diff --git a/examples/support-vector-machine/Manifest.toml b/examples/support-vector-machine/Manifest.toml
index 56c5cb51c..f5cdc076d 100644
--- a/examples/support-vector-machine/Manifest.toml
+++ b/examples/support-vector-machine/Manifest.toml
@@ -2,9 +2,9 @@
 
 [[Adapt]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "84918055d15b3114ede17ac6a7182f68870c16f7"
+git-tree-sha1 = "af92965fb30777147966f58acb05da51c5616b5f"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "3.3.1"
+version = "3.3.3"
 
 [[ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
@@ -17,27 +17,33 @@ uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
 [[Bzip2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "c3598e525718abcc440f69cc6d5f60dda0a1b61e"
+git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
 uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
-version = "1.0.6+5"
+version = "1.0.8+0"
 
 [[Cairo_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "e2f47f6d8337369411569fd45ae5753ca10394c6"
+git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2"
 uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
-version = "1.16.0+6"
+version = "1.16.1+1"
 
 [[ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "f53ca8d41e4753c41cdafa6ec5f7ce914b34be54"
+git-tree-sha1 = "926870acb6cbcf029396f2f2de030282b6bc1941"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "0.10.13"
+version = "1.11.4"
+
+[[ChangesOfVariables]]
+deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
+git-tree-sha1 = "bf98fa45a0a4cee295de98d4c1462be26345b9a1"
+uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
+version = "0.1.2"
 
 [[ColorSchemes]]
 deps = ["ColorTypes", "Colors", "FixedPointNumbers", "Random"]
-git-tree-sha1 = "9995eb3977fbf67b86d0a0a0508e83017ded03f2"
+git-tree-sha1 = "a851fec56cb73cfdf43762999ec72eff5b86882a"
 uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
-version = "3.14.0"
+version = "3.15.0"
 
 [[ColorTypes]]
 deps = ["FixedPointNumbers", "Random"]
@@ -53,9 +59,9 @@ version = "0.12.8"
 
 [[Compat]]
 deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
-git-tree-sha1 = "344f143fa0ec67e47917848795ab19c6a455f32c"
+git-tree-sha1 = "44c37b4636bc54afac5c574d2d02b625349d6582"
 uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
-version = "3.32.0"
+version = "3.41.0"
 
 [[CompilerSupportLibraries_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -73,15 +79,15 @@ uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
 version = "0.5.7"
 
 [[DataAPI]]
-git-tree-sha1 = "ee400abb2298bd13bfc3df1c412ed228061a2385"
+git-tree-sha1 = "cc70b17275652eb47bc9e5f81635981f13cea5c8"
 uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
-version = "1.7.0"
+version = "1.9.0"
 
 [[DataStructures]]
 deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
-git-tree-sha1 = "7d9d316f04214f7efdbb6398d545446e246eff02"
+git-tree-sha1 = "3daef5523dd2e769dad2365274f760ff5f282c7d"
 uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
-version = "0.18.10"
+version = "0.18.11"
 
 [[DataValueInterfaces]]
 git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
@@ -96,27 +102,33 @@ uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 deps = ["Mmap"]
 uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
 
+[[DensityInterface]]
+deps = ["InverseFunctions", "Test"]
+git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b"
+uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
+version = "0.4.0"
+
 [[Distances]]
-deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
-git-tree-sha1 = "abe4ad222b26af3337262b8afb28fab8d215e9f8"
+deps = ["LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI"]
+git-tree-sha1 = "3258d0659f812acde79e8a74b11f17ac06d0ca04"
 uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
-version = "0.10.3"
+version = "0.10.7"
 
 [[Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[Distributions]]
-deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns"]
-git-tree-sha1 = "3889f646423ce91dd1055a76317e9a1d3a23fff1"
+deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"]
+git-tree-sha1 = "6a8dc9f82e5ce28279b6e3e2cea9421154f5bd0d"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.11"
+version = "0.25.37"
 
 [[DocStringExtensions]]
 deps = ["LibGit2"]
-git-tree-sha1 = "a32185f5428d3986f47c2ab78b1f216d5e6cc96f"
+git-tree-sha1 = "b19534d1895d702889b219c382a6e18010797f0b"
 uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
-version = "0.8.5"
+version = "0.8.6"
 
