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One more try for IOEA
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‎engram_layout.ipynb‎

Lines changed: 212 additions & 67 deletions
Original file line numberDiff line numberDiff line change
@@ -181,8 +181,9 @@
181181
"\n",
182182
"First, I select 5 keys on the left and right sides having the strongest finger positions, and assign to these keys the top-scoring arrangement of the 5 vowels and of the 5 most frequent consonants. In prior experiments, vowels on the left got consistently higher scores, so I continue with vowels on the left:\n",
183183
"\n",
184-
"#### **E**, T, **A, O, I**, N, S, R, H, L, D, C, **U**, M, F, P, G, W, Y, B, V, K, X, J, Q, Z\n",
185-
"#### E, **T**, A, O, I, **N, S, R, H**, L, D, C, U, M, F, P, G, W, Y, B, V, K, X, J, Q, Z\n",
184+
"**E**, T, **A, O, I**, N, S, R, H, L, D, C, **U**, M, F, P, G, W, Y, B, V, K, X, J, Q, Z\n",
185+
"\n",
186+
"E, **T**, A, O, I, **N, S, R, H**, L, D, C, U, M, F, P, G, W, Y, B, V, K, X, J, Q, Z\n",
186187
" \n",
187188
" Left: Right:\n",
188189
"\n",
@@ -225,7 +226,7 @@
225226
"\n",
226227
"I reserve the familiar location of the bottom left row for common command shortcut letters Z, X, C, and V, and place Q and J, the least common letters (after Z) in the hardest-to-reach locations:\n",
227228
" \n",
228-
"#### E, T, A, O, I, N, S, R, H, **L, D**, [C], U, **M, F, P, G, W, Y, B**, [V], **K**, [X], [J], [Q], [Z]\n",
229+
"E, T, A, O, I, N, S, R, H, **L, D**, [C], U, **M, F, P, G, W, Y, B**, [V], **K**, [X], [J], [Q], [Z]\n",
229230
"\n",
230231
" - - U - - R - - [Q]\n",
231232
" I O E A H T S N [J]\n",
@@ -2190,27 +2191,159 @@
21902191
" I O E A H T S N J\n",
21912192
" V Z X C L B F M\n",
21922193
"\n",
2193-
"Prior results:\n",
2194+
" K U O Y W L G B [Q]\n",
2195+
" H I E A T R S N [J] \n",
2196+
" V Z X C D M F P\n",
21942197
"\n",
2195-
" J U O Y W S M Q Z\n",
2196-
" H I E A T N R C X \n",
2197-
" P K G D L F B V\n",
2198-
" \n",
2199-
" Q U O Y W S M J Z\n",
2200-
" H I E A T N R C X \n",
2201-
" P K G D L F B V\n",
2198+
" K Y O U W L G B [Q]\n",
2199+
" H I E A T R S N [J] \n",
2200+
" V Z X C D M F P\n",
2201+
"\n",
2202+
"Difficult-to-type bigrams with frequencies >1 billion for 2 vowels, 2 consonants, or with K,P,Y,V,Z,X,C (unless equally difficult):\n",
2203+
"\n",
2204+
" KPUY KUOY KYOU\n",
2205+
"\n",
2206+
" TH 100272945963\n",
2207+
" ND 38129777631\n",
2208+
" ST 29704461829\n",
2209+
" NT 29359771944\n",
2210+
" NG 26871805511\n",
2211+
" OU 24531132241 x \n",
2212+
" IO 23542263265\n",
2213+
" VE 23270129573\n",
2214+
" CO 22384167777 \n",
2215+
" HI 21520845924\n",
2216+
" IC 19701195496\n",
2217+
" EA 19403941063\n",
2218+
" CE 18367773425\n",
2219+
" CH 16854985236 x x \n",
2220+
" CA 15174413181\n",
2221+
" NS 14350320288\n",
2222+
" HO 13672603513\n",
2223+
" PE 13477683504 x\n",
2224+
" EC 13457763533\n",
2225+
" PR 13378480175 \n",
2226+
" CT 12997849406 \n",
2227+
" TR 12006693396 xx x x\n",
