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Doing this naively takes cubically many operations in the number of layers (so impractical), but it's possible to do this in time linear in the number of layers (so very practical)!

This is possible because the Hessian of a deep net has a matrix polynomial structure that factorizes nicely. The Hessian-inverse-product algorithm that takes advantage of this is similar to running backprop on a dual version of the deep net. It echoes an old idea of Pearlmutter's for computing Hessian-vector products.

Maybe this idea is useful as a preconditioner for stochastic gradient descent?","time":1768509370,"title":"Show HN: The Hessian of tall-skinny networks is easy to invert","type":"story","url":"https://github.com/a-rahimi/hessian"}],[46617668,{"by":"bahmboo","descendants":367,"id":46617668,"kids":[46619097,46617669,46623027,46619817,46619262,46619301,46619360,46625714,46619176,46620647,46636664,46619524,46623325,46624349,46618981,46620384,46622453,46620426,46618805,46628516,46620171,46620465,46620504,46619049,46622430,46622817,46619104,46619644,46620027,46621528,46622676,46618501,46623539],"score":295,"time":1768406591,"title":"Roam 50GB is now Roam 100GB","type":"story","url":"https://starlink.com/support/article/58c9c8b7-474e-246f-7e3c-06db3221d34d"}],[46590280,{"by":"admp","descendants":314,"id":46590280,"kids":[46590534,46591985,46595949,46590844,46591635,46597984,46590948,46593259,46591501,46593682,46596710,46594045,46591801,46592954,46591764,46598620,46590569,46593341,46592992,46591475,46594854,46597876,46593261,46591151,46590898,46597689,46672392,46599293,46592248,46590942,46590819,46593513,46591389,46598671,46591172,46592754,46595522,46592966,46590629,46600771,46593901,46593670,46595785,46590606,46590817,46598588,46602654,46602684,46593989,46597262,46600392,46591303,46591313,46591177,46591725,46592094],"score":737,"time":1768233867,"title":"TimeCapsuleLLM: LLM trained only on data from 1800-1875","type":"story","url":"https://github.com/haykgrigo3/TimeCapsuleLLM"}],[46362275,{"by":"Espressosaurus","descendants":92,"id":46362275,"kids":[46362276,46362602,46362650,46362645,46363130,46365996,46362727,46365499,46363172,46362755,46363095,46364016,46363833],"score":104,"time":1766462222,"title":"FCC Updates Covered List to Include Foreign UAS and UAS Critical Components [pdf]","type":"story","url":"https://docs.fcc.gov/public/attachments/DOC-416839A1.pdf"}],[46335393,{"by":"taubek","descendants":10,"id":46335393,"kids":[46336476,46339733,46335748,46337731,46335583,46336575],"score":62,"time":1766229882,"title":"Airbus moving critical systems away from AWS, Google, and MS","type":"story","url":"https://old.reddit.com/r/europe/comments/1pqucbz/airbus_moving_critical_systems_away_from_aws/"}],[45233337,{"by":"Geekette","descendants":482,"id":45233337,"kids":[45233447,45233528,45244566,45236805,45234123,45248472,45234532,45238498,45234046,45234120,45243384,45234197,45234103,45233405,45234847,45234089,45249531,45236967,45236965,45233994,45233888,45242276,45234173,45246721,45234065,45237825,45233877,45233432,45234112,45234011,45234067,45236946,45234057,45234152,45234059],"score":113,"time":1757781016,"title":"Several people fired after clampdown on speech over Charlie Kirk shooting","type":"story","url":"https://www.theguardian.com/us-news/2025/sep/13/charlie-kirk-shooting-people-fired-social-media"}]]

1.	1 points by Swoerd 85 days ago \| discuss
2.	1 points by Swoerd 110 days ago \| discuss
3.	1 points by Swoerd 111 days ago \| discuss
4.	1 points by Swoerd 248 days ago \| discuss

user:	Swoerd
created:	January 13, 2025
karma:	8