 [[Downloads]]
 deps = ["ArgTools", "LibCURL", "NetworkOptions"]
@@ -124,9 +136,9 @@ uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
 
 [[EarCut_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "92d8f9f208637e8d2d28c664051a00569c01493d"
+git-tree-sha1 = "3f3a2501fa7236e9b911e0f7a588c657e822bb6d"
 uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5"
-version = "2.1.5+1"
+version = "2.2.3+0"
 
 [[Expat_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -141,16 +153,16 @@ uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
 version = "0.4.1"
 
 [[FFMPEG_jll]]
-deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "LibVPX_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "Pkg", "Zlib_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
-git-tree-sha1 = "3cc57ad0a213808473eafef4845a74766242e05f"
+deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "Pkg", "Zlib_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
+git-tree-sha1 = "d8a578692e3077ac998b50c0217dfd67f21d1e5f"
 uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
-version = "4.3.1+4"
+version = "4.4.0+0"
 
 [[FillArrays]]
 deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
-git-tree-sha1 = "8c8eac2af06ce35973c3eadb4ab3243076a408e7"
+git-tree-sha1 = "8756f9935b7ccc9064c6eef0bff0ad643df733a3"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
-version = "0.12.1"
+version = "0.12.7"
 
 [[FixedPointNumbers]]
 deps = ["Statistics"]
@@ -160,9 +172,9 @@ version = "0.8.4"
 
 [[Fontconfig_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
-git-tree-sha1 = "35895cf184ceaab11fd778b4590144034a167a2f"
+git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
 uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
-version = "2.13.1+14"
+version = "2.13.93+0"
 
 [[Formatting]]
 deps = ["Printf"]
@@ -172,9 +184,9 @@ version = "0.4.2"
 
 [[FreeType2_jll]]
 deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
-git-tree-sha1 = "cbd58c9deb1d304f5a245a0b7eb841a2560cfec6"
+git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9"
 uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
-version = "2.10.1+5"
+version = "2.10.4+0"
 
 [[FriBidi_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -183,28 +195,27 @@ uuid = "559328eb-81f9-559d-9380-de523a88c83c"
 version = "1.0.10+0"
 
 [[Functors]]
-deps = ["MacroTools"]
-git-tree-sha1 = "4cd9e70bf8fce05114598b663ad79dfe9ae432b3"
+git-tree-sha1 = "e4768c3b7f597d5a352afa09874d16e3c3f6ead2"
 uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
-version = "0.2.3"
+version = "0.2.7"
 
 [[GLFW_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"]
-git-tree-sha1 = "dba1e8614e98949abfa60480b13653813d8f0157"
+git-tree-sha1 = "0c603255764a1fa0b61752d2bec14cfbd18f7fe8"
 uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
-version = "3.3.5+0"
+version = "3.3.5+1"
 
 [[GR]]
 deps = ["Base64", "DelimitedFiles", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Printf", "Random", "Serialization", "Sockets", "Test", "UUIDs"]
-git-tree-sha1 = "182da592436e287758ded5be6e32c406de3a2e47"
+git-tree-sha1 = "b9a93bcdf34618031891ee56aad94cfff0843753"
 uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
-version = "0.58.1"
+version = "0.63.0"
 
 [[GR_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Pkg", "Qt5Base_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "d59e8320c2747553788e4fc42231489cc602fa50"
+git-tree-sha1 = "f97acd98255568c3c9b416c5a3cf246c1315771b"
 uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
-version = "0.58.1+0"
+version = "0.63.0+0"
 
 [[GeometryBasics]]
 deps = ["EarCut_jll", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"]
@@ -220,9 +231,15 @@ version = "0.21.0+0"
 
 [[Glib_jll]]
 deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE_jll", "Pkg", "Zlib_jll"]
-git-tree-sha1 = "7bf67e9a481712b3dbe9cb3dac852dc4b1162e02"
+git-tree-sha1 = "a32d672ac2c967f3deb8a81d828afc739c838a06"
 uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
-version = "2.68.3+0"
+version = "2.68.3+2"
+
+[[Graphite2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
+uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
+version = "1.3.14+0"
 
