# COMPSCI/ECE/STAT 861: Theoretical Foundations of Machine Learning | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/COMPSCI_ECE_STAT_861)

## Dataset

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

### repository

twangodev/uwcourses

### schema version

6

### importer version

7

### projection id

94468b7d4154126ca413937bb4738a6d21e0c2277f6fa397a6078ad80a32384f

### observed at

2026-09-07T15:55:43.033547+00:00

### built at

2026-09-10T23:19:01.870283+00:00

### courses

8951

### current instructors

5754

### limited

false

### terms

* 1272
* 1264
* 1262
* 1254
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### term

1272

### departments

| subject   | count |
| --------- | ----- |
| AAE       | 90    |
| ABT       | 20    |
| ACCTIS    | 36    |
| ACTSCI    | 14    |
| AFAERO    | 10    |
| AFRICAN   | 87    |
| AFROAMER  | 71    |
| AGROECOL  | 21    |
| AMERIND   | 53    |
| ANAT\&PHY | 7     |
| ANATOMY   | 2     |
| ANESTHES  | 8     |
| ANSCI     | 57    |
| ANTHRO    | 95    |
| ART       | 125   |
| ARTED     | 10    |
| ARTHIST   | 121   |
| ASIALANG  | 129   |
| ASIAN     | 109   |
| ASIANAM   | 28    |
| ASTRON    | 38    |
| ATMOCN    | 69    |
| BIOCHEM   | 51    |
| BIOCORE   | 10    |
| BIOLOGY   | 14    |
| BIOMDSCI  | 18    |
| BME       | 66    |
| BMI       | 41    |
| BMOLCHEM  | 10    |
| BOTANY    | 69    |
| BSE       | 44    |
| C\&ESOC   | 73    |
| CBE       | 48    |
| CHEM      | 101   |
| CHICLA    | 52    |
| CIVENGR   | 133   |
| CLASSICS  | 47    |
| CNP       | 10    |
| CNSRSCI   | 50    |
| COMARTS   | 137   |
| COMPBIO   | 15    |
| COMPLIT   | 11    |
| COMPSCI   | 138   |
| COUNPSY   | 78    |
| CRB       | 19    |
| CS\&D     | 71    |
| CSCS      | 40    |
| CURRIC    | 193   |
| DANCE     | 93    |
| DERM      | 8     |
| DS        | 88    |
| DYSCI     | 35    |
| ECE       | 155   |
| ECON      | 145   |
| EDPOL     | 114   |
| EDPSYCH   | 97    |
| ELPA      | 70    |
| EMA       | 53    |
| EMERMED   | 17    |
| ENGL      | 206   |
| ENTOM     | 40    |
| ENVIRST   | 148   |
| EP        | 15    |
| EPD       | 67    |
| ESL       | 16    |
| F\&WECOL  | 60    |
| FAMMED    | 22    |
| FINANCE   | 50    |
| FOLKLORE  | 40    |
| FOODSCI   | 43    |
| FRENCH    | 63    |
| GEN\&WS   | 145   |
| GENBUS    | 72    |
| GENECSLR  | 17    |
| GENETICS  | 60    |
| GEOG      | 113   |
| GEOSCI    | 83    |
| GERMAN    | 82    |
| GLE       | 48    |
| GNS       | 38    |
| GREEK     | 27    |
| HDFS      | 41    |
| HEBR-BIB  | 13    |
| HEBR-MOD  | 10    |
| HISTORY   | 233   |
| HISTSCI   | 56    |
| HONCOL    | 13    |
| ILS       | 43    |
| INFOSYS   | 9     |
| INTEGART  | 7     |
| INTEGSCI  | 22    |
| INTER-AG  | 18    |
| INTER-HE  | 11    |
| INTER-LS  | 22    |
| INTEREGR  | 16    |
| INTLBUS   | 21    |
| INTLST    | 50    |
| ISYE      | 83    |
| ITALIAN   | 53    |
| JEWISH    | 56    |
| JOURN     | 88    |
| KINES     | 128   |
| LACIS     | 26    |
| LANDARC   | 61    |
| LATIN     | 24    |
| LAW       | 120   |
| LEGALST   | 48    |
| LINGUIS   | 35    |
| LIS       | 89    |
| LITTRANS  | 78    |
| LSC       | 52    |
| M\&ENVTOX | 7     |
| MARKETNG  | 62    |
| MATH      | 153   |
| MDGENET   | 8     |
| ME        | 130   |
| MEDHIST   | 43    |
| MEDICINE  | 60    |
| MEDIEVAL  | 32    |
| MEDPHYS   | 39    |
| MEDSC-M   | 29    |
| MEDSC-V   | 41    |
| MHR       | 68    |
| MICROBIO  | 45    |
| MILSCI    | 16    |
| MM\&I     | 22    |
| MOLBIOL   | 6     |
| MS\&E     | 59    |
| MUSIC     | 165   |
| MUSPERF   | 126   |
| NAVSCI    | 20    |
| NE        | 44    |
| NEURODPT  | 11    |
| NEUROL    | 7     |
| NEURSURG  | 4     |
| NTP       | 11    |
| NURSING   | 111   |
| NUTRSCI   | 65    |
| OBS\&GYN  | 18    |
| OCCTHER   | 39    |
| ONCOLOGY  | 14    |
| OPHTHALM  | 5     |
| OTM       | 43    |
| PATH      | 34    |
| PATH-BIO  | 29    |
| PEDIAT    | 26    |
| PHARMACY  | 31    |
| PHILOS    | 77    |
| PHMCOL-M  | 11    |
| PHMPRAC   | 45    |
| PHMSCI    | 60    |
| PHYASST   | 37    |
| PHYSICS   | 88    |
| PHYSIOL   | 3     |
| PHYTHER   | 37    |
| PLANTSCI  | 52    |
| PLPATH    | 35    |
| POLISCI   | 192   |
| POPHLTH   | 58    |
| PORTUG    | 33    |
| PSYCH     | 101   |
| PSYCHIAT  | 22    |
| PUBAFFR   | 54    |
| PUBLHLTH  | 23    |
| RADIOL    | 11    |
| REALEST   | 41    |
| RELIGST   | 90    |
| RHABMED   | 9     |
| RMI       | 24    |
| RP\&SE    | 102   |
| S\&APHM   | 17    |
| SCANDST   | 73    |
| SLAVIC    | 89    |
| SOC       | 149   |
| SOCWORK   | 87    |
| SOILSCI   | 46    |
| SPANISH   | 83    |
| SRMED     | 21    |
| STAT      | 94    |
| STDYABRD  | 52    |
| STS       | 8     |
| SURGERY   | 25    |
| SURGSCI   | 33    |
| THEATRE   | 91    |
| URBRPL    | 60    |
| UROLOGY   | 5     |
| ZOOLOGY   | 89    |

