546],{},"WalkForward(train_size=252*2, test_size=63)"," simulates rolling 2-year trains\u002F3-month tests, computing portfolio Sharpe\u002FCalmar. ",[82,7549,7550],{},"GridSearchCV()"," tunes ",[82,7553,7554],{},"l2_coef=[0.0,0.01,0.1]",[82,7556,7557],{},"mu_estimator__alpha=[0.05,0.1,0.2,0.5]"," on max-Sharpe, selecting best CV Sharpe. Final ",[82,7560,7561],{},"Population()"," of 18 strategies compares annualized mean\u002Fvol\u002FSharpe\u002FSortino\u002FCVaR@95%\u002Fdrawdowns (sorted by test Sharpe), with plots for cumulative returns, weights, risk contributions—revealing hierarchical\u002Frisk-parity often top variance-based in stability.",{"title":80,"searchDepth":154,"depth":154,"links":7564},[7565,7566,7567,7568],{"id":7380,"depth":154,"text":7381},{"id":7415,"depth":154,"text":7416},{"id":7468,"depth":154,"text":7469},{"id":7537,"depth":154,"text":7538},[160],{"content_references":7571,"triage":7579},[7572,7576],{"type":7573,"title":7574,"url":7575,"context":7128},"tool","skfolio","https:\u002F\u002Fgithub.com\u002Fskfolio\u002Fskfolio",{"type":7130,"title":7577,"url":7578,"context":7128},"Full Codes","https:\u002F\u002Fgithub.com\u002FMarktechpost\u002FAI-Agents-Projects-Tutorials\u002Fblob\u002Fmain\u002FData%20Science\u002Fportfolio_optimization_with_skfolio_Marktechpost.ipynb",{"relevance":7192,"novelty":7192,"quality":7135,"actionability":7135,"composite":7580,"reasoning":7581},3.45,"Category: Data Science & Visualization. The article provides a practical guide on using the skfolio library for portfolio optimization, which aligns with the audience's interest in actionable AI and data science tools. It includes specific code examples and methodologies that can be directly applied, making it useful for developers looking to implement AI in financial products.","\u002Fsummaries\u002Fff126f8e0954389e-skfolio-build-tune-portfolio-optimizers-in-python-summary","2026-05-12 07:05:02","2026-05-12 15:01:25",{"title":7370,"description":80},{"loc":7582},"ff126f8e0954389e","MarkTechPost","https:\u002F\u002Fwww.marktechpost.com\u002F2026\u002F05\u002F12\u002Fa-coding-implementation-to-portfolio-optimization-with-skfolio-for-building-testing-tuning-and-comparing-modern-investment-strategies\u002F","summaries\u002Fff126f8e0954389e-skfolio-build-tune-portfolio-optimizers-in-python-summary",[79,7592,176],"data-science","skfolio's scikit-learn API lets you construct, validate, and compare 18+ portfolio strategies—from baselines to HRP, Black-Litterman, factors, and tuned models—on S&P 500 returns with walk-forward CV and GridSearchCV.",[],"s9QUFNF_HWzNZV61Dh6PEETN3C3-K3FsZalb0rd3HRQ"]