Compare bases · Eigen Times

Two ways to compute the eigen-news

v0 takes the SVD of the centred TF-IDF term matrix (axes are word lists by construction). v1 takes the eigenvectors of the covariance of sentence embeddings and names them through the same vocabulary. Both are varimax-rotated into named axes. Stories, sections and z-scores below are computed identically for both.

Basis	axes	articles with coordinates	section purity
v0 · term-space LSA	60	1105393	37.9%
v1 · embedding eigenbasis	60	1105393	45.6%

Section purity: share of stories carrying a human-assigned Wikipedia Current Events section whose dominant axis's majority section is their own. Labels are never used to fit either basis.

Matched axes

Axes paired by correlation of story coordinates (Kuhn–Munkres on |corr|). A negative correlation means the axes point opposite ways.

corr	v0 · LSA axis	v1 · eigen axis
-0.66	lsa 6 govern parti home countri take long london	eigen 8 senat state chicago basebal republican art counti
-0.64	lsa 51 foreign loss convent church end rev union	eigen 23 polic arrest charg offic kill murder prison
-0.61	lsa 29 street work ship case west proceed return	eigen 2 presid washington trump state chief senat execut
+0.60	lsa 17 elect vote result pres board parti mayor	eigen 17 elect vote democrat parti republican senat presid
+0.59	lsa 34 kill man train polic injur men crash	eigen 46 kill attack murder bomb crash fight indian
+0.56	lsa 13 bank statement reserv save loan nation birth	eigen 21 bank loan financi bond note money busi
+0.55	lsa 32 price rate rise increas bond cut miss	eigen 0 earn qtr compani inc net share corp
+0.54	lsa 38 church miss open record increas parti ship	eigen 13 honor name fire plane mayor work birth
+0.54	lsa 10 court suprem calendar decis appeal law judg	eigen 10 court case judg charg law trial suprem
+0.53	lsa 23 plan build open wed propos miss birth	eigen 15 plan propos meet urg build offer announc
-0.52	lsa 7 railroad accid pacif train road central philadelphia	eigen 20 open announc israel food isra marriag set
+0.52	lsa 57 record birth almanac miniatur arrest french vote	eigen 53 resign charg opera theatr oil price bronx
+0.51	lsa 16 die old age hospit live senat former	eigen 4 death die kill dead funer hospit murder
-0.51	lsa 52 nation foreign polic london report street tax	eigen 24 school colleg student educ univers teacher children
+0.49	lsa 59 war armi bond unit nation men philadelphia	eigen 16 war armi militari forc troop gen navi
+0.48	lsa 9 york birth price book club union compani	eigen 7 york brooklyn citi manhattan island bronx nyc
+0.45	lsa 55 union strike work labor committe men island	eigen 26 union strike labor worker work employ job
+0.43	lsa 19 game team leagu play win score nation	eigen 6 game win team leagu defeat score victori
-0.41	lsa 54 miss church london wed son daughter john	eigen 9 state unit nation feder washington countri counti
+0.41	lsa 20 fire loss burn depart build destroy philadelphia	eigen 30 fire kill burn build oil strike attack
-0.40	lsa 56 compani philadelphia qtr earn unit corp million	eigen 36 season weather good summer dinner film qtr
+0.38	lsa 1 earn qtr net inc share compani sept	eigen 12 note music record book bank busi art
+0.37	lsa 21 birth chang book fund union arrest offic	eigen 27 book john american stock republican british senat
+0.37	lsa 48 london general million leagu charg nation proceed	eigen 50 canadian railroad canada race gold win meet
-0.37	lsa 35 philadelphia nation board island church polic price	eigen 22 name compani busi execut chief offic head
-0.31	lsa 30 chicago birth livestock live west book union	eigen 33 island british polit financi fund govern world