## course

### run id

20260907T155543-ce3781c4

### semester

1272

### observed at

2026-09-07 15:55:43.033547+00:00

### record version id

59dfbb4c6307d863c4febb715d9fbc22181efe67318dfe39a9a44a52b68a7d94

### course id

COMPSCI/ECE/STAT 861

### course uid

course\_f84cce2e31d7170db5bc7b84

### catalog version id

49ddbae3f3676d7653b3083250307a81a7393ebaca686ca03c5322c637772ac6

### course number

861

### subjects

* COMPSCI
* ECE
* STAT

### title

THEORETICAL FOUNDATIONS OF MACHINE LEARNING

### description

Advanced mathematical theory and methods of machine learning. Statistical learning theory, Vapnik-Chevronenkis Theory, model selection, high-dimensional models, nonparametric methods, probabilistic analysis, optimization, learning paradigms.

### requirements text

E C E/​COMP SCI  761or E C E 830

### credit offering ids

None recorded.

### llm job id

enrich-8b774950c2b6adfdc46d1b82

### llm output id

b5bdcf8058facfd526596c913e9d0b5546ca1918c26eb15f03aeeca6f29a88cb

### llm model

nvidia/Qwen3.6-35B-A3B-NVFP4

### llm model revision

1355db6a052410cfd62085d94b58866fd0f2c3c5

### llm task version

14

### llm search status

valid

### llm summary

Advanced mathematical theory and methods of machine learning, covering statistical learning theory, model selection, and optimization.

### llm topics

* Statistical learning theory and Vapnik-Chevronenkis Theory
* High-dimensional models and nonparametric methods

### llm skills

* Statistical learning theory and model selection
* Probabilistic analysis and optimization

### llm assumed background

* Probability and linear algebra
* Mathematical foundations of machine learning

### llm search phrases

* theoretical machine learning
* statistical learning theory
* VC theory
* high-dimensional models
* optimization methods

### llm requirements status

needs\_review

### llm student summary status

valid

### llm experience status

insufficient\_evidence

### catalog variants

None recorded.

### student summary

#### context hash

96f72d8c6f2f964be7d2458677b79b1f1863b8fb843c122c85e0e0210dae3b7a

#### course id

COMPSCI/ECE/STAT 861

#### current instructors

None recorded.

