diff --git a/pluto-demo.jl b/pluto-demo.jl new file mode 100644 index 0000000..132732c --- /dev/null +++ b/pluto-demo.jl @@ -0,0 +1,1773 @@ +### A Pluto.jl notebook ### +# v0.19.27 + +using Markdown +using InteractiveUtils + +# ╔═╡ 5bfe5ff9-0238-49a4-8e51-cb16e3722d38 +using SoleLogics + +# ╔═╡ cdcdc74f-3267-4cbf-9f8d-08559ddb39e7 +begin + using Graphs + + # Instantiate a frame with 5 worlds and 5 edges + worlds = SoleLogics.World.(1:5) + edges = Edge.([ (1, 2), (1, 3), (2, 4), (3, 4), (3, 5)]) + fr = SoleLogics.ExplicitCrispUniModalFrame(worlds, Graphs.SimpleDiGraph(edges)) +end + +# ╔═╡ 65141ec2-4da9-11ee-2a0a-8974a3ec37da +md""" +# Sole.jl Demo +""" + +# ╔═╡ 4b6b5e78-3754-4d67-9243-7722e0203aeb +md""" +### Propositional Logic +""" + +# ╔═╡ 065f6660-f44f-483e-8f39-cb1bd116ce1f +Proposition("p") + +# ╔═╡ 0deca737-1bbe-49fa-927c-90d16e4cf3f6 +Proposition{String}("p") + +# ╔═╡ 76b644a6-a2e5-4794-bd2d-aeaf0cb7f61a +Proposition(123) + +# ╔═╡ 2dd37d36-b86b-4e9c-afd6-ce1084669a11 +Proposition{Int64}(123) + +# ╔═╡ c91e0387-276b-4869-9a5e-f45e79479d38 +# Instantiate a propositional interpretation +I = TruthDict(["p" => true, "q" => false]) + +# ╔═╡ eba17ad9-9ceb-481a-9067-fee9953defaf +# Parse a formula from string +φ2 = parseformula("¬(p ∧ q)") + +# ╔═╡ 198be476-f170-482a-9d67-55d174ecc2da +# Parse a formula with integer as propositions +φ3 = parseformula("¬(1 ∧ 2)"; proposition_parser = (x -> Proposition(parse(Int64, x)))) + +# ╔═╡ 32cc4dca-8bf0-42d2-b638-b3ac793407fe +md""" +### Modal Logic +""" + +# ╔═╡ 7c533604-a185-4b52-837c-420f2078840f +# Pick the first world +w1 = first(worlds) + +# ╔═╡ 086b2895-c2e7-43fd-9421-9c85cce7b0e9 +# Enumerate its accessible worlds +accessibles(fr, w1) + +# ╔═╡ c19915eb-dd93-4b2d-9be3-a3b3ce621005 +md""" +### Logisets +""" + +# ╔═╡ ecd7377b-1a81-42e4-b216-80cf4184e0ea +begin + # Build set of features + features = [UnivariateMin{Float64}(i_variable) for i_variable in 1:ncol(X_df)] + syntaxstring.(features) +end + +# ╔═╡ 0256bd26-558e-4842-93a3-e882bdfe10be +# Construct a logiset from a DataFrame +logiset = scalarlogiset(X_df, features) + +# ╔═╡ ae1b7375-e85f-48ff-abe4-b1b476d217f0 +# Check the formula on the first interval of every instance +[check(φ, logiset, i, SoleModels.Interval(1,2)) for i in 1:ninstances(X_df)] + +# ╔═╡ dea67564-e905-4a49-9717-ca8071a4d489 +md""" +## Learning and inspecting a Modal Decision Tree +""" + +# ╔═╡ 99b1da9b-517a-4a84-8d0c-26e9f9ff6e15 +# Instantiate the modal extension of CART, that uses relations from the coarser Interval Algebra "IA7" +model = ModalDecisionTree(; relations = :IA7) + +# ╔═╡ 6b494cfc-485d-4f56-9221-9923fc44a4e5 +# Check the formula on the interpretation +check(φ, I) + +# ╔═╡ 9fe948e1-699d-491e-990e-0483ed187b9d +# Produce a string representations of the formula +begin + println("Plain:\t\t\t\t" * syntaxstring(φ)) + println("Function notation:\t" * syntaxstring(φ; function_notation = true)) + println("With paretheses:\t" * syntaxstring(φ; remove_redundant_parentheses = false)) +end + +# ╔═╡ 9a9d0d2f-df64-4cca-aa22-0b75787f18e3 +begin + # Construct the global formula: "there exists at least one interval that..." + glob_φ = global_diamond(φ) + syntaxstring(glob_φ; variable_names_map = names(X_df)) +end + +# ╔═╡ 61e70caa-3365-4efb-9b83-509fb4470ebe +# Check the global formula (note how the world does not matter, since its a global formula) +[check(glob_φ, logiset, i) for