Leaderboard Official Benchmark
Learn more Experimental
#MODELSCORE
85.9
283.9
383.2 *
483.1
582.5
Dataset Preview
Duplicate
The full dataset viewer is not available (click to read why). Only showing a preview of the rows.
The dataset generation failed because of a cast error
Error code:   DatasetGenerationCastError
Exception:    DatasetGenerationCastError
Message:      An error occurred while generating the dataset

All the data files must have the same columns, but at some point there are 5 new columns ({'first_n', 'case_sensitive', 'check_disallowed_characters', 'text', 'last_n'}) and 1 missing columns ({'math'}).

This happened while the json dataset builder was generating data using

hf://datasets/allenai/olmOCR-bench/bench_data/headers_footers.jsonl (at revision 54a96a6fb6a2bd3b297e59869491db4d3625b711), [/tmp/hf-datasets-cache/medium/datasets/77254696239047-config-parquet-and-info-allenai-olmOCR-bench-ff08fddd/hub/datasets--allenai--olmOCR-bench/snapshots/54a96a6fb6a2bd3b297e59869491db4d3625b711/bench_data/headers_footers.jsonl (origin=hf://datasets/allenai/olmOCR-bench@54a96a6fb6a2bd3b297e59869491db4d3625b711/bench_data/headers_footers.jsonl)]

Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1887, in _prepare_split_single
                  writer.write_table(table)
                File "/usr/local/lib/python3.12/site-packages/datasets/arrow_writer.py", line 675, in write_table
                  pa_table = table_cast(pa_table, self._schema)
                             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2272, in table_cast
                  return cast_table_to_schema(table, schema)
                         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/table.py", line 2218, in cast_table_to_schema
                  raise CastError(
              datasets.table.CastError: Couldn't cast
              pdf: string
              page: int64
              id: string
              type: string
              max_diffs: int64
              checked: string
              url: string
              text: string
              case_sensitive: bool
              first_n: int64
              last_n: int64
              check_disallowed_characters: bool
              to
              {'pdf': Value('string'), 'url': Value('string'), 'page': Value('int64'), 'id': Value('string'), 'type': Value('string'), 'max_diffs': Value('int64'), 'checked': Value('string'), 'math': Value('string')}
              because column names don't match
              
              During handling of the above exception, another exception occurred:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1347, in compute_config_parquet_and_info_response
                  parquet_operations = convert_to_parquet(builder)
                                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 980, in convert_to_parquet
                  builder.download_and_prepare(
                File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 884, in download_and_prepare
                  self._download_and_prepare(
                File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 947, in _download_and_prepare
                  self._prepare_split(split_generator, **prepare_split_kwargs)
                File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1736, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/builder.py", line 1889, in _prepare_split_single
                  raise DatasetGenerationCastError.from_cast_error(
              datasets.exceptions.DatasetGenerationCastError: An error occurred while generating the dataset
              
              All the data files must have the same columns, but at some point there are 5 new columns ({'first_n', 'case_sensitive', 'check_disallowed_characters', 'text', 'last_n'}) and 1 missing columns ({'math'}).
              
              This happened while the json dataset builder was generating data using
              
              hf://datasets/allenai/olmOCR-bench/bench_data/headers_footers.jsonl (at revision 54a96a6fb6a2bd3b297e59869491db4d3625b711), [/tmp/hf-datasets-cache/medium/datasets/77254696239047-config-parquet-and-info-allenai-olmOCR-bench-ff08fddd/hub/datasets--allenai--olmOCR-bench/snapshots/54a96a6fb6a2bd3b297e59869491db4d3625b711/bench_data/headers_footers.jsonl (origin=hf://datasets/allenai/olmOCR-bench@54a96a6fb6a2bd3b297e59869491db4d3625b711/bench_data/headers_footers.jsonl)]
              
              Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)

Need help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.