-0.30	lsa 2 democrat convent win special german estat philadelphia	eigen 11 bill senat tax congress hous vote republican
+0.30	lsa 33 book mail polic union nation leagu music	eigen 48 food parti island busi dinner restaur buy
-0.29	lsa 45 convent home bond law open foreign leagu	eigen 29 race car auto win mile hors track
+0.28	lsa 47 brooklyn birth street arrest senat polic report	eigen 42 busi event children store calendar servic naval
-0.27	lsa 39 miss island name sail case music foreign	eigen 59 sale store sold art auction buy sell
-0.26	lsa 26 ship mail birth latest convent board aid	eigen 37 film show art play open park republican
+0.24	lsa 37 order democrat miss convent sale island name	eigen 52 counti minist mayor case trial return governor
-0.23	lsa 5 arriv passeng hotel buyer island sail port	eigen 43 bond water urg use power oil cut
-0.22	lsa 53 island bond long book issu home win	eigen 28 air plane flight airlin crash airport fli
-0.22	lsa 24 meet annual associ dividend held board philadelphia	eigen 31 home car cut million book return son
+0.21	lsa 28 senat republican democrat convent nomin committe parti	eigen 35 stock exchang close mail italian compani corp
+0.21	lsa 12 music war foreign sail estat island german	eigen 44 plant open announc inc name die baltimor
+0.19	lsa 50 coal bond street birth money island republican	eigen 19 island naval john connecticut store open philadelphia
-0.19	lsa 18 marri wed bride daughter miss men brooklyn	eigen 3 bill store open democrat war state campaign
-0.19	lsa 49 charg arrest murder polic philadelphia foreign aid	eigen 40 film tenni car play movi star auto
-0.18	lsa 0 front print appear armi men labour general	eigen 38 china japan chines japanes world govern foreign
-0.18	lsa 58 general gen armi board book report john	eigen 18 music concert opera perform play theater danc
+0.18	lsa 40 jersey island long john armi tax sail	eigen 39 jersey newark counti island john nation philadelphia
+0.18	lsa 42 topic street wall win busi nation price	eigen 25 son man william daughter philadelphia name murder
+0.17	lsa 22 amus even music theatr foreign tax academi	eigen 1 front marriag announc birth stock death market
+0.17	lsa 27 insur compani almanac miniatur war life passeng	eigen 56 hors europ opera connecticut japan public japanes
+0.14	lsa 46 island convent book london war strike men	eigen 34 honor art award exhibit museum show celebr
+0.14	lsa 25 birth club board armi polic book report	eigen 41 aid fund servic hospit relief health benefit
+0.13	lsa 43 boston work men almanac miniatur home old	eigen 47 miss women woman daughter wed marri bride
-0.12	lsa 36 tax island name report incom million share	eigen 49 cotton republican fair parti mail old charg
+0.12	lsa 44 trade board foreign price exchang busi cotton	eigen 57 compani old river busi war corpor econom
-0.12	lsa 14 state unit convent republican law school trade	eigen 32 book publish stori world novel topic life
+0.12	lsa 31 steamer movement ocean europ person exchang london	eigen 45 cotton mexico golf feder mexican name women
+0.10	lsa 11 stock exchang share issu market record list	eigen 51 philadelphia republican pennsylvania penn marri son die
+0.10	lsa 41 steamboat chang philadelphia open net incom law	eigen 14 record car radio marriag japanes indian drive
+0.09	lsa 4 death list dead career burn sudden toll	eigen 5 peac group israel west isra manhattan right
-0.07	lsa 15 intellig marin clear spoken sail telegraph miscellan	eigen 54 park philadelphia order parti member fund group
+0.07	lsa 8 note music theatric foreign estat educ general	eigen 58 report televis film show theatr committe feder
-0.05	lsa 3 marriag announc wed dividend engag arrest order	eigen 55 water film game children proceed loss fall