2228+
" LY 11983948242\n",
2229+
" NC 11722631112\n",
2230+
" RS 11180732354 x \n",
2231+
" IE 10845731320\n",
2232+
" WH 10680697684 \n",
2233+
" RT 10198055461 xx \n",
2234+
" PO 10189505383 xx\n",
2235+
" TS 9516029773\n",
2236+
" PA 9123652775\n",
2237+
" AI 8922759715\n",
2238+
" SH 8888705287\n",
2239+
" IV 8116349309 xx x x\n",
2240+
" IA 8072199471\n",
2241+
" CI 7936922442\n",
2242+
" VI 7600241898 xx\n",
2243+
" PL 7415349106 xx xx\n",
2244+
" EV 7184041787\n",
2245+
" LD 7122648226\n",
2246+
" RY 6985436186\n",
2247+
" MP 6743935008 x x\n",
2248+
" BL 6581097936\n",
2249+
" GH 6414827751 xx\n",
2250+
" K P U Y G R D W Q score: 0.04406521956989739\n",
2251+
" I O E A H T S N J\n",
2252+
" V Z X C L B F M\n",
22022253
"\n",
2203-
" K U O Y W L G B Q\n",
2204-
" H I E A T R S N J \n",
2254+
" K U O Y W L G B [Q]\n",
2255+
" H I E A T R S N [J] \n",
22052256
" V Z X C D M F P\n",
2206-
" \n",
2207-
" J P O U W S M Q Z\n",
2208-
" H I E A T N R C X \n",
2209-
" G K Y D L F B V\n",
2210-
"\n",
2211-
" K Y O U W L G B Q\n",
2212-
" H I E A T R S N J \n",
2213-
" V Z X C D M F P"
2257+
"\n",
2258+
" K Y O U W L G B [Q]\n",
2259+
" H I E A T R S N [J] \n",
2260+
" V Z X C D M F P\n",
2261+
"\n",
2262+
" TY 6408447994\n",
2263+
" AY 6128842727 xx x x\n",
2264+
" EX 6035335807\n",
2265+
" KE 6027536039\n",
2266+
" FR 6011200185 xx\n",
2267+
" AV 5778409728\n",
2268+
" GR 5548472398\n",
2269+
" SP 5392724233\n",
2270+
" RD 5338083783\n",
2271+
" EI 5169898489\n",
2272+
" OV 5021440160\n",
2273+
" BY 4975814759\n",
2274+
" RM 4938158020\n",
2275+
" OC 4692062395\n",
2276+
" RN 4521640992\n",
2277+
" SC 4363410770\n",
2278+
" YO 4226720021\n",
2279+
" CR 4214150542\n",
2280+
" CL 4201617719\n",
2281+
" UE 4158448570\n",
2282+
" EY 4053144855\n",
2283+
" LS 3990203351\n",
2284+
" UP 3835093459\n",
2285+
" HT 3670802795\n",
2286+
" DS 3560125353\n",
2287+
" LT 3486149365\n",
2288+
" PI 3470838749\n",
2289+
" RC 3422694015\n",
2290+
" AU 3356322923\n",
2291+
" CK 3316660134\n",
2292+
" BR 3145611704\n",
2293+
" PT 2982699529\n",
2294+
" PU 2947681332\n",
2295+
" UI 2852182384\n",
2296+
" RG 2813274913\n",
2297+
" TL 2775935006\n",
2298+
" NY 2760941827\n",
2299+
" KI 2759841743\n",
2300+
" RK 2736041446\n",
2301+
" YS 2730343336\n",
2302+
" PH 2661480326\n",
2303+
" MS 2617582287\n",
2304+
" MB 2544901434\n",
2305+
" OI 2474275212\n",
2306+
" RL 2432373251\n",
2307+
" DR 2409399231\n",
2308+
" HR 2379584978\n",
2309+
" TW 2322619238\n",
2310+
" FT 2302659749\n",
2311+
" WN 2227183930\n",
2312+
" EO 2044268477\n",
2313+
" VO 2004982879\n",
2314+
" RV 1953555667\n",
2315+
" NF 1894270041\n",
2316+
" XP 1885334638\n",
2317+
" GN 1850801359\n",
2318+
" SM 1838392669\n",
2319+
" FL 1830098844\n",
2320+
" IZ 1814164135\n",
2321+
" OK 1813376076\n",
2322+
" NL 1798491132\n",
2323+
" MY 1753447198\n",
2324+
" GL 1709752272\n",
2325+
" OA 1620913259\n",
2326+
" SY 1602829285\n",
2327+
" SL 1575646777\n",
2328+
" PS 1538723474\n",
2329+
" LF 1507867867\n",