pdf
string
url
string
page
int64
id
string
type
string
max_diffs
int64
checked
string
math
string
arxiv_math/2503.04048_pg46.pdf
https://arxiv.org/pdf/2503.04048
1
2503.04048_pg46_math_000
math
0
null
{\mathcal{V}}(\psi_m)\rightarrow +\infty
arxiv_math/2503.07228_pg12.pdf
https://arxiv.org/pdf/2503.07228
1
2503.07228_pg12_math_000
math
0
null
0 \leq k \leq 2^{N}-1
arxiv_math/2503.04993_pg18.pdf
https://arxiv.org/pdf/2503.04993
1
2503.04993_pg18_math_001
math
0
null
\frac{d}{d\epsilon} J_1(u_1 + \epsilon v_1, u_2) \Big|_{\epsilon=0}
arxiv_math/2503.04993_pg18.pdf
https://arxiv.org/pdf/2503.04993
1
2503.04993_pg18_math_002
math
0
verified
\frac{d}{d\epsilon} J_1(u_1 + \epsilon v_1, u_2) \Big|_{\epsilon=0}=I_1 + I_2
arxiv_math/2503.06865_pg3.pdf
https://arxiv.org/pdf/2503.06865
1
2503.06865_pg3_math_000
math
0
null
F(q,r)=\gamma _{J\nu (q)}(r)
arxiv_math/2503.06865_pg3.pdf
https://arxiv.org/pdf/2503.06865
1
2503.06865_pg3_math_001
math
0
null
F:N\times \mathbb{R}\rightarrow \mathbb{C}H^{2}
arxiv_math/2503.06865_pg3.pdf
https://arxiv.org/pdf/2503.06865
1
2503.06865_pg3_math_002
math
0
null
H^{2}\left( -4\right)
arxiv_math/2503.06865_pg3.pdf
https://arxiv.org/pdf/2503.06865
1
2503.06865_pg3_math_003
math
0
null
B(\gamma _{J\nu (p)}(-t))=\gamma _{J\nu (p)}(t)% \text{.}
arxiv_math/2503.09550_pg2.pdf
https://arxiv.org/pdf/2503.09550
1
2503.09550_pg2_math_000
math
0
null
\{f_j:X_n \rightarrow \mathbb{R}\}
arxiv_math/2503.09550_pg2.pdf
https://arxiv.org/pdf/2503.09550
1
2503.09550_pg2_math_003
math
0
null
-1<\beta_{\vert X \vert} \leq \ldots \leq \beta_2< \beta_1=1
arxiv_math/2503.08077_pg42.pdf
https://arxiv.org/pdf/2503.08077
1
2503.08077_pg42_math_000
math
0
null
\{ \tfrac{-1}{2} , 0 , \tfrac{+1}{2} \}
arxiv_math/2503.04045_pg2.pdf
https://arxiv.org/pdf/2503.04045
1
2503.04045_pg2_math_000
math
0
null
k\geq k_{\varepsilon}
arxiv_math/2503.05614_pg12.pdf
https://arxiv.org/pdf/2503.05614
1
2503.05614_pg12_math_000
math
0
null
R\Gamma_{\text{global}}(E, \mathcal{D}) \simeq R\text{Hom}(R\Gamma_{\text{global}}(E, \mathcal{D}), \mathbb{Q}/\mathbb{Z}(1))[1]
arxiv_math/2503.05614_pg12.pdf
https://arxiv.org/pdf/2503.05614
1
2503.05614_pg12_math_001
math
0
verified
C^\bullet(E) \simeq R\text{Hom}(C^\bullet(E), \mathbb{Q}/\mathbb{Z}(1))[1]
arxiv_math/2503.05614_pg12.pdf
https://arxiv.org/pdf/2503.05614
1
2503.05614_pg12_math_002
math
0
null
\Lambda(E, s) = \varepsilon_E \cdot \Lambda(E, 2 - s)
arxiv_math/2503.05614_pg12.pdf
https://arxiv.org/pdf/2503.05614
1
2503.05614_pg12_math_003
math
0
null
P, Q \in E(\mathbb{Q})
arxiv_math/2503.05614_pg12.pdf
