Initial NanoMath-R release
Browse files- .gitattributes +1 -34
- LICENSE +201 -0
- README.md +161 -0
- benchmark_results.json +34 -0
- checksums.sha256 +8 -0
- model_config.json +19 -0
- model_weights.pth +3 -0
- token.model +3 -0
- training_summary.json +14 -0
.gitattributes
CHANGED
|
@@ -1,35 +1,2 @@
|
|
| 1 |
-
*.7z filter=lfs diff=lfs merge=lfs -text
|
| 2 |
-
*.arrow filter=lfs diff=lfs merge=lfs -text
|
| 3 |
-
*.bin filter=lfs diff=lfs merge=lfs -text
|
| 4 |
-
*.bz2 filter=lfs diff=lfs merge=lfs -text
|
| 5 |
-
*.ckpt filter=lfs diff=lfs merge=lfs -text
|
| 6 |
-
*.ftz filter=lfs diff=lfs merge=lfs -text
|
| 7 |
-
*.gz filter=lfs diff=lfs merge=lfs -text
|
| 8 |
-
*.h5 filter=lfs diff=lfs merge=lfs -text
|
| 9 |
-
*.joblib filter=lfs diff=lfs merge=lfs -text
|
| 10 |
-
*.lfs.* filter=lfs diff=lfs merge=lfs -text
|
| 11 |
-
*.mlmodel filter=lfs diff=lfs merge=lfs -text
|
| 12 |
-
*.model filter=lfs diff=lfs merge=lfs -text
|
| 13 |
-
*.msgpack filter=lfs diff=lfs merge=lfs -text
|
| 14 |
-
*.npy filter=lfs diff=lfs merge=lfs -text
|
| 15 |
-
*.npz filter=lfs diff=lfs merge=lfs -text
|
| 16 |
-
*.onnx filter=lfs diff=lfs merge=lfs -text
|
| 17 |
-
*.ot filter=lfs diff=lfs merge=lfs -text
|
| 18 |
-
*.parquet filter=lfs diff=lfs merge=lfs -text
|
| 19 |
-
*.pb filter=lfs diff=lfs merge=lfs -text
|
| 20 |
-
*.pickle filter=lfs diff=lfs merge=lfs -text
|
| 21 |
-
*.pkl filter=lfs diff=lfs merge=lfs -text
|
| 22 |
-
*.pt filter=lfs diff=lfs merge=lfs -text
|
| 23 |
*.pth filter=lfs diff=lfs merge=lfs -text
|
| 24 |
-
*.
|
| 25 |
-
*.safetensors filter=lfs diff=lfs merge=lfs -text
|
| 26 |
-
saved_model/**/* filter=lfs diff=lfs merge=lfs -text
|
| 27 |
-
*.tar.* filter=lfs diff=lfs merge=lfs -text
|
| 28 |
-
*.tar filter=lfs diff=lfs merge=lfs -text
|
| 29 |
-
*.tflite filter=lfs diff=lfs merge=lfs -text
|
| 30 |
-
*.tgz filter=lfs diff=lfs merge=lfs -text
|
| 31 |
-
*.wasm filter=lfs diff=lfs merge=lfs -text
|
| 32 |
-
*.xz filter=lfs diff=lfs merge=lfs -text
|
| 33 |
-
*.zip filter=lfs diff=lfs merge=lfs -text
|
| 34 |
-
*.zst filter=lfs diff=lfs merge=lfs -text
|
| 35 |
-
*tfevents* filter=lfs diff=lfs merge=lfs -text
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
*.pth filter=lfs diff=lfs merge=lfs -text
|
| 2 |
+
*.model filter=lfs diff=lfs merge=lfs -text
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
LICENSE
ADDED
|
@@ -0,0 +1,201 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
Apache License
|
| 2 |
+
Version 2.0, January 2004
|
| 3 |
+
http://www.apache.org/licenses/
|
| 4 |
+
|
| 5 |
+
TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
|
| 6 |
+
|
| 7 |
+
1. Definitions.
|
| 8 |
+
|
| 9 |
+
"License" shall mean the terms and conditions for use, reproduction,
|
| 10 |
+
and distribution as defined by Sections 1 through 9 of this document.
