Figure 1. Overview of the Ritornello approach

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Figure 1. Overview of the Ritornello approach Figure 1. Overview of the Ritornello approach. Step 1: the reads are mapped to the genome and the distributions of read starts $\Pr [R^p]$ and $\Pr [R^n]$ are calculated. Step 2: the FLD $\Pr [F]$ is calculated using only those areas identified as background coverage (free of peaks and artifacts). Step 3: the expected distribution of reads around a binding event is calculated from a model including the FLD $\Pr [F]$ as well as the distribution of relative-binding positions within fragments $\Pr [K]$. Initially, K is modeled with a uniform distribution or equivalently K ∼ β(α, α) with α = 1. Step 4: the expected distribution of reads around a binding event is used to locate candidate-binding event peaks (e.g. b<sub>k − 1</sub>, b<sub>k</sub> and b<sub>k + 1</sub>) by identifying the positions with the highest match with impulse response function. Step 5: candidate-binding events are classified as either read length artifacts (e.g. b<sub>k + 1</sub>) or are retained as putative-binding events (e.g. b<sub>k − 1</sub> and b<sub>k</sub>) based on the shape of the local cross-correlation between opposing strands. Step 6: the binding intensity, $\beta ^p_k+\beta ^n_k$, of each peak, b<sub>k</sub> are deconvolved from the mixture of local peaks b<sub>k − 1</sub> and background noise using a maximum likelihood approach. The likelihood ratio test is then applied to determine the significance of the peak. Step 7: the distribution of relative-binding positions within fragments, $\Pr [K]$, is updated using a maximum likelihood estimate of α, where K ∼ β(α, α). This is obtained using a combined likelihood model for the top 200 most significant peaks. Steps 3–6 are repeated using the new $\Pr [K]$. From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

Figure 2. Ritornello captures the FLD from single-end sequencing data Figure 2. Ritornello captures the FLD from single-end sequencing data. Given a set of fragments, singled end sequenced reads are a subsample of paired-end sequenced reads. When enough single end fragments are sampled the distribution of read coverage on the positive and negative strands $\Pr [R^p]$ and $\Pr [R^n]$ are equivalent to their paired-end counterparts. A single read from each paired-end fragment of an EZH2 sample was randomly chosen to simulate singled end data. The FLD calculated by Ritornello from this data (black curve) closely approximates the true FLD (green curve). From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

Figure 3. The presence of binding events and read length artifacts hinders reconstruction of the FLD by deconvolution. Coverage patterns (positive strand in red and negative strand in blue) were generated from reads sampled randomly from either end of simulated fragments. Equation (2) was applied to infer the FLD, FLD (black). The actual FLD was calculated from the simulated fragments (green). The read length is shown in gray. (A) The FLD, inferred from reads in simulated binding regions, deviates from the true FLD. (B) The FLD, inferred from genomic background coverage outside of binding events, agrees with the true FLD. (C) In the presence of read length column artifacts, the inferred FLD deviates from the true FLD and exhibits a ‘phantom peak’ at read length. (D) In the presence of read length missing-column artifacts, the inferred FLD deviates from the true FLD and exhibits a ‘phantom peak’ at read length. From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

Figure 6. Local cross-correlation differentiates true-binding events from read length artifacts (false positives). (A) Local cross-correlation of a binding event in anti-ATF2 K562 ChIP sample peaks near the average fragment length. (B) Local cross-correlation of a column artifact in anti-ATF2 K562 ChIP sample peaks near the read length. (C) A scatterplot of the maximum local log cross-correlation up to 10 bp beyond the read length versus the maximum local log cross-correlation in the range of 10 bp beyond the read length to 0.75F<sub>max</sub> (D) A scatterplot of the maximum local binarized cross-correlation (using unique reads) up to 10 bp beyond the read length versus the maximum local binarized cross-correlation in the range of 10 bp beyond the read length to 0.75F<sub>max</sub>. From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