https://arxiv.org/pdf/2503.05614
1
2503.05614_pg12_math_004
math
0
null
E(\mathbb{Q})/E(\mathbb{Q})_{\text{tors}}
arxiv_math/2503.05614_pg12.pdf
https://arxiv.org/pdf/2503.05614
1
2503.05614_pg12_math_005
math
0
null
R\Gamma(\mathbb{Q}_v, \mathcal{D}_v) \simeq R\text{Hom}(R\Gamma(\mathbb{Q}_v, \mathcal{D}_v), \mathbb{Q}/\mathbb{Z}(1))[1]
arxiv_math/2503.05360_pg2.pdf
https://arxiv.org/pdf/2503.05360
1
2503.05360_pg2_math_003
math
0
null
\vdash \phi \quad \text{iff} \quad M \vdash g \tag{\text{$\dagger$}}
arxiv_math/2503.05360_pg2.pdf
https://arxiv.org/pdf/2503.05360
1
2503.05360_pg2_math_005
math
0
null
\chi = \chi_1 \land \chi_2
arxiv_math/2503.08031_pg36.pdf
https://arxiv.org/pdf/2503.08031
1
2503.08031_pg36_math_001
math
0
verified
h(x,x') = \sum_{k=1}^{K} \phi_k(x)\phi_k(x')
arxiv_math/2503.08031_pg36.pdf
https://arxiv.org/pdf/2503.08031
1
2503.08031_pg36_math_002
math
0
null
\Sigma\in \mathbb{R}^{K\times K}
arxiv_math/2503.08031_pg36.pdf
https://arxiv.org/pdf/2503.08031
1
2503.08031_pg36_math_004
math
0
null
h: \mathbb{R}^p \times \mathbb{R}^p \to \mathbb{R}
arxiv_math/2503.08031_pg36.pdf
https://arxiv.org/pdf/2503.08031
1
2503.08031_pg36_math_005
math
0
null
\phi_1,\dots,\phi_K:\mathbb{R}^p\to\mathbb{R}
arxiv_math/2503.08031_pg36.pdf
https://arxiv.org/pdf/2503.08031
1
2503.08031_pg36_math_006
math
0
null
\phi(X_1) = (\phi_1(X_1),\ldots,\phi_{K}(X_1))
arxiv_math/2503.05717_pg14.pdf
https://arxiv.org/pdf/2503.05717
1
2503.05717_pg14_math_000
math
0
null
\beta=0, \,-10, \,-20, \,-30
arxiv_math/2503.05717_pg14.pdf
https://arxiv.org/pdf/2503.05717
1
2503.05717_pg14_math_002
math
0
null
\sqrt{2 \pi r} T_{22}
arxiv_math/2503.05717_pg14.pdf
https://arxiv.org/pdf/2503.05717
1
2503.05717_pg14_math_003
math
0
null
10^4\text{mm}^{1/2}\text{Pa}
arxiv_math/2503.04108_pg45.pdf
https://arxiv.org/pdf/2503.04108
1
2503.04108_pg45_math_000
math
0
null
\mathfrak{g}\supset \mathfrak{g}^{\prime}
arxiv_math/2503.04108_pg45.pdf
https://arxiv.org/pdf/2503.04108
1
2503.04108_pg45_math_001
math
0
null
\mathfrak{su}(4) \supset \mathfrak{su}(2) \times \mathfrak{su}(2)
arxiv_math/2503.08522_pg23.pdf
https://arxiv.org/pdf/2503.08522
1
2503.08522_pg23_math_000
math
0
null
\|v\|_2 \leq \|v\|_q
arxiv_math/2503.08675_pg30.pdf
https://arxiv.org/pdf/2503.08675
1
2503.08675_pg30_math_000
math
0
null
\underline r(t)-\ell_t
arxiv_math/2503.08675_pg30.pdf
https://arxiv.org/pdf/2503.08675
1
2503.08675_pg30_math_001
math
0
null
\liminf_{i\to\infty}d(i)\geq R
arxiv_math/2503.08675_pg30.pdf
https://arxiv.org/pdf/2503.08675
1
2503.08675_pg30_math_002
math
0
null
K_0:=C(\lambda^*+R)^{-1}