 [[Grisu]]
 git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
@@ -231,9 +248,15 @@ version = "1.0.2"
 
 [[HTTP]]
 deps = ["Base64", "Dates", "IniFile", "Logging", "MbedTLS", "NetworkOptions", "Sockets", "URIs"]
-git-tree-sha1 = "44e3b40da000eab4ccb1aecdc4801c040026aeb5"
+git-tree-sha1 = "0fa77022fe4b511826b39c894c90daf5fce3334a"
 uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
-version = "0.9.13"
+version = "0.9.17"
+
+[[HarfBuzz_jll]]
+deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
+git-tree-sha1 = "129acf094d168394e80ee1dc4bc06ec835e510a3"
+uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
+version = "2.8.1+1"
 
 [[IOCapture]]
 deps = ["Logging", "Random"]
@@ -251,15 +274,21 @@ version = "0.5.0"
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
 
+[[InverseFunctions]]
+deps = ["Test"]
+git-tree-sha1 = "a7254c0acd8e62f1ac75ad24d5db43f5f19f3c65"
+uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
+version = "0.1.2"
+
 [[IrrationalConstants]]
-git-tree-sha1 = "f76424439413893a832026ca355fe273e93bce94"
+git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
 uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
-version = "0.1.0"
+version = "0.1.1"
 
 [[IterTools]]
-git-tree-sha1 = "05110a2ab1fc5f932622ffea2a003221f4782c18"
+git-tree-sha1 = "fa6287a4469f5e048d763df38279ee729fbd44e5"
 uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
-version = "1.3.0"
+version = "1.4.0"
 
 [[IteratorInterfaceExtensions]]
 git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
@@ -288,7 +317,7 @@ version = "2.1.0+0"
 deps = ["ChainRulesCore", "Compat", "CompositionsBase", "Distances", "FillArrays", "Functors", "IrrationalConstants", "LinearAlgebra", "LogExpFunctions", "Random", "Requires", "SpecialFunctions", "StatsBase", "TensorCore", "Test", "ZygoteRules"]
 path = "../.."
 uuid = "ec8451be-7e33-11e9-00cf-bbf324bd1392"
-version = "0.10.12"
+version = "0.10.27"
 
 [[LAME_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -304,9 +333,9 @@ version = "0.6.0"
 
 [[LIBSVM]]
 deps = ["LIBLINEAR", "LinearAlgebra", "ScikitLearnBase", "SparseArrays", "libsvm_jll"]
-git-tree-sha1 = "729ea2db931587c983d0ef6691b62de5005c5570"
+git-tree-sha1 = "a5e607649aeb9ae3bbde19dc629faaa3b3d8955d"
 uuid = "b1bec4e5-fd48-53fe-b0cb-9723c09d164b"
-version = "0.7.0"
+version = "0.8.0"
 
 [[LZO_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -315,15 +344,15 @@ uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
 version = "2.10.1+0"
 
 [[LaTeXStrings]]
-git-tree-sha1 = "c7f1c695e06c01b95a67f0cd1d34994f3e7db104"
+git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996"
 uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
-version = "1.2.1"
+version = "1.3.0"
 
 [[Latexify]]
 deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "Printf", "Requires"]
-git-tree-sha1 = "a4b12a1bd2ebade87891ab7e36fdbce582301a92"
+git-tree-sha1 = "a8f4f279b6fa3c3c4f1adadd78a621b13a506bce"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
-version = "0.15.6"
+version = "0.15.9"
 
 [[LibCURL]]
 deps = ["LibCURL_jll", "MozillaCACerts_jll"]
@@ -341,20 +370,14 @@ uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
 deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
 uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
 
-[[LibVPX_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "12ee7e23fa4d18361e7c2cde8f8337d4c3101bc7"
-uuid = "dd192d2f-8180-539f-9fb4-cc70b1dcf69a"
-version = "1.10.0+0"
-
 [[Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
 
