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	1092042	41.6%
v1 · embedding eigenbasis	60	1092042	38.8%

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
+0.76	lsa 8 inflat nation council rate budget rise england	eigen 14 countri state school children war live minist
-0.71	lsa 3 polic arrest offic protest investig suspect murder	eigen 3 world compani market develop price product vote
-0.68	lsa 18 kill injur least other bomb crash provinc	eigen 2 compani work chang need busi public good
+0.65	lsa 17 russian russia ukrain putin ukrainian moscow vladimir	eigen 18 russian russia ukrain putin ukrainian moscow vladimir
+0.64	lsa 1 parti labour tori conserv leader elect lib	eigen 1 elect parti labour vote minist tori polit
+0.64	lsa 16 court judg rule case trial legal justic	eigen 11 court judg case sentenc trial law legal
+0.61	lsa 7 trump donald presid biden republican immigr white	eigen 4 trump presid donald republican state american senat
+0.61	lsa 10 climat emiss chang carbon global warm temperatur	eigen 8 climat energi emiss gas carbon fuel global
+0.60	lsa 13 flight airlin passeng airport plane air aircraft	eigen 10 flight airlin passeng airport plane air travel
-0.59	lsa 11 isra israel palestinian gaza hama strip netanyahu	eigen 21 england compani rate cost consum offic market
-0.58	lsa 2 nation million union strike increas record britain	eigen 6 think thing know don seem good want
+0.58	lsa 5 group johnson sale conserv share profit invest	eigen 17 share price sale investor buy sell market
-0.57	lsa 0 bank financi credit rate loan barclay account	eigen 0 kill human polic court militari anim sexual
-0.57	lsa 31 fire oil profit european communiti support women	eigen 15 china chines beij india japan countri world
+0.57	lsa 22 pension australia bird speci australian death insur	eigen 29 french franc bird speci journalist custom elect
+0.55	lsa 15 european europ franc germani french german union	eigen 13 european europ franc french germani brexit german
+0.55	lsa 12 servic custom phone mobil internet network user	eigen 28 user internet googl phone onlin mobil appl
+0.52	lsa 6 pakistan taliban record cameron afghan afghanistan obama	eigen 7 zealand children passeng rail ireland mayor injur
-0.51	lsa 27 democrat republican case letter strike london children	eigen 12 minist prime secretari blair tori cameron mps
-0.51	lsa 23 protest demonstr right activist arrest group anti	eigen 19 investig murder found intellig inquiri tax detect
-0.50	lsa 46 share right human letter inform church issu	eigen 30 game world play win film player footbal
-0.49	lsa 20 hous properti home mortgag build buyer buy	eigen 45 oil univers economi scientist drug world scienc
-0.49	lsa 39 women men woman sexual femal sex girl	eigen 34 presid site man game north build water
+0.49	lsa 44 car vehicl driver road drive motor transport	eigen 22 car vehicl driver road drive transport motor
+0.48	lsa 9 market problem number manag power nuclear staff	eigen 16 market ftse south close analyst scientist down
-0.48	lsa 52 water area food flood speci river farm	eigen 51 technolog univers murder intellig muslim terror student
-0.46	lsa 50 presid former africa phone obama countri polit	eigen 38 tori conserv brexit mps immigr area trump
+0.44	lsa 19 covid case vaccin pandem record coronavirus lockdown	eigen 5 covid vaccin health case coronavirus virus infect
-0.44	lsa 40 death die toll famili murder record bodi	eigen 9 unit injur forc target game state border
-0.42	lsa 4 price rise market oil inflat rate share	eigen 42 bank financi fund member former money investig
-0.41	lsa 14 world countri nation communiti million war crime	eigen 26 fire senat injur nuclear california energi republican
-0.41	lsa 24 vaccin point pay ftse rate investor network	eigen 20 food store retail shop supermarket sale chain
+0.40	lsa 42 citi mayor council local york resid street	eigen 24 london citi mayor build local capit street
+0.37	lsa 30 injur man report found shoot committe food	eigen 37 brown japan california chancellor johnson japanes sex
+0.37	lsa 36 pension plan vaccin home age polici rate	eigen 31 win life game old immigr sentenc pension
+0.34	lsa 21 children famili flood child aid crisi home	eigen 25 unit servic injur nuclear station train rail
+0.33	lsa 34 ireland northern irish ira sinn unionist belfast	eigen 55 ireland northern irish ira belfast sinn unionist
+0.33	lsa 26 london train rail transport passeng travel british	eigen 56 british britain london england blair labour brexit
+0.33	lsa 48 attack bomb terrorist terror secur target suicid	eigen 35 attack bomb terror terrorist islam warn secur
+0.33	lsa 28 soldier republican fund armi troop union palestinian	eigen 32 democrat black rebel senat mayor brown congo
-0.32	lsa 33 unit state kingdom nation depart announc feder	eigen 33 labour brexit corbyn footbal former leader media