arxiv_math/2503.05752_pg4.pdf
https://arxiv.org/pdf/2503.05752
1
2503.05752_pg4_math_000
math
0
null
\varepsilon\gtrsim0.5
arxiv_math/2503.04620_pg35.pdf
https://arxiv.org/pdf/2503.04620
1
2503.04620_pg35_math_000
math
0
null
\log(z) = \log|z| + i(\arg(z) + 2\pi m), \forall m \in \mathbb{Z}
arxiv_math/2503.04620_pg35.pdf
https://arxiv.org/pdf/2503.04620
1
2503.04620_pg35_math_001
math
0
null
B_{kj} = \begin{cases} \delta_{k, j-1}, & \text{for } k = 1, 2, \ldots, 2r-1 ,\\ -\dfrac{h_{j-1}}{\tilde{a}_r - i \tilde{b}_r}, & \text{for } k = 2r, \end{cases}
arxiv_math/2503.04620_pg35.pdf
https://arxiv.org/pdf/2503.04620
1
2503.04620_pg35_math_002
math
0
null
x_t = (\arg(z_t) + 2\pi m) - i \log|z_t|, \quad t = 1, 2, \ldots, 2r, \quad \forall m \in \mathbb{Z}
arxiv_math/2503.04620_pg35.pdf
https://arxiv.org/pdf/2503.04620
1
2503.04620_pg35_math_003
math
0
null
\mathbf{B} = \begin{bmatrix} 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ -\frac{\tilde{a}_2 + i \tilde{b}_2}{\tilde{a}_2 - i \tilde{b}_2} & -\frac{\tilde{a}_1 + i \tilde{b}_1}{\tilde{a}_2 - i \tilde{b}_2} & 0 & - \frac{\tilde{a}_1 - i \tilde{b}_1}{\tilde{a}_2 - i \tilde{b}_2} \end{bmatrix}
arxiv_math/2503.04620_pg35.pdf
https://arxiv.org/pdf/2503.04620
1
2503.04620_pg35_math_004
math
0
null
h_j = \begin{cases} \tilde{a}_{r-j} + i \tilde{b}_{r-j}, & j = 0, 1, \ldots, r-1 ,\\ 2 \tilde{a}_0, & j = r, \\ \tilde{a}_{j-r} - i \tilde{b}_{j-r}, & j = r+1, r+2, \ldots, 2r. \end{cases}
arxiv_math/2503.04620_pg35.pdf
https://arxiv.org/pdf/2503.04620
1
2503.04620_pg35_math_005
math
0
null
\tilde{a}_k = \begin{cases} 0, & \text{for } k = 0\\ b_k k, & \text{for } k = 1, 2, \ldots, r \end{cases} \quad \text{and} \quad \tilde{b}_k = -a_k k, \text{for } k = 1, 2, \ldots, r
arxiv_math/2503.04620_pg35.pdf
https://arxiv.org/pdf/2503.04620
1
2503.04620_pg35_math_006
math
0
null
x_t = \arg(z_t) + 2\pi m, \quad \text{when} \quad |z_t| = 1
arxiv_math/2503.05276_pg14.pdf
https://arxiv.org/pdf/2503.05276
1
2503.05276_pg14_math_000
math
0
null
V(s) \approx \hat{v}_w(s) \coloneqq w^\intercal \psi(s)
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_000
math
0
null
3<p<\infty, ~1<q<\infty
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_001
math
0
null
S_F: U(b)\subset L^q([0,b], H_p)\multimap L^q([0,b],L^p(D)^3)
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_002
math
0
verified
F(t,\cdot): H_p\multimap L^p(D)^3
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_003
math
0
verified
F: [0,a]\times H_p \multimap L^p(D)^3
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_004
math
0
null