|
| 11 |
+
|
| 12 |
+
"Licensor" shall mean the copyright owner or entity authorized by
|
| 13 |
+
the copyright owner that is granting the License.
|
| 14 |
+
|
| 15 |
+
"Legal Entity" shall mean the union of the acting entity and all
|
| 16 |
+
other entities that control, are controlled by, or are under common
|
| 17 |
+
control with that entity. For the purposes of this definition,
|
| 18 |
+
"control" means (i) the power, direct or indirect, to cause the
|
| 19 |
+
direction or management of such entity, whether by contract or
|
| 20 |
+
otherwise, or (ii) ownership of fifty percent (50%) or more of the
|
| 21 |
+
outstanding shares, or (iii) beneficial ownership of such entity.
|
| 22 |
+
|
| 23 |
+
"You" (or "Your") shall mean an individual or Legal Entity
|
| 24 |
+
exercising permissions granted by this License.
|
| 25 |
+
|
| 26 |
+
"Source" form shall mean the preferred form for making modifications,
|
| 27 |
+
including but not limited to software source code, documentation
|
| 28 |
+
source, and configuration files.
|
| 29 |
+
|
| 30 |
+
"Object" form shall mean any form resulting from mechanical
|
| 31 |
+
transformation or translation of a Source form, including but
|
| 32 |
+
not limited to compiled object code, generated documentation,
|
| 33 |
+
and conversions to other media types.
|
| 34 |
+
|
| 35 |
+
"Work" shall mean the work of authorship, whether in Source or
|
| 36 |
+
Object form, made available under the License, as indicated by a
|
| 37 |
+
copyright notice that is included in or attached to the work
|
| 38 |
+
(an example is provided in the Appendix below).
|
| 39 |
+
|
| 40 |
+
"Derivative Works" shall mean any work, whether in Source or Object
|
| 41 |
+
form, that is based on (or derived from) the Work and for which the
|
| 42 |
+
editorial revisions, annotations, elaborations, or other modifications
|
| 43 |
+
represent, as a whole, an original work of authorship. For the purposes
|
| 44 |
+
of this License, Derivative Works shall not include works that remain
|
| 45 |
+
separable from, or merely link (or bind by name) to the interfaces of,
|
| 46 |
+
the Work and Derivative Works thereof.
|
| 47 |
+
|
| 48 |
+
"Contribution" shall mean any work of authorship, including
|
| 49 |
+
the original version of the Work and any modifications or additions
|
| 50 |
+
to that Work or Derivative Works thereof, that is intentionally
|
| 51 |
+
submitted to Licensor for inclusion in the Work by the copyright owner
|
| 52 |
+
or by an individual or Legal Entity authorized to submit on behalf of
|
| 53 |
+
the copyright owner. For the purposes of this definition, "submitted"
|
| 54 |
+
means any form of electronic, verbal, or written communication sent
|
| 55 |
+
to the Licensor or its representatives, including but not limited to
|
| 56 |
+
communication on electronic mailing lists, source code control systems,
|
| 57 |
+
and issue tracking systems that are managed by, or on behalf of, the
|
| 58 |
+
Licensor for the purpose of discussing and improving the Work, but
|
| 59 |
+
excluding communication that is conspicuously marked or otherwise
|
| 60 |
+
designated in writing by the copyright owner as "Not a Contribution."
|
| 61 |
+
|
| 62 |
+
"Contributor" shall mean Licensor and any individual or Legal Entity
|
| 63 |
+
on behalf of whom a Contribution has been received by Licensor and
|
| 64 |
+
subsequently incorporated within the Work.
