From ac7072dde7faf783e5852536c5185866617bb653 Mon Sep 17 00:00:00 2001 From: aver Date: Mon, 22 Apr 2024 19:31:08 +0100 Subject: [PATCH] adding vankrieken2024indep --- _news/indep2024preprint.md | 7 +++++++ _publications/vankrieken2024indep.md | 22 ++++++++++++++++++++ images/papers/vankrieken2024indep/indep.png | Bin 0 -> 82588 bytes 3 files changed, 29 insertions(+) create mode 100644 _news/indep2024preprint.md create mode 100644 _publications/vankrieken2024indep.md create mode 100644 images/papers/vankrieken2024indep/indep.png diff --git a/_news/indep2024preprint.md b/_news/indep2024preprint.md new file mode 100644 index 0000000..bf2e9fa --- /dev/null +++ b/_news/indep2024preprint.md @@ -0,0 +1,7 @@ +--- +title: "Independence Assumption NeSy" +collection: news +permalink: /news/indep-nesy +date: 2024-04-12 +--- +New preprint on what common assumptions in neurosymbolic systems imply in terms of expressiveness and learnability. \ No newline at end of file diff --git a/_publications/vankrieken2024indep.md b/_publications/vankrieken2024indep.md new file mode 100644 index 0000000..cdabee1 --- /dev/null +++ b/_publications/vankrieken2024indep.md @@ -0,0 +1,22 @@ +--- +collection: publications +ref: "vankrieken2024indep" +permalink: "publications/vankrieken2024indep" +title: "On the Independence Assumption in Neurosymbolic Learning" +date: 2024-04-12 00:00 +tags: nesy reasoning uq +image: "/images/papers/vankrieken2024indep/indep.png" +authors: "Emile van Krieken, Pasquale Minervini, Edoardo M. Ponti, Antonio Vergari" +paperurl: "https://arxiv.org/abs/2404.08458" +pdf: "https://arxiv.org/pdf/2404.08458.pdf" +venue: "arXiv 2024" +excerpt: "We theoretically analyze the common assumption that many NeSy models -- from the semantic loss to deep Problog -- do: the independence among terms of a logical formula, and highlight how this biases learning and make some solutions impossible to retrieve." +abstract: "State-of-the-art neurosymbolic learning systems use probabilistic reasoning to guide neural networks towards predictions that conform to logical constraints over symbols. Many such systems assume that the probabilities of the considered symbols are conditionally independent given the input to simplify learning and reasoning. We study and criticise this assumption, highlighting how it can hinder optimisation and prevent uncertainty quantification. We prove that loss functions bias conditionally independent neural networks to become overconfident in their predictions. As a result, they are unable to represent uncertainty over multiple valid options. Furthermore, we prove that these loss functions are difficult to optimise: they are non-convex, and their minima are usually highly disconnected. Our theoretical analysis gives the foundation for replacing the conditional independence assumption and designing more expressive neurosymbolic probabilistic models." +supplemental: +bibtex: "@article{vankrieken2024indep,
+ title={On the Independence Assumption in Neurosymbolic Learning},
+ author={Emile van Krieken, Pasquale Minervini, Edoardo M. Ponti, Antonio Vergari,
+ journal={arXiv preprint arXiv:404.08458},
+ year={2024} +}" +--- \ No newline at end of file diff --git a/images/papers/vankrieken2024indep/indep.png b/images/papers/vankrieken2024indep/indep.png new file mode 100644 index 0000000000000000000000000000000000000000..b12b8ab5375c95c524760db09069fda3a8972e19 GIT binary patch literal 82588 zcmeFYbyQVt_cn@%NQfdG2B0F{os!ZZ(jZ93rbD_E5D7&o0Rbs#kZw>?K%}G_NokN$ zkTVzh)_1;fzVRF5eE+@A7>-BRUi;qnn)i(By5?NZRFv-G;ZWe9p`qc)%1ElBp`ja~ zp`Dq>!h|cGm~oNtzZMTQEoW6jS1Nl)J2OjbQz~b7ds8Y?H%l`#G`CS372S(XR2P0N z5($dy_t;;lR<-0E-XfJ@h_;D&KauVtq3YZ4qdyA6%~dv6r>x7iCo%zZE~-&$jR_VXKYb=};|aUd))}`evg4nF*+=Ag*oKw|w8(CJ zCfT-ACha@_#7z6?bSb_DJYArrgoKK$gv37{2p;2&_e)`!raMumRx^K!TKAR9Xg38s|O!Xrd=yEe7rs@;=rbLlZkAQx-QHdvHB8G$BzpdqZQCsWX+4skx=CFwI6y0}Yj> zi7<^Ow<4ROy@aWSrHqH8>3t6+HDeEyF~13os0fabn*c0eW9n>3m=YNOmn)f z0Q?=f%t}LbdW$nkm_|!cg-XKC(Ugjdg^PuaS<21w5eJP34waCjiJ5?^r1ak<;9tTt z7S7K00<5gAuC6SuoGf;Z=B(`e{QRtJ9IPB1%y0*@le?|6p&PTU(+y;aKWj*uIvG1! z+B;j?*-{~E8XDQTI1AIzz~@x|*q@EPqT)Z7w{`k!1+WLJo1r}`I}01DjScI+f5XXH 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