\eta_F:[0,\infty)\to [0,\infty)
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_005
math
0
null
S_F(u)=\{f\in L^q([0,b],L^p(D)^3): f(t)\in F(t,u(t)),~\text{a.a.}~t\in [0,b]\}
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_006
math
0
null
p\in L^q([0,b], W^{1,p}(D)^3)
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_007
math
0
null
(D,f_1,f_2)\in \Sigma\times K\times K
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_008
math
0
null
F: Z\multimap L^1(I, X)
arxiv_math/2503.08351_pg5.pdf
https://arxiv.org/pdf/2503.08351
1
2503.08351_pg5_math_009
math
0
null
f\in L^q([0,b], L^p(D)^3)
arxiv_math/2503.09178_pg16.pdf
https://arxiv.org/pdf/2503.09178
1
2503.09178_pg16_math_000
math
0
null
\left\{ \begin{aligned} \varphi(0,\mu) &= \mu^{2} + const, \quad \text{if } \mu > 0, \\ \varphi(1,\mu) &= \mu^{2} + const, \quad \text{if } \mu < 0. \end{aligned} \right.
arxiv_math/2503.09178_pg16.pdf
https://arxiv.org/pdf/2503.09178
1
2503.09178_pg16_math_001
math
0
null
\varphi(x,\mu) = \mu^{2}\cos^{4}\pi x + const
arxiv_math/2503.09178_pg16.pdf
https://arxiv.org/pdf/2503.09178
1
2503.09178_pg16_math_002
math
0
null
s(x,\mu) = -4 \pi \mu^{3} \cos^{3}\pi x \sin\pi x + \Sigma_{t}(\mu^{2}\cos^{4}\pi x + const) - \Sigma_{s}(const + \frac{\cos^{4}\pi x}{3})
arxiv_math/2503.09178_pg16.pdf
https://arxiv.org/pdf/2503.09178
1
2503.09178_pg16_math_003
math
0
null
\Sigma_{t} = 22000, \quad \Sigma_{s} = 1
arxiv_math/2503.09178_pg16.pdf
https://arxiv.org/pdf/2503.09178
1
2503.09178_pg16_math_004
math
0
null
\Vert u-u_{N}^{M} \Vert_{L^{2}}
arxiv_math/2503.06379_pg4.pdf
https://arxiv.org/pdf/2503.06379
1
2503.06379_pg4_math_000
math
0
null
f:\mathcal{P}\rightarrow\mathcal{Q}
arxiv_math/2503.06379_pg4.pdf
https://arxiv.org/pdf/2503.06379
1
2503.06379_pg4_math_001
math
0
null
f : (\mathcal{P},\leq_\mathcal{P})\rightarrow(\mathcal{Q},\leq_\mathcal{Q})
arxiv_math/2503.06379_pg4.pdf
https://arxiv.org/pdf/2503.06379
1
2503.06379_pg4_math_002
math
0
null
|f|, |g|: |\mathcal{P}| \to |\mathcal{Q}|
arxiv_math/2503.06379_pg4.pdf
https://arxiv.org/pdf/2503.06379
1
2503.06379_pg4_math_004
math
0
null
|f| : |\mathcal{P}|\rightarrow|\mathcal{Q}|
arxiv_math/2503.06379_pg4.pdf
https://arxiv.org/pdf/2503.06379
1
2503.06379_pg4_math_007
math
0
null
f \circ g \simeq \text{Id}_Y
arxiv_math/2503.06379_pg4.pdf
https://arxiv.org/pdf/2503.06379
1
2503.06379_pg4_math_008
math
0
null
g \circ f \simeq \text{Id}_X
arxiv_math/2503.06379_pg4.pdf
https://arxiv.org/pdf/2503.06379
1
2503.06379_pg4_math_010
math
0
null
f(x) \leq_\mathcal{Q} f(y)
arxiv_math/2503.07251_pg28.pdf
https://arxiv.org/pdf/2503.07251