v0 · term-space LSA

axis	terms	stories	majority section
0	front print appear armi men labour general morn number street	27143	Armed conflicts and attacks (239)
1	earn qtr net inc share compani sept corp loss quarter	6422	Business and economy (49)
2	democrat convent win special german estat philadelphia person parti price	1086	Law and crime (37)
3	marriag announc wed dividend engag arrest order men polic govern	16376	Politics and elections (691)
4	death list dead career burn sudden toll murder caus club	21097	Disasters and accidents (845)
5	arriv passeng hotel buyer island sail port long steamship telegraph	25472	Disasters and accidents (350)
6	govern parti home countri take long london show minist come	34025	Health and environment (371)
7	railroad accid pacif train road central philadelphia pennsylvania freight car	1779	Disasters and accidents (106)
8	note music theatric foreign estat educ general real busi social	25668	Law and crime (32)
9	york birth price book club union compani men close port	12608	Law and crime (240)
10	court suprem calendar decis appeal law judg case justic chamber	25993	Law and crime (1794)
11	stock exchang share issu market record list dividend street republican	17207	Business and economy (206)
12	music war foreign sail estat island german passeng real build	0
13	bank statement reserv save loan nation birth deposit boston trust	36340	Business and economy (455)
14	state unit convent republican law school trade offici governor gov	14810	Armed conflicts and attacks (1403)
15	intellig marin clear spoken sail telegraph miscellan port cabl person	19025	Armed conflicts and attacks (267)
16	die old age hospit live senat former retir price servic	25426	Disasters and accidents (434)
17	elect vote result pres board parti mayor candid case dir	24910	Politics and elections (2865)
18	marri wed bride daughter miss men brooklyn passeng ceremoni rev	14900	Law and crime (63)
19	game team leagu play win score nation club defeat victori	26452	Sports (1611)
20	fire loss burn depart build destroy philadelphia senat hotel destruct	17265	Armed conflicts and attacks (1082)
21	birth chang book fund union arrest offic man aid armi	858	Science and technology (78)
22	amus even music theatr foreign tax academi order opera republican	15759	Arts and culture (92)
23	plan build open wed propos miss birth million aid general	26832	International relations (159)
24	meet annual associ dividend held board philadelphia republican men club	19452	International relations (509)
25	birth club board armi polic book report law money public	9716	Law and crime (158)
26	ship mail birth latest convent board aid foreign miss order	12080	Armed conflicts and attacks (370)
27	insur compani almanac miniatur war life passeng interest bond money	17301	Law and crime (33)
28	senat republican democrat convent nomin committe parti vote philadelphia candid	13058	Politics and elections (718)
29	street work ship case west proceed return strike play night	389	Disasters and accidents (21)
30	chicago birth livestock live west book union wheat grain telegraph	4941	Politics and elections (155)
31	steamer movement ocean europ person exchang london european public america	15818	Armed conflicts and attacks (162)
32	price rate rise increas bond cut miss tax philadelphia order	27016	Business and economy (276)
33	book mail polic union nation leagu music armi price birth	6631	Armed conflicts and attacks (302)
34	kill man train polic injur men crash car attack convent	23804	Armed conflicts and attacks (6830)
35	philadelphia nation board island church polic price art south almanac	998	International relations (178)
36	tax island name report incom million share bond steamship foreign	4919	Business and economy (147)
37	order democrat miss convent sale island name wed counti record	2984	Politics and elections (115)
38	church miss open record increas parti ship home vote statement	383	Politics and elections (52)
39	miss island name sail case music foreign proceed book wed	1888	Politics and elections (179)
40	jersey island long john armi tax sail counti club staten	6610	Disasters and accidents (311)
41	steamboat chang philadelphia open net incom law island name armi	15018	Science and technology (217)
42	topic street wall win busi nation price sept german pari	8086	Politics and elections (119)
43	boston work men almanac miniatur home old live colleg murder	12411	Law and crime (136)
44	trade board foreign price exchang busi cotton sept case ship	22297	International relations (286)
45	convent home bond law open foreign leagu german game polic	4122	Armed conflicts and attacks (393)
46	island convent book london war strike men union german proceed	4149	Health and environment (293)
47	brooklyn birth street arrest senat polic report island nation board	2971	Law and crime (234)
48	london general million leagu charg nation proceed topic trial money	752	Health and environment (70)
49	charg arrest murder polic philadelphia foreign aid trial prison case	27305	Law and crime (1939)
50	coal bond street birth money island republican sept arrest convent	7449	Disasters and accidents (159)
51	foreign loss convent church end rev union win coal children	59	Armed conflicts and attacks (5)
52	nation foreign polic london report street tax club naval convent	526	Armed conflicts and attacks (91)
53	island bond long book issu home win club foreign counti	4620	Law and crime (134)
54	miss church london wed son daughter john rev philadelphia william	13160	Arts and culture (145)
55	union strike work labor committe men island worker board order	17882	Armed conflicts and attacks (362)
56	compani philadelphia qtr earn unit corp million corpor oil inc	50292	Business and economy (441)
57	record birth almanac miniatur arrest french vote polic pari franc	4919	Armed conflicts and attacks (673)
58	general gen armi board book report john union church william	10096	Armed conflicts and attacks (675)
59	war armi bond unit nation men philadelphia loss world million	12617080	Armed conflicts and attacks (1805)