|
| 65 |
+
|
| 66 |
+
2. Grant of Copyright License. Subject to the terms and conditions of
|
| 67 |
+
this License, each Contributor hereby grants to You a perpetual,
|
| 68 |
+
worldwide, non-exclusive, no-charge, royalty-free, irrevocable
|
| 69 |
+
copyright license to reproduce, prepare Derivative Works of,
|
| 70 |
+
publicly display, publicly perform, sublicense, and distribute the
|
| 71 |
+
Work and such Derivative Works in Source or Object form.
|
| 72 |
+
|
| 73 |
+
3. Grant of Patent License. Subject to the terms and conditions of
|
| 74 |
+
this License, each Contributor hereby grants to You a perpetual,
|
| 75 |
+
worldwide, non-exclusive, no-charge, royalty-free, irrevocable
|
| 76 |
+
(except as stated in this section) patent license to make, have made,
|
| 77 |
+
use, offer to sell, sell, import, and otherwise transfer the Work,
|
| 78 |
+
where such license applies only to those patent claims licensable
|
| 79 |
+
by such Contributor that are necessarily infringed by their
|
| 80 |
+
Contribution(s) alone or by combination of their Contribution(s)
|
| 81 |
+
with the Work to which such Contribution(s) was submitted. If You
|
| 82 |
+
institute patent litigation against any entity (including a
|
| 83 |
+
cross-claim or counterclaim in a lawsuit) alleging that the Work
|
| 84 |
+
or a Contribution incorporated within the Work constitutes direct
|
| 85 |
+
or contributory patent infringement, then any patent licenses
|
| 86 |
+
granted to You under this License for that Work shall terminate
|
| 87 |
+
as of the date such litigation is filed.
|
| 88 |
+
|
| 89 |
+
4. Redistribution. You may reproduce and distribute copies of the
|
| 90 |
+
Work or Derivative Works thereof in any medium, with or without
|
| 91 |
+
modifications, and in Source or Object form, provided that You
|
| 92 |
+
meet the following conditions:
|
| 93 |
+
|
| 94 |
+
(a) You must give any other recipients of the Work or
|
| 95 |
+
Derivative Works a copy of this License; and
|
| 96 |
+
|
| 97 |
+
(b) You must cause any modified files to carry prominent notices
|
| 98 |
+
stating that You changed the files; and
|
| 99 |
+
|
| 100 |
+
(c) You must retain, in the Source form of any Derivative Works
|
| 101 |
+
that You distribute, all copyright, patent, trademark, and
|
| 102 |
+
attribution notices from the Source form of the Work,
|
| 103 |
+
excluding those notices that do not pertain to any part of
|
| 104 |
+
the Derivative Works; and
|
| 105 |
+
|
| 106 |
+
(d) If the Work includes a "NOTICE" text file as part of its
|
| 107 |
+
distribution, then any Derivative Works that You distribute must
|
| 108 |
+
include a readable copy of the attribution notices contained
|
| 109 |
+
within such NOTICE file, excluding those notices that do not
|
| 110 |
+
pertain to any part of the Derivative Works, in at least one
|
| 111 |
+
of the following places: within a NOTICE text file distributed
|
| 112 |
+
as part of the Derivative Works; within the Source form or
|
| 113 |
+
documentation, if provided along with the Derivative Works; or,
|
| 114 |
+
within a display generated by the Derivative Works, if and
|
| 115 |
+
wherever such third-party notices normally appear. The contents
|
| 116 |
+
of the NOTICE file are for informational purposes only and
|
| 117 |
+
do not modify the License. You may add Your own attribution
|
| 118 |
+
notices within Derivative Works that You distribute, alongside
|
| 119 |
+
or as an addendum to the NOTICE text from the Work, provided
|
| 120 |
+
that such additional attribution notices cannot be construed
|
| 121 |
+
as modifying the License.