-0.26	lsa 59 announc cut plan budget follow bird down	eigen 27 alleg former man accus resign record name
+0.26	lsa 29 korea north south korean nuclear kim japan	eigen 23 korea north korean militari south japan nuclear
-0.25	lsa 38 brexit deal johnson bori negoti agreement vote	eigen 48 ban public report warn film elect law
+0.22	lsa 32 record nationwid past bring total crime custom	eigen 41 event climat weather muslim indonesia japan insur
-0.21	lsa 53 syrian syria assad rebel turkey turkish damascus	eigen 44 scotland scottish japan ukrain earthquak spain island
+0.20	lsa 45 prison sentenc charg jail trial convict arrest	eigen 54 arrest charg alleg old man money plant
-0.18	lsa 43 australia australian member famili group nation univers	eigen 50 labour tori obama war brown white economi
+0.18	lsa 41 asylum immigr refuge seeker home migrant number	eigen 58 prison sentenc jail hour secur convict space
-0.16	lsa 56 execut chief director group report board sir	eigen 57 blair toni bomb investor market stock mail
-0.15	lsa 25 pay custom offer insur charg fee paid	eigen 49 growth economi econom chang recoveri reform return
+0.13	lsa 49 develop scotland scottish parliament appl countri famili	eigen 47 appl build iphon debt museum develop nuclear
-0.13	lsa 55 oil foreign offici site intern member googl	eigen 36 record number total figur million least report
+0.12	lsa 47 energi gas electr power fuel nuclear carbon	eigen 39 fire gas hour energi morn station oil
+0.12	lsa 37 letter email number com figur home offic	eigen 40 german germani letter christma email war announc
+0.10	lsa 51 committe mps member bill parliament vote common	eigen 43 resign leav down fall end loss cut
-0.10	lsa 57 mortgag loan lender rate borrow properti debt	eigen 46 australia australian zealand island sea state coast
-0.10	lsa 54 famili royal vaccin british releas appl mother	eigen 59 refuge help asylum hospit patient aid human
-0.07	lsa 35 fire air defenc militari forc shoot shot	eigen 52 claim say statement comment deni reject ask
-0.04	lsa 58 secretari market york phone alleg charg brown	eigen 53 church pope cathol bishop christian archbishop vatican

v0 · term-space LSA

axis	terms	stories	majority section
0	bank financi credit rate loan barclay account lloyd interest card	24637	Business and economy (340)
1	parti labour tori conserv leader elect lib dem liber democrat	29346	Politics and elections (1119)
2	nation million union strike increas record britain launch announc rise	20905	Politics and elections (1666)
3	polic arrest offic protest investig suspect murder man crime forc	26024	Law and crime (1239)
4	price rise market oil inflat rate share increas higher ftse	26711	Business and economy (198)
5	group johnson sale conserv share profit invest bori question tori	3443	Science and technology (27)
6	pakistan taliban record cameron afghan afghanistan obama right system pakistani	996	Armed conflicts and attacks (22)
7	trump donald presid biden republican immigr white administr tariff feder	22922	Politics and elections (659)
8	inflat nation council rate budget rise england brown need polici	939	Arts and culture (7)
9	market problem number manag power nuclear staff phone record letter	3677	Sports (21)
10	climat emiss chang carbon global warm temperatur greenhous gas world	17420	Health and environment (58)
11	isra israel palestinian gaza hama strip netanyahu jerusalem west jewish	16788	Armed conflicts and attacks (2164)
12	servic custom phone mobil internet network user provid offer onlin	28738	Business and economy (80)
13	flight airlin passeng airport plane air aircraft travel fli aviat	17416	Disasters and accidents (711)
14	world countri nation communiti million war crime law live africa	15833	Armed conflicts and attacks (24)
15	european europ franc germani french german union euro commiss britain	20384	International relations (296)
16	court judg rule case trial legal justic appeal suprem law	26568	Law and crime (1152)
17	russian russia ukrain putin ukrainian moscow vladimir kremlin kyiv war	18370	Armed conflicts and attacks (1808)
18	kill injur least other bomb crash provinc shoot wound suicid	18151	Armed conflicts and attacks (5538)
19	covid case vaccin pandem record coronavirus lockdown nationwid virus infect	15531	Health and environment (3424)
20	hous properti home mortgag build buyer buy estat plan rent	16357	Politics and elections (74)
21	children famili flood child aid crisi home pakistan strike storm	1721	Disasters and accidents (123)
22	pension australia bird speci australian death insur men email oper	1421	Science and technology (28)
23	protest demonstr right activist arrest group anti student thousand polic	17922	Politics and elections (1173)
24	vaccin point pay ftse rate investor network pension rail project	184	Science and technology (1)
25	pay custom offer insur charg fee paid buy payment bill	1771	Law and crime (4)
