@vince.quant: What if having less data actually made your portfolio better? Classical portfolio theory says this should fail. When N > T, the sample covariance matrix becomes singular and you can construct portfolios with zero in-sample variance. Most people would call this overfitting. But a recent preprint by Chang, Ding, Shi and Zhang (2026) shows something more subtle. Using a simple estimator called Ridgelet, which adds a tiny fixed perturbation to the covariance matrix, they show that out-of-sample risk follows a double descent curve. Risk increases as you approach the interpolation threshold N = T, but once you move deep into the overparameterized regime N >> T, it decreases again. The intuition: when many portfolios perfectly fit the data, the estimator selects the minimum L2-norm solution, which can generalize well. The same phenomenon that drives modern overparameterized neural networks shows up in portfolio construction. This is a preprint, not yet peer-reviewed. Limitations: -> The theory relies on factor model assumptions and random matrix asymptotics -> The "good" regime requires N >> T, not just slightly above -> Performance depends on the covariance structure -> A naive pseudoinverse approach fails badly out-of-sample Paper -> arXiv:2602.19462 #finance #quant #trading #algotrading #stocks
vince.quant
Region: FR
Tuesday 28 April 2026 23:10:35 GMT
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Stef :
Correct me if I’m wrong, but if you just have very few observations, then wouldn’t you just have not enough data to train a good model?
2026-04-29 08:25:31
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Pontic_Child :
be VERY CAUTIOUS with claims related to double descent.
The phoenomenon was observed in neural nets and is not fully understood, there is no particular reason it would ever generalise to other estimation methods. Unless mathematicians got their proofs completely wrong, the bias-variance tradeoff must always hold.
2026-07-02 22:57:52
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no brain :
Doesnt sound well-posed in the sense of Hadamard, no? Infinitesimally small pertubation tau would admit infinite number of solutions. Any epsilon noise can invoke a massively different solution
2026-04-30 02:15:45
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User529483921 :
So we should use panel data methods rather than time series.
2026-04-29 18:09:38
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QuantSophia :
does double descend work for strategy optimisation too? meaning we don’t overfit but hyperfit 🤣
2026-06-09 12:28:51
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Orion :
sometimes, its very easy to create a "Frankenstein" formula by multiplying, squaring, adding, powering, matrixing the numbers, in the end the number often fail for future purposes
2026-04-29 13:08:06
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ABDULLAH :
But that will lead to underfitting for the model
2026-06-22 20:40:49
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jnewacc :
Is it stable though? Eigenvalue decomposition will show
2026-04-29 10:23:30
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Marius Marin :
they show a practical example ?
2026-04-29 09:36:47
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The millis :
❤️💪💖
2026-05-01 09:53:16
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