|
| 122 |
+
|
| 123 |
+
You may add Your own copyright statement to Your modifications and
|
| 124 |
+
may provide additional or different license terms and conditions
|
| 125 |
+
for use, reproduction, or distribution of Your modifications, or
|
| 126 |
+
for any such Derivative Works as a whole, provided Your use,
|
| 127 |
+
reproduction, and distribution of the Work otherwise complies with
|
| 128 |
+
the conditions stated in this License.
|
| 129 |
+
|
| 130 |
+
5. Submission of Contributions. Unless You explicitly state otherwise,
|
| 131 |
+
any Contribution intentionally submitted for inclusion in the Work
|
| 132 |
+
by You to the Licensor shall be under the terms and conditions of
|
| 133 |
+
this License, without any additional terms or conditions.
|
| 134 |
+
Notwithstanding the above, nothing herein shall supersede or modify
|
| 135 |
+
the terms of any separate license agreement you may have executed
|
| 136 |
+
with Licensor regarding such Contributions.
|
| 137 |
+
|
| 138 |
+
6. Trademarks. This License does not grant permission to use the trade
|
| 139 |
+
names, trademarks, service marks, or product names of the Licensor,
|
| 140 |
+
except as required for reasonable and customary use in describing the
|
| 141 |
+
origin of the Work and reproducing the content of the NOTICE file.
|
| 142 |
+
|
| 143 |
+
7. Disclaimer of Warranty. Unless required by applicable law or
|
| 144 |
+
agreed to in writing, Licensor provides the Work (and each
|
| 145 |
+
Contributor provides its Contributions) on an "AS IS" BASIS,
|
| 146 |
+
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
|
| 147 |
+
implied, including, without limitation, any warranties or conditions
|
| 148 |
+
of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
|
| 149 |
+
PARTICULAR PURPOSE. You are solely responsible for determining the
|
| 150 |
+
appropriateness of using or redistributing the Work and assume any
|
| 151 |
+
risks associated with Your exercise of permissions under this License.
|
| 152 |
+
|
| 153 |
+
8. Limitation of Liability. In no event and under no legal theory,
|
| 154 |
+
whether in tort (including negligence), contract, or otherwise,
|
| 155 |
+
unless required by applicable law (such as deliberate and grossly
|
| 156 |
+
negligent acts) or agreed to in writing, shall any Contributor be
|
| 157 |
+
liable to You for damages, including any direct, indirect, special,
|
| 158 |
+
incidental, or consequential damages of any character arising as a
|
| 159 |
+
result of this License or out of the use or inability to use the
|
| 160 |
+
Work (including but not limited to damages for loss of goodwill,
|
| 161 |
+
work stoppage, computer failure or malfunction, or any and all
|
| 162 |
+
other commercial damages or losses), even if such Contributor
|
| 163 |
+
has been advised of the possibility of such damages.
|
| 164 |
+
|
| 165 |
+
9. Accepting Warranty or Additional Liability. While redistributing
|
| 166 |
+
the Work or Derivative Works thereof, You may choose to offer,
|
| 167 |
+
and charge a fee for, acceptance of support, warranty, indemnity,
|
| 168 |
+
or other liability obligations and/or rights consistent with this
|
| 169 |
+
License. However, in accepting such obligations, You may act only
|
| 170 |
+
on Your own behalf and on Your sole responsibility, not on behalf
|
| 171 |
+
of any other Contributor, and only if You agree to indemnify,
|
| 172 |
+
defend, and hold each Contributor harmless for any liability
|
| 173 |
+
incurred by, or claims asserted against, such Contributor by reason
|
| 174 |
+
of your accepting any such warranty or additional liability.
|
| 175 |
+
|
| 176 |
+
END OF TERMS AND CONDITIONS
|
| 177 |
+
|
| 178 |
+
APPENDIX: How to apply the Apache License to your work.