1
2503.07251_pg28_math_000
math
0
null
\tau_{1},\ldots, \tau_{L^{G}}
arxiv_math/2503.07251_pg28.pdf
https://arxiv.org/pdf/2503.07251
1
2503.07251_pg28_math_001
math
0
null
\Delta \tau=\tau_{i+1}-\tau_{i}
arxiv_math/2503.07251_pg28.pdf
https://arxiv.org/pdf/2503.07251
1
2503.07251_pg28_math_002
math
0
null
G_l, l=1\ldots,L^{G}=8
arxiv_math/2503.03827_pg10.pdf
https://arxiv.org/pdf/2503.03827
1
2503.03827_pg10_math_000
math
0
null
I = \langle f(x,y),~g(x,y) \rangle
arxiv_math/2503.03827_pg10.pdf
https://arxiv.org/pdf/2503.03827
1
2503.03827_pg10_math_001
math
0
null
\vec{a}_1 = (0, \frac{n}{2}), \quad \vec{a}_2 = (1, \gamma), \quad \text{with } 0 \leq \gamma < \frac{n}{2}
arxiv_math/2503.03827_pg10.pdf
https://arxiv.org/pdf/2503.03827
1
2503.03827_pg10_math_002
math
0
null
[[254, 28, 14 \leq d \leq 20]]
arxiv_math/2503.08770_pg37.pdf
https://arxiv.org/pdf/2503.08770
1
2503.08770_pg37_math_001
math
0
null
M_{z+w}\otimes N_w\otimes P_0
arxiv_math/2503.08770_pg37.pdf
https://arxiv.org/pdf/2503.08770
1
2503.08770_pg37_math_002
math
0
null
M_{z+w}\otimes (N_w\otimes P_0)
arxiv_math/2503.08770_pg37.pdf
https://arxiv.org/pdf/2503.08770
1
2503.08770_pg37_math_003
math
0
null
(1\otimes \Delta_w) \Delta_{z+w}=(\Delta_z\otimes 1)\Delta_w
arxiv_math/2503.08770_pg37.pdf
https://arxiv.org/pdf/2503.08770
1
2503.08770_pg37_math_004
math
0
null
(M_z\otimes N)_w\otimes P_0
arxiv_math/2503.08646_pg17.pdf
https://arxiv.org/pdf/2503.08646
1
2503.08646_pg17_math_000
math
0
null
\mu_{u^\perp}+\mu_{v^\perp}=0
arxiv_math/2503.08646_pg17.pdf
https://arxiv.org/pdf/2503.08646
1
2503.08646_pg17_math_001
math
0
null
w\in \mathrm{T}_p\mu^{-1}(0)/\mathrm{T}_pL
arxiv_math/2503.08646_pg17.pdf
https://arxiv.org/pdf/2503.08646
1
2503.08646_pg17_math_002
math
0
null
\mathrm{T}_p\mu^{-1}(0)
arxiv_math/2503.08646_pg17.pdf
https://arxiv.org/pdf/2503.08646
1
2503.08646_pg17_math_003
math
0
null
{\mathrm{Span}\left(\Bigl\{ u_i \Bigr\}_{i=2}^n\right)=\mathrm{Span}\left(\Bigl\{ v_i^\ast \Bigr\}_{i=2}^n\right)}
arxiv_math/2503.08646_pg17.pdf
https://arxiv.org/pdf/2503.08646
1
2503.08646_pg17_math_004
math
0
null
\mathrm{T}_p\mu^{-1}(0)\simeq \mathrm{T}_pL
arxiv_math/2503.08646_pg17.pdf
https://arxiv.org/pdf/2503.08646
1
2503.08646_pg17_math_006
math
0
null
d\mu[v]=\omega(\bullet, v)
arxiv_math/2503.08646_pg17.pdf
https://arxiv.org/pdf/2503.08646
1
2503.08646_pg17_math_007
math
0
null
\mu_u^\perp=\sum_{i=2}^n\,\left(u_i\otimes u_i^\dagger-u_i^\ast \otimes u_i^t\right)
arxiv_math/2503.08646_pg17.pdf
https://arxiv.org/pdf/2503.08646
1
2503.08646_pg17_math_008
math
0
null