v1 · embedding eigenbasis

axis	terms	stories	majority section
0	earn qtr compani inc net share corp sale quarter stock	26900	Business and economy (332)
1	front marriag announc birth stock death market chicago parti campaign	8221	Disasters and accidents (46)
2	presid washington trump state chief senat execut unit leader white	19675	Politics and elections (995)
3	bill store open democrat war state campaign food nation play	11218	Health and environment (232)
4	death die kill dead funer hospit murder old memori suicid	27385	Disasters and accidents (1168)
5	peac group israel west isra manhattan right protest palestinian film	15255	Armed conflicts and attacks (521)
6	game win team leagu defeat score victori sport play footbal	14504	Sports (1807)
7	york brooklyn citi manhattan island bronx nyc street jersey westchest	3010	Law and crime (64)
8	senat state chicago basebal republican art counti season bond steel	23	Law and crime (1)
9	state unit nation feder washington countri counti american govern governor	17237	Health and environment (601)
10	court case judg charg law trial suprem rule justic suit	16568	Law and crime (1733)
11	bill senat tax congress hous vote republican committe democrat sen	6474	Politics and elections (211)
12	note music record book bank busi art bond financi topic	1816	Law and crime (13)
13	honor name fire plane mayor work birth aid music award	875	Law and crime (77)
14	record car radio marriag japanes indian drive urg japan chief	4462	Law and crime (19)
15	plan propos meet urg build offer announc fund aid ask	21777	International relations (325)
16	war armi militari forc troop gen navi soldier naval defens	28763	Armed conflicts and attacks (4085)
17	elect vote democrat parti republican senat presid polit candid campaign	34001	Politics and elections (4189)
18	music concert opera perform play theater danc show art theatr	26589	Arts and culture (480)
19	island naval john connecticut store open philadelphia queen danc art	3790	Disasters and accidents (136)
20	open announc israel food isra marriag set dinner birth ask	18683	Law and crime (469)
21	bank loan financi bond note money busi fund reserv rate	42225	Business and economy (732)
22	name compani busi execut chief offic head director manag corpor	26420	Business and economy (145)
23	polic arrest charg offic kill murder prison investig man men	41163	Law and crime (2416)
24	school colleg student educ univers teacher children yale graduat studi	28162	Law and crime (393)
25	son man william daughter philadelphia name murder john naval dinner	472	Science and technology (11)
26	union strike labor worker work employ job wage steel industri	24161	Business and economy (254)
27	book john american stock republican british senat foreign wed nation	4898	International relations (183)
28	air plane flight airlin crash airport fli field passeng test	22280	Disasters and accidents (677)
29	race car auto win mile hors track run train yacht	17748	Disasters and accidents (528)
30	fire kill burn build oil strike attack loss injur gas	14333	Disasters and accidents (2499)
31	home car cut million book return son pay tax win	13847	Law and crime (199)
32	book publish stori world novel topic life author film busi	26084	Arts and culture (150)
33	island british polit financi fund govern world tenni ship bronx	24607	Armed conflicts and attacks (572)
34	honor art award exhibit museum show celebr win memori prize	10819	Arts and culture (233)
35	stock exchang close mail italian compani corp intellig secur resign	2175	Law and crime (28)
36	season weather good summer dinner film qtr spring even condit	1178	Health and environment (8)
37	film show art play open park republican polit chicago garden	6646	Politics and elections (147)
38	china japan chines japanes world govern foreign minist intern countri	24760	International relations (920)
39	jersey newark counti island john nation philadelphia son south state	2694	International relations (108)
40	film tenni car play movi star auto air india girl	8366	Science and technology (35)
41	aid fund servic hospit relief health benefit insur award program	12788	Health and environment (633)
42	busi event children store calendar servic naval dinner food annual	3633	International relations (386)
43	bond water urg use power oil cut plant industri club	13741	Law and crime (30)
44	plant open announc inc name die baltimor miss bomb feb	6039	Health and environment (167)
45	cotton mexico golf feder mexican name women william sail labor	2138	Law and crime (16)
46	kill attack murder bomb crash fight indian children son israel	20517	Armed conflicts and attacks (7268)
47	miss women woman daughter wed marri bride girl mother wife	19698	Law and crime (113)
48	food parti island busi dinner restaur buy south good italian	26177	Law and crime (236)
49	cotton republican fair parti mail old charg counti price democrat	13118	Law and crime (255)
50	canadian railroad canada race gold win meet strike nation urg	4069	International relations (341)
51	philadelphia republican pennsylvania penn marri son die men john steel	1383	Law and crime (75)
52	counti minist mayor case trial return governor dividend weather chief	9236	Politics and elections (80)
53	resign charg opera theatr oil price bronx wed bride miss	100	Politics and elections (25)
54	park philadelphia order parti member fund group held reserv son	7737	Armed conflicts and attacks (70)
55	water film game children proceed loss fall coal white river	10850	Disasters and accidents (390)
56	hors europ opera connecticut japan public japanes insur ohio event	14192	Health and environment (328)
57	compani old river busi war corpor econom bridg john chang	8265	Disasters and accidents (77)
58	report televis film show theatr committe feder trial net busi	5172	Law and crime (271)
59	sale store sold art auction buy sell exhibit buyer busi	12599518	Law and crime (147)