2330+
" NV 1466426243\n",
2331+
" NK 1455100124\n",
2332+
" KN 1450401608\n",
2333+
" GS 1443474876\n",
2334+
" DY 1421751251\n",
2335+
" HY 1412343465\n",
2336+
" ZE 1402290616\n",
2337+
" KS 1339590722\n",
2338+
" XT 1315669490\n",
2339+
" BS 1292319275\n",
2340+
" IK 1209994695\n",
2341+
" CY 1176324279\n",
2342+
" RP 1173542093\n",
2343+
" SK 1112771273\n",
2344+
" XI 1111463633\n",
2345+
" OE 1089254517\n",
2346+
" OY 1020190223"
22142347
]
22152348
},
22162349
{
@@ -2222,46 +2355,64 @@
22222355
},
22232356
{
22242357
"cell_type": "code",
2225-
"execution_count": 50,
2358+
"execution_count": 61,
22262359
"metadata": {},
22272360
"outputs": [
22282361
{
22292362
"name": "stdout",
22302363
"output_type": "stream",
22312364
"text": [
2232-
"KPUY 0.04406521956989739\n",
2233-
"KGUY 0.04395091609276311\n",
2234-
"JUOY 0.04395426602422222\n",
2235-
"QUOY 0.04395055650267811\n",
2365+
"KPUY-B 0.04401907615377155\n",
2366+
"KPUY-G 0.04406521956989739\n",
22362367
"KUOY 0.04411932034016915\n",
2237-
"JPOU 0.04389704894492415\n"
2368+
"KYOU 0.044117479486280115\n"
22382369
]
22392370
}
22402371
],
22412372
"source": [
22422373
"data_matrix = SpeedStrengthFlow24x24\n",
2374+
"# E, T, A, O, I, U N, S, R, H, V X Z C\n",
2375+
"# L, D, [C], U, M, F, P, G, \n",
2376+
"# W, Y, B, [V], K, [X], [J], [Q], [Z]\n",
22432377
"\n",
2244-
"# Top score:\n",
2245-
"letters = ['K','P','U','Y', 'I','O','E','A', 'V','Z','X','C', 'G','R','D','W', 'H','T','S','N', 'L','B','F','M']\n",
2246-
"t = score_layout(data_matrix, letters, bigrams, verbose=False)\n",
2247-
"print('KPUY', t)\n",
2248-
" \n",
2249-
"# Previous layouts:\n",
2250-
"letters = ['K','G','U','Y', 'I','O','E','A', 'V','Z','X','C', 'F','R','D','W', 'H','T','S','N', 'L','M','P','B']\n",
2251-
"t = score_layout(data_matrix, letters, bigrams, verbose=False)\n",
2252-
"print('KGUY', t)\n",
2253-
"letters = ['J','U','O','Y', 'H','I','E','A', 'P','K','G','D', 'W','S','M','Q', 'T','N','R','C', 'L','F','B','V']\n",
2378+
"\"\"\"\n",
2379+
" K P U Y B R D W [Q]\n",
2380+
" I O E A H T S N [J]\n",
2381+
" V Z X C L G F M \n",
2382+
"\"\"\"\n",
2383+
"letters = ['K','P','U','Y', 'I','O','E','A', 'V','Z','X','C', 'B','R','D','W', 'H','T','S','N', 'L','G','F','M']\n",
22542384
"t = score_layout(data_matrix, letters, bigrams, verbose=False)\n",
2255-
"print('JUOY', t)\n",
2256-
"letters = ['Q','U','O','Y', 'H','I','E','A', 'P','K','G','D', 'W','S','M','J', 'T','N','R','C', 'L','F','B','V']\n",
2385+
"print('KPUY-B', t)\n",
2386+
"\"\"\"\n",
2387+
" K P U Y G R D W [Q]\n",
2388+
" I O E A H T S N [J]\n",
2389+
" V Z X C L B F M\n",
2390+
"\"\"\"\n",
2391+
"letters = ['K','P','U','Y', 'I','O','E','A', 'V','Z','X','C', 'G','R','D','W', 'H','T','S','N', 'L','B','F','M']\n",
22572392
"t = score_layout(data_matrix, letters, bigrams, verbose=False)\n",
2258-
"print('QUOY', t)\n",
2393+
"print('KPUY-G', t)\n",
2394+
" \n",
2395+
"\"\"\"\n",
2396+
" K U O Y W L G B [Q]\n",
2397+
" H I E A T R S N [J] \n",