|
| 179 |
+
|
| 180 |
+
To apply the Apache License to your work, attach the following
|
| 181 |
+
boilerplate notice, with the fields enclosed by brackets "[]"
|
| 182 |
+
replaced with your own identifying information. (Don't include
|
| 183 |
+
the brackets!) The text should be enclosed in the appropriate
|
| 184 |
+
comment syntax for the file format. We also recommend that a
|
| 185 |
+
file or class name and description of purpose be included on the
|
| 186 |
+
same "printed page" as the copyright notice for easier
|
| 187 |
+
identification within third-party archives.
|
| 188 |
+
|
| 189 |
+
Copyright [yyyy] [name of copyright owner]
|
| 190 |
+
|
| 191 |
+
Licensed under the Apache License, Version 2.0 (the "License");
|
| 192 |
+
you may not use this file except in compliance with the License.
|
| 193 |
+
You may obtain a copy of the License at
|
| 194 |
+
|
| 195 |
+
http://www.apache.org/licenses/LICENSE-2.0
|
| 196 |
+
|
| 197 |
+
Unless required by applicable law or agreed to in writing, software
|
| 198 |
+
distributed under the License is distributed on an "AS IS" BASIS,
|
| 199 |
+
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
| 200 |
+
See the License for the specific language governing permissions and
|
| 201 |
+
limitations under the License.
|
README.md
ADDED
|
@@ -0,0 +1,161 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
---
|
| 2 |
+
license: apache-2.0
|
| 3 |
+
language:
|
| 4 |
+
- en
|
| 5 |
+
library_name: pytorch
|
| 6 |
+
pipeline_tag: text-generation
|
| 7 |
+
tags:
|
| 8 |
+
- mathematics
|
| 9 |
+
- recurrent-transformer
|
| 10 |
+
- custom-code
|
| 11 |
+
- sentencepiece
|
| 12 |
+
datasets:
|
| 13 |
+
- openai/gsm8k
|
| 14 |
+
- AI-MO/NuminaMath-1.5
|
| 15 |
+
- EleutherAI/asdiv
|
| 16 |
+
---
|
| 17 |
+
|
| 18 |
+
# NanoMath-R
|
| 19 |
+
|
| 20 |
+
NanoMath-R is a math model with 103.83 million parameters, written from scratch
|
| 21 |
+
in PyTorch. It has 16 stored Transformer decoder blocks and applies the same stack
|
| 22 |
+
twice, giving 32 block applications per token without storing a second stack of
|
| 23 |
+
weights.
|
| 24 |
+
|
| 25 |
+
The release is intended for research on small models and direct integer arithmetic. It
|
| 26 |
+
is not a general assistant and it is not a dependable solver for word problems,
|
| 27 |
+
fractions, algebra, proofs, or calculations where an error could cause harm.
|
| 28 |
+
|
| 29 |
+
## Model details
|
| 30 |
+
|
| 31 |
+
| Setting | Value |
|
| 32 |
+
|---|---:|
|
| 33 |
+
| Stored parameters | 103,834,368 |
|
| 34 |
+
| Physical decoder blocks | 16 |
|
| 35 |
+
| Recurrent passes | 2 |
|
| 36 |
+
| Unrolled depth | 32 |
|
| 37 |
+
| Width | 768 |
|
| 38 |
+
| Query heads | 12 |
|
| 39 |
+
| Key and value heads | 4 |
|
| 40 |
+
| Context length | 1,024 tokens |
|
| 41 |
+
| Vocabulary | 4,096 SentencePiece tokens |
|
| 42 |
+
| Position encoding | RoPE |
|
| 43 |
+
| Normalization | RMSNorm |
|
| 44 |
+
| MLP | SwiGLU |
|
| 45 |
+
|
| 46 |
+
The model uses grouped query attention and tied input and output embeddings.
|
| 47 |
+
Its projections have no bias, and its residual projections were initialized to
|
| 48 |
+
zero at the start of training.
|
| 49 |
+
|
| 50 |
+
## Files
|
| 51 |
+
|
| 52 |
+
- `model_weights.pth` contains the weights, model configuration, and training
|
| 53 |
+
metadata.
|
| 54 |
+
- `token.model` is the matching SentencePiece tokenizer.