#### difficulty workload

None recorded.

#### errors

None recorded.

#### historical context

None recorded.

#### message

No course-specific reviews available

#### offered

false

#### profile hash

5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02

#### quick take

Recent recorded grades — Fall 2023: 3.86 GPA, 100.0% A/AB (n=22 letter grades); Fall 2024: 3.86 GPA, 95.2% A/AB (n=21 letter grades); Fall 2025: 3.69 GPA, 83.3% A/AB (n=24 letter grades).

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```

#### student experience

None recorded.

#### task hash

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#### teaching history

None recorded.

#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

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```

#### notes

* ECE 830 is mentioned in requirements but not found in linked\_courses or course lookup; treated as a verbatim condition requiring review.

#### root

n0

#### status

needs\_review

### instructors

None recorded.

### offerings

None recorded.

### sections

None recorded.

### grade instructors

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### grades

```json
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]
```

### statistics

#### gpa

3.791

#### graded

182

#### counts

* 122
* 48
* 11
* 0
* 0
* 1
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_f84cce2e31d7170db5bc7b84-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_f84cce2e31d7170db5bc7b84-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_f84cce2e31d7170db5bc7b84-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_f84cce2e31d7170db5bc7b84-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_f84cce2e31d7170db5bc7b84-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_f84cce2e31d7170db5bc7b84-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.791208791208791

#### count

182

#### university

##### size

3769

##### gpa Percentile

58

##### count Percentile

64

##### median Count

117

##### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 11    | false   |
| 2.8–3.2 | 277   | false   |
| 3.2–3.6 | 996   | false   |
| 3.6–4.0 | 2485  | true    |