2398+
" V Z X C D M F P\n",
2399+
"\"\"\"\n",
22592400
"letters = ['K','U','O','Y', 'H','I','E','A', 'V','Z','X','C', 'W','L','G','B', 'T','R','S','N', 'D','M','F','P']\n",
22602401
"t = score_layout(data_matrix, letters, bigrams, verbose=False)\n",
22612402
"print('KUOY', t)\n",
2262-
"letters = ['J','P','O','U', 'H','I','E','A', 'G','K','Y','D', 'W','S','M','Q', 'T','N','R','C', 'L','F','B','V']\n",
2403+
"\n",
2404+
"\"\"\"\n",
2405+
" K U O Y W L G B [Q]\n",
2406+
" H I E A R T S N [J] \n",
2407+
" V Z X C D M F P\n",
2408+
"\n",
2409+
" K U O Y G D L B [Q]\n",
2410+
" H I E A R T S N [J] \n",
2411+
" V Z X C W M F P\n",
2412+
"\"\"\"\n",
2413+
"letters = ['K','U','O','Y', 'H','I','E','A', 'V','Z','X','C', 'W','L','G','B', 'R','T','S','N', 'D','M','F','P']\n",
22632414
"t = score_layout(data_matrix, letters, bigrams, verbose=False)\n",
2264-
"print('JPOU', t)"
2415+
"print('KYOU', t)\n"
22652416
]
22662417
},
22672418
{
@@ -2355,43 +2506,37 @@
23552506
{
23562507
"cell_type": "markdown",
23572508
"metadata": {
2358-
"colab_type": "text",
2359-
"id": "sdl3lLOfDzT8"
2509+
"colab_type": "raw",
2510+
"id": "7lqP4bDvDzT8"
23602511
},
23612512
"source": [
23622513
"### Add punctuation keys and number keys\n",
23632514
"\n",
2364-
" # 1 2 3 4 5 6 7 8 9 0 < >\n",
2515+
" K P U Y ' \" G R D W Q\n",
2516+
" I O E A , . H T S N J\n",
2517+
" V Z X C ( ) L B F M\n",
23652518
"\n",
2366-
" Q I O U ' \" D N L Y Z\n",
2367-
" P H E A , . T S R C X \n",
2368-
" B J K G ( ) M F W V\n"
2369-
]
2370-
},
2371-
{
2372-
"cell_type": "markdown",
2373-
"metadata": {
2374-
"colab_type": "raw",
2375-
"id": "7lqP4bDvDzT8"
2376-
},
2377-
"source": [
2378-
"Shift to access similar-looking characters above the numbers, and swap the Backspace and Caps lock keys:\n",
2519+
"The Shift key accesses characters (top) that look similar to the numbers:\n",
23792520
"\n",
2521+
" ! = ? + $ @ ^ & % *\n",
2522+
" 1 2 3 4 5 6 7 8 9 0\n",
23802523
"\n",
2381-
" ~ ! = ? + $ @ ^ & % * < >\n",
2382-
" # 1 2 3 4 5 6 7 8 9 0 [ ] Caps\n",
2524+
"and accesses related but less common punctuation (top):\n",
2525+
"\n",
2526+
" ` \\ ; : { } | _\n",
2527+
" ' \" , . ( ) / -\n",
23832528
"\n",
2384-
" Tab Q I O U ' \" D N L Y Z - /\n",
2385-
" Back P H E A , . T S R C X Enter\n",
2386-
" Shift B J K G ( ) M F W V Shift\n",
2529+
"Swapping the Backspace and Caps lock keys completes the layout:\n",
23872530
"\n",
2388-
" Ctrl Fn Cmd Alt Space Alt Ctrl Arrows\n",
23892531
"\n",
2532+
" ~ ! = ? + $ @ ^ & % * < >\n",
2533+
" # 1 2 3 4 5 6 7 8 9 0 [ ] Caps\n",
23902534
"\n",
2391-
"Shift to access less common, but similar-meaning punctuation (top):\n",
2535+
" Tab K P U Y ' \" G R D W Q - /\n",
2536+
" Back I O E A , . H T S N J Enter\n",
2537+
" Shift V Z X C ( ) L B F M Shift\n",
23922538
"\n",
2393-
" ~ ` \\ ; : { } | _\n",
2394-
" # ' \" , . ( ) / -\n"
2539+
" Ctrl Fn Cmd Alt Space Alt Ctrl Arrows\n"
23952540
]
23962541
},
23972542
{

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