|
| 55 |
+
- `model_config.json` and `training_summary.json` expose the main checkpoint
|
| 56 |
+
metadata without loading PyTorch.
|
| 57 |
+
- `benchmark_results.json` records the release checks.
|
| 58 |
+
- `checksums.sha256` covers every published model file.
|
| 59 |
+
- `LICENSE` contains the Apache License 2.0 terms.
|
| 60 |
+
|
| 61 |
+
This checkpoint is incompatible with the NanoMath v1.0, v1.1, V2, and V3
|
| 62 |
+
tokenizers.
|
| 63 |
+
|
| 64 |
+
## Run it
|
| 65 |
+
|
| 66 |
+
The checkpoint uses the custom classes in the
|
| 67 |
+
[NanoMath-R source repository](https://github.com/agmada-asa/NanoMath-R). It
|
| 68 |
+
does not load through `AutoModelForCausalLM` or the standard Transformers text
|
| 69 |
+
generation pipeline.
|
| 70 |
+
|
| 71 |
+
```bash
|
| 72 |
+
git clone https://github.com/agmada-asa/NanoMath-R.git
|
| 73 |
+
cd NanoMath-R
|
| 74 |
+
python3 -m venv .venv
|
| 75 |
+
source .venv/bin/activate
|
| 76 |
+
pip install -r requirements.txt
|
| 77 |
+
hf download agmadaasa/NanoMath-R model_weights.pth token.model --local-dir build
|
| 78 |
+
python3 scripts/chat.py "What is 84 / 7?"
|
| 79 |
+
```
|
| 80 |
+
|
| 81 |
+
The prompt format is:
|
| 82 |
+
|
| 83 |
+
```text
|
| 84 |
+
<|user|> What is 84 / 7? <|end|>
|
| 85 |
+
<|assistant|>
|
| 86 |
+
```
|
| 87 |
+
|
| 88 |
+
Greedy decoding is the default. The model normally emits a reasoning span,
|
| 89 |
+
then `<|answer|>`, a numeric answer, and `<|end|>`.
|
| 90 |
+
|
| 91 |
+
## Evaluation
|
| 92 |
+
|
| 93 |
+
Fresh release checks used greedy decoding, two recurrent passes, a KV cache,
|
| 94 |
+
FP16 on Apple MPS, and at most 384 new tokens.
|
| 95 |
+
|
| 96 |
+
| Evaluation | Examples | Macro exact match | Micro exact match | Malformed |
|
| 97 |
+
|---|---:|---:|---:|---:|
|
| 98 |
+
| Synthetic math reserved for evaluation | 50 | 63.27% | 66.00% | 2.00% |
|
| 99 |
+
| SVAMP | 40 | 22.50% | 22.50% | 0.00% |
|
| 100 |
+
| NanoMath v1.1 continuity prompts | 6 | 50.00% | 50.00% | 0.00% |
|
| 101 |
+
|
| 102 |
+
The clearest strength is direct integer arithmetic. On the synthetic sample it
|
| 103 |
+
scored 8/8 addition, 8/8 subtraction, 7/7 multiplication, and 7/7 exact
|
| 104 |
+
division. The same sample scored 2/7 linear equations, 1/7 word problems, and
|
| 105 |
+
0/6 fraction questions. These samples are small. They describe observed
|
| 106 |
+
behavior, not a guarantee.