i in 1:ninstances(logiset)] + +# ╔═╡ a14b58da-73e5-4c16-9136-343e289be763 +begin + # Create a new logical operator `⊕` + import SoleLogics: arity + const ⊕ = SoleLogics.NamedOperator{:⊕}() + SoleLogics.arity(::Type{SoleLogics.NamedOperator{:⊕}}) = 2 + + parseformula("¬p ∧ q") ⊕ p |> syntaxstring +end + +# ╔═╡ 2f15f508-9bb3-452f-a831-f60144457fa4 +begin + # Give XOR semantics to the operator `⊕` + import SoleLogics: collatetruth + SoleLogics.collatetruth(::SoleLogics.BooleanAlgebra, ::typeof(⊕), (t1, t2)::NTuple{2,Bool}) = Base.xor(t1, t2) + check(φ, I) +end + +# ╔═╡ d3fb3373-3fae-4aca-90b7-718535252703 +# Generate a random formula with the new operator `⊕` +φ5 = randformula(Random.MersenneTwister(5), 2, [p,q], [¬, ∨, ⊕]) + +# ╔═╡ a01c8457-42e6-47ed-bfca-bd8c278d9574 +# Generate a random MODAL formula +φ10 = randformula(Random.MersenneTwister(14), 3, [p,q], SoleLogics.BASE_MODAL_OPERATORS) + +# ╔═╡ bf9f189d-f11d-4830-888d-b5953d6b5690 +begin + # Assign each world a propositional interpretation + valuation = Dict([ + worlds[1] => TruthDict([p => true, q => false]), + worlds[2] => TruthDict([p => true, q => true]), + worlds[3] => TruthDict([p => true, q => false]), + worlds[4] => TruthDict([p => false, q => false]), + worlds[5] => TruthDict([p => false, q => true]), + ]) + + # Instantiate a Kripke structure! + K = KripkeStructure(fr, valuation) + + [w => check(φ, K, w) for w in worlds] +end + +# ╔═╡ 7655458a-d5af-44d9-9ff6-74db67f3d5d4 +# Print model +report(mach).printmodel() + +# ╔═╡ 66ec0d97-a221-4363-a21d-1c15835645d2 +begin + # Print model in a condensed form (useful for checking which variables were useful) + report(mach).printmodel(false) + + # Feature importances + feature_importances(mach) +end + +# ╔═╡ b6d6ed79-9abc-47a6-bbbc-1a1610ffb830 +begin + # Access model + tree_train = report(mach).model + + # Extract the corresponding ruleset + ruleset = listrules(tree_train); + + # Print ruleset + printmodel.(ruleset; show_metrics = true, threshold_digits = 2, variable_names_map = [names(X_df)], parentheses_at_propositions = false); +end + +# ╔═╡ 00310a1c-c4f4-43bc-a60c-a6113434f242 +begin + # Sprinkle the model with the test instances! + predictions, tree_test = report(mach).sprinkle(X_df[test_idxs,:], y[test_idxs]); + + # Extract ruleset and print its metrics + ruleset_test = listrules(tree_test) + + printmodel.(ruleset_test; show_metrics = true, threshold_digits = 2, variable_names_map = [names(X_df)]); +end + +# ╔═╡ b3417b90-c910-407a-939b-5190602c5899 +begin + # In the classification scenario, rules for the same class can be joined via logical conjunction (∨) + joined_ruleset_test = joinrules(ruleset_test) + printmodel.(joined_ruleset_test; show_metrics = true, variable_names_map = [names(X_df)], threshold_digits = 3); +end + +# ╔═╡ 3cdf0a35-edd0-4a02-9410-94e828d0f519 +# This model has a decent accuracy by the way. TODO +evaluate!(mach, + resampling=StratifiedCV(shuffle=true), + measures=[accuracy], + verbosity=0, + check_measure=false +) + + +# ╔═╡ c371c4a8-6b16-4e49-ba94-2dfb433618d2 +begin + # Build a formula on scalar conditions + condition1 = ScalarCondition(features[1], >, -0.5) + condition2 = ScalarCondition(features[2], <, 0) + φ = Proposition(condition1) ∧ Proposition(condition2) + syntaxstring(φ; variable_names_map = names(X_df)) +end + +# ╔═╡ 7685d19e-cc98-4031-a6f9-29ecccc9f417 +begin + using SoleModels + using DataFrames + + # Load an example time-series classification dataset as a tuple (DataFrame, Vector{String}) + X_df, y = SoleModels.load_arff_dataset("NATOPS") +end + +# ╔═╡ 655e01fd-f369-4a45-be51-f4d35dfa08c3 +# Create propositions +p, q = Proposition.