26	london train rail transport passeng travel british mayor railway britain	20878	Arts and culture (46)
27	democrat republican case letter strike london children group dem lib	5910	Science and technology (40)
28	soldier republican fund armi troop union palestinian right senat record	1892	Arts and culture (34)
29	korea north south korean nuclear kim japan pyongyang missil jong	11102	International relations (1007)
30	injur man report found shoot committe food murder polici old	1788	Law and crime (12)
31	fire oil profit european communiti support women project europ africa	486	Politics and elections (4)
32	record nationwid past bring total crime custom hour therebi case	5356	Armed conflicts and attacks (58)
33	unit state kingdom nation depart announc feder record releas scotland	17065	International relations (1413)
34	ireland northern irish ira sinn unionist belfast ulster fein féin	12695	Politics and elections (145)
35	fire air defenc militari forc shoot shot right aircraft gun	12343	Disasters and accidents (340)
36	pension plan vaccin home age polici rate england life secretari	5180	Sports (7)
37	letter email number com figur home offic money pay claim	19896	Law and crime (22)
38	brexit deal johnson bori negoti agreement vote trade referendum theresa	13127	Politics and elections (181)
39	women men woman sexual femal sex girl male gender rape	29862	Law and crime (227)
40	death die toll famili murder record bodi life dead found	22240	Disasters and accidents (724)
41	asylum immigr refuge seeker home migrant number arriv border deport	15085	International relations (213)
42	citi mayor council local york resid street build town london	18354	Armed conflicts and attacks (207)
43	australia australian member famili group nation univers parti brexit crisi	7168	Politics and elections (154)
44	car vehicl driver road drive motor transport manufactur insur emiss	20663	Disasters and accidents (134)
45	prison sentenc charg jail trial convict arrest crime releas former	19188	Law and crime (1970)
46	share right human letter inform church issu email state prison	3628	Politics and elections (103)
47	energi gas electr power fuel nuclear carbon bill renew plant	17751	Business and economy (135)
48	attack bomb terrorist terror secur target suicid group islam threat	16416	Armed conflicts and attacks (1073)
49	develop scotland scottish parliament appl countri famili system share labour	6903	Science and technology (31)
50	presid former africa phone obama countri polit bush african presidenti	20397	Politics and elections (1759)
51	committe mps member bill parliament vote common lord legisl law	12802	Politics and elections (243)
52	water area food flood speci river farm weather anim bird	36606	Disasters and accidents (324)
53	syrian syria assad rebel turkey turkish damascus regim bashar forc	11381	Armed conflicts and attacks (2323)
54	famili royal vaccin british releas appl mother father scotland rate	10902	Arts and culture (45)
55	oil foreign offici site intern member googl user interest india	6946	International relations (186)
56	execut chief director group report board sir chairman committe polici	18089	Politics and elections (11)
57	mortgag loan lender rate borrow properti debt credit repay lend	12873	Business and economy (98)
58	secretari market york phone alleg charg brown global help world	1971	Law and crime (3)
59	announc cut plan budget follow bird down speci militari next	11160	Business and economy (184)

v1 · embedding eigenbasis

axis	terms	stories	majority section
0	kill human polic court militari anim sexual media children right	1008	Armed conflicts and attacks (107)
1	elect parti labour vote minist tori polit democrat voter poll	30421	Politics and elections (2307)
2	compani work chang need busi public good look interest money	1148
3	world compani market develop price product vote invest global energi	1605	Science and technology (27)
4	trump presid donald republican state american senat obama white democrat	31614	Politics and elections (991)
5	covid vaccin health case coronavirus virus infect pandem hospit test	24066	Health and environment (3169)
6	think thing know don seem good want look question talk	24599	International relations (2)
7	zealand children passeng rail ireland mayor injur child custom parent	6971	Disasters and accidents (559)
8	climat energi emiss gas carbon fuel global oil environment chang	30447	Disasters and accidents (127)
9	unit injur forc target game state border announc pakistan milit	8675	Armed conflicts and attacks (3278)
10	flight airlin passeng airport plane air travel aircraft crash fli	23242	Disasters and accidents (1209)
11	court judg case sentenc trial law legal justic charg rule	31042	Law and crime (2789)
12	minist prime secretari blair tori cameron mps cabinet leader foreign	19325	Politics and elections (499)