|
| 107 |
+
|
| 108 |
+
## Training
|
| 109 |
+
|
| 110 |
+
The packed training stream contains 233,896,960 token positions and 1,066,609
|
| 111 |
+
accepted documents after length filtering. Its source counts are:
|
| 112 |
+
|
| 113 |
+
| Source | Documents |
|
| 114 |
+
|---|---:|
|
| 115 |
+
| Verified structural arithmetic | 750,000 |
|
| 116 |
+
| NuminaMath | 190,209 |
|
| 117 |
+
| Generated language curriculum | 117,487 |
|
| 118 |
+
| GSM8K | 7,404 |
|
| 119 |
+
| ASDiv | 1,509 |
|
| 120 |
+
|
| 121 |
+
The run completed 6,000 optimizer steps and processed 393,216,000 token
|
| 122 |
+
positions, about 1.68 passes through the packed corpus. It used two NVIDIA T4
|
| 123 |
+
GPUs, FP16, sequences of 1,024 tokens, attention isolated between documents,
|
| 124 |
+
loss weights based on message role, and activation checkpointing. Training
|
| 125 |
+
took 41,623.7 wall seconds, or 23.12 hours of accelerator use. The checkpoint
|
| 126 |
+
records validation loss 0.129966.
|
| 127 |
+
|
| 128 |
+
Prompt tokens had weight 0, reasoning tokens weight 1, and answer tokens weight
|
| 129 |
+
3. Every packed document reset its positions and could not attend to another
|
| 130 |
+
document in the same block.
|
| 131 |
+
|
| 132 |
+
## Limits and intended use
|
| 133 |
+
|
| 134 |
+
Good uses include studying recurrent depth, reproducing the reported
|
| 135 |
+
experiments on small models, and testing direct arithmetic prompts with independent
|
| 136 |
+
verification.
|
| 137 |
+
|
| 138 |
+
NanoMath-R is not reliable for financial, medical, engineering, or other
|
| 139 |
+
calculations where an error could cause harm. It can produce fluent reasoning
|
| 140 |
+
with the wrong final number. Training primarily used English, the context
|
| 141 |
+
window is 1,024 tokens, and the release represents one training seed. The model
|
| 142 |
+
has not received a broad safety or bias evaluation. It is also outside its
|
| 143 |
+
intended scope for coding, factual retrieval, unrestricted chat,
|
| 144 |
+
formal proof, and advanced mathematics.
|
| 145 |
+
|
| 146 |
+
The source datasets retain their own licenses and terms. Users should review
|
| 147 |
+
those terms before redistributing derived artifacts.
|
| 148 |
+
|
| 149 |
+
## Integrity
|
| 150 |
+
|
| 151 |
+
Checkpoint SHA-256:
|
| 152 |
+
|
| 153 |
+
```text
|
| 154 |
+
6d251ab0c7595023006f7975b05436676311c18f17c8df608dc44a3e24f937b2
|
| 155 |
+
```
|
| 156 |
+
|
| 157 |
+
Tokenizer SHA-256:
|
| 158 |
+
|
| 159 |
+
```text
|
| 160 |
+
195e6efabd0a9dc238f04c83807d4e2cb79bd0270866773ad0b71a44c3794ba1
|
| 161 |
+
```
|
benchmark_results.json
ADDED
|
@@ -0,0 +1,34 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"checkpoint_sha256": "6d251ab0c7595023006f7975b05436676311c18f17c8df608dc44a3e24f937b2",
|
| 3 |
+
"configuration": {
|
| 4 |
+
"decoding": "greedy",
|
| 5 |
+
"device": "mps",
|
| 6 |
+
"dtype": "float16",
|
| 7 |
+
"max_new_tokens": 384,
|
| 8 |
+
"recurrent_steps": 2,
|
| 9 |
+
"use_kv_cache": true
|
| 10 |
+
},
|
| 11 |
+
"results": {
|
| 12 |
+
"synthetic_heldout_50": {