 [[Libffi_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "761a393aeccd6aa92ec3515e428c26bf99575b3b"
+git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
 uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
-version = "3.2.2+0"
+version = "3.2.2+1"
 
 [[Libgcrypt_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"]
@@ -404,24 +427,24 @@ uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[Literate]]
 deps = ["Base64", "IOCapture", "JSON", "REPL"]
-git-tree-sha1 = "04a71882b041c0d896e4b379bb333a2e2d04054e"
+git-tree-sha1 = "d3493acfb9e6aa0cff46b09773fc2342327b0feb"
 uuid = "98b081ad-f1c9-55d3-8b20-4c87d4299306"
-version = "2.9.1"
+version = "2.9.4"
 
 [[LogExpFunctions]]
-deps = ["DocStringExtensions", "LinearAlgebra"]
-git-tree-sha1 = "7bd5f6565d80b6bf753738d2bc40a5dfea072070"
+deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
+git-tree-sha1 = "e5718a00af0ab9756305a0392832c8952c7426c1"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-version = "0.2.5"
+version = "0.3.6"
 
 [[Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
 [[MacroTools]]
 deps = ["Markdown", "Random"]
-git-tree-sha1 = "0fb723cd8c45858c22169b2e42269e53271a6df7"
+git-tree-sha1 = "3d3e902b31198a27340d0bf00d6ac452866021cf"
 uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
-version = "0.5.7"
+version = "0.5.9"
 
 [[Markdown]]
 deps = ["Base64"]
@@ -444,9 +467,9 @@ version = "0.3.1"
 
 [[Missings]]
 deps = ["DataAPI"]
-git-tree-sha1 = "4ea90bd5d3985ae1f9a908bd4500ae88921c5ce7"
+git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
 uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
-version = "1.0.0"
+version = "1.0.2"
 
 [[Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
@@ -455,24 +478,28 @@ uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
 
 [[NaNMath]]
-git-tree-sha1 = "bfe47e760d60b82b66b61d2d44128b62e3a369fb"
+git-tree-sha1 = "f755f36b19a5116bb580de457cda0c140153f283"
 uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
-version = "0.3.5"
+version = "0.3.6"
 
 [[NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 
 [[Ogg_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "7937eda4681660b4d6aeeecc2f7e1c81c8ee4e2f"
+git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f"
 uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
-version = "1.3.5+0"
+version = "1.3.5+1"
+
+[[OpenLibm_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
 
 [[OpenSSL_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "15003dcb7d8db3c6c857fda14891a539a8f2705a"
+git-tree-sha1 = "648107615c15d4e09f7eca16307bc821c1f718d8"
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
-version = "1.1.10+0"
+version = "1.1.13+0"
 
 [[OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
@@ -499,15 +526,15 @@ version = "8.44.0+0"
 
 [[PDMats]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "4dd403333bcf0909341cfe57ec115152f937d7d8"
+git-tree-sha1 = "ee26b350276c51697c9c2d88a072b339f9f03d73"
 uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
-version = "0.11.1"
+version = "0.11.5"
 
 [[Parsers]]
 deps = ["Dates"]
-git-tree-sha1 = "477bf42b4d1496b454c10cce46645bb5b8a0cf2c"
+git-tree-sha1 = "d7fa6237da8004be601e19bd6666083056649918"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.0.2"
+version = "2.1.3"
 
 [[Pixman_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -527,21 +554,21 @@ version = "2.0.1"
 
 [[PlotUtils]]
 deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "Statistics"]
-git-tree-sha1 = "501c20a63a34ac1d015d5304da0e645f42d91c9f"
+git-tree-sha1 = "68604313ed59f0408313228ba09e79252e4b2da8"
 uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
-version = "1.0.11"
+version = "1.1.2"
 
 [[Plots]]
-deps = ["Base64", "Contour", "Dates", "FFMPEG", "FixedPointNumbers", "GR", "GeometryBasics", "JSON", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "PlotThemes", "PlotUtils", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs"]
-git-tree-sha1 = "e39bea10478c6aff5495ab522517fae5134b40e3"
+deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "GeometryBasics", "JSON", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "PlotThemes", "PlotUtils", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"]
+git-tree-sha1 = "68e602f447344154f3b80f7d14bfb459a0f4dadf"
 uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
-version = "1.20.0"
+version = "1.25.5"
 