(["p", "q"]) + +# ╔═╡ 1ea1d21e-d2c8-40f1-8b81-fe99504c2eed +begin + using Random + + # Create a random formula + φ4 = randformula(Random.MersenneTwister(107), 3, [p,q], SoleLogics.BASE_PROPOSITIONAL_OPERATORS) + + φ4 |> syntaxstring |> println + + # Minimize the formula (according to pre-defined, simple rules, e.g., De Morgan) + normalize(φ4) |> syntaxstring |> println +end + +# ╔═╡ 9ee33338-6985-4745-ab74-7caeac73496e +begin + using MLJ + using Random + using DataFrames + + using ModalDecisionTrees + using SoleModels + + # Load an example time-series classification dataset as a tuple (DataFrame, Vector{String}) + X_df, y = SoleModels.load_arff_dataset("NATOPS") +end + +# ╔═╡ a00c4abe-5534-4c42-9464-d5a6867b9802 +begin + # Randomly split the data: 20% training, 80% testing + N = nrow(X_df) + p = randperm(Random.MersenneTwister(1), N) + train_idxs, test_idxs = p[1:round(Int, N*.2)], p[round(Int, N*.2)+1:end] + + mach = machine(model, X_df, y) + + # Train. + @time fit!(mach; rows=train_idxs) + + # Compute accuracy + yhat = predict_mode(mach, X_df[test_idxs,:]) + MLJ.accuracy(yhat, y[test_idxs]) +end + +# ╔═╡ be89d82c-8c79-4619-abf3-73a8698bd961 +# Manually compose a formula +φ = ¬(p ∧ q) + +# ╔═╡ 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"e92a1a012a10506618f10b7047e478403a046c77" +uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" +version = "1.5.0+0" + +[[deps.ZipFile]] +deps = ["Libdl", "Printf", "Zlib_jll"] +git-tree-sha1 = "f492b7fe1698e623024e873244f10d89c95c340a" +uuid = "a5390f91-8eb1-5f08-bee0-b1d1ffed6cea" +version = "0.10.1" + +[[deps.Zlib_jll]] +deps = ["Libdl"] +uuid = "83775a58-1f1d-513f-b197-d71354ab007a" +version = "1.2.13+0" + +[[deps.catch22_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "7cfb827b3f62e20de3ccebaabf468ea979d098d9" +uuid = "8a07c0c5-99ad-56cb-bc82-72eed1bb61ce" +version = "0.4.0+0" + +[[deps.libblastrampoline_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" +version = "5.7.0+0" + +[[deps.libpng_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] +git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" +uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" +version = "1.6.38+0" + +[[deps.nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" +version = "1.48.0+0" + +[[deps.p7zip_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" +version = "17.4.0+0" + +[[deps.pprof_jll]] +deps = ["Artifacts", "Graphviz_jll", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "b004c9fd6294afe24efccc7e2f055436b63cb809" +uuid = "cf2c5f97-e748-59fa-a03f-dda3c62118cb" +version = "1.0.1+0" +""" + +# ╔═╡ Cell order: +# ╠═65141ec2-4da9-11ee-2a0a-8974a3ec37da +# ╠═4b6b5e78-3754-4d67-9243-7722e0203aeb +# ╠═5bfe5ff9-0238-49a4-8e51-cb16e3722d38 +# ╠═065f6660-f44f-483e-8f39-cb1bd116ce1f +# ╠═0deca737-1bbe-49fa-927c-90d16e4cf3f6 +# ╠═76b644a6-a2e5-4794-bd2d-aeaf0cb7f61a +# ╠═2dd37d36-b86b-4e9c-afd6-ce1084669a11 +# ╠═655e01fd-f369-4a45-be51-f4d35dfa08c3 +# ╠═be89d82c-8c79-4619-abf3-73a8698bd961 +# ╠═c91e0387-276b-4869-9a5e-f45e79479d38 +# ╠═6b494cfc-485d-4f56-9221-9923fc44a4e5 +# ╠═9fe948e1-699d-491e-990e-0483ed187b9d +# 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