|
| 13 |
+
"examples": 50,
|
| 14 |
+
"macro_exact_match": 0.6326530612244898,
|
| 15 |
+
"micro_exact_match": 0.66,
|
| 16 |
+
"malformed_rate": 0.02,
|
| 17 |
+
"sample_seed": 2026
|
| 18 |
+
},
|
| 19 |
+
"svamp_40": {
|
| 20 |
+
"examples": 40,
|
| 21 |
+
"macro_exact_match": 0.225,
|
| 22 |
+
"micro_exact_match": 0.225,
|
| 23 |
+
"malformed_rate": 0.0,
|
| 24 |
+
"sample_seed": 2026
|
| 25 |
+
},
|
| 26 |
+
"v1_1_spotcheck": {
|
| 27 |
+
"examples": 6,
|
| 28 |
+
"macro_exact_match": 0.5,
|
| 29 |
+
"micro_exact_match": 0.5,
|
| 30 |
+
"malformed_rate": 0.0
|
| 31 |
+
}
|
| 32 |
+
},
|
| 33 |
+
"tokenizer_sha256": "195e6efabd0a9dc238f04c83807d4e2cb79bd0270866773ad0b71a44c3794ba1"
|
| 34 |
+
}
|
checksums.sha256
ADDED
|
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
3ef871b57485277e59624459be46c7bcb79db58b191fa4433380e7949bf823f8 .gitattributes
|
| 2 |
+
c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4 LICENSE
|
| 3 |
+
9ae2b40a55d8363687245aa5d21f1a2610cac1f27a80de16d55d2c2a2aebb93d README.md
|
| 4 |
+
81f60c9c756c7b54f1bff6fc536be5985f2e37f62ed11000cb3b3df1b74f8c1d benchmark_results.json
|
| 5 |
+
a9e3ba137dcdbc420b60ea7c04ddea58de5370818ce7861c2a48bf7c6854c58f model_config.json
|
| 6 |
+
6d251ab0c7595023006f7975b05436676311c18f17c8df608dc44a3e24f937b2 model_weights.pth
|
| 7 |
+
195e6efabd0a9dc238f04c83807d4e2cb79bd0270866773ad0b71a44c3794ba1 token.model
|
| 8 |
+
98d995aac8ef25850c80ad3051525d2403871b009d177040b68c95080c786101 training_summary.json
|
model_config.json
ADDED
|
@@ -0,0 +1,19 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"architecture": "recurrent_transformer",
|
| 3 |
+
"bias": false,
|
| 4 |
+
"block_size": 1024,
|
| 5 |
+
"dropout": 0.0,
|
| 6 |
+
"mlp_type": "swiglu",
|
| 7 |
+
"n_embd": 768,
|
| 8 |
+
"n_head": 12,
|
| 9 |
+
"n_kv_head": 4,
|
| 10 |
+
"n_layer": 16,
|
| 11 |
+
"norm_type": "rmsnorm",
|
| 12 |
+
"physical_layers": 16,
|
| 13 |
+
"position_encoding": "rope",
|
| 14 |
+
"recurrent_steps": 2,
|
| 15 |
+
"tie_embeddings": true,
|
| 16 |
+
"unrolled_depth": 32,
|
| 17 |
+
"vocab_size": 4096,
|
| 18 |
+
"zero_init_residual": true
|
| 19 |
+
}
|
model_weights.pth
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:6d251ab0c7595023006f7975b05436676311c18f17c8df608dc44a3e24f937b2
|
| 3 |
+
size 427953328
|
token.model
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:195e6efabd0a9dc238f04c83807d4e2cb79bd0270866773ad0b71a44c3794ba1
|
| 3 |
+
size 303491
|
training_summary.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"accelerator_hours": 23.124297935119447,
|
| 3 |
+
"block_applications_processed": 12582912000,
|
| 4 |
+
"estimated_training_flops": 601157982486528000,
|
| 5 |
+
"optimizer_steps_completed": 6000,
|
| 6 |
+
"peak_accelerator_memory_bytes": 2956411904,
|
| 7 |
+
"step": 5999,
|
| 8 |
+
"stored_parameters": 103834368,
|
| 9 |
+
"tokens_processed": 393216000,
|
| 10 |
+
"training_wall_seconds": 41623.736283215,
|
| 11 |
+
"validation_loss": 0.12996602058410645,
|
| 12 |
+
"validation_loss_step": 5750,
|
| 13 |
+
"world_size": 2
|
| 14 |
+
}
|