 [[Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "00cfd92944ca9c760982747e9a1d0d5d86ab1e5a"
+git-tree-sha1 = "2cf929d64681236a2e074ffafb8d568733d2e6af"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.2.2"
+version = "1.2.3"
 
 [[Printf]]
 deps = ["Unicode"]
@@ -555,9 +582,9 @@ version = "5.15.3+0"
 
 [[QuadGK]]
 deps = ["DataStructures", "LinearAlgebra"]
-git-tree-sha1 = "12fbe86da16df6679be7521dfb39fbc861e1dc7b"
+git-tree-sha1 = "78aadffb3efd2155af139781b8a8df1ef279ea39"
 uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
-version = "2.4.1"
+version = "2.4.2"
 
 [[REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
@@ -568,26 +595,26 @@ deps = ["Serialization"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
 [[RecipesBase]]
-git-tree-sha1 = "b3fb709f3c97bfc6e948be68beeecb55a0b340ae"
+git-tree-sha1 = "6bf3f380ff52ce0832ddd3a2a7b9538ed1bcca7d"
 uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
-version = "1.1.1"
+version = "1.2.1"
 
 [[RecipesPipeline]]
 deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase"]
-git-tree-sha1 = "2a7a2469ed5d94a98dea0e85c46fa653d76be0cd"
+git-tree-sha1 = "7ad0dfa8d03b7bcf8c597f59f5292801730c55b8"
 uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
-version = "0.3.4"
+version = "0.4.1"
 
 [[Reexport]]
-git-tree-sha1 = "5f6c21241f0f655da3952fd60aa18477cf96c220"
+git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
 uuid = "189a3867-3050-52da-a836-e630ba90ab69"
-version = "1.1.0"
+version = "1.2.2"
 
 [[Requires]]
 deps = ["UUIDs"]
-git-tree-sha1 = "4036a3bd08ac7e968e27c203d45f5fff15020621"
+git-tree-sha1 = "8f82019e525f4d5c669692772a6f4b0a58b06a6a"
 uuid = "ae029012-a4dd-5104-9daa-d747884805df"
-version = "1.1.3"
+version = "1.2.0"
 
 [[Rmath]]
 deps = ["Random", "Rmath_jll"]
@@ -643,43 +670,43 @@ deps = ["LinearAlgebra", "Random"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 
 [[SpecialFunctions]]
-deps = ["ChainRulesCore", "LogExpFunctions", "OpenSpecFun_jll"]
-git-tree-sha1 = "a322a9493e49c5f3a10b50df3aedaf1cdb3244b7"
+deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
+git-tree-sha1 = "e08890d19787ec25029113e88c34ec20cac1c91e"
 uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
-version = "1.6.1"
+version = "2.0.0"
 
 [[StaticArrays]]
 deps = ["LinearAlgebra", "Random", "Statistics"]
-git-tree-sha1 = "3240808c6d463ac46f1c1cd7638375cd22abbccb"
+git-tree-sha1 = "88a559da57529581472320892576a486fa2377b9"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.2.12"
+version = "1.3.1"
 
 [[Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 
 [[StatsAPI]]
-git-tree-sha1 = "1958272568dc176a1d881acb797beb909c785510"
+git-tree-sha1 = "d88665adc9bcf45903013af0982e2fd05ae3d0a6"
 uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
-version = "1.0.0"
+version = "1.2.0"
 
 [[StatsBase]]
-deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
-git-tree-sha1 = "fed1ec1e65749c4d96fc20dd13bea72b55457e62"
+deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
+git-tree-sha1 = "51383f2d367eb3b444c961d485c565e4c0cf4ba0"
 uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
-version = "0.33.9"
+version = "0.33.14"
 