Figure 4. Column and missing-column artifacts and the nonrandom FLD in their neighborhoods. Examples of read length column (A) and missing-column (B) artifacts in a single-end human GM12878 cell anti-Serum Response Factor (SRF) ChIP sample on chromosome 1. Examples of a read length column (C) and missing-column artifact (D) in a paired-end MEF input control sample on chromosomes 1 and 18 respectively. Positive strand reads are shown in red while negative strand reads are shown in blue. The artifact center positions x where the sample genome differs from the reference are marked with asterisks. The paired-end scatterplots show each read’s position (x-axis) and associated fragment length (y-axis) to demonstrate the dependence relationship between genomic position and fragment length. Every positive strand read (red point) is accompanied by a negative strand read (blue point) originating from the same fragment. For clarity, in the paired-end column artifact plot (C), we have plotted each fragment and separated them to two groups such that in one group all fragments have positive strand reads within the positive strand column (light red column) and in the other group all fragments have negative strand reads within the negative strand column (light blue column). Explicitly, reads from fragments contributing positive strand columns are shown between the pink lines, while those from fragments contributing to the negative strand column are shown between cyan lines. The paired-end missing-column artifact (D) has a column of missing reads on the positive strand followed by a column of missing reads on the negative strand. The positive strand column of missing reads is linked to a diagonal of missing reads on the negative strand, representing the associated missing downstream fragment ends and are together outlined in light red. Similarly, the negative strand column of missing reads is linked to a diagonal of missing reads on the positive strand, representing the associated missing upstream fragment ends, and are together outlined in light blue. We highlight two fragments to demonstrate the coupling between reads on the positive strand and reads on the negative strand. From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

Figure 5. Read length artifacts likely stem from mapping problems Figure 5. Read length artifacts likely stem from mapping problems. Reads that map to their correct locations do not give rise to artifacts (left). Differences between the reference and sequenced genomes can produce missing-column artifacts and additionally the coverage can be relocated to a region of higher sequence similarity forming a column artifact (right). From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

Figure 8. Pileup of read start positions for ATF2 rep2 peaks in H1 cells obtained by Ritornello only (blue) compared with that obtained from (A) MACS2 only(red) and (B) GEM only(green). The pileups of peaks common to Ritornello and MACS2 (A) or Ritornello and GEM (B) are shown in black. The pileups of read start positions for Ritornello best match the pileups of common peaks. Additionally Ritornello unique peaks have comparable levels of motif enrichment as compared to the other algorithms. From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

Figure 7. The parameterized filter closely matches the peak shape Figure 7. The parameterized filter closely matches the peak shape. Shown is an example peak in a human SRF sample. The parameterized filter for this sample is shown in gray. The peak location as determined by the filter is shown by a dashed line. From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

Figure 9. Motif containing peaks as a function of the rank of the q-value for (A) ATF2 rep2, (B) E2F4 rep1, (C) E2F4 rep2 and (D) CTCF rep1. The number of peaks displayed is slightly more than the number of peaks reported by Ritornello. From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com

Figure 10. Pileup of read start positions for peaks identified by: Ritornello, (A) and (D) (blue); MACS2-I, (B) and (E) (dark red); and MACS2, (C) and (F) (light red) in samples of low quality and their matched controls. Matched controls are shown in black. The pileups of peaks detected by Ritornello show smooth bimodal shapes and similarly to MACS2-I, have stronger read coverage in the ChIP as compared to their matched controls. In contrast, the pileups of peaks detected by MACS2 have a narrower shape and irregular spikes similar to the negative controls. From: Ritornello: high fidelity control-free chromatin immunoprecipitation peak calling Nucleic Acids Res. Published online September 13, 2017. doi:10.1093/nar/gkx799 Nucleic Acids Res | © The Author(s) 2017. Published by Oxford University Press on behalf of Nucleic Acids Research.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com