13	european europ franc french germani brexit german brussel countri union	27080	International relations (621)
14	countri state school children war live minist presid home death	1911	Armed conflicts and attacks (114)
15	china chines beij india japan countri world foreign hong kong	21873	International relations (1002)
16	market ftse south close analyst scientist down stock point fall	3518	Disasters and accidents (45)
17	share price sale investor buy sell market stock bid music	5113	Disasters and accidents (65)
18	russian russia ukrain putin ukrainian moscow vladimir war militari kremlin	23324	Armed conflicts and attacks (2839)
19	investig murder found intellig inquiri tax detect inform suspect test	6457	Law and crime (51)
20	food store retail shop supermarket sale chain consum product tesco	26367	Business and economy (122)
21	england compani rate cost consum offic market servic phone cut	4855	Disasters and accidents (105)
22	car vehicl driver road drive transport motor crash manufactur bus	22920	Disasters and accidents (892)
23	korea north korean militari south japan nuclear missil kim soldier	13584	International relations (688)
24	london citi mayor build local capit street area council park	21766	Armed conflicts and attacks (102)
25	unit servic injur nuclear station train rail earthquak energi hospit	4657	Disasters and accidents (531)
26	fire senat injur nuclear california energi republican hous hour mps	6092	Law and crime (233)
27	alleg former man accus resign record name arrest becam charg	7057	Law and crime (186)
28	user internet googl phone onlin mobil appl comput technolog microsoft	33764	Science and technology (135)
29	french franc bird speci journalist custom elect record weather deal	3805	Armed conflicts and attacks (270)
30	game world play win film player footbal sport war star	16795	Sports (243)
31	win life game old immigr sentenc pension citi live becom	9691	Sports (723)
32	democrat black rebel senat mayor brown congo kong hong chief	11401	Armed conflicts and attacks (259)
33	labour brexit corbyn footbal former leader media trial old syrian	9598	Armed conflicts and attacks (63)
34	presid site man game north build water council oper system	4047	Armed conflicts and attacks (144)
35	attack bomb terror terrorist islam warn secur threat muslim explos	17344	Armed conflicts and attacks (999)
36	record number total figur million least report case data five	22299	Armed conflicts and attacks (379)
37	brown japan california chancellor johnson japanes sex brazil iraqi sexual	7990	Disasters and accidents (405)
38	tori conserv brexit mps immigr area trump warn labour number	7832	Disasters and accidents (45)
39	fire gas hour energi morn station oil explos soldier plant	14292	Armed conflicts and attacks (399)
40	german germani letter christma email war announc secretari green charg	12658	Armed conflicts and attacks (145)
41	event climat weather muslim indonesia japan insur sea temperatur travel	7988	Disasters and accidents (230)
42	bank financi fund member former money investig loan barclay secur	9649	Armed conflicts and attacks (139)
43	resign leav down fall end loss cut suspend remov close	15960	Politics and elections (555)
44	scotland scottish japan ukrain earthquak spain island spanish zealand nuclear	13049	Disasters and accidents (646)
45	oil univers economi scientist drug world scienc european presid student	4908	Science and technology (89)
46	australia australian zealand island sea state coast sydney queensland immigr	20168	Disasters and accidents (250)
47	appl build iphon debt museum develop nuclear injur design devic	13083	Disasters and accidents (241)
48	ban public report warn film elect law media publish journalist	9797	Law and crime (196)
49	growth economi econom chang recoveri reform return tax announc quarter	13408	Politics and elections (222)
50	labour tori obama war brown white economi chancellor blair bush	10155	Armed conflicts and attacks (282)
51	technolog univers murder intellig muslim terror student shoot tax scienc	7488	Armed conflicts and attacks (161)
52	claim say statement comment deni reject ask obama interview accus	12590	Armed conflicts and attacks (133)
53	church pope cathol bishop christian archbishop vatican england religi priest	14638	Armed conflicts and attacks (300)
54	arrest charg alleg old man money plant bomb million energi	12813	Armed conflicts and attacks (1300)
55	ireland northern irish ira belfast sinn unionist north dublin ulster	18062	Armed conflicts and attacks (339)
56	british britain london england blair labour brexit secretari royal briton	16870	Arts and culture (109)
57	blair toni bomb investor market stock mail island referendum venezuela	12726	Armed conflicts and attacks (359)
58	prison sentenc jail hour secur convict space releas four night	14605	Law and crime (505)
59	refuge help asylum hospit patient aid human win share medic	12068	Armed conflicts and attacks (157)