(w, u^\perp)\mapsto \Bigl(u, v, w\Bigr)
arxiv_math/2503.08646_pg17.pdf
https://arxiv.org/pdf/2503.08646
1
2503.08646_pg17_math_009
math
0
null
\mathrm{Span}(\mathrm{T}_pL, w)
arxiv_math/2503.09588_pg25.pdf
https://arxiv.org/pdf/2503.09588
1
2503.09588_pg25_math_000
math
0
null
\overline{\alpha}\colon S_0\to S_1
arxiv_math/2503.09588_pg25.pdf
https://arxiv.org/pdf/2503.09588
1
2503.09588_pg25_math_002
math
0
null
\iota_1\circ c' = \iota_0\circ c\circ \alpha^{-1}
arxiv_math/2503.09588_pg25.pdf
https://arxiv.org/pdf/2503.09588
1
2503.09588_pg25_math_004
math
0
null
c_{ac}\colon X\to S_{ac}
arxiv_math/2503.09588_pg25.pdf
https://arxiv.org/pdf/2503.09588
1
2503.09588_pg25_math_005
math
0
null
c_{bd}\colon X\to S_{bd}
arxiv_math/2503.09588_pg25.pdf
https://arxiv.org/pdf/2503.09588
1
2503.09588_pg25_math_006
math
0
null
\{H_1,\dots, H_{k-1}, K_k\}
arxiv_math/2503.09588_pg25.pdf
https://arxiv.org/pdf/2503.09588
1
2503.09588_pg25_math_007
math
0
null
c_{ab}\colon X\to S_{ab}
arxiv_math/2503.09588_pg25.pdf
https://arxiv.org/pdf/2503.09588
1
2503.09588_pg25_math_008
math
0
null
c'\circ\alpha = \overline{\alpha} \circ c
arxiv_math/2503.09588_pg25.pdf
https://arxiv.org/pdf/2503.09588
1
2503.09588_pg25_math_009
math
0
null
c_{cd}\colon X\to S_{cd}
arxiv_math/2503.04448_pg10.pdf
https://arxiv.org/pdf/2503.04448
1
2503.04448_pg10_math_005
math
0
null
d(X_1,X_2) + d(X_2,X_1) = 1
arxiv_math/2503.04448_pg10.pdf
https://arxiv.org/pdf/2503.04448
1
2503.04448_pg10_math_006
math
0
null
\lambda_i/(\sum_j \lambda_j)
arxiv_math/2503.05358_pg8.pdf
https://arxiv.org/pdf/2503.05358
1
2503.05358_pg8_math_000
math
0
null
v_{1,{\max}} = \sqrt{C3} + v^E = \sqrt{C3} + \sqrt {\frac{\mu^S}{r^E}}
arxiv_math/2503.05358_pg8.pdf
https://arxiv.org/pdf/2503.05358
1
2503.05358_pg8_math_001
math
0
null
\cos(\theta_{12}) = \frac{1}{e} \left( \frac{p}{r^F} - 1 \right)
arxiv_math/2503.05358_pg8.pdf
https://arxiv.org/pdf/2503.05358
1
2503.05358_pg8_math_002
math
0
null
l^F_2 = \Omega^F + \omega^F + n^F (t_2 - t^F_p)
arxiv_math/2503.05358_pg8.pdf
https://arxiv.org/pdf/2503.05358
1
2503.05358_pg8_math_003
math
0
null
E_{\max} = \frac{v^2_{1,{\max}}}{2} - \frac{\mu^S}{r^E} \to a_{\max} = \frac{-\mu^S}{2E_{\max}} \to e_{max} = 1 - \frac{r^E}{a_{\max}}
arxiv_math/2503.05358_pg8.pdf
https://arxiv.org/pdf/2503.05358
1
2503.05358_pg8_math_004
math
0
null
a_{\min} = \frac{r^E + r^F}{2} \to e_{\min} = 1 - \frac{r^E}{a_{\min}}
arxiv_math/2503.06716_pg12.pdf
https://arxiv.org/pdf/2503.06716
1
2503.06716_pg12_math_000
math
0
null
d(u_k,\mathcal{M})\to L\in\left[0,\sqrt{\mu_{s,t}}\right]
End of preview.