#### departments

```json
[
  {
    "subject": "COMPSCI",
    "comparison": {
      "size": 96,
      "gpaPercentile": 62,
      "countPercentile": 44,
      "medianCount": 237.5,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 13,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 33,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 50,
          "current": true
        }
      ]
    }
  },
  {
    "subject": "ECE",
    "comparison": {
      "size": 94,
      "gpaPercentile": 73,
      "countPercentile": 54,
      "medianCount": 169,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 5,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 38,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 51,
          "current": true
        }
      ]
    }
  },
  {
    "subject": "STAT",
    "comparison": {
      "size": 60,
      "gpaPercentile": 76,
      "countPercentile": 46,
      "medianCount": 221,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 7,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 25,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 28,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1184

##### term

1184

##### gpa

3.64

##### count

25

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ECE     |            |
| STAT    |            |

#### 1194

##### term

1194

##### gpa

3.875

##### count

28

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ECE     |            |
| STAT    |            |

#### 1212

##### term

1212

##### gpa

3.75

##### count

22

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ECE     |            |
| STAT    |            |

#### 1222

##### term

1222

##### gpa

3.7962962962962963

##### count

27

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ECE     |            |
| STAT    |            |

#### 1232

##### term

1232

##### gpa

3.923076923076923

##### count

13

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ECE     |            |
| STAT    |            |

#### 1242

##### term

1242

##### gpa

3.8636363636363638

##### count

22

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ECE     |            |
| STAT    |            |

#### 1252

##### term

1252

##### gpa

3.857142857142857

##### count

21

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ECE     |            |
| STAT    |            |

#### 1262

##### term

1262

##### gpa

3.6875

##### count

24

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ECE     |            |
| STAT    |            |

### benchmarks

#### all

##### school

###### size

3769

###### gpa

3.671669249858107

###### top Share

82.66891359967613

###### count

117

##### COMPSCI

###### size

96

###### gpa

3.5864847177512718

###### top Share

78.47269553355137

###### count

237.5

##### ECE

###### size

94

###### gpa

3.60721112151844

###### top Share

78.84634556765113

###### count

169

##### STAT

###### size

60

###### gpa

3.556594432952794

###### top Share

76.19170015556463

###### count

221

#### terms

##### 1184

###### school

###### size

1010

###### gpa

3.47925290354517

###### top Share

70.86270937115944

###### count

68

###### COMPSCI

###### size

31

###### gpa

3.329310414227759

###### top Share

61.243618316797935

###### count

126

###### ECE

###### size

34

###### gpa

3.4797837203421706

###### top Share

70.14653057475711

###### count

84.5

###### STAT

###### size

25

###### gpa

3.460210558661105

###### top Share

70.42953406269322

###### count

70

##### 1194

###### school

###### size

1040

###### gpa

3.4906527436719808

###### top Share

71.74728845515045

###### count

67

###### COMPSCI

###### size

38

###### gpa

3.3433846242383978

###### top Share

63.409438479169644

###### count

92

###### ECE

###### size

36

###### gpa

3.5139370942069434

###### top Share

73.58293880609176

###### count

77

###### STAT

###### size

23

###### gpa

3.3818127863152334

###### top Share

66.9295898310719

###### count

79

##### 1212

###### school

###### size

1111

###### gpa

3.5856416028074487

###### top Share

77.58926748660845

###### count

68

###### COMPSCI

###### size

42

###### gpa

3.450396020252364

###### top Share

69.90950224603134

###### count

96

###### ECE

###### size

41

###### gpa

3.5390420098740205

###### top Share

74.4144228117487

###### count

66

###### STAT

###### size

25

###### gpa

3.4555542540486095

###### top Share

69.54152339778892

###### count

100

##### 1222

###### school

###### size

1157

###### gpa

3.563052311875811

###### top Share

76.64869058732418

###### count

64

###### COMPSCI

###### size

46

###### gpa

3.4266761668874532

###### top Share

68.93117403010548

###### count

94.5

###### ECE

###### size

41

###### gpa

3.502469130958549

###### top Share

72.06914460291064

###### count

70

###### STAT

###### size

32

###### gpa

3.4861059411832307

###### top Share

71.46520654148341

###### count

55.5

##### 1232

###### school

###### size

1216

###### gpa

3.575457431972425

###### top Share

77.33712216234007

###### count

66

###### COMPSCI

###### size

50

###### gpa

3.522872390836507

###### top Share

74.11555010870671

###### count

82.5

###### ECE

###### size

44

###### gpa

3.4583903966894223

###### top Share

70.01102622146537

###### count

70

###### STAT

###### size

32

###### gpa

3.4024781451477413

###### top Share

66.63145704464162

###### count

60.5

##### 1242

###### school

###### size

1295

###### gpa

3.595302892737449

###### top Share

78.36291889885307

###### count

67

###### COMPSCI

###### size

52

###### gpa

3.5206188715369935

###### top Share

74.2043106737207

###### count

99

###### ECE

###### size

41

###### gpa

3.4916867437115484

###### top Share

71.95296745580877

###### count

83

###### STAT

###### size

34

###### gpa

3.4558758327213903

###### top Share

69.10154863162224

###### count

55

##### 1252

###### school

###### size

1333

###### gpa

3.619494049739118

###### top Share

79.71442190500672

###### count

69

###### COMPSCI

###### size

54

###### gpa

3.5244021201456657

###### top Share

75.07938169795783

###### count

101

###### ECE

###### size

44

###### gpa

3.5595929340853747

###### top Share

76.26079811550397

###### count

74

###### STAT

###### size

32

###### gpa

3.423918594183889

###### top Share

68.17668754351217

###### count

70.5

##### 1262

###### school

###### size

1320

###### gpa

3.628825763035853

###### top Share

80.21118846327654

###### count

70

###### COMPSCI

###### size

53

###### gpa

3.533845597774486

###### top Share

75.31824598445624

###### count

82

###### ECE

###### size

41

###### gpa

3.5162416044524014

###### top Share

73.72561877957347

###### count

82

###### STAT

###### size

29

###### gpa

3.415022952129974

###### top Share

64.95385808199006

###### count

81

## instructor Trends

```json
[
  {
    "uid": "instructor_74e71544cb072def38511b27",
    "name": "XIAOJIN ZHU",
    "count": 115,
    "terms": [
      {
        "term": "1184",
        "count": 25,
        "sections": 1,
        "gpa": 3.64
      },
      {
        "term": "1194",
        "count": 28,
        "sections": 1,
        "gpa": 3.875
      },
      {
        "term": "1212",
        "count": 22,
        "sections": 1,
        "gpa": 3.75
      },
      {
        "term": "1222",
        "count": 27,
        "sections": 1,
        "gpa": 3.7962962962962963
      },
      {
        "term": "1232",
        "count": 13,
        "sections": 1,
        "gpa": 3.923076923076923
      }
    ]
  },
  {
    "uid": "instructor_a4ce967ca0fbb6d158a19e76",
    "name": "KIRTHEVASAN KANDASAMY",
    "count": 67,
    "terms": [
      {
        "term": "1242",
        "count": 22,
        "sections": 1,
        "gpa": 3.8636363636363638
      },
      {
        "term": "1252",
        "count": 21,
        "sections": 1,
        "gpa": 3.857142857142857
      },
      {
        "term": "1262",
        "count": 24,
        "sections": 1,
        "gpa": 3.6875
      }
    ]
  }
]
```

## following

None recorded.