 [[StatsFuns]]
-deps = ["LogExpFunctions", "Rmath", "SpecialFunctions"]
-git-tree-sha1 = "30cd8c360c54081f806b1ee14d2eecbef3c04c49"
+deps = ["ChainRulesCore", "InverseFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
+git-tree-sha1 = "bedb3e17cc1d94ce0e6e66d3afa47157978ba404"
 uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
-version = "0.9.8"
+version = "0.9.14"
 
 [[StructArrays]]
 deps = ["Adapt", "DataAPI", "StaticArrays", "Tables"]
-git-tree-sha1 = "000e168f5cc9aded17b6999a560b7c11dda69095"
+git-tree-sha1 = "2ce41e0d042c60ecd131e9fb7154a3bfadbf50d3"
 uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
-version = "0.6.0"
+version = "0.6.3"
 
 [[SuiteSparse]]
 deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
@@ -697,9 +724,9 @@ version = "1.0.1"
 
 [[Tables]]
 deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "TableTraits", "Test"]
-git-tree-sha1 = "d0c690d37c73aeb5ca063056283fde5585a41710"
+git-tree-sha1 = "bb1064c9a84c52e277f1096cf41434b675cd368b"
 uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
-version = "1.5.0"
+version = "1.6.1"
 
 [[Tar]]
 deps = ["ArgTools", "SHA"]
@@ -727,6 +754,17 @@ uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
 [[Unicode]]
 uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
 
+[[UnicodeFun]]
+deps = ["REPL"]
+git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
+uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
+version = "0.4.1"
+
+[[Unzip]]
+git-tree-sha1 = "34db80951901073501137bdbc3d5a8e7bbd06670"
+uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
+version = "0.1.2"
+
 [[Wayland_jll]]
 deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
 git-tree-sha1 = "3e61f0b86f90dacb0bc0e73a0c5a83f6a8636e23"
@@ -734,10 +772,10 @@ uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
 version = "1.19.0+0"
 
 [[Wayland_protocols_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll"]
-git-tree-sha1 = "2839f1c1296940218e35df0bbb220f2a79686670"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "66d72dc6fcc86352f01676e8f0f698562e60510f"
 uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
-version = "1.18.0+4"
+version = "1.23.0+0"
 
 [[XML2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
@@ -889,21 +927,21 @@ version = "1.5.0+0"
 
 [[ZygoteRules]]
 deps = ["MacroTools"]
-git-tree-sha1 = "9e7a1e8ca60b742e508a315c17eef5211e7fbfd7"
+git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0"
 uuid = "700de1a5-db45-46bc-99cf-38207098b444"
-version = "0.2.1"
+version = "0.2.2"
 
 [[libass_jll]]
-deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
-git-tree-sha1 = "acc685bcf777b2202a904cdcb49ad34c2fa1880c"
+deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
+git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
 uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
-version = "0.14.0+4"
+version = "0.15.1+0"
 
 [[libfdk_aac_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "7a5780a0d9c6864184b3a2eeeb833a0c871f00ab"
+git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
 uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
-version = "0.1.6+4"
+version = "2.0.2+0"
 
 [[liblinear_jll]]
 deps = ["Libdl", "Pkg"]
@@ -939,15 +977,15 @@ uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
 
 [[x264_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "d713c1ce4deac133e3334ee12f4adff07f81778f"
+git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
 uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
-version = "2020.7.14+2"
+version = "2021.5.5+0"
 
 [[x265_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "487da2f8f2f0c8ee0e83f39d13037d6bbf0a45ab"
+git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
 uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
-version = "3.0.0+3"
+version = "3.5.0+0"
 
 [[xkbcommon_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
diff --git a/examples/support-vector-machine/Project.toml b/examples/support-vector-machine/Project.toml
index 43d3ca7dc..9e527b4c4 100644
--- a/examples/support-vector-machine/Project.toml
+++ b/examples/support-vector-machine/Project.toml
@@ -9,7 +9,7 @@ Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
 [compat]
 Distributions = "0.25"
 KernelFunctions = "0.10"
-LIBSVM = "0.7"
+LIBSVM = "0.7, 0.8"
 Literate = "2"
 Plots = "1"
 julia = "1.3"
diff --git a/examples/support-vector-machine/script.jl b/examples/support-vector-machine/script.jl
index 4c3861e86..ce68c15f2 100644
--- a/examples/support-vector-machine/script.jl
+++ b/examples/support-vector-machine/script.jl
@@ -2,7 +2,7 @@
 #
 # In this notebook we show how you can use KernelFunctions.jl to generate
 # kernel matrices for classification with a support vector machine, as
-# implemented by LIBSVM.
+# implemented by [LIBSVM](https://github.com/JuliaML/LIBSVM.jl).
 