olmOCR-bench

olmOCR-bench is a dataset of 1,403 PDF files, plus 7,010 unit test cases that capture properties of the output that a good OCR system should have. This benchmark evaluates the ability of OCR systems to accurately convert PDF documents to markdown format while preserving critical textual and structural information.

Quick links:

Table 1. Distribution of Test Classes by Document Source

Document Source Text Present Text Absent Reading Order Table Math Total
arXiv Math - - - - 2,927 2,927
Headers Footers - 753 - - - 753
Long Tiny Text 442 - - - - 442
Multi Column - - 884 - - 884
Old Scans 279 70 177 - - 526
Old Scans Math - - - - 458 458
Table Tests - - - 1,020 - 1,020
Total 721 823 1,061 1,020 3,385 7,010

Table 2. Document source category breakdown

Category PDFs Tests Source Extraction Method
arXiv_math 522 2,927 arXiv Dynamic programming alignment
old_scans_math 36 458 Internet Archive Script-generated + manual rules
tables_tests 188 1,020 Internal repository gemini-flash-2.0
old_scans 98 526 Library of Congress Manual rules
headers_footers 266 753 Internal repository DocLayout-YOLO + gemini-flash-2.0
multi_column 231 884 Internal repository claude-sonnet-3.7 + HTML rendering
long_tiny_text 62 442 Internet Archive gemini-flash-2.0
Total 1,403 7,010 Multiple sources

Evaluation Criteria

  • Text Presence: Checks if a short text segment (1โ€“3 sentences) is correctly identified in the OCR output. Supports fuzzy matching and positional constraints (e.g., must appear in the first/last N characters). Case-sensitive by default.
  • Text Absence: Ensures specified text (e.g., headers, footers, page numbers) is excluded. Supports fuzzy matching and positional constraints. Not case-sensitive.
  • Natural Reading Order: Verifies the relative order of two text spans (e.g., headline before paragraph). Soft matching enabled; case-sensitive by default.
  • Table Accuracy: Confirms that specific cell values exist in tables with correct neighboring relationships (e.g., value above/below another). Supports Markdown and HTML, though complex structures require HTML.
  • Math Formula Accuracy: Detects the presence of a target equation by matching symbol layout (e.g., $\int$ to the left of $x$). Based on rendered bounding boxes and relative positioning.

๐Ÿ“Š Benchmark Results by Document Source

Model ArXiv Base Hdr/Ftr TinyTxt MultCol OldScan OldMath Tables Overall
GOT OCR 52.7 94.0 93.6 29.9 42.0 22.1 52.0 0.2 48.3 ยฑ 1.1
Marker v1.6.2 24.3 99.5 87.1 76.9 71.0 24.3 22.1 69.8 59.4 ยฑ 1.1
MinerU v1.3.10 75.4 96.6 96.6 39.1 59.0 17.3 47.4 60.9 61.5 ยฑ 1.1
Mistral OCR API 77.2 99.4 93.6 77.1 71.3 29.3 67.5 60.6 72.0 ยฑ 1.1
GPT-4o (Anchored) 53.5 96.8 93.8 60.6 69.3 40.7 74.5 70.0 69.9 ยฑ 1.1
GPT-4o (No Anchor) 51.5 96.7 94.2 54.1 68.9 40.9 75.5 69.1 68.9 ยฑ 1.1
Gemini Flash 2 (Anchored) 54.5 95.6 64.7 71.5 61.5 34.2 56.1 72.1 63.8 ยฑ 1.2
Gemini Flash 2 (No Anchor) 32.1 94.0 48.0 84.4 58.7 27.8 56.3 61.4 57.8 ยฑ 1.1
Qwen 2 VL (No Anchor) 19.7 55.5 88.9 6.8 8.3 17.1 31.7 24.2 31.5 ยฑ 0.9
Qwen 2.5 VL (No Anchor) 63.1 98.3 73.6 49.1 68.3 38.6 65.7 67.3 65.5 ยฑ 1.2
Ours (No Anchor) 72.1 98.1 91.6 80.5 78.5 43.7 74.7 71.5 76.3 ยฑ 1.1
Ours (Anchored) 75.6 99.0 93.4 81.7 79.4 44.5 75.1 70.2 77.4 ยฑ 1.0

License

This dataset is licensed under ODC-BY-1.0. It is intended for research and educational use in accordance with AI2's Responsible Use Guidelines.

Downloads last month
3,125

Spaces using allenai/olmOCR-bench 2

Collection including allenai/olmOCR-bench

Paper for allenai/olmOCR-bench