 using Distributions
 using KernelFunctions
@@ -17,39 +17,46 @@ Random.seed!(1234);
 # ## Generate half-moon dataset
 
 # Number of samples per class:
-nin = nout = 50;
+n1 = n2 = 50;
 
 # We generate data based on SciKit-Learn's sklearn.datasets.make_moons function:
 
-class1x = cos.(range(0, π; length=nout))
-class1y = sin.(range(0, π; length=nout))
-class2x = 1 .- cos.(range(0, π; length=nin))
-class2y = 1 .- sin.(range(0, π; length=nin)) .- 0.5
-X = hcat(vcat(class1x, class2x), vcat(class1y, class2y))
-X .+= 0.1randn(size(X))
+angle1 = range(0, π; length=n1)
+angle2 = range(0, π; length=n2)
+X1 = [cos.(angle1) sin.(angle1)] .+ 0.1 .* randn.()
+X2 = [1 .- cos.(angle2) 1 .- sin.(angle2) .- 0.5] .+ 0.1 .* randn.()
+X = [X1; X2]
 x_train = RowVecs(X)
-y_train = vcat(fill(-1, nout), fill(1, nin));
+y_train = vcat(fill(-1, n1), fill(1, n2));
 
-# Create a 100×100 2D grid for evaluation:
-test_range = range(floor(Int, minimum(X)), ceil(Int, maximum(X)); length=100)
-x_test = ColVecs(mapreduce(collect, hcat, Iterators.product(test_range, test_range)));
-
-# ## SVM model
+# ## Training
 #
-# Create kernel function:
+# We create a kernel function:
 k = SqExponentialKernel() ∘ ScaleTransform(1.5)
 
-# [LIBSVM](https://github.com/JuliaML/LIBSVM.jl) can make use of a pre-computed kernel matrix.
-# KernelFunctions.jl can be used to produce that.
-#
-# Precomputed matrix for training
+# LIBSVM can make use of a pre-computed kernel matrix.
+# KernelFunctions.jl can be used to produce that using `kernelmatrix`:
 model = svmtrain(kernelmatrix(k, x_train), y_train; kernel=LIBSVM.Kernel.Precomputed)
 
-# Precomputed matrix for prediction
+# ## Prediction
+#
+# For evaluation, we create a 100×100 2D grid based on the extent of the training data:
+test_range = range(floor(Int, minimum(X)), ceil(Int, maximum(X)); length=100)
+x_test = ColVecs(mapreduce(collect, hcat, Iterators.product(test_range, test_range)));
+
+# Again, we pass the result of KernelFunctions.jl's `kernelmatrix` to LIBSVM:
 y_pred, _ = svmpredict(model, kernelmatrix(k, x_train, x_test));
 
-# Visualize prediction on a grid:
+# We can see that the kernelized, non-linear classification successfully separates the two classes in the training data:
 plot(; lim=extrema(test_range), aspect_ratio=1)
-contourf!(test_range, test_range, y_pred; levels=1, color=cgrad(:redsblues), alpha=0.7)
-scatter!(X[y_train .== -1, 1], X[y_train .== -1, 2]; color=:red, label="class 1")
-scatter!(X[y_train .== +1, 1], X[y_train .== +1, 2]; color=:blue, label="class 2")
+contourf!(
+    test_range,
+    test_range,
+    y_pred;
+    levels=1,
+    color=cgrad(:redsblues),
+    alpha=0.7,
+    colorbar_title="prediction",
+)
+scatter!(X1[:, 1], X1[:, 2]; color=:red, label="training data: class –1")
+scatter!(X2[:, 1], X2[:, 2]; color=:blue, label="training data: class 1")